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Gossett E. — Discrete Math with Proof |
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Предметный указатель |
Directed walk, endpoints 643
Directed walk, length 643
Dirichlet drawer principle 238
Dirichlet, Peter Gustav Lejeune 728
Discrete 1 257
Discrete mathematics 2
Disjoint 15 see disjoint"
Disjunction 34
Disjunctive normal form 770
Distinct representatives 484
Distributive A3 see
Divide-and-conquer 358
Divided differences 415
Divine proportion A20
Divisible 96
Divisor 214
dodecahedron 611
DOM 702
Domain 729 732
Dominoes 226
Dr. Seuss 238
draft 263
DTD 699
Dual graph 633
Duality 57 428
Duality principle 57 428
Dynamic programming 459
Eccentricity 676
Edge connectivity 603
Edge list 619
Edge, elementary subdivision 626
Efficiency 476
Element 15 694 see element"
Elementary number theory 243
Elementary subdivision 626
ELISA 298
Ellipsis 15
Embedding 617
Empirical probability 261 see calculating"
Empty set 15 see empty
Encode 471 473 522
Encoding 529
end tag 694
Endpoints 600 643
Enigma machine 200
enqueue 686
Enumeration 403
Equally likely outcomes 260 see definitions equally
EQUIVALENCE 39 see operators biconditional"
Equivalence class 740
Equivalence class, class representative 740
Equivalence relation 736 739
Equivalent binary expressions 770
Equivocation 31 see informal equivocation"
Erdoes, Paul 107 239
erf(x) 769
Error function 769
Error-correcting code 470 474
Error-correcting code, hamming code 480 516
Error-correcting code, perfect 479
Error-correcting code, repetition code 476 480 516
Essential dependency 755
Estimation 266
Euclidean division algorithm 96 99 A2
Euclid’s Elements 91
Euler 164 243
Euler circuit 608
Euler gamma functions 337
Euler totient function 164 243
Euler trail 608
Euler, Leonhard 8 73 121 405 427 590 732
Euler’s 36 officers problem 427
Euler’s formula 629
Even 96
Event 258 see definitions event"
Excitatory input 576
Exclusive OR 34
Existence 403
Existential quantifier 107
Expected value 285 287 see expected "Probability definitions expected
External node 673 675
Face 628
Face card 219
Face value 219
Factor A2
Factorial 120
Fair game 290 see definitions fair
Fallacy 70 see formal "Logic informal
Fallacy of affirming the consequent 51
Fallacy of denying the antecedent 51
Fallacy, gambler’s 268
Falling factorial 416
FALSE 33
Fano plane 429
Favorable outcome 258 see definitions favorable
fibonacci 675
Fibonacci sequence 134 332 344
Field A3
Field axioms A3
Fields 746
FILE 746
Finite automaton 531
Finite induction 118
Finite projective plane 428
Finite projective plane and mutually orthogonal Latin squares 433
Finite projective plane, duality principle 428
Finite projective plane, Fano plane 429
Finite projective plane, order n 432
Finite-state machine 9 530
Finite-state machine with output 535
Finite-state machine, deterministic finite automaton 557
Finite-state machine, finite automaton 531
Finite-state machine, non-deterministic finite automaton 557
First normal form 754
Floor function 177
Foreign key 759
Formal logic 14
Formulas, counting 213
Formulas, probability 274 307
Four color theorem 107
Fractions A3 see rational
Free variables 63
Full m-ary tree 670
Function 729
Function, 1-1 729
Function, bijective 729
Function, binary 768
Function, boolean 766 767
Function, domain 729
Function, image 729
Function, injective 729
Function, inverse 731
Function, one-to-one 729
Function, onto 729
Function, range 729
Function, surjective 729
Functionally complete 789
Functionally dependent 747 751
