Document Search Results

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class="form-control multi-line-field multi-line-selectpicker" name="ml-0-f" aria-label="field"> <option data-type="input" value="any" selected>Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> 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name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-sw" placeholder="use * to find all documents using software"> <input name="ml-0-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value" id="multi-line-type-input-br" placeholder="find documents about the life or work of a person"> <span class="multi-line-value" id="multi-line-type-multiselect-db"> <select class="multi-line-selectpicker" data-width="100%" multiple> <option value="zbl">Zbl</option> <option value="arxiv">arXiv</option> <option value="jfm">JFM</option> <option value="eram">ERAM</option> </select> <input type="hidden" class="multi-line-input" name="ml-0-v" value=""> </span> </div> <form name="documents" method="GET" action="/" autocomplete="off"> <div class="documents multi-line" style="display: none;"> <div class="forms"> <ul class="nav forms"> <li class="one-line"> <span tabindex="0" 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value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-1-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-1-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-2"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-2-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au" selected>Authors</option> <option data-type="input" value="ti">Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-2-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><select class="form-control multi-line-operators multi-line-selectpicker" name="ml-2-op" aria-label="operator"> <option value="and" selected>AND</option> <option value="andnot">AND NOT</option> <option value="or">OR</option> </select></div> </div> <div class="row ml-3"> <div class="col-xs-12 form-inline multi-line"> <select class="form-control multi-line-field multi-line-selectpicker" name="ml-3-f" aria-label="field"> <option data-type="input" value="any">Anywhere</option> <option data-type="input" value="au">Authors</option> <option data-type="input" value="ti" selected>Title</option> <option data-type="input" value="py">Year</option> <option data-type="range" value="pyr">Year Range</option> <option data-type="input" value="cc">MSC</option> <option data-type="input" value="cc1">MSC Primary</option> <option data-type="input" value="so">Source / Journal</option> <option data-type="input" value="pu">Publisher</option> <option data-type="input" value="la">Language</option> <option data-type="input" value="ab">Summary / Review</option> <option data-type="input" value="rv">Reviewer</option> <option data-type="input" value="an">zbMATH ID</option> <option data-type="input" value="en">External ID</option> <option data-type="input" value="ut">Keywords</option> <option data-type="input" value="sw">Software</option> <option data-type="input" value="br">Biographic Ref</option> <option data-type="input" value="rft">Reference Text</option> <option data-type="multiselect-db" value="db">Database</option> <option data-divider="true"></option> <option data-function="remove-line" data-content='<span class="glyphicon glyphicon-minus" aria-hidden="true"></span> remove line' value="any">remove line</option> </select><input name="ml-3-v" class="form-control multi-line-value multi-line-input" type="text" value="" aria-label="value"><div id="multi-line-plus"> <a href="#"><span class="glyphicon glyphicon-plus" aria-hidden="true"></span> add line</a> </div></div> </div> </div> <div class="row"> <div class="col-xs-12 form-inline"> <div class="form-group field checkboxes-wrapper" id="checkboxes-wrapper-test" style="visibility: hidden; position: fixed;"> <label>Document Type:</label> <div class="checkboxes"> <div class="slider"> <label title="search for Articles in Journals"> <input type="checkbox" class="form-control" value="j" checked> <span tabindex="0"><small></small></span> Journal Articles </label> </div> <div class="slider"> <label title="search for Articles in Conference Proceedings and Collected Volumes"> <input type="checkbox" class="form-control" value="a" checked> <span tabindex="0"><small></small></span> Collection Articles </label> </div> <div class="slider"> <label title="search for Monographs, Proceedings, Dissertations etc."