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                    | Gossett E. — Discrete Math with Proof |  
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                    | Предметный указатель |  
                    | | Integers      95 see Interior node      670
 Interpolation search      180
 Intersection      15 19 269 see intersection"
 Intuitionism      107
 Invalid      70 see invalid"
 Inverse      42 43 83 A3 see
 Inverse matrix      A25
 Inverse, function      731
 Inverse, relation      733
 Inverter      785
 Invited inference      30 see informal invited
 Irrational number      96
 Irrational numbers      A4
 Island of knights and knaves      A12 A13 A16 A18
 Isomorphic      619
 Isomorphism invariant      620
 Iteration      158 see
 Jacopini      154
 Join      749
 Jordan curve theorem      637
 Josephus      384
 Josephus problem      383
 Kaliningrad      590 see
 Karnaugh map      781
 Kempe, Alfred      632
 Key      747
 Key, alternate      747
 Key, foreign      759
 Key, primary      747
 Kirchoff      709
 Kirkman’s schoolgirls      9
 Kleene closure      544 551 584
 Kleene, Stephen Cole      544
 Kleene’s Theorem      562
 KMP      188 see
 Knapsack problem      457
 Knapsack problem, 0-1      457
 Knapsack problem, bounded      457
 Knapsack problem, unbounded      457
 Knave      A12 see
 Knight      A12 see
 Knuth — Morris — Pratt      188 see
 Koenigsberg      8 590
 Kuratowski, Kazimierz      627
 Kuratowski’s Theorem      627
 Lagrange interpolation      327
 Lake, Baikal      30
 Lake, Caspian Sea      30
 Lake, Superior      30
 Lambert, Johann Heinrich      A4
 Language generated by a grammar      543
 Language over
  541 Language over
  , complement      570 Language over
  , regular      543 Latin square      421
 Latin square and finite projective planes      433
 Latin square, mutually orthogonal      424
 Latin square, orthogonal      424
 Latin square, self-orthogonal      443
 Latin square, standardized      421
 Law of hypothetical syllogism      48 86
 LCM      97
 Leaf      670
 leaf node      670
 Least common multiple      97
 Left child      671
 Lemma      93
 Level of a node      669
 level-order traversal      686
 Lexicographical      679
 Limit of a sequence      173
 Limit point      A4
 Line      428 591 592
 Line graph      595
 Linear      338
 Linear code      474
 linear combination      415
 Linear homogeneous recurrence relation with constant coefficients of degree k      339 397
 Linear homogeneous recurrence relations with constant coefficients      338
 Linear search      179 see
 Lobachevsky      91
 Logarithmic functions      171
 Logic      13
 Logic circuits      788
 Logic gate      784
 Logic operator      33 see operators"
 Logic puzzles      A12
 Logic, analyzing claims      29
 Logic, argument form      70 see
 Logic, conditional statement      41
 Logic, contingency      41
 Logic, contradiction      41
 Logic, derived implications      41—43
 Logic, formal      14
 Logic, formal fallacies, affirming the consequent      70
 Logic, formal fallacies, denying the antecedent      70
 Logic, informal      14
 Logic, informal fallacies      30—32
 Logic, informal fallacies, appeal to authority      30
 Logic, informal fallacies, circular reasoning      31
 Logic, informal fallacies, confusing the whole and the parts      31
 Logic, informal fallacies, equivocation      31
 Logic, informal fallacies, inappropriate generalization      31
 Logic, informal fallacies, incorrectly using averages      31
 Logic, informal fallacies, invited inference      30
 Logic, informal fallacies, no one knows, so I must be right      31
 Logic, informal fallacies, nonsequitur      31
 Logic, informal fallacies, shifting the focus      30
 Logic, informal fallacies, Using rules in an inappropriate context      30
 Logic, operators      33 39 269
 Logic, operators, AND      34—35
 Logic, operators, biconditional      39—40
 Logic, operators, conjunction      34
 Logic, operators, disjunction      34
 Logic, operators, equivalence      41
 Logic, operators, exclusive OR      34
 Logic, operators, functionally complete      789
 Logic, operators, implication      38—39 42 43 83
 Logic, operators, inclusive OR      34
 Logic, operators, logical equivalence      41
 Logic, operators, NAND      37
 Logic, operators, NOR      37
 Logic, operators, NOT      34—35
 Logic, operators, OR      34—35
 Logic, operators, precedence      40
 Logic, operators, XOR      34
 Logic, predicate      33
 Logic, propositional      33
 Logic, puzzles      A12
 Logic, syllogistic      14 69
 Logic, symbolic      14
 Logic, tautology      41
 Logical fallacies      30 see formal "Logic informal
 Logical inconsistencies      30
 Logically equivalent      41
 Logicism      103
