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Martin Balluch - Author Profile - zbMATH Open
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type="text" name="q" value="ai:balluch.martin" aria-label="Search for authors" placeholder="Search for authors" autocomplete="off"> </div> <div class="search-buttons input-group-btn"> <div class="btn-group"> <button class="btn btn-default search" type="submit"><span class="virtual">Search</span> <span class="glyphicon glyphicon-search" style="top: 2px;"></span></button> </div> </div> </span> <span> <div class="search-buttons input-group-btn"> <div class="btn-group"> <div class="btn-group fields"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Fields <i class="caret"></i></button> <ul id="fields" class="dropdown-menu pull-right"> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere (default)</a></li> <li><a href="#"><span class="token item">ai:</span><span> </span>author code</a></li> <li><a href="#"><span class="token item">au:</span><span> </span>author name</a></li> <li><a href="#"><span class="token item">any:</span><span> </span>anywhere</a></li> <li><a href="#"><span class="token item">aw:</span><span> </span>award</a></li> <li><a href="#"><span class="token item">cc:</span><span> </span>main field</a></li> <li><a href="#"><span class="token item">cm:</span><span> </span>collectives of</a></li> <li><a href="#"><span class="token item">co:</span><span> </span>in collective</a></li> <li><a href="#"><span class="token item">en:</span><span> </span>external id type</a></li> <li><a href="#"><span class="token item">fn:</span><span> </span>first name</a></li> <li><a href="#"><span class="token item">ln:</span><span> </span>last name</a></li> <li><a href="#"><span class="token item">py:</span><span> </span>publication year</a></li> <li><a href="#"><span class="token item">rv:</span><span> </span>reviewer</a></li> <li><a href="#"><span class="token item">st:</span><span> </span>state</a></li> </ul> </div> <div class="btn-group operators"> <button class="btn btn-default dropdown-toggle" data-toggle="dropdown">Operators <i class="caret"></i></button> <ul id="operators" class="dropdown-menu pull-right"> <li><a href="#"><span class="token">a <span class="item">&</span> b </span><span> </span>logical and (default)</a></li> <li><a href="#"><span class="token">a <span class="item">|</span> b </span><span> </span>logical or</a></li> <li><a href="#"><span class="token"><span class="item">!</span>ab </span><span> </span>logical not</a></li> <li><a href="#"><span class="token">abc<span class="item">*</span> </span><span> </span>right wildcard</a></li> <li><a href="#"><span class="token"><span class="item">"</span>ab c<span class="item">"</span></span><span> </span>phrase</a></li> <li><a href="#"><span class="token"><span class="item">(</span>ab c<span class="item">)</span></span><span> </span>parentheses</a></li> </ul> </div> </div> </div> <div class="special"> <ul class="nav help-button"> <li class="dropdown pull-right"> <a href="#">Help <i class="caret"></i></a> </li> </ul> </div> </span> </div> <div class="help"><h2>Examples</h2> <div id="help-terms" role="table"> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Simon+Donald%2A">Simon Donald*</a></span> <span class="search-explanation" role="cell" role="cell">Search in <strong>all parts</strong> of an author's name (results contain <em>Simon, Donald</em> M. and <em>Donald</em>son, <em>Simon</em> Kirwan).</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=ln%3A+Donald%2A+fn%3A+Simon">ln: Donald* fn: Simon</a></span> <span class="search-explanation" role="cell" role="cell">Search for specified family (<strong>ln</strong>) and given (<strong>fn</strong>) name.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Stefan+M%C3%BCller+cc%3A49">au: Stefan Müller cc:49</a></span> <span class="search-explanation" role="cell" role="cell">Combine name search (<strong>au</strong>) with main MSC fields (<strong>cc</strong>).</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=au%3A+Helga+Bunke">au: Helga Bunke</a></span> <span class="search-explanation" role="cell" role="cell">Search results include <strong>name variations</strong>, in particular <strong>name changes</strong>, different <strong>transliterations</strong> and <strong>pseudonyms</strong>. Names of collectives will be displayed as a separate entity.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%28st%3Ar+%26+b%29+%7C+%28st%3Ao%29">(st:r & b) | (st:o)</a></span> <span class="search-explanation" role="cell" role="cell">Search results include all <strong><u>r</u>eviewers</strong> with <strong><u>b</u>iographic information</strong> or <strong>c<u>o</u>llectives</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%28en%3AMGP+%7C+wikidata%29+ln%3Aa%2A">(en:MGP | wikidata) ln:a*</a></span> <span class="search-explanation" role="cell" role="cell">Search results include all authors having either an <strong><u>en</u>try</strong> in the <em>Math Genealogy</em> Project or in <em>Wikidata</em> and whose family name starts with <em>A</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=aw%3A+Fields+Abel">aw: Fields Abel</a></span> <span class="search-explanation" role="cell" role="cell">Search for all <em>Fields Medal</em> <strong><u>aw</u>ard winners</strong> who also received an <em>Abel Prize</em>. The <strong>&</strong> operator is default and ommitted here.