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<!DOCTYPE html>
<html><head>
<span id="line2"></span>        "http://www.w3.org/TR/html4/loose.dtd"&gt;</span><span>
<span id="line3"></span></span><span class="comment">&lt;!--  Created by Walter Zorn  --&gt;</span><span>
<span id="line4"></span></span><span>&lt;<span class="start-tag">html</span>&gt;</span><span>
<span id="line5"></span></span><span>&lt;<span class="start-tag">head</span>&gt;</span><span>
<span id="line6"></span></span><span>&lt;<span class="start-tag">title</span>&gt;</span><span>Function Grapher Online</span><span>&lt;/<span class="end-tag">title</span>&gt;</span><span>
<span id="line7"></span></span><span>&lt;<span class="start-tag">meta</span> <span class="attribute-name">http-equiv</span>="<a class="attribute-value">Content-Type</a>" <span class="attribute-name">content</span>="<a class="attribute-value">text/html; charset=iso-8859-1</a>"&gt;</span><span>
<span id="line8"></span></span><span>&lt;<span class="start-tag">link</span> <span class="attribute-name">rel</span>="<a class="attribute-value">stylesheet</a>" <span class="attribute-name">type</span>="<a class="attribute-value">text/css</a>" <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/newwalterzorn.css">../newwalterzorn.css</a>"&gt;</span><span>
<span id="line9"></span></span><span>&lt;<span class="start-tag">style</span> <span class="attribute-name">type</span>="<a class="attribute-value">text/css</a>"&gt;</span><span>
<span id="line10"></span></span><span>&lt;</span><span>!--
<span id="line11"></span>--&gt;
<span id="line12"></span></span><span>&lt;/<span class="end-tag">style</span>&gt;</span><span>
<span id="line13"></span></span><span>&lt;<span class="start-tag">script</span> <span class="attribute-name">type</span>="<a class="attribute-value">text/javascript</a>"&gt;</span><span>
<span id="line14"></span></span><span>&lt;!</span><span>--
<span id="line15"></span>function mkFourier(f)
<span id="line16"></span>{
<span id="line17"></span>    var htm = '';
<span id="line18"></span>    var na = parseInt(f.FOU_NA.value), nz = parseInt(f.FOU_NZ.value), dn = parseFloat(f.FOU_DN.value);
<span id="line19"></span>    var sgn = f.FOU_SGN[2].checked? -1 : f.FOU_SGN[3].checked? 1 : 0;
<span id="line20"></span>    for (var i = na; i </span><span>&lt;=</span><span> nz; i += (dn || nz))
<span id="line21"></span>    {
<span id="line22"></span>        htm += ((i == na)? '' : (sgn </span><span>&lt; </span><span>0 || !sgn &amp;&amp; f.FOU_SGN[1].checked)? '-' : '+') + f.FOU_TERM.value.replace(/\s/g, '').replace(/sin/g,'sim').replace(/n/gi, ''+i).replace(/sim/g,'sin');
<span id="line23"></span>        sgn = -sgn;
<span id="line24"></span>    }
<span id="line25"></span>    f.FOU_OUT.value = htm;
<span id="line26"></span>}
<span id="line27"></span>//--&gt;
<span id="line28"></span></span><span>&lt;/<span class="end-tag">script</span>&gt;</span><span>
<span id="line29"></span></span><span>&lt;/<span class="end-tag">head</span>&gt;</span><span>
<span id="line30"></span></span><span>&lt;<span class="start-tag">body</span> <span class="attribute-name">bgcolor</span>="<a class="attribute-value">#ffffff</a>"&gt;</span><span>
<span id="line31"></span>  </span><span>&lt;<span class="start-tag">form</span> <span class="attribute-name">name</span>="<a class="attribute-value">fo</a>" <span class="attribute-name">action</span>="<a class="attribute-value">javascript:if (window.mkGraph) mkGraph(this);</a>" <span class="attribute-name">onsubmit</span>="<a class="attribute-value">return false;</a>"&gt;</span><span>
<span id="line32"></span>    </span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">name</span>="<a class="attribute-value">top</a>"&gt;</span><span> </span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span>
<span id="line33"></span>    </span><span>&lt;<span class="start-tag">center</span>&gt;</span><span>
<span id="line34"></span>      </span><span>&lt;<span class="start-tag">div</span> <span class="attribute-name">id</span>="<a class="attribute-value">body1</a>"&gt;</span><span>
<span id="line35"></span>        </span><span>&lt;<span class="start-tag">table</span> <span class="attribute-name">width</span>="<a class="attribute-value">99%</a>"&gt;</span><span>
<span id="line36"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line37"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">left</a>"&gt;</span><span>
<span id="line38"></span>              <span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/grapher/grapher.htm">http://www.walterzorn.de/grapher/grapher.htm</a>" <span class="attribute-name">target</span>="<a class="attribute-value">_top</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">img</span> <span class="attribute-name">src</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/images/germany.gif">../images/germany.gif</a>" <span class="attribute-name">align</span>="<a class="attribute-value">middle</a>" <span class="attribute-name">border</span>="<a class="attribute-value">0</a>" <span class="attribute-name">alt</span>="<a class="attribute-value">German version</a>" <span class="attribute-name">width</span>="<a class="attribute-value">22</a>" <span class="attribute-name">height</span>="<a class="attribute-value">15</a>"&gt;</span><span></span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span> </span><span>&lt;<span class="start-tag">small</span>&gt;</span><span></span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/grapher/grapher.htm">http://www.walterzorn.de/grapher/grapher.htm</a>" <span class="attribute-name">target</span>="<a class="attribute-value">_top</a>"&gt;</span><span>German version</span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">small</span>&gt;</span><span>
<span id="line39"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line40"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line41"></span>        </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line42"></span>        </span><span>&lt;<span class="start-tag">table</span>&gt;</span><span>
<span id="line43"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line44"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">center</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/index.htm">../index.htm</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">img</span> <span class="attribute-name">border</span>="<a class="attribute-value">0</a>" <span class="attribute-name">src</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/images/logo.gif">../images/logo.gif</a>" <span class="attribute-name">alt</span>="<a class="attribute-value"></a>" <span class="attribute-name">width</span>="<a class="attribute-value">271</a>" <span class="attribute-name">height</span>="<a class="attribute-value">30</a>"&gt;</span><span></span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line45"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line46"></span>        </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line47"></span>        </span><span>&lt;<span class="start-tag">table</span> <span class="attribute-name">cellspacing</span>="<a class="attribute-value">12</a>"&gt;</span><span>