> <input type="checkbox" class="form-control" value="b" checked> <span tabindex="0"><small></small></span> Books </label> </div> <div class="slider"> <label title="search for arXiv Preprints"> <input type="checkbox" class="form-control" value="p" 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class="slider"> <label for="dt-p" title="search for arXiv Preprints"> <input type="checkbox" id="dt-p" name="dt" class="form-control" value="p" checked> <span tabindex="0"><small></small></span> arXiv Preprints </label> </div> </div> </div> </div> </div> <div class="row"> <div class="col-xs-12 buttons"> <a tabindex="0" class="btn btn-default clear-all">Reset all <span class="glyphicon glyphicon-remove"></span></a> <div class="submit"> <button class="btn btn-default search" type="submit">Search <span class="glyphicon glyphicon-search"></span></button> </div> </div> </div> </div> </div> </form> <form class="form-inline" name="documents" method="GET" action="/"> <div class="documents one-line" style="display: block;"> <div class="forms"> <ul class="nav forms"> <li class="multi-line"><a href="#">New Multi-Line Search <span class="glyphicon glyphicon-list"></span></a></li> </ul> </div> <div id="search-row" class="input-group box"> <span> <div id="search-field"> <input class="query form-control" type="text" name="q" value="rj:706 cc:42 cc:41" aria-label="Search for documents" placeholder="Search for documents" 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>review text</a></li> <li><a href="#"><span class="token item">an:</span><span>  </span>zbmath id</a></li> <li><a href="#"><span class="token item">any:</span><span>  </span>anywhere</a></li> <li><a href="#"><span class="token item">au:</span><span>  </span>contributor name</a></li> <li><a href="#"><span class="token item">br:</span><span>  </span>biographic reference name</a></li> <li><a href="#"><span class="token item">cc:</span><span>  </span>msc title</a></li> <li><a href="#"><span class="token item">dt:</span><span>  </span>document type</a></li> <li><a href="#"><span class="token item">doi:</span><span>  </span>doi</a></li> <li><a href="#"><span class="token item">en:</span><span>  </span>external id</a></li> <li><a href="#"><span class="token item">la:</span><span>  </span>language</a></li> <li><a href="#"><span class="token item">pu:</span><span>  </span>publisher</a></li> <li><a href="#"><span class="token item">py:</span><span>  </span>year</a></li> <li><a href="#"><span class="token item">rv:</span><span>  </span>reviewer name</a></li> <li><a href="#"><span class="token item">so:</span><span>  </span>source</a></li> <li><a href="#"><span class="token item">sw:</span><span>  </span>software name</a></li> <li><a href="#"><span class="token item">ti:</span><span>  </span>title</a></li> <li><a href="#"><span class="token item">ut:</span><span>  </span>keyword</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=Geometry">Geometry</a></span> <span class="search-explanation" role="cell" role="cell">Search for the term <em>Geometry</em> in <strong>any</strong> field. 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<a href="/authors/li.shifeng" title="Author Profile">Li, Shifeng</a>; <a href="/authors/zhang.pingwen" title="Author Profile">Zhang, Pingwen</a></div> <h3 class="title"> <a href="/8008464"><strong>On the approximation of quasiperiodic functions with Diophantine frequencies by periodic functions.</strong></a> <i>(English)</i> <a class="label nowrap" href="/8008464">Zbl 08008464</a> </h3> <div class="source"> <a href="/serials/1638" title="Journal Profile">SIAM J. Math. Anal.</a> <a href="/?q=in%3A522436" title="Articles in this Issue">57, No. 1, 951-978 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A42A75" title="Classical almost periodic functions, mean periodic functions">42A75</a> <a class="mono" href="/classification/?q=cc%3A42A10" title="Trigonometric approximation">42A10</a> <a class="mono" href="/classification/?q=cc%3A41A99" title="Approximations and expansions">41A99</a> <a class="mono" href="/classification/?q=cc%3A65T40" title="Numerical methods for trigonometric approximation and interpolation">65T40</a> <a class="mono" href="/classification/?q=cc%3A68W40" title="Analysis of algorithms">68W40</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 08008464" data-ciurl="/ci/08008464" data-biburl="/bibtex/08008464.bib" data-amsurl="/amsrefs/08008464.bib" data-xmlurl="/xml/08008464.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/08008464.pdf" title="Zbl 08008464 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/24M165925X" aria-label="DOI for “On the approximation of quasiperiodic functions with Diophantine frequencies by periodic functions”" title="10.1137/24M165925X">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2304.04334"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7968250" value="7968250" aria-label="mark item Zbl 07968250"></div> <div class="author"><a href="/authors/becker.lars" title="Author Profile">Becker, Lars</a>; <a href="/authors/klein.ohad" title="Author Profile">Klein, Ohad</a>; <a href="/authors/slote.joseph" title="Author Profile">Slote, Joseph</a>; <a href="/authors/volberg.alexander-l" title="Author Profile">Volberg, Alexander</a>; <a href="/authors/zhang.haonan" title="Author Profile">Zhang, Haonan</a></div> <h3 class="title"> <a href="/7968250"><strong>Dimension-free discretizations of the uniform norm by small product sets.