 Longfellow, Henry Wadsworth      530
 Loop      592
 lossless decomposition      752
 Lotteries      288 see sweepstakes
 Madeline      9
 Magic square      403
 Main diagonal      A22
 Mantoux skin test      294 see
 Marriage problem      484 see
 Marriage theorem      486
 Material implication      39
 Mathematical induction      117 131
 Mathematical induction, complete induction      124 131
 
 | Mathematical induction, finite      118 Mathematical induction, strong      125
 Mathematical induction, weak      118
 Mathematical models, probability      258 263
 Matrix      A22
 Matrix, addition      A24
 Matrix, coefficient      A23
 Matrix, identity      A23
 Matrix, inverse      A25
 Matrix, main diagonal      A22
 Matrix, multiplication      A24
 Matrix, power      A25
 Matrix, square      A22
 Matrix, transpose      A22
 Matrix, zero      A23
 MAX      116
 Maximal      613
 Maximal complete tree      670
 Maximal spanning tree      716 724
 Maxterm      779
 McCulloch      576
 McKay, Brendan      497
 Meaning      522
 Member      15 see member"
 Merchant of Venice      A15
 Merge sort      360
 Message      471 522
 Metacharacter      548 549
 MIN      116
 Minimal spanning tree      711
 Minimum distance of a code      474
 Minterm      769
 Miss Clavel      9
 Miyazaki, Hayao      732
 MOD      100
 modus ponens      47
 Monopoly      540
 Monotone      239
 Montague, Romeo      530
 Monty Hall      296 see Bayes’s
 Multigraph      593
 multinomial      230 231 237
 Multinomial theorem      237
 Mutually exclusive events      259 see definitions mutually
 Mutually exclusive tasks or choices      213 see formulas"
 Mutually orthogonal Latin squares      424
 NAND gate      789
 Nanosecond      172
 Natural join      749
 Natural numbers      95 A1 see "Number natural
 Necessary and sufficient      40
 Necessary and sufficient condition      110
 Negation      35 70
 Nesting      159 see
 Neural net      576
 neuron      576
 Newton, Isaac      410
 Noam Chomsky      571
 Node      668
 Noise      523
 Non-Euclidean geometry      92
 Nondecreasing function      363
 Nondeterministic finite automaton      557
 Nonkey attribute      747
 Nonnegative integers      A2 see natural
 Nonsequitur      31 see informal nonsequitur"
 Nonterminal symbol      542
 NOR gate      789
 Normal forms, first      754
 Normal forms, second      754
 Normal forms, third      754
 NOT      34 see operators NOT"
 NOT gate      785
 null character      541
 Null string      541
 number systems      A1—A9
 Number systems, complex numbers      A4—A6
 Number systems, integers      95 A2
 Number systems, integers mod p      A6
 Number systems, natural numbers      95 A1—A2
 Number systems, rational numbers      96 A2—A4
 Number systems, rational numbers, derivation      741 742
 Number systems, real numbers      A4
 Number theory      243
 Numbers, representation      A7—A9
 Numbers, representation, base      A7
 Numbers, representation, binary      A7—A9
 Numbers, representation, hexadecimal      A7—A9
 Numbers, representation, octal      A7—A9
 Numbers, representation, place value      A7
 Objects      409
 Obvious algorithm      187 see
 Occupancy problems      409
 Octal      A7 see representation octal"
 Odd      96
 Odds      288 see definitions odds"
 One-to-one      729 732
 One-to-one function      592
 Onto      729 732
 Opening tag      694
 Operations research      459
 Optimal      129
 Optimization      404 458
 OR      34 see operators OR"
 OR gate      785
 Order      213
 Order, axioms      A4
 Ordered tree      671
 Orthogonal Latin squares      424
 Outcome      257 see definitions outcome"
 Outdegree      642
 Outdegree sequence      653
 Output function      535
 Package      598
 Paper, scissors, rock      258 786
 Paradox      206
 Paradox, barber      199
 parallel      784
 Parent      669
 Parse tree      687
 Parser      701
 Parsing      573
 Partial ordering      737
 Partially ordered set      737
 Partition      19 739
 Partition of an integer      405
 Pascal’s theorem      234
 Pascal’s triangle      310
 Path      600
 Pattern matching      186
 Pattern matching, BM (Boyer — Moore)      191
 Pattern matching, KMP (Knuth — Morris — Pratt)      188
 Pattern matching, obvious algorithm      187
 Patterns      256
 Peano      323
 Perfect code      479
 Perl      553
 Permutation      213
 Permutation of a set      421
 permutations      216 see permutations"
 Permutations with repetition      217 see permutations
 Persian rugs      320 362
 Petersen graph      626
 Phrase-structured grammar      571
 Pigeon-hole principle      238 239
 Pipe symbol      545
 Pitts      576
 Planar graph      624
 Platonic solids      630
 Playfair’s postulate      91
 
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