<span id="line48"></span>          </span><span>&lt;<span class="start-tag">tr</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line49"></span>            </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span></span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/index.htm">../index.htm</a>"&gt;</span><span>Home</span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line50"></span>            </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span></span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/dragdrop/dragdrop_e.htm">../dragdrop/dragdrop_e.htm</a>"&gt;</span><span>DHTML-Drag<span class="entity"><span>&amp;</span>amp;</span>Drop-Library</span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line51"></span>            </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span></span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/jsgraphics/jsgraphics_e.htm">../jsgraphics/jsgraphics_e.htm</a>"&gt;</span><span>VectorGraphics-Library</span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line52"></span>            </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span></span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/tooltip/tooltip_e.htm">../tooltip/tooltip_e.htm</a>"&gt;</span><span>Tooltips-Library</span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line53"></span>            </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line54"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">style</span>="<a class="attribute-value">border: 1px solid #000099;</a>"&gt;</span><span>
<span id="line55"></span>            
<span id="line56"></span>            
<span id="line57"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line58"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line59"></span>        </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line60"></span>        </span><span>&lt;<span class="start-tag">table</span> <span class="attribute-name">cellpadding</span>="<a class="attribute-value">6</a>" <span class="attribute-name">width</span>="<a class="attribute-value">740</a>"&gt;</span><span>
<span id="line61"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line62"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">left</a>"&gt;</span><span>
<span id="line63"></span>              </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span></span><span>&lt;<span class="start-tag">big</span>&gt;</span><span>Online Function Grapher</span><span>&lt;/<span class="end-tag">big</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line64"></span>              </span><span>&lt;<span class="start-tag">small</span>&gt;</span><span>Written entirely in JavaScript</span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>By Walter Zorn</span><span>&lt;/<span class="end-tag">small</span>&gt;</span><span>
<span id="line65"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line66"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line67"></span>        </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line68"></span>        </span><span>&lt;<span class="start-tag">table</span> <span class="attribute-name">cellpadding</span>="<a class="attribute-value">6</a>" <span class="attribute-name">width</span>="<a class="attribute-value">740</a>"&gt;</span><span>
<span id="line69"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line70"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">left</a>"&gt;</span><span>
<span id="line71"></span>              Currently under development:
<span id="line72"></span>              A standalone application version of this Function Graphing Program, written in C language,
<span id="line73"></span>              much faster, essentially more capabilities, e.g. scrolling and zooming the displayed range, built-in function calculator, numerical integration, solving differential equations numerically ... </span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/grapher/grapher_app.htm">grapher_app.htm</a>"&gt;</span><span>free download of WZGrapher</span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span>.</span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span>
<span id="line74"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line75"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line76"></span>        </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line77"></span>        </span><span>&lt;<span class="start-tag">div</span> <span class="attribute-name">id</span>="<a class="attribute-value">inputs</a>" <span class="attribute-name">style</span>="<a class="attribute-value">position:relative;text-align:left;</a>"&gt;</span><span>
<span id="line78"></span>          </span><span>&lt;<span class="start-tag">div</span> <span class="attribute-name">style</span>="<a class="attribute-value">padding-top:8px;padding-right:8px;padding-left:8px;</a>"&gt;</span><span>
<span id="line79"></span>            </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">type</span>="<a class="attribute-value">submit</a>" <span class="attribute-name">class</span>="<a class="attribute-value">bt2</a>" <span class="attribute-name">value</span>="<a class="attribute-value">Plot Graph</a>" <span class="attribute-name">onclick</span>="<a class="attribute-value">if (window.mkGraph) mkGraph(this.form); return false;</a>"&gt;</span><span>
<span id="line80"></span>            </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">name</span>="<a class="attribute-value">Add</a>" <span class="attribute-name">type</span>="<a class="attribute-value">checkbox</a>"&gt;</span><span>don't delete previous graphs<span class="entity"><span>&amp;</span>nbsp;</span>
<span id="line81"></span>            <span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">type</span>="<a class="attribute-value">button</a>" <span class="attribute-name">class</span>="<a class="attribute-value">bt2</a>" <span class="attribute-name">value</span>="<a class="attribute-value">Delete graphs</a>" <span class="attribute-name">onmouseup</span>="<a class="attribute-value">this.form.F.focus()</a>" <span class="attribute-name">onclick</span>="<a class="attribute-value">delGraphs(1)</a>"&gt;</span><span>
<span id="line82"></span>            </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line83"></span>            x min </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">name</span>="<a class="attribute-value">XA</a>" <span class="attribute-name">type</span>="<a class="attribute-value">text</a>" <span class="attribute-name">class</span>="<a class="attribute-value">input</a>" <span class="attribute-name">size</span>="<a class="attribute-value">8</a>" <span class="attribute-name">maxlength</span>="<a class="attribute-value">13</a>" <span class="attribute-name">value</span>="<a class="attribute-value">-5</a>"&gt;</span><span>