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7968250">Zbl 07968250</a> </h3> <div class="source"> <a href="/serials/465" title="Journal Profile">Invent. Math.</a> <a href="/?q=in%3A522640" title="Articles in this Issue">239, No. 2, 469-503 (2025)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A41A17" title="Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities)">41A17</a> <a class="mono" href="/classification/?q=cc%3A41A63" title="Multidimensional problems">41A63</a> <a class="mono" href="/classification/?q=cc%3A42B05" title="Fourier series and coefficients in several variables">42B05</a> <a class="mono" href="/classification/?q=cc%3A32A08" title="Polynomials and rational functions of several complex variables">32A08</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07968250" data-ciurl="/ci/07968250" data-biburl="/bibtex/07968250.bib" data-amsurl="/amsrefs/07968250.bib" data-xmlurl="/xml/07968250.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07968250.pdf" title="Zbl 07968250 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00222-024-01306-9" aria-label="DOI for “Dimension-free discretizations of the uniform norm by small product sets”" title="10.1007/s00222-024-01306-9">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2310.07926"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7781586" value="7781586" aria-label="mark item Zbl 1530.65054"></div> <div class="author"><a href="/authors/dai.feng" title="Author Profile">Dai, F.</a>; <a href="/authors/temlyakov.vladimir-n" title="Author Profile">Temlyakov, V.</a></div> <h3 class="title"> <a href="/1530.65054"><strong>Universal sampling discretization.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1530.65054">Zbl 1530.65054</a> </h3> <div class="source"> <a href="/serials/1091" title="Journal Profile">Constr. Approx.</a> <a href="/?q=in%3A506410" title="Articles in this Issue">58, No. 3, 589-613 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65J05" title="General theory of numerical analysis in abstract spaces">65J05</a> <a class="mono" href="/classification/?q=cc%3A41A46" title="Approximation by arbitrary nonlinear expressions; widths and entropy">41A46</a> <a class="mono" href="/classification/?q=cc%3A41A63" title="Multidimensional problems">41A63</a> <a class="mono" href="/classification/?q=cc%3A42A05" title="Trigonometric polynomials, inequalities, extremal problems">42A05</a> <a class="mono" href="/classification/?q=cc%3A65D30" title="Numerical integration">65D30</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1530.65054" data-ciurl="/ci/07781586" data-biburl="/bibtex/07781586.bib" data-amsurl="/amsrefs/07781586.bib" data-xmlurl="/xml/07781586.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07781586.pdf" title="Zbl 1530.65054 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s00365-023-09644-2" aria-label="DOI for “Universal sampling discretization”" title="10.1007/s00365-023-09644-2">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2107.11476"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7681446" value="7681446" aria-label="mark item Zbl 1528.41010"></div> <div class="author"><a href="/authors/bartel.felix" title="Author Profile">Bartel, Felix</a>; <a href="/authors/?q=ai%3Aschafer.martin.2%7Cschafer.martin.1" title="Author Profile">Schäfer, Martin</a>; <a href="/authors/ullrich.tino" title="Author Profile">Ullrich, Tino</a></div> <h3 class="title"> <a href="/1528.41010"><strong>Constructive subsampling of finite frames with applications in optimal function recovery.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1528.41010">Zbl 1528.41010</a> </h3> <div class="source"> <a href="/serials/1932" title="Journal Profile">Appl. Comput. Harmon. Anal.