</span> </div> </div> <p style="margin-bottom:0.5cm;"></p> <h2>Fields</h2> <div id="help-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ai</strong> </span> <span class="search-explanation" role="cell" role="cell"> zbMATH author ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>au</strong> </span> <span class="search-explanation" role="cell" role="cell"> Author name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>any</strong> </span> <span class="search-explanation" role="cell" role="cell"> Includes ai, au, aw, cc </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>aw</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of an award (to find laureates) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cc</strong> </span> <span class="search-explanation" role="cell" role="cell"> Main Fields of the author (given by first two MSC digits) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>cm</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of a collective (to find members of this collective) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>co</strong> </span> <span class="search-explanation" role="cell" role="cell"> Name of an author (to find collectives the author is a member of) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>en</strong> </span> <span class="search-explanation" role="cell" role="cell"> External author ID: ORCID, MGP, Wikidata object number and others </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>fn</strong> </span> <span class="search-explanation" role="cell" role="cell"> First name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ln</strong> </span> <span class="search-explanation" role="cell" role="cell"> Last name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>py</strong> </span> <span class="search-explanation" role="cell" role="cell"> Year(s) in which the author has published. Interval search with “-” </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>rv</strong> </span> <span class="search-explanation" role="cell" role="cell"> Reviewer ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>st</strong> </span> <span class="search-explanation" role="cell" role="cell"> State: has biographic references (<em>st:b</em>), is cited (<em>st:c</em>), is collective (st:o), has references (<em>st:r</em>) </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> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <form class="form-inline" name="authors" method="get" action="/authors/"> <div class="authors structured" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"><span tabindex="0" class="glyphicon glyphicon-question-sign" title="One-Line Search allows for free logical combinations of search fields" aria-label="One-Line Search allows for free logical combinations of search fields" data-placement="bottom"></span> <a style="display: inline-block;" href="#">One-Line Search <span class="glyphicon glyphicon-search"></span></a></li> </ul> </div> <div class="clearfix"></div> <div class="container-fluid two-columns"> <div class="row"> <div class="col-xs-12 col-sm-6"> <div class="form-group field ln"> <label for="ln">Family Name:</label> <input id="ln" name="ln" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field fn"> <label for="fn">Given Name:</label> <input id="fn" name="fn" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field cc"> <label for="cc">Main Fields:</label> <input id="cc" name="cc" class="form-control" type="text" value="" placeholder=""> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="field given by first two MSC digits" aria-label="field given by first two MSC digits"></span> </div> <div class="form-group field st checkboxes-wrapper"> <label>Status:</label> <div class="checkboxes"> <input type="checkbox" id="st-z" name="st" class="form-control" value="z"> <label for="st-z" title="restrict to Authors who are zbMATH Reviewers"> Reviewer</label><br> <input type="checkbox" id="st-b" name="st" class="form-control" value="b"> <label for="st-b" title="restrict to Authors having Biographic References"> Biographic References</label><br> </div> </div> </div> <div class="col-xs-12 col-sm-6"> <div class="form-group field ai"> <label for="ai">zbMATH Author ID:</label> <input id="ai" name="ai" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field en"> <label for="en">External ID:</label> <input id="en" name="en" class="form-control" type="text" value="" placeholder=""> <span tabindex="0" class="glyphicon glyphicon-question-sign" title="e.g. ORCID, MGP, …" aria-label="e.g. ORCID, MGP, ..."></span> </div> <div class="form-group field any"> <label for="any">Anywhere:</label> <input id="any" name="any" class="form-control" type="text" value="" placeholder=""> </div> <div class="form-group field aw"> <label for="aw">Awards:</label> <select id="aw" name="aw" class="form-control"> <option value=""></option> <option value="Abel Prize">Abel Prize</option> <option value="Breakthrough Prize in Mathematics">Breakthrough Prize in Mathematics</option> <option value="Carl Friedrich Gauss Prize">Carl Friedrich Gauss Prize</option> <option value="Chern Medal">Chern Medal</option> <option value="Clay Research Award">Clay Research Award</option> <option value="EMS Prize">EMS Prize</option> <option value="Fields Medal">Fields Medal</option> <option value="Kyoto Prize in Basic Sciences">Kyoto Prize in Basic Sciences</option> <option value="Nevanlinna Prize">Nevanlinna Prize</option> <option value="Nobel Memorial Prize in Economic Sciences">Nobel Memorial Prize in Economic Sciences</option> <option value="Nobel Prize in Physics">Nobel Prize in Physics</option> <option value="Shaw Prize">Shaw Prize</option> <option value="Turing Award">Turing Award</option> <option value="Wolf Prize">Wolf Prize</option> </select> </div> </div> </div> </div> <div class="clearfix"></div> <div class="container-fluid"> <div class="row buttons"> <div class="col-xs-6"> <a tabindex="0" class="btn