<span id="line84"></span>            <span class="entity"><span>&amp;</span>nbsp;</span>x max </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">name</span>="<a class="attribute-value">XZ</a>" <span class="attribute-name">type</span>="<a class="attribute-value">text</a>" <span class="attribute-name">class</span>="<a class="attribute-value">input</a>" <span class="attribute-name">size</span>="<a class="attribute-value">8</a>" <span class="attribute-name">maxlength</span>="<a class="attribute-value">13</a>" <span class="attribute-name">value</span>="<a class="attribute-value">5</a>"&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span>
<span id="line85"></span>            <span class="entity"><span>&amp;</span>nbsp;</span> <span class="entity"><span>&amp;</span>nbsp;</span> <span class="entity"><span>&amp;</span>nbsp;</span> <span class="entity"><span>&amp;</span>nbsp;</span>y min </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">name</span>="<a class="attribute-value">YA</a>" <span class="attribute-name">type</span>="<a class="attribute-value">text</a>" <span class="attribute-name">class</span>="<a class="attribute-value">input</a>" <span class="attribute-name">size</span>="<a class="attribute-value">8</a>" <span class="attribute-name">maxlength</span>="<a class="attribute-value">13</a>" <span class="attribute-name">value</span>="<a class="attribute-value">-5</a>"&gt;</span><span>
<span id="line86"></span>            <span class="entity"><span>&amp;</span>nbsp;</span>y max </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">name</span>="<a class="attribute-value">YZ</a>" <span class="attribute-name">type</span>="<a class="attribute-value">text</a>" <span class="attribute-name">class</span>="<a class="attribute-value">input</a>" <span class="attribute-name">size</span>="<a class="attribute-value">8</a>" <span class="attribute-name">maxlength</span>="<a class="attribute-value">13</a>" <span class="attribute-name">value</span>="<a class="attribute-value">5</a>"&gt;</span><span>
<span id="line87"></span>            </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line88"></span>            </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>Function f(x)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;<span class="start-tag">small</span>&gt;</span><span> (up to 5 functions may be entered simultaneously, separated from each other by a semicolon)</span><span>&lt;/<span class="end-tag">small</span>&gt;</span><span>
<span id="line89"></span>            </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span></span><span>&lt;<span class="start-tag">textarea</span> <span class="attribute-name">name</span>="<a class="attribute-value">F</a>" <span class="attribute-name">class</span>="<a class="attribute-value">input</a>" <span class="attribute-name">cols</span>="<a class="attribute-value">90</a>" <span class="attribute-name">rows</span>="<a class="attribute-value">4</a>"&gt;</span><span>cos(pi*x) / (-LN2*x);
<span id="line90"></span>sqrt(9-x^2);
<span id="line91"></span>-sqrt(9-x^2)
<span id="line92"></span>            </span><span>&lt;/<span class="end-tag">textarea</span>&gt;</span><span>
<span id="line93"></span>          </span><span>&lt;/<span class="end-tag">div</span>&gt;</span><span>
<span id="line94"></span>        </span><span>&lt;/<span class="end-tag">div</span>&gt;</span><span>
<span id="line95"></span>      </span><span>&lt;/<span class="end-tag">div</span>&gt;</span><span>
<span id="line96"></span>      </span><span>&lt;<span class="start-tag">div</span> <span class="attribute-name">id</span>="<a class="attribute-value">graphframe</a>" <span class="attribute-name">style</span>="<a class="attribute-value">position:relative;left:0px;top:0px;</a>"&gt;</span><span>
<span id="line97"></span>        </span><span>&lt;<span class="start-tag">noscript</span>&gt;</span><span></span><span>&lt;</span><span>big&gt;</span><span>&lt;</span><span>b&gt;</span><span>&lt;</span><span>font color="#cc0000"&gt;&amp;nbsp;</span><span>&lt;</span><span>br&gt;JavaScript not enabled. Graph of function can't be created.</span><span>&lt;/<span></span>f</span><span>ont&gt;</span><span>&lt;/<span></span>b</span><span>&gt;</span><span>&lt;/<span></span>b</span><span>ig&gt;</span><span>&lt;/<span class="end-tag">noscript</span>&gt;</span><span>
<span id="line98"></span>        </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>Function Graph Area.
<span id="line99"></span>      </span><span>&lt;/<span class="end-tag">div</span>&gt;</span><span>
<span id="line100"></span>      </span><span>&lt;<span class="start-tag">div</span> <span class="attribute-name">id</span>="<a class="attribute-value">terms</a>" <span class="attribute-name">style</span>="<a class="attribute-value">position:relative;left:0px;top:0px;width:690px;padding:3px;text-align:left;</a>"&gt;</span><span></span><span>&lt;/<span class="end-tag">div</span>&gt;</span><span>
<span id="line101"></span>      </span><span>&lt;<span class="start-tag">div</span> <span class="attribute-name">id</span>="<a class="attribute-value">body2</a>"&gt;</span><span>
<span id="line102"></span>        </span><span>&lt;<span class="start-tag">table</span> <span class="attribute-name">cellpadding</span>="<a class="attribute-value">14</a>"&gt;</span><span>
<span id="line103"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line104"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">left</a>"&gt;</span><span>
<span id="line105"></span>              </span><span>&lt;<span class="start-tag">big</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>Operators and Helper Functions</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">big</span>&gt;</span><span> </span><span>&lt;<span class="start-tag">small</span>&gt;</span><span>upper/lower case is arbitrary</span><span>&lt;/<span class="end-tag">small</span>&gt;</span><span>
<span id="line106"></span>              </span><span>&lt;<span class="start-tag">table</span>&gt;</span><span>
<span id="line107"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line108"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line109"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>+ - * : /</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line110"></span>                    </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line111"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>() [] {}</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line112"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line113"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line114"></span>                    Plus, minus, multiplication, division, grouping symbols.