</a> <a href="/?q=in%3A496109" title="Articles in this Issue">65, 209-248 (2023)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A19210">Kateryna Pozharska (Kyjiw)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A41A10" title="Approximation by polynomials">41A10</a> <a class="mono" href="/classification/?q=cc%3A41A25" title="Rate of convergence, degree of approximation">41A25</a> <a class="mono" href="/classification/?q=cc%3A41A60" title="Asymptotic approximations, asymptotic expansions (steepest descent, etc.)">41A60</a> <a class="mono" href="/classification/?q=cc%3A41A63" title="Multidimensional problems">41A63</a> <a class="mono" href="/classification/?q=cc%3A42A10" title="Trigonometric approximation">42A10</a> <a class="mono" href="/classification/?q=cc%3A68Q25" title="Analysis of algorithms and problem complexity">68Q25</a> <a class="mono" href="/classification/?q=cc%3A68W40" title="Analysis of algorithms">68W40</a> <a class="mono" href="/classification/?q=cc%3A94A20" title="Sampling theory in information and communication theory">94A20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1528.41010" data-ciurl="/ci/07681446" data-biburl="/bibtex/07681446.bib" data-amsurl="/amsrefs/07681446.bib" data-xmlurl="/xml/07681446.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07681446.pdf" title="Zbl 1528.41010 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.acha.2023.02.004" aria-label="DOI for “Constructive subsampling of finite frames with applications in optimal function recovery”" title="10.1016/j.acha.2023.02.004">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2202.12625"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7644397" value="7644397" aria-label="mark item Zbl 07644397"></div> <div class="author"><a href="/authors/derevianko.nadiia" title="Author Profile">Derevianko, Nadiia</a>; <a href="/authors/plonka.gerlind" title="Author Profile">Plonka, Gerlind</a>; <a href="/authors/razavi.raha" title="Author Profile">Razavi, Raha</a></div> <h3 class="title"> <a href="/7644397"><strong>ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application.</strong></a> <i>(English)</i> <a class="label nowrap" href="/7644397">Zbl 07644397</a> </h3> <div class="source"> <a href="/serials/1417" title="Journal Profile">Numer. Algorithms</a> <a href="/?q=in%3A491809" title="Articles in this Issue">92, No. 1, 437-470 (2023)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65-XX" title="Numerical analysis">65-XX</a> <a class="mono" href="/classification/?q=cc%3A41A20" title="Approximation by rational functions">41A20</a> <a class="mono" href="/classification/?q=cc%3A42A16" title="Fourier coefficients, Fourier series of functions with special properties, special Fourier series">42A16</a> <a class="mono" href="/classification/?q=cc%3A42C15" title="General harmonic expansions, frames">42C15</a> <a class="mono" href="/classification/?q=cc%3A65D15" title="Algorithms for approximation of functions">65D15</a> <a class="mono" href="/classification/?q=cc%3A94A12" title="Signal theory (characterization, reconstruction, filtering, etc.)">94A12</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07644397" data-ciurl="/ci/07644397" data-biburl="/bibtex/07644397.bib" data-amsurl="/amsrefs/07644397.bib" data-xmlurl="/xml/07644397.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07644397.pdf" title="Zbl 07644397 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1007/s11075-022-01432-6" aria-label="DOI for “ESPRIT versus ESPIRA for reconstruction of short cosine sums and its application”" title="10.1007/s11075-022-01432-6">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2204.03312"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" title="Open Access License" class="cc-license-link no-new-tab-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/cc.svg" alt="Creative Commons CC license icon" class="cc-license-icon"> <img src="https://static.zbmath.org/contrib/img/cc/svg/icons/by.svg" alt="Creative Commons BY license icon" class="cc-license-icon"> </a> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7367913" value="7367913" aria-label="mark item Zbl 1469.41013"></div> <div class="author"><a href="/authors/dai.feng" title="Author Profile">Dai, F.</a>; <a href="/authors/prymak.andriy-v" title="Author Profile">Prymak, A.</a>; <a href="/authors/?q=ai%3Ashadrin.artemiy-a%7Cshadrin.alexei%7Cshadrin.a-v" title="Author Profile">Shadrin, A.</a>; <a href="/authors/temlyakov.vladimir-n" title="Author Profile">Temlyakov, V.</a>; <a href="/authors/tikhonov.sergey-yu" title="Author Profile">Tikhonov, S.</a></div> <h3 class="title"> <a href="/1469.41013"><strong>Entropy numbers and Marcinkiewicz-type discretization.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1469.41013">Zbl 1469.41013</a> </h3> <div class="source"> <a href="/serials/492" title="Journal Profile">J. Funct. Anal.