AMS :: Bulletin of the American Mathematical Society

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The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.</p> <p><span id="issn"> ISSN 1088-9485 (online) ISSN 0273-0979 (print) </span></p> <p id="mcqintro">The 2024 MCQ for Bulletin of the American Mathematical Society is <span class="badge">0.84</span>. <a class="" data-toggle="collapse" href="#mcq" aria-expanded="false" aria-controls="mcq"> <i class="fa fa-info-circle" aria-hidden="true"></i></a> <div class="collapse" id="mcq"> What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. <a href="https://mathscinet.ams.org/mathscinet/search/journal/profile?groupId=3285" target="new">Subscribers to MathSciNet</a> may click through for more detailed information. </div> </p> </section> </div> </header> <main> <section class="row"> <nav class="col-md-3">  <nav class="journals-list-group"> <script type="text/javascript" src="/journals/javascript/bull_nav.js"></script> <a href="/journals/journals"><i class="fa-sharp fa-solid fa-house"></i> Journals Home</a> <a href="/epubsearch">eContent Search</a> <a href="/aboutbull" class="">About Bulletin of the American Mathematical Society</a> <a href="/bulledit" class="">Editorial Board</a> <a href="/bull/bullsubmit.html" class="">Author and Submission Information</a> <a href="/policies/policies" class="" target="_blank">Journal Policies</a> <a href="/subscriberinfo" class="" target="_blank">Subscription Information</a> <a href="/jemail" class="" target="_blank"> Journal Email Notifications</a> <hr> <a href="/pairing/pair_my_device.html"><i class="fa fa-globe" aria-hidden="true"></i> Remote Access</a> </nav> </nav> <article class="col-md-9"> <section>   <div class="row">  <ul class="nav nav-tabs"> <li role="presentation" class=""> <script type="text/javascript" src="/journals/javascript/bull_nav.js"></script> <a href="javascript: goto_most_recent_bull()" aria-controls="currissue" role="tab"> Current volume </a> </li> <li role="presentation" class="">  <a href="/cgi-bin/mstrack/accepted_papers/bull?active=press" aria-controls="press" role="tab">Articles in press </a> </li> <li role="presentation" class=""> <a href="/journals/bull/0000-000-00?active=recent"> Recently published</a> </li> <li role="presentation" class=""> <a href="/journals/bull/all_issues.html?active=allissues"> All issues : 1891 – Present </a> </li> </ul> <script src="/js/abstracts/ajaxcall.js"></script> </div> <p> </p> <style> #navCell { display: none;} </style> <script src="/journals/javascript/references.js" type="text/javascript"></script> <script async src="/js/mj.js"></script> <article class="col-md-12"> <header> <h2>The bases of probability<br> <small>HTML articles powered by AMS MathViewer <a href="/AMSMathViewer"><i class="fa fa-info-circle" aria-label="about MathViewer"></i></a></small></h2> <dl> <dd>by <a href="https://mathscinet.ams.org/mathscinet/search/authors.html?authorName=Koopman%2C%20B.%20O.">B. O. Koopman</a> <span class="pull-right"> <a href="S0002-9904-1940-07294-5.pdf"><small>PDF</small></a> </span> </dd> <dd>Bull. Amer. Math. Soc. <strong>46</strong> (1940), 763-774 </dd> </dl> </header> <section id="references"> <details> <summary>References</summary> <ul> </ul> </details> </section> <section id="additionalinformation"> <details> <summary>Additional Information</summary> <ul> <li>Journal: Bull. Amer. Math. 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