<span id="line115"></span>                    Multiplication sign </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>*</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> is not necessary and can be omitted. Examples:
<span id="line116"></span>                    </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>0.5x^3-3x</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> or </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>pixeln(2cos[LN2x])</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> or </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>Pipi/(Exe)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line117"></span>                    Using different types of grouping symbols (parentheses, brackets, braces) for clarity of nested expressions is optional, but not necessary.
<span id="line118"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line119"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line120"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line121"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line122"></span>                    </span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>base</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>^</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>exponent</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span>
<span id="line123"></span>                    </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>or</span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line124"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>p(</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>base</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>,</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>exponent</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line125"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line126"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line127"></span>                    Exponentiation base</span><span>&lt;<span class="start-tag">sup</span>&gt;</span><span>exponent</span><span>&lt;/<span class="end-tag">sup</span>&gt;</span><span>, for example </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>p(x,2)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> or </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>x^2</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span>.
<span id="line128"></span>                    Instead of </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>^</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> you can also type a single quote </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>'</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> or a double quote </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span><span class="entity"><span>&amp;</span>quot;</span></span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>.
<span id="line129"></span>                    If you don't use p(), make sure that bases or exponents composed by sub-expressions such as additions, subtractions, multiplications or divisions, are clearly marked off by being completely enclosed into parentheses, brackets or braces.
<span id="line130"></span>                    Example: </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>(x/3)^(2x)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span>.
<span id="line131"></span>                    Instead of </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>x<span class="entity"><span>&amp;</span>quot;</span>3</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>, of course, you can also enter </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>xxx</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>.
<span id="line132"></span>                    Or, instead of </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>tan(x)'2</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> you may type </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>tan(x)tan(x)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>.
<span id="line133"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line134"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line135"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line136"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line137"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>root(</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>arg</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>,</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>index</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line138"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line139"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line140"></span>                    <span class="entity"><span>&amp;</span>quot;</span></span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>index</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span>-th<span class="entity"><span>&amp;</span>quot;</span> root of </span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>argument</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span>.
<span id="line141"></span>                    Example: </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>root(x,6)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> sixth root of x, </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>root[tan(x),4]</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> fourth root of the tangent of x.
<span id="line142"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line143"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line144"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line145"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line146"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>sqrt()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line147"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line148"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line149"></span>                    Square root of argument (number or expression inside the parentheses). Equivalent to root(</span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>argument</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span>,2)
<span id="line150"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line151"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line152"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line153"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line154"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>cbrt()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line155"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line156"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line157"></span>                    Cube root of argument. Equivalent to root(</span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>argument</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span>,3)
<span id="line158"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line159"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line160"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line161"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line162"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>logn(</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>arg</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>,</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>base</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line163"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line164"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line165"></span>                    Logarithm base-</span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>base</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span> of </span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>arg</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span>.
<span id="line166"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line167"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line168"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line169"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line170"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>ln()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line171"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line172"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line173"></span>                    Natural logarithm of argument
<span id="line174"></span>                    (base-E logarithm of argument where E is Euler's constant)
<span id="line175"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line176"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line177"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line178"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line179"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>lg()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line180"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line181"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line182"></span>                    Logarithm base-10 of argument, equivalent to </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>logn(</span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>argument</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span>,10)</span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>.
<span id="line183"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line184"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line185"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line186"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line187"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>lb()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line188"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line189"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line190"></span>                    Logarithm base-2 of argument.
<span id="line191"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line192"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line193"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line194"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line195"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>exp()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line196"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line197"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line198"></span>                    Exponential Function E to the power of argument, equivalent to E^</span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>argument</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span>
<span id="line199"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line200"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line201"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line202"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line203"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>sin()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line204"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line205"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line206"></span>                    Sine of argument
<span id="line207"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line208"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line209"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line210"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line211"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>cos()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line212"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line213"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line214"></span>                    Cosine
<span id="line215"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line216"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line217"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line218"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line219"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>tan()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line220"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line221"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line222"></span>                    Tangent
<span id="line223"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line224"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line225"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line226"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line227"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>cot()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line228"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line229"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line230"></span>                    Cotangent
<span id="line231"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line232"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line233"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line234"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line235"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>sec()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line236"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line237"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line238"></span>                    Secant of argument, equiv. to 1/cos(</span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>arg</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span>).
<span id="line239"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line240"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line241"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line242"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line243"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>csc()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line244"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line245"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line246"></span>                    Cosecant, equiv. to 1/sin(</span><span>&lt;<span class="start-tag">i</span>&gt;</span><span>arg</span><span>&lt;/<span class="end-tag">i</span>&gt;</span><span>).