btn-default clear-all">Clear all <span class="glyphicon glyphicon-remove"></span></a> </div> <div class="col-xs-12 col-sm-6"> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> <div class="clearfix"></div> </div> </form> <div class="clear"></div> </div><div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="authors"> <div class="content-main"> <article> <div class="head"> <div class="pull-right"> <a class="btn btn-default matrix edit-profile" type="button" href="/author-profile/edit/balluch.martin" target="_blank">Edit Profile <span class="glyphicon glyphicon-new-window" aria-hidden="true"></span><span class="sr-only">(opens in new tab)</span></a> </div> <h2>Balluch, Martin</h2> </div> <div class="text" style="max-width: 80%;"> <table> <tr> <td>Author ID:</td> <td>balluch.martin <a target="_blank" href="/atom/ai/balluch.martin"><img class="feed-icon" alt="Recent zbMATH articles by "Balluch, Martin"" src="/static/feed-icon-14x14.png"></a></td> </tr><tr> <td>Published as:</td> <td><span>Balluch, Martin</span></td> </tr> <tr> <td>External Links:</td> <td> <a href="https://www.wikidata.org/wiki/Q113479" title="Q113479" style="white-space: nowrap;">Wikidata</a> · <a href="http://d-nb.info/gnd/130338338" title="130338338" style="white-space: nowrap;">GND</a> </td> </tr> </table> </div> <div class="indexed"> <table> <tr> <td>Documents Indexed:</td> <td> <a href="/?q=ia%3Aballuch.martin">1 Publication</a> since 1995 </td> </tr> </table> </div> <div class="profile"> <div class="facet1st"><h3>Co-Authors</h3> <table class="profile"> <tr class="single_authored"> <td class="number"> <a href="/?q=ai%3Aballuch.martin+na%3A1" title="Single-Authored Publications">1</a> </td> <td class="text">single-authored</td> </tr> </table> </div> <div class="facet2nd"><h3>Serials</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ai%3Aballuch.martin+se%3A65" title="Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A65" title="Serial Profile"> Computer Physics Communications </a> </td></tr> </table> </div> <div class="facet3rd"><h3>Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ai%3Aballuch.martin+cc%3A76" title="Publications in this Field">1</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> </table> </div> <div class="diagram svg-diagram"> <h3>Publications by Year</h3> <div class="diagram ai-diagram" aria-label="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(".ai-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:1995, frequency:1 }]; 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=ai%3Aballuch.martin+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> <div class="publications sort_by_ci hide_more"><h3>Citations contained in zbMATH Open</h3> <table> <thead> <tr> <th> <strong>1 Publication has been cited 1 time in <a href="/?q=ra%3Aballuch.martin">1 Document</a> </strong> </th> <th> <a tabindex="0" class="sort_cited">Cited by<span class="pub_ci"> ▼</span></a> </th> <th> <a tabindex="0" class="sort_year">Year<span class="pub_py"> ▼</span></a> </th> </tr> </thead> <tbody> <tr class="pub_ci"> <td> <a class="black" href="/0923.76201">Adaptive numerical advection. The coordinate transformation equation method.</a> <a class="label nowrap" href="/0923.76201">Zbl 0923.76201</a> <br><a href="/authors/balluch.martin" title="Author Profile">Balluch, Martin</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1113806">1</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> <tr class="pub_py"> <td> <a class="black" href="/0923.76201">Adaptive numerical advection. The coordinate transformation equation method.</a> <a class="label nowrap" href="/0923.76201">Zbl 0923.76201</a> <br><a href="/authors/balluch.martin" title="Author Profile">Balluch, Martin</a></td> <td> <div class="citation_count"> <a href="/?q=rf%3A1113806">1</a> </div> </td> <td> <div class="citation_year">1995</div> </td> </tr> </tbody> </table></div> <div class="profile"> <div class="facet1st"><h3>Cited by 1 Author</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Aballuch.martin+ai%3Adorfi.ernst-a" title="Citing Publications by this Author">1</a> </td> <td class="text"> <a href="/authors/dorfi.ernst-a" title="Author Profile"> Dorfi, Ernst A. </a> </td></tr> </table> </div> <div class="facet2nd"><h3>Cited in 1 Serial</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Aballuch.martin+se%3A482" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A482" title="Serial Profile"> Journal of Computational and Applied Mathematics </a> </td></tr> </table> </div> <div class="facet3rd"><h3>Cited in 3 Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=ra%3Aballuch.martin+cc%3A76" title="Citing Publications in this Field">1</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> <td class="number"> <a href="/?q=ra%3Aballuch.martin+cc%3A78" title="Citing Publications in this Field">1</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> <td class="number"> <a href="/?q=ra%3Aballuch.martin+cc%3A85" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A85" title="Mathematics Subject Classification"> Astronomy and astrophysics <span style="white-space: nowrap;">(85-XX)</span> </a> </td></tr> </table> </div> <div class="diagram svg-diagram"> <h3>Citations by Year</h3> <div class="diagram ci-diagram" aria-label="citations 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> 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(".ci-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:1999, frequency:1 }]; 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=ra%3Aballuch.martin+py%3A" + d.year ) .attr( "title", d => d.frequency + " Citation" + (d.frequency > 1 ? 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