Software Search - zbMATH Open

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software" 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">ab:</span><span>  </span>description</a></li> <li><a href="#"><span class="token item">au:</span><span>  </span>author</a></li> <li><a href="#"><span class="token item">cc:</span><span>  </span>msc</a></li> <li><a href="#"><span class="token item">pl:</span><span>  </span>programming language</a></li> 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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="/software/?q=sw%3ASage%2A">sw:Sage*</a></span> <span class="search-explanation" role="cell" role="cell">Search for a specific <strong>s</strong>oft<strong>w</strong>are package containing the sequence <em>Sage</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=ab%3Ageometry+%26+ut%3AORMS">ab:geometry & ut:ORMS</a></span> <span class="search-explanation" role="cell" role="cell">Search for software packages with the word <em>geometry</em> in the description(<strong>ab</strong>), and which have the keyword(<strong>ut</strong>) <em>ORMS</em> ( Oberwolfach Registry of Mathematical Software).The operator <strong>&</strong> is the default and may be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=cc%3A13+%7C+14">cc:13 | 14</a></span> <span class="search-explanation" role="cell" role="cell">Search for software packages which are cited(<strong>cc</strong>) by articles belonging to the <strong><u>c</u>lassification <u>c</u>ode</strong> sections <em>13</em> and <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=GAP+au%3AEick">GAP au:Eick</a></span> <span class="search-explanation" role="cell" role="cell">Search for <em>GAP</em> in the <strong>any</strong> index (which also includes dependencies) and by software <strong><u>au</u>thor</strong> containing the sequence <em>Eick</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/software/?q=pl%3AJava+%26+ab%3AR">pl:Java & ab:R</a></span> <span class="search-explanation" role="cell" role="cell">Search for software package in the <strong><u>p</u>rogramming <u>l</u>anguage</strong> Java whose description text(<strong>ab</strong>) contains <em>R</em></span> </div> </div> <h2>Fields</h2> <div id="help-fields" role="table"> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ab</strong> </span> <span class="search-explanation" role="cell" role="cell"> Text from the description </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"> Name(s) of the author(s) </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 software (given by first two MSC digits) </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>pl</strong> </span> <span class="search-explanation" role="cell" role="cell"> Programming language the software is written in </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>si</strong> </span> <span class="search-explanation" role="cell" role="cell"> swMATH software ID </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>sw</strong> </span> <span class="search-explanation" role="cell" role="cell"> Software name </span> </div> <div class="help-item" role="row"> <span class="search-fields" role="rowheader"> <strong>ut</strong> </span> <span class="search-explanation" role="cell" role="cell"> 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>DiffSharp</h2> </div> <div class="text"> <table> <tr> <td>swMATH ID:</td> <td> 16033 </td> </tr> <tr> <td>Software Authors:</td> <td> <div class="author"><a href="/authors/baydin.atilim-gunes" title="Author Profile">Baydin, A. G.</a>; <a href="/authors/pearlmutter.barak-a" title="Author Profile">Pearlmutter, B. A.</a></div> </td> </tr> <tr> <td>Description:</td> <td>DiffSharp: Automatic differentiation library. DiffSharp is a functional automatic differentiation (AD) library. AD allows exact and efficient calculation of derivatives, by systematically invoking the chain rule of calculus at the elementary operator level during program execution. AD is different from numerical differentiation, which is prone to truncation and round-off errors, and symbolic differentiation, which is affected by expression swell and cannot fully handle algorithmic control flow. Using the DiffSharp library, differentiation (gradients, Hessians, Jacobians, directional derivatives, and matrix-free Hessian- and Jacobian-vector products) is applied using higher-order functions, that is, functions which take other functions as arguments. Your functions can use the full expressive capability of the language including control flow. DiffSharp allows composition of differentiation using nested forward and reverse AD up to any level, meaning that you can compute exact higher-order derivatives or differentiate functions that are internally making use of differentiation. Please see the API Overview page for a list of available operations. The library is developed by At谋l谋m G眉ne艧 Baydin and Barak A. Pearlmutter mainly for research applications in machine learning, as part of their work at the Brain and Computation Lab, Hamilton Institute, National University of Ireland Maynooth. DiffSharp is implemented in the F# language and can be used from C# and the other languages running on Mono, .NET Core, or the .Net Framework, targeting the 64 bit platform. It is tested on Linux and Windows. We are working on interfaces/ports to other languages.</td> </tr> <tr> <td>Homepage:</td> <td> <a href="http://diffsharp.github.io/DiffSharp/">http://diffsharp.github.io/DiffSharp/</a> </td> </tr> <tr> <td>Related Software:</td> <td> <a href="/software/22205">Adam</a>; <a href="/software/15170">TensorFlow</a>; <a href="/software/32456">DeepXDE</a>; <a href="/software/20939">PyTorch</a>; <a href="/software/39282">DGM</a>; <a href="/software/46078">hp-VPINNs</a>; <a href="/software/3229">L-BFGS</a>; <a href="/software/42093">DeepONet</a>; <a href="/software/42058">PINNsNTK</a>; <a href="/software/43568">XPINNs</a>; <a href="/software/42059">NSFnets</a>; <a href="/software/40570">FPINNs</a>; <a href="/software/23170">GitHub</a>; <a href="/software/21105">ImageNet</a>; <a href="/software/38522">AlexNet</a>; <a href="/software/5142">LBFGS-B</a>; <a href="/software/44440">PhyGeoNet</a>; <a href="/software/44195">PPINN</a>; <a href="/software/32996">JAX</a>; <a 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Series B </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A1757" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1757" title="Serial Profile"> Celestial Mechanics and Dynamical Astronomy </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A1799" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1799" title="Serial Profile"> Journal of Mathematical Imaging and Vision </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A1800" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1800" title="Serial Profile"> International Journal of Bifurcation and Chaos in Applied Sciences and Engineering </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A1805" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1805" title="Serial Profile"> Journal of Nonlinear Science </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A1831" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A1831" title="Serial Profile"> Computational Optimization and Applications </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A2038" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A2038" title="Serial Profile"> Advances in Applied Clifford Algebras </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A2063" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A2063" title="Serial Profile"> ETNA. 