<span id="line247"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line248"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line249"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line250"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line251"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>asin()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line252"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line253"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line254"></span>                    Arc sine
<span id="line255"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line256"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line257"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line258"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line259"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>acos()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line260"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line261"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line262"></span>                    Arc cosine
<span id="line263"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line264"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line265"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line266"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line267"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>atan()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line268"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line269"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line270"></span>                    Arc tangent
<span id="line271"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line272"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line273"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line274"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line275"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>acot()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line276"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line277"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line278"></span>                    Arc cotangent
<span id="line279"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line280"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line281"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line282"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line283"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>asec()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line284"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line285"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line286"></span>                    Arc secant, inverse secant.
<span id="line287"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line288"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line289"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line290"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line291"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>acsc()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line292"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line293"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line294"></span>                    Arc cosecant, inverse cosecant.
<span id="line295"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line296"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line297"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line298"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line299"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>sinh()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line300"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line301"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line302"></span>                    Hyperbolic sine, Sinus hyperbolicus
<span id="line303"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line304"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line305"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line306"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line307"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>cosh()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line308"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line309"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line310"></span>                    Hyperbolic cosine, Cosinus hyperbolicus
<span id="line311"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line312"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line313"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line314"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line315"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>tanh()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line316"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line317"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line318"></span>                    Hyperbolic tangent, Tangens hyperbolicus
<span id="line319"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line320"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line321"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line322"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line323"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>coth()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line324"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line325"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line326"></span>                    Hyperbolic cotangent, Cotangens hyperbolicus
<span id="line327"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line328"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line329"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line330"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line331"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>sech()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line332"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line333"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line334"></span>                    Hyperbolic secant, Secans hyperbolicus.
<span id="line335"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line336"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line337"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line338"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line339"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>csch()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line340"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line341"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line342"></span>                    Hyperbolic cosecant, Cosecans hyperbolicus.
<span id="line343"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line344"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line345"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line346"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line347"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>asinh()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line348"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line349"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line350"></span>                    Area sine, Area sinus hyperbolicus, inverse sinh().
<span id="line351"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line352"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line353"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line354"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line355"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>acosh()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line356"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line357"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line358"></span>                    Area cosine, Area cosinus hyperbolicus, inverse cosh().
<span id="line359"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line360"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line361"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line362"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line363"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>atanh()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line364"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line365"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line366"></span>                    Area tangent, Area tangens hyperbolicus, inverse tanh().
<span id="line367"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line368"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line369"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line370"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line371"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>acoth()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line372"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line373"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line374"></span>                    Area cotangent, Area cotangens hyperbolicus, inverse cotanh().
<span id="line375"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line376"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line377"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line378"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line379"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>asech()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line380"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line381"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line382"></span>                    Area- secant, Area secans hyperbolicus, inverse sech().
<span id="line383"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line384"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line385"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line386"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line387"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>acsch()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line388"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line389"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line390"></span>                    Area- cosecant, Area cosecans hyperbolicus, inverse csch().
<span id="line391"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line392"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line393"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line394"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line395"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>gaussd(x,</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>mean</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>,</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>sigma</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line396"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line397"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line398"></span>                    Gaussian distribution (<span class="entity"><span>&amp;</span>quot;</span>Bell Curve<span class="entity"><span>&amp;</span>quot;</span>).
<span id="line399"></span>                    </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>gaussd(x,0,1)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>, by the way, is the special case <span class="entity"><span>&amp;</span>quot;</span>Normal distribution density with mean-value=0, standard-deviation=1<span class="entity"><span>&amp;</span>quot;</span>.
<span id="line400"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line401"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line402"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line403"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line404"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>min(</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>arg1</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>,</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>arg2</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line405"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line406"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line407"></span>                    Returns the lesser of the two arguments
<span id="line408"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line409"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line410"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line411"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line412"></span>                    </span><span>&lt;<span class="start-tag">span</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>max(</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>arg1</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>,</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>arg2</span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">span</span>&gt;</span><span>
<span id="line413"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line414"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line415"></span>                    Returns the greater of the two arguments
<span id="line416"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line417"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line418"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line419"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line420"></span>                    </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>round()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line421"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line422"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line423"></span>                    Rounds argument up or down to the closest integer
<span id="line424"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line425"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line426"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line427"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line428"></span>                    </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>floor()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line429"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line430"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line431"></span>                    Rounds arg down.
<span id="line432"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line433"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line434"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line435"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line436"></span>                    </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>ceil()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line437"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line438"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line439"></span>                    Rounds arg up.
<span id="line440"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line441"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line442"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line443"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line444"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>abs()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> or </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>|<span class="entity"><span>&amp;</span>nbsp;</span>|</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line445"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line446"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line447"></span>                    Absolute value of argument.
<span id="line448"></span>                    Example: </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>2abs(sin[x])</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> or alternatively </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>2|sin(x)|</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span>.
<span id="line449"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line450"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line451"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line452"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line453"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>sgn()</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line454"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line455"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line456"></span>                    Sign Function.