</a> <a href="/?q=in%3A466088" title="Articles in this Issue">281, No. 6, Article ID 109090, 25 p. (2021)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10003">Martin D. Buhmann (Gießen)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A41A63" title="Multidimensional problems">41A63</a> <a class="mono" href="/classification/?q=cc%3A41A46" title="Approximation by arbitrary nonlinear expressions; widths and entropy">41A46</a> <a class="mono" href="/classification/?q=cc%3A42B10" title="Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type">42B10</a> <a class="mono" href="/classification/?q=cc%3A46B20" title="Geometry and structure of normed linear spaces">46B20</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1469.41013" data-ciurl="/ci/07367913" data-biburl="/bibtex/07367913.bib" data-amsurl="/amsrefs/07367913.bib" data-xmlurl="/xml/07367913.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07367913.pdf" title="Zbl 1469.41013 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.jfa.2021.109090" aria-label="DOI for “Entropy numbers and Marcinkiewicz-type discretization”" title="10.1016/j.jfa.2021.109090">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/2001.10636"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item7179262" value="7179262" aria-label="mark item Zbl 07179262"></div> <div class="author"><a href="/authors/dai.feng" title="Author Profile">Dai, F.</a>; <a href="/authors/prymak.andriy-v" title="Author Profile">Prymak, A.</a>; <a href="/authors/temlyakov.vladimir-n" title="Author Profile">Temlyakov, V. N.</a>; <a href="/authors/tikhonov.sergey-yu" title="Author Profile">Tikhonov, S. Yu.</a></div> <h3 class="title"> <a href="/7179262"><strong>Integral norm discretization and related problems.</strong></a> <i>(English. Russian original)</i> <a class="label nowrap" href="/7179262">Zbl 07179262</a> </h3> <div class="source"> <a href="/serials/201" title="Journal Profile">Russ. Math. Surv.</a> <a href="/?q=in%3A447855" title="Articles in this Issue">74, No. 4, 579-630 (2019)</a>; translation from Usp. Mat. Nauk 74, No. 4, 3-58 (2019). </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65J05" title="General theory of numerical analysis in abstract spaces">65J05</a> <a class="mono" href="/classification/?q=cc%3A65D32" title="Numerical quadrature and cubature formulas">65D32</a> <a class="mono" href="/classification/?q=cc%3A41A55" title="Approximate quadratures">41A55</a> <a class="mono" href="/classification/?q=cc%3A41A17" title="Inequalities in approximation (Bernstein, Jackson, Nikol’skiĭ-type inequalities)">41A17</a> <a class="mono" href="/classification/?q=cc%3A41A63" title="Multidimensional problems">41A63</a> <a class="mono" href="/classification/?q=cc%3A42A10" title="Trigonometric approximation">42A10</a> <a class="mono" href="/classification/?q=cc%3A42B99" title="Harmonic analysis in several variables">42B99</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 07179262" data-ciurl="/ci/07179262" data-biburl="/bibtex/07179262.bib" data-amsurl="/amsrefs/07179262.bib" data-xmlurl="/xml/07179262.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/07179262.pdf" title="Zbl 07179262 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1070/RM9892" aria-label="DOI for “Integral norm discretization and related problems”" title="10.1070/RM9892">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1807.01353"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item6516181" value="6516181" aria-label="mark item Zbl 1345.94014"></div> <div class="author"><a href="/authors/krahmer.felix" title="Author Profile">Krahmer, Felix</a>; <a href="/authors/needell.deanna" title="Author Profile">Needell, Deanna</a>; <a href="/authors/ward.rachel-a" title="Author Profile">Ward, Rachel</a></div> <h3 class="title"> <a href="/1345.94014"><strong>Compressive sensing with redundant dictionaries and structured measurements.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1345.94014">Zbl 1345.94014</a> </h3> <div class="source"> <a href="/serials/1638" title="Journal Profile">SIAM J. Math. Anal.</a> <a href="/?q=in%3A350079" title="Articles in this Issue">47, No. 6, 4606-4629 (2015)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A94A12" title="Signal theory (characterization, reconstruction, filtering, etc.)">94A12</a> <a class="mono" href="/classification/?q=cc%3A41A45" title="Approximation by arbitrary linear expressions">41A45</a> <a class="mono" href="/classification/?q=cc%3A42A10" title="Trigonometric approximation">42A10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1345.94014" data-ciurl="/ci/06516181" data-biburl="/bibtex/06516181.bib" data-amsurl="/amsrefs/06516181.bib" data-xmlurl="/xml/06516181.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/06516181.pdf" title="Zbl 1345.94014 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1137/151005245" aria-label="DOI for “Compressive sensing with redundant dictionaries and structured measurements”" title="10.1137/151005245">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/1501.03208"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item5053892" value="5053892" aria-label="mark item Zbl 1098.33006"></div> <div class="author"><a href="/authors/mathar.richard-j" title="Author Profile">Mathar, Richard J.