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ADAC </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A4920" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A4920" title="Serial Profile"> Optimization Letters </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A4965" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A4965" title="Serial Profile"> Journal of Physics A: Mathematical and Theoretical </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A4972" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A4972" title="Serial Profile"> Networks and Heterogeneous Media </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A5003" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A5003" title="Serial Profile"> Logical Methods in Computer Science </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A7042" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7042" title="Serial Profile"> Journal of Computational and Graphical Statistics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A7398" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7398" title="Serial Profile"> Journal of Mathematics in Industry </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A7652" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7652" title="Serial Profile"> Journal of Applied Analysis and Computation </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A7870" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A7870" title="Serial Profile"> Communications in Mathematics and Statistics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A8085" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8085" title="Serial Profile"> East Asian Journal on Applied Mathematics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A8474" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8474" title="Serial Profile"> Research in the Mathematical Sciences </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A8616" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8616" title="Serial Profile"> AMM. Applied Mathematics and Mechanics. (English Edition) </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A8625" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A8625" title="Serial Profile"> European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A9259" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A9259" title="Serial Profile"> Computational and Mathematical Biophysics </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A9600" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A9600" title="Serial Profile"> Communications on Applied Mathematics and Computation </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+se%3A10120" title="Citing Publications in this Serial">1</a> </td> <td class="text"> <a href="/serials/?q=se%3A10120" title="Serial Profile"> Stat </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 28 Fields</h3> <table class="profile"> <tr> <td class="number"> <a href="/?q=si%3A16033+cc%3A68" title="Citing Publications in this Field">198</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> <td class="number"> <a href="/?q=si%3A16033+cc%3A65" title="Citing Publications in this Field">179</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%3A16033+cc%3A35" title="Citing Publications in this Field">83</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%3A16033+cc%3A74" title="Citing Publications in this Field">50</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> <td class="number"> <a href="/?q=si%3A16033+cc%3A76" title="Citing Publications in this Field">44</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%3A16033+cc%3A62" title="Citing Publications in this Field">33</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%3A16033+cc%3A90" title="Citing Publications in this Field">20</a> </td> <td class="text"> <a href="/classification/?q=cc%3A90" title="Mathematics Subject Classification"> Operations research, mathematical programming <span style="white-space: nowrap;">(90-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+cc%3A92" title="Citing Publications in this Field">20</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%3A16033+cc%3A60" title="Citing Publications in this Field">14</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%3A16033+cc%3A37" title="Citing Publications in this Field">12</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%3A16033+cc%3A49" title="Citing Publications in this Field">12</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%3A16033+cc%3A81" title="Citing Publications in this Field">10</a> </td> <td class="text"> <a href="/classification/?q=cc%3A81" title="Mathematics Subject Classification"> Quantum theory <span style="white-space: nowrap;">(81-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+cc%3A93" title="Citing Publications in this Field">10</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%3A16033+cc%3A34" title="Citing Publications in this Field">8</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%3A16033+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%3A16033+cc%3A15" title="Citing Publications in this Field">5</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%3A16033+cc%3A70" title="Citing Publications in this Field">5</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%3A16033+cc%3A91" title="Citing Publications in this Field">5</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%3A16033+cc%3A78" title="Citing Publications in this Field">4</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%3A16033+cc%3A86" title="Citing Publications in this Field">4</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%3A16033+cc%3A03" title="Citing Publications in this Field">2</a> </td> <td class="text"> <a href="/classification/?q=cc%3A03" title="Mathematics Subject Classification"> Mathematical logic and foundations <span style="white-space: nowrap;">(03-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+cc%3A05" title="Citing Publications in this Field">2</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%3A16033+cc%3A26" title="Citing Publications in this Field">2</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 class="more"> <td class="number"> <a href="/?q=si%3A16033+cc%3A00" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A00" title="Mathematics Subject Classification"> General and overarching topics; collections <span style="white-space: nowrap;">(00-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+cc%3A41" title="Citing Publications in this Field">1</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%3A16033+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><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+cc%3A53" title="Citing Publications in this Field">1</a> </td> <td class="text"> <a href="/classification/?q=cc%3A53" title="Mathematics Subject Classification"> Differential geometry <span style="white-space: nowrap;">(53-XX)</span> </a> </td></tr><tr class="more"> <td class="number"> <a href="/?q=si%3A16033+cc%3A94" title="Citing Publications in this Field">1</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> </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:2016, frequency:3 },{ year:2017, frequency:3 },{ year:2018, frequency:3 },{ year:2019, frequency:8 },{ year:2020, frequency:20 },{ year:2021, frequency:42 },{ year:2022, frequency:67 },{ year:2023, frequency:92 },{ year:2024, frequency:84 },{ 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%3A16033+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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