<span id="line457"></span>                    </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line458"></span>                    </span><span>&lt;<span class="start-tag">table</span>&gt;</span><span>
<span id="line459"></span>                      </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line460"></span>                        </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">rowspan</span>="<a class="attribute-value">3</a>" <span class="attribute-name">valign</span>="<a class="attribute-value">middle</a>"&gt;</span><span>
<span id="line461"></span>                          </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>sgn(x)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span><span class="entity"><span>&amp;</span>nbsp;</span>=<span class="entity"><span>&amp;</span>nbsp;</span><span class="entity"><span>&amp;</span>nbsp;</span>
<span id="line462"></span>                        </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line463"></span>                        </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span>1 for x <span class="entity"><span>&amp;</span>gt;</span> 0</span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line464"></span>                      </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line465"></span>                      </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line466"></span>                        </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span>0 for x = 0</span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line467"></span>                      </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line468"></span>                      </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line469"></span>                        </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>-1 for x <span class="entity"><span>&amp;</span>lt;</span> 0</span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line470"></span>                      </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line471"></span>                    </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span> 
<span id="line472"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line473"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line474"></span>              </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line475"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line476"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line477"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line478"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">left</a>"&gt;</span><span>
<span id="line479"></span>              </span><span>&lt;<span class="start-tag">big</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>Predefined Constants, Values</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">big</span>&gt;</span><span> </span><span>&lt;<span class="start-tag">small</span>&gt;</span><span>upper/lower case is arbitrary</span><span>&lt;/<span class="end-tag">small</span>&gt;</span><span>
<span id="line480"></span>              </span><span>&lt;<span class="start-tag">table</span>&gt;</span><span>
<span id="line481"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line482"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line483"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>rand</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line484"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line485"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line486"></span>                    Random number between 0 und 1. Example:</span><span>&lt;<span class="start-tag">br</span>&gt;</span><span></span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>pi*rand*sin(x)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> or even </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>Pirandsin(x)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span>.
<span id="line487"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line488"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line489"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line490"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line491"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>E</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line492"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line493"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line494"></span>                    Euler's constant 2.718281828459045...
<span id="line495"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line496"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line497"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line498"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line499"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>LN2</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line500"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line501"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line502"></span>                    Natural logarithm of 2, is 0.6931471805599453...
<span id="line503"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line504"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line505"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line506"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line507"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>LN10</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line508"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line509"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line510"></span>                    Natural logarithm of 10, is 2.302585092994046...
<span id="line511"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line512"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line513"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line514"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line515"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>LOG2E</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line516"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line517"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line518"></span>                    Base-2 logarithm of E (E: see above), is 1.4426950408889633...
<span id="line519"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line520"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line521"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line522"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line523"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>LOG10E</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line524"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line525"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line526"></span>                    Base-10 logarithmus of E, is 0.4342944819032518...
<span id="line527"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line528"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line529"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line530"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line531"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>PHI</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line532"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line533"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line534"></span>                    Golden Ratio 1.61803398874989...
<span id="line535"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line536"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line537"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line538"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line539"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>PI</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line540"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line541"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line542"></span>                    3.141592653589793...
<span id="line543"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line544"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line545"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line546"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line547"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>SQRT1_2</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line548"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line549"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line550"></span>                    Square root of 1/2, is 0.7071067811865476...
<span id="line551"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line552"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line553"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line554"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">valign</span>="<a class="attribute-value">top</a>"&gt;</span><span>
<span id="line555"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>SQRT2</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line556"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line557"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line558"></span>                    Square root of 2, is 1.4142135623730951...
<span id="line559"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line560"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line561"></span>              </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line562"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line563"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line564"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line565"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">left</a>"&gt;</span><span>
<span id="line566"></span>              </span><span>&lt;<span class="start-tag">big</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>Notes</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">big</span>&gt;</span><span>
<span id="line567"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line568"></span>              Enter functions in standard mathematical notation, using x as independent variable.
<span id="line569"></span>              As evident from the examples on this page, arguments to helper functions must be enclosed into parentheses (or braces or brackets).
<span id="line570"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line571"></span>              Grouping symbols such as parentheses, and helper functions may be arbitrarily deeply nested. Examples:</span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line572"></span>              </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>cos[atan(5x)^4]</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> or </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>sqrt{16*[1-sec(x)^2/4]}</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line573"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line574"></span>              The function plotter engine follows the common rules of math. notation and order of operation;
<span id="line575"></span>              for example, expressions inside parentheses have increased precedence, * and / have higher precedence than + and -, etc..
<span id="line576"></span>              In case no grouping symbols are used, </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>2*x-3/x</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> evaluates as if it were </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>(2*x) - (3/x)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>.
<span id="line577"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line578"></span>              Since horizontal fraction lines aren't available to clearly mark off fraction expressions composed by sub-expressions, is is recommended to insert numerator and denominator each completely into parentheses (or brackets or braces).
<span id="line579"></span>              For example, type in </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>pi-(5-x)/(3x)*acoth(x)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> instead of </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>pi-5-x/3x*acoth(x)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span> which otherwise would evaluate to </span><span>&lt;<span class="start-tag">b</span> <span class="attribute-name">style</span>="<a class="attribute-value">white-space:nowrap;</a>"&gt;</span><span>pi-5-(x/3)*x*acoth(x)</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>.
<span id="line580"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line581"></span>              Upper and lower case may be arbitrarily used and mixed, even for predefined constants.
<span id="line582"></span>              Spaces may be used for clarity as you wish, but neither help nor harm; the program engine ignores them.
<span id="line583"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line584"></span>              Range of x (x<span class="entity"><span>&amp;</span>nbsp;</span>min to x<span class="entity"><span>&amp;</span>nbsp;</span>max) should not extend beyond minus 10</span><span>&lt;<span class="start-tag">sup</span>&gt;</span><span>12</span><span>&lt;/<span class="end-tag">sup</span>&gt;</span><span> and plus 10</span><span>&lt;<span class="start-tag">sup</span>&gt;</span><span>12</span><span>&lt;/<span class="end-tag">sup</span>&gt;</span><span>.
<span id="line585"></span>              Range of y (y<span class="entity"><span>&amp;</span>nbsp;</span>min to y<span class="entity"><span>&amp;</span>nbsp;</span>max) is optional; if not specified, the function-grapher engine tries to evaluate it for the specified x range.
