LEADER 04477nam 2200577 450 001 9910786640103321 005 20230120014809.0 010 $a1-4832-6611-7 035 $a(CKB)3710000000201156 035 $a(EBL)1901635 035 $a(SSID)ssj0001433165 035 $a(PQKBManifestationID)11773696 035 $a(PQKBTitleCode)TC0001433165 035 $a(PQKBWorkID)11425684 035 $a(PQKB)11230333 035 $a(MiAaPQ)EBC1901635 035 $a(EXLCZ)993710000000201156 100 $a20150202h19711971 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aCombinatorics /$fN. Ya Villenkin ; translated by A. Shenitzer aned S. Shenitzer 210 1$aNew York, New York ;$aLondon, England :$cAcademic Press,$d1971. 210 4$dİ1971 215 $a1 online resource (313 p.) 300 $aIncludes index. 311 $a1-322-56042-0 311 $a0-12-721940-4 327 $aFront Cover; Combinatorics; Copyright Page; Table of Contents; Foreword; Preface to the Russian Edition; Chapter I. General Rules of Combinatorics; Superstitious Cyclists; Samples with Repetitions; Systems of Numeration; Combination Lock; The Morse Code; Signaling at Sea; Electronic Computers; Genetic Code; General Rules of Combinatorics; A Domino Problem; Crew of a Spaceship; A Checkers Problem; How Many People Do Not Know a Foreign Language?; The Principle of Inclusion and Exclusion; Find the Error!; The Sieve of Erastothenes; Chapter II. Samples, Permutations, and Combinations 327 $aSoccer TournamentSamples without Repetitions; Learned Society; Permutations; A Rook Problem; Linguistic Problems; Dancing in a Circle; Permutations with Repetitions; Anagrams; Combinations; The Genoa Lottery; Buying Pastry; Combinations with Repetitions; The Soccer Tournament Revisited; Properties of Combinations; Special Case of the Inclusion and Exclusion Formula; Alternating Sums of Combinations; Chapter III. Combinatorial Problems with Restrictions; Lions and Tigers; Construction of a Staircase; A Bookshelf; Knights of the Round Table; A Girl Has a Date; A Telepathic Se?ance; Derangements 327 $aSubfactorialsCaravan in the Desert; On the Merry-Go-Round; Queue at the Box Office; Problem of Two Rows; Additional Properties of Combinations; Chapter IV. Distributions and Partitions; A Domino Game; Putting Things in Boxes; A Bouquet; The Number of Divisors; Picking Apples; Picking Mushrooms; Sending Photographs; Flags on Masts; Count of All Signals; Various Statistics; Partitions of Numbers; Mailing of Printed Matter; The General Postage Problem; Combinatorial Problems in Information Theory; Problem of the University Applicant; Paying for a Purchase; Purchase of Candy; Getting Change 327 $a(Unordered) Partitions of an IntegerUse of Graphs; Dual Graphs; Euler's Formula; Chapter V5. Combinatorics on a Chessboard; Walking in a Town; The Arithmetical Square; Figurate Numbers; Arithmetical Triangle; The Extended Arithmetical Triangle; Chess King; The Generalized Arithmetical Triangle; Generalized Arithmetical Triangles and Numbers to the Base m; Some Properties of the Numbers Cm(k, n); Checker in a Corner; The Arithmetical Pentagon; Geometric Proofs of Properties of Combinations; Random Walk; Brownian Motion; In the Realm of the Tsarina of Shemakhan; An Absorbing Wall 327 $aRoaming on an Infinite PlaneThe General Rook Problem; Symmetric Arrangements; Two Knights; Chapter VI. Recurrence Relations; Fibonacci Numbers; Another Method of Proof; Successive Partitions; Multiplication and Division of Numbers; Polygon Problems; The Head Steward Faces a Difficulty; Lucky Bus Ticket Numbers; Recurrent Tables; Another Solution of the Problem of the Chief Steward; Solution of Recurrence Relations; Linear Recurrence Relations with Constant Coefficients; The Case of Equal Roots of the Characteristic Equation 327 $aApplication of the Theory of Recurrence Relations to Information Theory 330 $aCombinatorics 606 $aCombinatorial analysis 615 0$aCombinatorial analysis. 676 $a511.6 676 $a511/.6 700 $aVilenkin$b N. I?A$g(Naum I?Akovlevich),$0308824 702 $aShenitzer$b A. 702 $aShenitzer$b S. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910786640103321 996 $aCombinatorics$9383548 997 $aUNINA