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Keywords </span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Operators</h2> <div id="operators-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a & b</strong></span> <span class="search-explanation" role="cell" role="cell">logical and</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>a | b</strong></span> <span class="search-explanation" role="cell" role="cell">logical or</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>!ab</strong></span> <span class="search-explanation" role="cell" role="cell">logical not</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>abc*</strong></span> <span class="search-explanation" role="cell" role="cell">right wildcard</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>ab c</strong></span> <span class="search-explanation" role="cell" role="cell">phrase</span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"><strong>(ab c)</strong></span> <span class="search-explanation" role="cell" role="cell">parentheses</span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> </div><div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="software"> <div class="content-main"> <article> <div class="head"> <h2>ML</h2> </div> <div class="text"> <table> <tr> <td>swMATH ID:</td> <td> 20907 </td> </tr> <tr> <td>Software Authors:</td> <td> <div class="author"><a href="/authors/garrappa.roberto" title="Author Profile">Garrappa, R.</a></div> </td> </tr> <tr> <td>Description:</td> <td>Numerical evaluation of two and three parameter Mittag-Leffler functions. The Mittag-Leffler function plays a fundamental role in fractional calculus. In the present paper, a method is introduced for the efficient computation of the Mittag-Leffler function based on the numerical inversion of its Laplace transform. The approach taken is to consider separate regions in which the Laplace transform is analytic and to look for the contour and discretization parameters allowing one to achieve a given accuracy. The optimal parabolic contour algorithm selects the region in which the numerical inversion of the Laplace transform is actually performed by choosing the one in which both the computational effort and the errors are minimized. Numerical experiments are presented to show accuracy and efficiency of the proposed approach. An application to the three parameter Mittag-Leffler function is also presented.</td> </tr> <tr> <td>Homepage:</td> <td> <a href="http://www.mathworks.com/matlabcentral/fileexchange/48154-the-mittag-leffler-function">http://www.mathworks.com/matlabcentral/fileexchange/48154-the-mittag-leffler-function</a> </td> </tr> <tr> <td>Dependencies:</td> <td>Matlab</td> </tr> <tr> <td>Related Software:</td> <td> <a href="/software/558">Matlab</a>; <a href="/software/12626">Mittag-Leffler</a>; <a href="/software/23743">mftoolbox</a>; <a href="/software/18400">mlf</a>; <a href="/software/4968">DLMF</a>; <a href="/software/20917">DFOC</a>; <a href="/software/20918">ma2dfc</a>; <a href="/software/4827">mctoolbox</a>; <a href="/software/20908">mlrnd</a>; <a href="/software/11216">longmemo</a>; <a href="/software/8377">FODE</a>; <a href="/software/23170">GitHub</a>; <a href="/software/24209">FracPECE</a>; <a href="/software/19507">FOTF Toolbox</a>; <a href="/software/12185">Ninteger</a>; <a href="/software/7382">CRONE</a>; <a href="/software/20916">sysdfod</a>; <a href="/software/14460">Python</a>; <a href="/software/14520">LIMbook</a>; <a href="/software/554">Mathematica</a> </td> </tr> <tr class="indexed"> <td>Cited in:</td> <td> <a href="/?q=si%3A20907">159 Documents</a> </td> </tr> </table> </div> <div class="profile"> <div class="standard_articles publications"> <h3 style="margin-bottom: 0"> Standard Articles </h3> <table> <thead> <tr> <th> <strong> 1 Publication describing the Software, including <a href="/?q=an%3A6440855">1 Publication in zbMATH </a></strong> </th> <th> Year </th> </tr> </thead> <tbody> <tr> <td> <a class="black" href="/1331.33043">Numerical evaluation of two and three parameter Mittag-Leffler functions.</a> <a class="label" href="/1331.33043">Zbl 1331.33043</a><br><a href="/authors/garrappa.roberto" title="Author Profile">Garrappa, Roberto</a> </td> <td> <div class="citation_year">2015</div> </td> </tr> </tbody> </table> </div> <div 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Series S </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+se%3A7632" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7632" title="Serial Profile"> Caspian Journal of Mathematical Sciences </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+se%3A8329" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8329" title="Serial Profile"> Journal of Statistical Distributions and Applications </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+se%3A8354" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8354" title="Serial Profile"> Journal of Function Spaces </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+se%3A8502" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8502" title="Serial Profile"> Computational Methods