<span id="line586"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line587"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line588"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line589"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line590"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">left</a>"&gt;</span><span>
<span id="line591"></span>              </span><span>&lt;<span class="start-tag">big</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>Multiple Functions at Once</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">big</span>&gt;</span><span>
<span id="line592"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line593"></span>              You may enter up to 5 functions simultaneously, each terminated by a semicolon.
<span id="line594"></span>              Of course building the diagram then will take more time, possibly several seconds.
<span id="line595"></span>              Example (you may copy it into the function input):</span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line596"></span>              </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>
<span id="line597"></span>                sqrt[16*(1-x<span class="entity"><span>&amp;</span>sup2;</span>/2)];</span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line598"></span>                -sqrt[16*(1-x<span class="entity"><span>&amp;</span>sup2;</span>/2)];</span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line599"></span>                sqrt[2*(1-x<span class="entity"><span>&amp;</span>sup2;</span>/16)];</span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line600"></span>                -sqrt[2*(1-x<span class="entity"><span>&amp;</span>sup2;</span>/16)]
<span id="line601"></span>              </span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line602"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line603"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line604"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line605"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">left</a>"&gt;</span><span>
<span id="line606"></span>              </span><span>&lt;<span class="start-tag">big</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span></span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>Create Fourier Series</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">big</span>&gt;</span><span>
<span id="line607"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line608"></span>              </span><span>&lt;<span class="start-tag">table</span> <span class="attribute-name">cellpadding</span>="<a class="attribute-value">5</a>"&gt;</span><span>
<span id="line609"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line610"></span>                  </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">left</a>" <span class="attribute-name">bgcolor</span>="<a class="attribute-value">#eeeeee</a>"&gt;</span><span>
<span id="line611"></span>                    </span><span>&lt;<span class="start-tag">small</span>&gt;</span><span>
<span id="line612"></span>                    The Fourier Series will be written into the lightblue area below.
<span id="line613"></span>                    </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line614"></span>                    You may copy it from there, and enter it into the input of the Function Grapher
<span id="line615"></span>                    </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">small</span>&gt;</span><span>
<span id="line616"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>n:</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line617"></span>                    from </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">name</span>="<a class="attribute-value">FOU_NA</a>" <span class="attribute-name">type</span>="<a class="attribute-value">text</a>" <span class="attribute-name">size</span>="<a class="attribute-value">4</a>" <span class="attribute-name">value</span>="<a class="attribute-value">1</a>"&gt;</span><span>
<span id="line618"></span>                    to </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">name</span>="<a class="attribute-value">FOU_NZ</a>" <span class="attribute-name">type</span>="<a class="attribute-value">text</a>" <span class="attribute-name">size</span>="<a class="attribute-value">4</a>" <span class="attribute-name">maxlength</span>="<a class="attribute-value">4</a>" <span class="attribute-name">value</span>="<a class="attribute-value">10</a>"&gt;</span><span>
<span id="line619"></span>                    step width </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">name</span>="<a class="attribute-value">FOU_DN</a>" <span class="attribute-name">type</span>="<a class="attribute-value">text</a>" <span class="attribute-name">size</span>="<a class="attribute-value">4</a>" <span class="attribute-name">value</span>="<a class="attribute-value">1</a>"&gt;</span><span>
<span id="line620"></span>                    </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line621"></span>                    Single terms:
<span id="line622"></span>                    Add</span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">type</span>="<a class="attribute-value">radio</a>" <span class="attribute-name">name</span>="<a class="attribute-value">FOU_SGN</a>" <span class="attribute-name">checked</span>&gt;</span><span>
<span id="line623"></span>                    subtract</span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">type</span>="<a class="attribute-value">radio</a>" <span class="attribute-name">name</span>="<a class="attribute-value">FOU_SGN</a>"&gt;</span><span>
<span id="line624"></span>                    or alternate, beginning with plus</span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">type</span>="<a class="attribute-value">radio</a>" <span class="attribute-name">name</span>="<a class="attribute-value">FOU_SGN</a>"&gt;</span><span>
<span id="line625"></span>                    minus</span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">type</span>="<a class="attribute-value">radio</a>" <span class="attribute-name">name</span>="<a class="attribute-value">FOU_SGN</a>" <span class="attribute-name">checked</span>&gt;</span><span>
<span id="line626"></span>                    </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line627"></span>                    </span><span>&lt;<span class="start-tag">b</span>&gt;</span><span>Single term:</span><span>&lt;/<span class="end-tag">b</span>&gt;</span><span>
<span id="line628"></span>                    </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">name</span>="<a class="attribute-value">FOU_TERM</a>" <span class="attribute-name">type</span>="<a class="attribute-value">text</a>" <span class="attribute-name">size</span>="<a class="attribute-value">44</a>" <span class="attribute-name">value</span>="<a class="attribute-value">0.9^n * cos(n*x)/2</a>"&gt;</span><span>
