Document Zbl 0191.18001

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The <strong>and-operator &</strong> is default and can be omitted.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Chebyshev+%7C+Tschebyscheff">Chebyshev | Tschebyscheff</a></span> <span class="search-explanation" role="cell">The <strong>or-operator |</strong> allows to search for <em>Chebyshev</em> or <em>Tschebyscheff</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=Quasi%2A+map%2A+py%3A+1989">Quasi* map* py: 1989</a></span> <span class="search-explanation" role="cell">The resulting documents have <strong><u>p</u>ublication <u>y</u>ear</strong> <em>1989</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=so%3A+Eur%2A+J%2A+Mat%2A+Soc%2A+cc%3A+14">so: Eur* J* Mat* Soc* cc: 14</a></span> <span class="search-explanation" role="cell">Search for publications in a particular <strong><u>so</u>urce</strong> with a <strong>Mathematics Subject <u>C</u>lassification <u>c</u>ode (<u>cc</u>)</strong> in <em>14</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=%22Partial+diff%2A+eq%2A%22+%21+elliptic">"Partial diff* eq*" ! elliptic</a></span> <span class="search-explanation" role="cell">The <strong>not</strong>-operator <strong>!</strong> eliminates all results containing the word <em>elliptic</em>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=dt%3A+b+%26+au%3A+Hilbert">dt: b & au: Hilbert</a></span> <span class="search-explanation" role="cell">The <strong><u>d</u>ocument <u>t</u>ype</strong> is set to books; alternatively: <u>j</u> for <strong>journal articles</strong>, <u>a</u> for <strong>book articles</strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=py%3A+2000-2015+cc%3A+%2894A+%7C+11T%29">py: 2000-2015 cc: (94A | 11T)</a></span> <span class="search-explanation" role="cell">Number <strong>ranges</strong> are accepted. Terms can be grouped within <strong><u>(</u>parentheses<u>)</u></strong>.</span> </div> <div class="help-item" role="row"> <span class="search-example" role="rowheader"><a href="/?q=la%3A+chinese">la: chinese</a></span> <span class="search-explanation" role="cell">Find documents in a given <strong><u>la</u>nguage</strong>. <a href="http://en.wikipedia.org/wiki/ISO_639-1">ISO 639-1</a> language codes can also be used.</span> </div> </div> <div id="help-fields"> <h2>Fields</h2> <table> <tr> <td class="nowrap padding" role="rowheader"><strong>any</strong></td> <td class="padding">anywhere</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>an</strong></td> <td class="padding">internal document identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>au</strong></td> <td class="padding">author, editor</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ai</strong></td> <td class="padding">internal author identifier</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ti</strong></td> <td class="padding">title</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>la</strong></td> <td class="padding">language</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>so</strong></td> <td class="padding">source</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ab</strong></td> <td class="padding">review, abstract</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>py</strong></td> <td class="padding">publication year</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>rv</strong></td> <td class="padding">reviewer</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>cc</strong></td> <td class="padding">MSC code</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>ut</strong></td> <td class="padding">uncontrolled term</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>dt</strong></td> <td class="padding" colspan="4">document type (<strong>j</strong>: journal article; <strong>b</strong>: book; <strong>a</strong>: book article)</td> </tr> </table> </div> <div id="help-operators"> <h2>Operators</h2> <table> <tr> <td class="nowrap padding" role="rowheader">a <strong>&</strong> b</td> <td class="padding">logic and</td> </tr> <tr> <td class="nowrap padding" role="rowheader">a <strong>|</strong> b</td> <td class="padding">logic or</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>!</strong>ab</td> <td class="padding">logic not</td> </tr> <tr> <td class="nowrap padding" role="rowheader">abc<strong>*</strong></td> <td class="padding">right wildcard</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>"</strong>ab c<strong>"</strong></td> <td class="padding">phrase</td> </tr> <tr> <td class="nowrap padding" role="rowheader"><strong>(</strong>ab c<strong>)</strong></td> <td class="padding">parentheses</td> </tr> </table> </div> <p> See also our <a href="/general-help/">General Help</a>. </p></div> </div> </form> <div class="clearfix"></div> </div> <div class="content-shadow"></div> </div> </div> <div id="body"> <div id="main"> <div class="messages"> </div> <div id="documents"> <div class="content-main"> <div class="content-item"><div class="item"> <article> <div class="author"><a href="/authors/knuth.donald-ervin" title="Author Profile">Knuth, Donald E.