for Differential Equations </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+se%3A8510" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8510" title="Serial Profile"> Modern Stochastics. Theory and Applications </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+se%3A8526" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8526" title="Serial Profile"> International Journal of Applied and Computational Mathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+se%3A8537" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8537" title="Serial Profile"> International Journal of Systems Science. Principles and Applications of Systems and Integration </a> </td></tr> </table> </div> <div class="facet3rd"><a tabindex="0" class="more">all <i class="caret"></i></a> <a tabindex="0" class="less">top 5 <i class="caret"></i></a><h3>Cited in 35 Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=si%3A20907+cc%3A65" title="Citing Publications in this Field">74</a> </td> <td class="text"> <a href="/classification/?q=cc%3A65" title="Mathematics Subject Classification"> Numerical analysis <span style="white-space: nowrap;">(65-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A20907+cc%3A26" title="Citing Publications in this Field">55</a> </td> <td class="text"> <a href="/classification/?q=cc%3A26" title="Mathematics Subject Classification"> Real functions <span style="white-space: nowrap;">(26-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A20907+cc%3A33" title="Citing Publications in this Field">52</a> </td> <td class="text"> <a href="/classification/?q=cc%3A33" title="Mathematics Subject Classification"> Special functions <span style="white-space: nowrap;">(33-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A20907+cc%3A35" title="Citing Publications in this Field">46</a> </td> <td class="text"> <a href="/classification/?q=cc%3A35" title="Mathematics Subject Classification"> Partial differential equations <span style="white-space: nowrap;">(35-XX)</span> </a> </td></tr><tr> <td class="number"> <a href="/?q=si%3A20907+cc%3A34" title="Citing Publications in this Field">43</a> </td> <td class="text"> <a href="/classification/?q=cc%3A34" title="Mathematics Subject Classification"> Ordinary differential equations <span style="white-space: nowrap;">(34-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A60" title="Citing Publications in this Field">21</a> </td> <td class="text"> <a href="/classification/?q=cc%3A60" title="Mathematics Subject Classification"> Probability theory and stochastic processes <span style="white-space: nowrap;">(60-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A44" title="Citing Publications in this Field">11</a> </td> <td class="text"> <a href="/classification/?q=cc%3A44" title="Mathematics Subject Classification"> Integral transforms, operational calculus <span style="white-space: nowrap;">(44-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A45" title="Citing Publications in this Field">10</a> </td> <td class="text"> <a href="/classification/?q=cc%3A45" title="Mathematics Subject Classification"> Integral equations <span style="white-space: nowrap;">(45-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A74" title="Citing Publications in this Field">9</a> </td> <td class="text"> <a href="/classification/?q=cc%3A74" title="Mathematics Subject Classification"> Mechanics of deformable solids <span style="white-space: nowrap;">(74-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A41" title="Citing Publications in this Field">8</a> </td> <td class="text"> <a href="/classification/?q=cc%3A41" title="Mathematics Subject Classification"> Approximations and expansions <span style="white-space: nowrap;">(41-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A82" title="Citing Publications in this Field">7</a> </td> <td class="text"> <a href="/classification/?q=cc%3A82" title="Mathematics Subject Classification"> Statistical mechanics, structure of matter <span style="white-space: nowrap;">(82-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A78" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A78" title="Mathematics Subject Classification"> Optics, electromagnetic theory <span style="white-space: nowrap;">(78-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A92" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A92" title="Mathematics Subject Classification"> Biology and other natural sciences <span style="white-space: nowrap;">(92-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A93" title="Citing Publications in this Field">6</a> </td> <td class="text"> <a href="/classification/?q=cc%3A93" title="Mathematics Subject Classification"> Systems theory; control <span style="white-space: nowrap;">(93-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A62" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A62" title="Mathematics Subject Classification"> Statistics <span style="white-space: nowrap;">(62-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A76" title="Citing Publications in this Field">5</a> </td> <td class="text"> <a