<span id="line629"></span>                    </span><span>&lt;<span class="start-tag">input</span> <span class="attribute-name">class</span>="<a class="attribute-value">bt2</a>" <span class="attribute-name">type</span>="<a class="attribute-value">button</a>" <span class="attribute-name">value</span>="<a class="attribute-value">Create Fourier Series</a>" <span class="attribute-name">onclick</span>="<a class="attribute-value">mkFourier(this.form)</a>"&gt;</span><span>
<span id="line630"></span>                    </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line631"></span>                    </span><span>&lt;<span class="start-tag">textarea</span> <span class="attribute-name">name</span>="<a class="attribute-value">FOU_OUT</a>" <span class="attribute-name">cols</span>="<a class="attribute-value">82</a>" <span class="attribute-name">rows</span>="<a class="attribute-value">20</a>" <span class="attribute-name">style</span>="<a class="attribute-value">background:#d3e6ff;</a>"&gt;</span><span></span><span>&lt;/<span class="end-tag">textarea</span>&gt;</span><span>
<span id="line632"></span>                  </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line633"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line634"></span>              </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line635"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line636"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line637"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line638"></span>            </span><span>&lt;<span class="start-tag">td</span> <span class="attribute-name">align</span>="<a class="attribute-value">center</a>"&gt;</span><span>
<span id="line639"></span>              </span><span>&lt;<span class="start-tag">table</span> <span class="attribute-name">cellpadding</span>="<a class="attribute-value">40</a>"&gt;</span><span>
<span id="line640"></span>                </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line641"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span></span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/grapher/grapher_e.htm#top">#top</a>"&gt;</span><span></span><span>&lt;<span class="start-tag">img</span> <span class="attribute-name">border</span>="<a class="attribute-value">0</a>" <span class="attribute-name">src</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/images/topOfPage.gif">../images/topOfPage.gif</a>" <span class="attribute-name">alt</span>="<a class="attribute-value">Seitenanfang</a>" <span class="attribute-name">width</span>="<a class="attribute-value">21</a>" <span class="attribute-name">height</span>="<a class="attribute-value">20</a>"&gt;</span><span></span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line642"></span>                  </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span></span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/index.htm">../index.htm</a>" <span class="attribute-name">target</span>="<a class="attribute-value">_top</a>"&gt;</span><span>Home</span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line643"></span>                </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line644"></span>              </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line645"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line646"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line647"></span>        </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line648"></span>        </span><span>&lt;<span class="start-tag">hr</span> <span class="attribute-name">width</span>="<a class="attribute-value">95%</a>" <span class="attribute-name">size</span>="<a class="attribute-value">1</a>" <span class="attribute-name">noshade</span>&gt;</span><span>
<span id="line649"></span>        </span><span>&lt;<span class="start-tag">table</span> <span class="attribute-name">width</span>="<a class="attribute-value">740</a>"&gt;</span><span>
<span id="line650"></span>          </span><span>&lt;<span class="start-tag">tr</span>&gt;</span><span>
<span id="line651"></span>            </span><span>&lt;<span class="start-tag">td</span>&gt;</span><span>
<span id="line652"></span>              </span><span>&lt;<span class="start-tag">small</span>&gt;</span><span>Walter Zorn
<span id="line653"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span></span><span>&lt;<span class="start-tag">a</span> <span class="attribute-name">href</span>="<a class="attribute-value" href="view-source:http://www.kreuzotter.de/impressum.htm">http://www.kreuzotter.de/impressum.htm</a>"&gt;</span><span>Impressum and about this page</span><span>&lt;/<span class="end-tag">a</span>&gt;</span><span></span><span>&lt;/<span class="end-tag">small</span>&gt;</span><span>
<span id="line654"></span>              </span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line655"></span>              <span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span><span class="entity"><span>&amp;</span>nbsp;</span></span><span>&lt;<span class="start-tag">br</span>&gt;</span><span>
<span id="line656"></span>            </span><span>&lt;/<span class="end-tag">td</span>&gt;</span><span>
<span id="line657"></span>          </span><span>&lt;/<span class="end-tag">tr</span>&gt;</span><span>
<span id="line658"></span>        </span><span>&lt;/<span class="end-tag">table</span>&gt;</span><span>
<span id="line659"></span>      </span><span>&lt;/<span class="end-tag">div</span>&gt;</span><span>
<span id="line660"></span>    </span><span>&lt;/<span class="end-tag">center</span>&gt;</span><span>
<span id="line661"></span>  </span><span>&lt;/<span class="end-tag">form</span>&gt;</span><span>
<span id="line662"></span></span><span>&lt;<span class="start-tag">script</span> <span class="attribute-name">type</span>="<a class="attribute-value">text/javascript</a>"&gt;</span><span>
<span id="line663"></span></span><span>&lt;!</span><span>--
<span id="line664"></span>var G_LANG = "E";
<span id="line665"></span>//--&gt;
<span id="line666"></span></span><span>&lt;/<span class="end-tag">script</span>&gt;</span><span>
<span id="line667"></span></span><span>&lt;<span class="start-tag">script</span> <span class="attribute-name">type</span>="<a class="attribute-value">text/javascript</a>" <span class="attribute-name">src</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/scripts/wz_grapher.js">../scripts/wz_grapher.js</a>"&gt;</span><span></span><span>&lt;/<span class="end-tag">script</span>&gt;</span><span>
<span id="line668"></span></span><span>&lt;<span class="start-tag">script</span> <span class="attribute-name">type</span>="<a class="attribute-value">text/javascript</a>" <span class="attribute-name">src</span>="<a class="attribute-value" href="view-source:http://www.walterzorn.de/en/scripts/wz_grapherstr.js">../scripts/wz_grapherstr.js</a>"&gt;</span><span></span><span>&lt;/<span class="end-tag">script</span>&gt;</span><span>
<span id="line669"></span></span><span>&lt;/<span class="end-tag">body</span>&gt;</span><span>
<span id="line670"></span></span><span>&lt;/<span class="end-tag">html</span>&gt;</span><span>
<span id="line671"></span>
<span id="line672"></span></span></pre></body></html>
//


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17.Aug.2010, Martin Wengenmayer