</a></div> <h2 class="title"> <strong>The art of computer programming. Vol. 2: Seminumerical algorithms.</strong> <i>(English)</i> <a class="label nowrap" href="/0191.18001">Zbl 0191.18001</a> </h2> <div class="source"> Addison-Wesley Series in Computer Science and Information Processing. Reading, Mass.: Addison-Wesley Publishing Company. XII, 624 p. (1969). </div> <div class="abstract">Der vorliegende zweite Band enth盲lt die Kapitel 3 (Random Numbers) und 4 (Arithmetic) der geplanten 7-b盲ndigen Monographie 眉ber die “Kunst des Programmierens” [The art of computer programming. Vol. 1: Fundamental algorithms. Addison-Wesley Series in Computer Science and Information Processing. London: Addison-Wesley Publishing Company (1968; <a href="/0191.17903">Zbl 0191.17903</a>)]. Nach einem 脺berblick 眉ber die Verwendung von Zufallszahlen zur Simulation realer Vorg盲nge, zur Stichprobenauswahl oder f眉r Monte-Carlo Methoden der Numerischen Mathematik wird auf die Schwierigkeiten hingewiesen, zuf盲llige Zahlenfolgen durch determinierte Rechenschritte aufzustellen. Es werden verschiedene Methoden der Erzeugung vorn Zufallszahlen und statistische Tests zum Nachweis des zuf盲lligen Charakters behandelt und Transformationen gleichverteilter Zufallszahlen in andere Typen von Zufallsgr枚脽en (zuf盲llige Wahl unter $k$ M枚glichkeiten, Bestimmung eines Zeitpunkts f眉r den Eintritt eines zuf盲lligen Ereignisses, stetige Verteilungen) angegeben.<br class="zbmathjax-paragraph">Kapitel 4 behandelt verschiedene Systeme der Zahlendarstellung und den 脺bergang von einem System zum anderen, Probleme der Gleitkommarechnung, das Rechnen mit ganzen Zahlen und Br眉chen, die Zerlegung in Primfaktoren und die Bestimmung des gr枚脽ten gemeinsamen Teilers. Ferner enth盲lt es zwei Abschnitte 眉ber Polyname (Division, Zerlegung in Faktoren, Berechnung von Potenzen, Berechnung von Polynomen: Hornerschema) und Potenzreihen (Summe, Produkt, Quotient).<br class="zbmathjax-paragraph">Wie bereits im ersten Band enth盲lt jeder Abschnitt eine Vielzahl von 脺bungsaufgaben, deren ausf眉hrliche L枚sungen im Anhang angegeben sind. Um das Buch weitgehend unabh盲ngig vom ersten Band zu machen, wird am Schluss noch einmal auf den hypothetischen Rechner MIX mit seiner bei vielen Beispielen verwendeten Programmiersprache MIXAL eingegangen. Schlie脽lich enth盲lt auch der 2. Band Tabellen wichtiger Konstanten (dezimal und oktal), die Erkl盲rung der verwendeten Bezeichnungen und einen ausf眉hrlichen Index.<div class="reviewer"> Reviewer: <a href="/authors/?q=rv%3A3845">Gerhard Mae脽</a></div> <div class="clearfix"></div><div class="scan"> <span> Page: <a class="goto" href="/scans/191/175.gif">−5</a> <a class="goto" href="/scans/191/176.gif">−4</a> <a class="goto" href="/scans/191/177.gif">−3</a> <a class="goto" href="/scans/191/178.gif">−2</a> <a class="goto" href="/scans/191/179.gif">−1</a> <a class="goto" href="/scans/191/180.gif">±0</a> <a class="goto" href="/scans/191/181.gif">+1</a> <a class="goto" href="/scans/191/182.gif">+2</a> <a class="goto" href="/scans/191/183.gif">+3</a> <a class="goto" href="/scans/191/184.gif">+4</a> <a class="goto" href="/scans/191/185.gif">+5</a></span> <a class="scan" href="/scans/191/180.gif">Show Scanned Page</a><br> <img src="/scans/191/180.gif" alt="scan of Zbl 0191.18001" onclick="$(this).siblings('.scan').click();"> </div> <div class="clearfix"></div></div> <div class="clear"></div> <br> <div class="citations"><div class="clear"><a href="/?q=ci%3A3303655">Cited in <strong>15</strong> Reviews</a></div><div class="clear"><a href="/?q=rf%3A3303655">Cited in <strong>633</strong> Documents</a></div></div> <div class="classification"> <h3>MSC:</h3> <table><tr> <td> <a class="mono" href="/classification/?q=cc%3A68-02" title="MSC2020">68-02</a> </td> <td class="space"> Research exposition (monographs, survey articles) pertaining to computer science </td> </tr><tr> <td> <a class="mono" href="/classification/?q=cc%3A68Nxx" title="MSC2020">68Nxx</a> </td> <td class="space"> Theory of software </td> </tr></table> </div><div class="keywords"> <h3>Keywords:</h3><a href="/?q=ut%3Acomputer+science+and+automata">computer science and automata</a></div><div class="keywords"> <h3>Citations:</h3><a href="/0191.17903">Zbl 0191.17903</a></div> <div class="software"> <h3>Software:</h3><a 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