href="/classification/?q=cc%3A76" title="Mathematics Subject Classification"> Fluid mechanics <span style="white-space: nowrap;">(76-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A15" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A15" title="Mathematics Subject Classification"> Linear and multilinear algebra; matrix theory <span style="white-space: nowrap;">(15-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A47" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A47" title="Mathematics Subject Classification"> Operator theory <span style="white-space: nowrap;">(47-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A49" title="Citing Publications in this Field">4</a> </td> <td class="text"> <a href="/classification/?q=cc%3A49" title="Mathematics Subject Classification"> Calculus of variations and optimal control; optimization <span style="white-space: nowrap;">(49-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A30" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A30" title="Mathematics Subject Classification"> Functions of a complex variable <span style="white-space: nowrap;">(30-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A37" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A37" title="Mathematics Subject Classification"> Dynamical systems and ergodic theory <span style="white-space: nowrap;">(37-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A91" title="Citing Publications in this Field">3</a> </td> <td class="text"> <a href="/classification/?q=cc%3A91" title="Mathematics Subject Classification"> Game theory, economics, finance, and other social and behavioral sciences <span style="white-space: nowrap;">(91-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A68" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A68" title="Mathematics Subject Classification"> Computer science <span style="white-space: nowrap;">(68-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A70" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A70" title="Mathematics Subject Classification"> Mechanics of particles and systems <span style="white-space: nowrap;">(70-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A80" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A80" title="Mathematics Subject Classification"> Classical thermodynamics, heat transfer <span style="white-space: nowrap;">(80-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A86" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A86" title="Mathematics Subject Classification"> Geophysics <span style="white-space: nowrap;">(86-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A94" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A94" title="Mathematics Subject Classification"> Information and communication theory, circuits <span style="white-space: nowrap;">(94-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A01" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A01" title="Mathematics Subject Classification"> History and biography <span style="white-space: nowrap;">(01-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A05" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A05" title="Mathematics Subject Classification"> Combinatorics <span style="white-space: nowrap;">(05-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A28" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A28" title="Mathematics Subject Classification"> Measure and integration <span style="white-space: nowrap;">(28-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A31" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A31" title="Mathematics Subject Classification"> Potential theory <span style="white-space: nowrap;">(31-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A32" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A32" title="Mathematics Subject Classification"> Several complex variables and analytic spaces <span style="white-space: nowrap;">(32-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A39" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A39" title="Mathematics Subject Classification"> Difference and functional equations <span style="white-space: nowrap;">(39-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A40" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A40" title="Mathematics Subject Classification"> Sequences, series, summability <span style="white-space: nowrap;">(40-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A20907+cc%3A42" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A42" title="Mathematics Subject Classification"> Harmonic analysis on Euclidean spaces <span style="white-space: nowrap;">(42-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Citations by Year</h3> <div class="diagram si-diagram" aria-label="citing publications by year"></div> <style> rect:hover { fill: steelblue; } .axis path, .axis line { fill: none; stroke: #000; shape-rendering: crispEdges; } .bar { fill: steelblue; } a:hover .bar, a:focus .bar { stroke: black; fill-opacity: 60%; } </style> <script src="/static/js/d3.v3.min.js"></script> <script> var margin = { top: 20, right: 0, bottom: 