</a></div> <h3 class="title"> <a href="/1098.33006"><strong>Chebyshev series expansion of inverse polynomials.</strong></a> <i>(English)</i> <a class="label nowrap" href="/1098.33006">Zbl 1098.33006</a> </h3> <div class="source"> <a href="/serials/482" title="Journal Profile">J. Comput. Appl. Math.</a> <a href="/?q=in%3A185507" title="Articles in this Issue">196, No. 2, 596-607 (2006)</a>. </div> <div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A10003">Martin D. Buhmann (Gießen)</a></div> <div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A33C45" title="Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)">33C45</a> <a class="mono" href="/classification/?q=cc%3A65D15" title="Algorithms for approximation of functions">65D15</a> <a class="mono" href="/classification/?q=cc%3A42C20" title="Other transformations of harmonic type">42C20</a> <a class="mono" href="/classification/?q=cc%3A41A50" title="Best approximation, Chebyshev systems">41A50</a> <a class="mono" href="/classification/?q=cc%3A41A10" title="Approximation by polynomials">41A10</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> </div> <div class="modal-footer"> <button type="button" class="btn btn-primary" onclick="copyMetadata()">Copy to clipboard</button> <button type="button" class="btn btn-default" data-dismiss="modal">Close</button> </div> </div> </div> </div> <div class="functions clearfix"> <div class="function">  <a type="button" class="btn btn-default btn-xs pdf" data-toggle="modal" data-target="#metadataModal" data-itemtype="Zbl" data-itemname="Zbl 1098.33006" data-ciurl="/ci/05053892" data-biburl="/bibtex/05053892.bib" data-amsurl="/amsrefs/05053892.bib" data-xmlurl="/xml/05053892.xml" > Cite </a> <a class="btn btn-default btn-xs pdf" data-container="body" type="button" href="/pdf/05053892.pdf" title="Zbl 1098.33006 as PDF">Review PDF</a> </div> <div class="fulltexts"> <span class="fulltext">Full Text:</span> <a class="btn btn-default btn-xs" type="button" href="https://doi.org/10.1016/j.cam.2005.10.013" aria-label="DOI for “Chebyshev series expansion of inverse polynomials”" title="10.1016/j.cam.2005.10.013">DOI</a> <a class="btn btn-default btn-xs" type="button" href="https://arxiv.org/abs/math/0403344"title="Note: arXiv document may differ from published version">arXiv</a> </div> <div class="sfx" style="float: right;"> </div> </div> </article> </div> <div class="list" role="listitem"> <article> <div class="mark-btn"><input type="checkbox" name="mark" id="item93328" value="93328" aria-label="mark item Zbl 0754.65007"></div> <div class="author"><a href="/authors/bar-on.ilan" title="Author Profile">Bar-On, Ilan</a>; <a href="/authors/sidi.avram" title="Author Profile">Sidi, Avram</a></div> <h3 class="title"> <a href="/0754.65007"><strong>New algorithms for polynomial and trigonometric interpolation on parallel computers.</strong></a> <i>(English)</i> <a class="label nowrap" href="/0754.65007">Zbl 0754.65007</a> </h3> <div class="source"> <a href="/serials/354" title="Journal Profile">BIT</a> <a href="/?q=in%3A9009" title="Articles in this Issue">32, No. 3, 464-480 (1992)</a>. </div><div class="classification"> MSC:  <a class="mono" href="/classification/?q=cc%3A65D05" title="Numerical interpolation">65D05</a> <a class="mono" href="/classification/?q=cc%3A65T40" title="Numerical methods for trigonometric approximation and interpolation">65T40</a> <a class="mono" href="/classification/?q=cc%3A42A15" title="Trigonometric interpolation">42A15</a> <a class="mono" href="/classification/?q=cc%3A41A05" title="Interpolation in approximation theory">41A05</a> </div>  <div class="modal fade" id="metadataModal" tabindex="-1" role="dialog" aria-labelledby="myModalLabel"> <div class="modal-dialog" role="document"> <div class="modal-content"> <div class="modal-header"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> <h4 class="modal-title" id="myModalLabel">Cite</h4> </div> <div class="modal-body"> <div class="form-group"> <label for="select-output" class="control-label">Format</label> <select id="select-output" class="form-control" aria-label="Select Metadata format"></select> </div> <div class="form-group"> <label for="metadataText" class="control-label">Result</label> <textarea class="form-control" id="metadataText" rows="10" style="min-width: 100%;max-width: 100%"></textarea> </div> <div id="metadata-alert" class="alert alert-danger" role="alert" style="display: none;">  </div> 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