Fundamental theorem of algebra A6
Fundamental Theorem of Arithmetic 98 114 125 A2
Gambler’s fallacy 268
gambling 293
Gamma functions 337
Gate 784
Gate, and 785
Gate, nand 789
Gate, nor 789
Gate, NOT 785
Gate, or 785
Gates 37
| Gauss 91
GCD 97 111
gcd, calculating 98 111 143 331
Generalization, improper 31 see informal inappropriate
Generating function 372
Generating function, derivative 377
Geometric progression 126—128
Geometric sequence 126
Geometric series 127
Goedel 103
Golden ratio A20
Golden rectangle A20
Golden section A20
Grammar 571
Graph 591 592
Graph theory 591
Graph, adjacency list 619
Graph, adjacency matrix 604 642
Graph, bipartite 596
Graph, chromatic number 634
Graph, circuit 600
Graph, clique 599
Graph, complement 594
Graph, complete bipartite 596
Graph, complete graph 596
Graph, component 601
Graph, connected 601
Graph, cycle 596 600
Graph, degree sequence 620
Graph, digraph 641 see
Graph, directed graph 641 see
Graph, dual 633
Graph, edge 591 592
Graph, edge list 619
Graph, embedding 617
Graph, grid 596
Graph, Grotztsch 639
Graph, Heawood 639
Graph, Herschel 611
Graph, homeomorphic 626
Graph, hypercube 597
Graph, icosahedron 639
Graph, incidence matrix 617
Graph, independent set 599
Graph, induced subgraph 594
Graph, isomorphic 619
Graph, line 595
Graph, loop 592
Graph, minimal spanning tree 711
Graph, multigraph 593
Graph, path 600
Graph, Petersen 626
Graph, planar 624
Graph, regular 593 629
Graph, simple 591 592
Graph, simple directed 641
Graph, spanning tree 705
Graph, star 597
Graph, subgraph 594
Graph, trail 600
Graph, Tutte 615
Graph, underlying simple graph 593
Graph, vertex 591 592
Graph, walk 600
Graph, Walther 639
Graph, wheel 596
Graphic 620
Greatest common divisor 97
Greedy algorithm 458 711
Greek alphabet A26
Grid graph 596
Grotztsch graph 639
Guthrie, Francis 632
Guthrie, Frederick 632
Hail’s marriage theorem 486
Haken, Wolfgang 632
Halting problem 198—200
Hamilton cycle 611
Hamilton path 611
Hamilton, William Rowan 611 632
Hamming code 470
Hamming distance 474
Hamming weight 474
Handshake Theorem 594 652
Hanoi 333 see
Hasse diagram 738
Heap 685 see
Heap sort 686
Hearts 219
Heawood graph 639
Heawood, Percy 632
Hegesippus 383
Height of a tree 670
Herschel graph 611
Heuristic 464
Hexadecimal 555 A7 see representation hexadecimal"
Hierholzer, Carl 609
hilbert 91 323
Homeomorphic 626
Homogeneous 338
HTML 554 693
Hyper-Text Markup Language 554
Hypercube 597
Hypotenuse A4
Hypothesis 38 70 94
Icosahedron graph 639
Icosian game 611
Identity A3 see
Identity matrix A23
if ... then ... 38 see operators implication"
If and only if 40
IFF 26
Image 729
imaginary numbers A5 see complex
Implication 38 see operators biconditional" "Logic operators implication"
Implies 38 see operators implication"
IMPOSSIBLE 199
IN 15 see element"
In-order traversal 677
Incidence function 592
Incidence matrix 617
Incidence matrix of a BIBD 446
incident 593
Inclusion-exclusion 241 242
Inclusive or 34
Indegree 642
Indegree sequence 653
Independent 92
Independent events 267 see definitions independent
Independent set 599
Independent tasks or choices 213 see formulas"
Index set 19
Index variable A10 see
Indirect proof 48 86
induce 740
Induction 117 see
Inductive reasoning 94
Inference 45
Infinite set 17
Infix 556 678
Informal logic 14
information 528 576
Information processor 576
Information source 522
Inhibitory input 576
Initial vertex 641
Injective 729
Input string 531
Insanity 37
INTEGER A2 see integers"
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