30, left: 50 }; var width = 930 - margin.left - margin.right; var height = 150 - margin.top - margin.bottom; var svg = d3.selectAll(".si-diagram").append("svg") .attr("width", width + margin.left + margin.right) .attr("height", height + margin.top + margin.bottom) .append("g") .attr("transform", "translate(" + margin.left + "," + margin.top + ")"); var data = [{ year:2015, frequency:3 },{ year:2016, frequency:7 },{ year:2017, frequency:12 },{ year:2018, frequency:20 },{ year:2019, frequency:16 },{ year:2020, frequency:24 },{ year:2021, frequency:15 },{ year:2022, frequency:20 },{ year:2023, frequency:18 },{ year:2024, frequency:21 },{ year:2025, frequency:3 }]; data.forEach(function(d) { d.year = +d.year; d.frequency = +d.frequency; }); var xScale = d3.scale.ordinal() .rangeRoundBands([0, width], .1); var yScale = d3.scale.linear() .range([height, 0]); // fill if less than 20 years span var zero = d3.max( [ 20 - ( d3.max( data, d => d.year ) + 1 - d3.min( data, d => d.year ) ), 0 ] ); // generate range from min to max xScale.domain( d3.range( d3.min( data, d => d.year ), d3.max( data, d => d.year ) + 1 + zero ) ); yScale.domain( [ 0, d3.max( data, d => d.frequency ) ] ); var xAxis = d3.svg.axis() .scale(xScale) .tickValues( // show ticks every 5 years for range up to 50 years, every 10 // years up to 100 years, and every 20 years above that xScale.domain().filter( function(d, i) { let ticks; if (xScale.domain().length <= 50) { ticks = 5; } else if (xScale.domain().length <= 100) { ticks = 10; } else { ticks = 20; } return !(d % ticks); } ) ) .tickSize(6,3,0) // removes end tick .orient("bottom"); var yAxis = d3.svg.axis() .scale(yScale) .ticks(3) // number of ticks .tickFormat(d3.format("d")) // only integers .tickSize(6,3,0) // removes end tick .orient("left"); svg.selectAll(".bar") .data(data) .enter() .append("a") .attr( "xlink:href", d => "/?q=si%3A20907+py%3A" + d.year ) .attr( "title", d => d.frequency + " Publication" + (d.frequency > 1 ? "s" : "") + " in " + d.year ) .append("rect") .attr("class", "bar") .attr("x", d => xScale(d.year)) .attr("width", xScale.rangeBand()) .attr("y", d => yScale(d.frequency)) .attr("height", d => height - yScale(d.frequency)); svg.append("g") .attr("class", "x axis") .attr("transform", "translate(0," + height + ")") .call(xAxis); svg.append("g") .attr("class", "y axis") .call(yAxis) .append("text") .attr("transform", "rotate(-90)") .attr("y", 6) .attr("dy", ".75em") .style("text-anchor", "end") .text(""); </script> </div> </div> </article> </div> </div> <div class="clearfix"></div> </div> </div> <div id="foot"><div class="copyright"> © 2025 <a target="fiz" href="https://www.fiz-karlsruhe.de/en">FIZ Karlsruhe GmbH</a> <a href="/privacy-policy/">Privacy Policy</a> <a href="/legal-notices/">Legal Notices</a> <a href="/terms-conditions/">Terms & Conditions</a> <div class="info"> <ul class="nav"> <li class="mastodon"> <a href="https://mathstodon.xyz/@zbMATH" target="_blank" class="no-new-tab-icon"> <img src="/static/mastodon.png" title="zbMATH at Mathstodon (opens in new tab)" alt="Mastodon logo"> </a> </li> </ul> </div> </div> <div class="clearfix" style="height: 0px;"></div> </div> </div> <script src="https://static.zbmath.org/contrib/jquery/1.9.1/jquery.min.js"></script> <script src="https://static.zbmath.org/contrib/jquery-caret/1.5.2/jquery.caret.min.js"></script> <script src="/static/js/jquery-ui-1.10.1.custom.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap/v3.3.7zb1/js/bootstrap.min.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-lightbox/v0.7.0/bootstrap-lightbox.min.js"></script> <script src="https://static.zbmath.org/contrib/retina/unknown/retina.js"></script> <script src="https://static.zbmath.org/contrib/bootstrap-select/v1.13.14/js/bootstrap-select.min.js"></script> <script> var SCRIPT_ROOT = ""; </script> <script src="/static/scripts.js?v=20240926"> </script> <script src="https://static.zbmath.org/contrib/mathjax/2.7.1/MathJax.js?config=TeX-AMS-MML_HTMLorMML"></script> <script type="text/x-mathjax-config"> MathJax.Hub.Config({ "HTML-CSS": { preferredFont: "TeX", availableFonts: [ "STIX", "TeX" ], linebreaks: { automatic: true }, EqnChunk: (MathJax.Hub.Browser.isMobile ? 10 : 50) }, tex2jax: { processEscapes: true, ignoreClass: "tex2jax_ignore|dno" }, TeX: { Macros: { Aut: "\\operatorname{Aut}", Hom: "\\operatorname{Hom}" }, noUndefined: { attributes: { mathcolor: "#039", //"red", mathbackground: "white", //"#FFEEEE", mathsize: "90%" } } }, messageStyle: "none" }); </script> <script type="text/javascript"> $(document).ready(function() { $("#MathInput").stop(true, true).keyup(function() { $.ajax({ url: "/mwsq/", type: "POST", data: { query : $("#MathInput").val() }, dataType: "text" }) .done(function(xml) { $("#MathPreview").html(xml); $(window).resize(); }); }); var press = jQuery.Event("keyup"); press.ctrlKey = false; press.which = 40; $("#MathInput").trigger(press); }); </script> <div id="new_tab_icon" style="display: none"> <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></div> </body> </html>

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