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| Grimaldi R.P. — Student Solutions Manual for Discrete and Combinatorial Mathematics |
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| Предметный указатель |
Homomorphism of rings 698
Honsberger, Ross 506 507
Hopcroft, John E. 333 334 378 506 507 574 575 623 624 642 667 668 708
Hopper, Grace 623
Horizontal class 822
Horner's method 301
Horowitz, Ellis 641 642 668 669
Huffman tree 613 614
Huffman's construction for optimal trees 612—614
Huffman, David Albert 333 334 378 611 624 625
Hungarian method 668
Huygens, Christiaan 42 188
Hydrocarbon 581 584
Hydrogen 584
Hypercube 531—533 541—544 557 667
Hypothesis 48 51 53 67 70
Hypothesis testing 188
i ( ) 811
I Principii di Geometrica 377
icosahedron 548
Id(A) 644 646
id(v) 535
Ideal 684 700 706
Idempotent element (in a ring) 697
Idempotent Law of Addition 718 724 726 732
Idempotent Law of Multiplication 717
Idempotent Laws for a Boolean algebra 735
Idempotent Laws for Boolean functions 713
Idempotent Laws for Boolean variables 713
Idempotent Laws for logic 58
Idempotent Laws for set theory 139 147
Identical containers 493
Identity element for + in a ring 673
Identity element for a binary operation 269 270
Identity element for concatenation 311
Identity element of a group 745 794
Identity for the addition of real numbers 103
Identity function 279 A-24
Identity laws for a Boolean algebra 734
Identity laws for Boolean functions 713
Identity laws for Boolean variables 713
Identity laws for logic 58
Identity laws for set theory 139
Identity transformation 791 792
If and only if 48
If p, then q 51
If p, then q, else r 51
If-then decision structure 51
If-then statement 62
If-then-else decision structure 51
IFF 48
Ignition system 5
Image of a set 256 257
Image of an element 253 255
Implication 48 51—53 56 61—63 67 69 70 76 83 89 104 105 124
Implicit quantification 104
Implicit quantifiers 90
Implicit restriction 218 317
Implies 48
In degree of a vertex 535
incidence 123
Incidence matrix for a design 832
Incidence matrix for a graph 539
incident 514
Inclusive or 48
Incoming degree of a vertex 535
Incompletely specified Boolean function 731 732
Increment 689
Independence for three events 171 172
Independence number of a graph 564 666
Independent 786
Independent events 154 155 158 161 166 170 174 179 182 428 430 762
Independent in pairs 172
Independent set of vertices 564 627
Independent solutions see "Linearly independent solutions"
Independent switches 64 65
Indeterminate 799
Indeterminate form A-1
INDEX 145
Index list 379
Index of a product 239
Index of a summation 17
Index set 145 366 367
Indirect method of proof 82
Indirect proof 115
Induced subgraph 522 619
Induction 534 545
Induction hypothesis 196 198 199 201 203—205 207 208 214 216 238 298 315 317 805
Inductive proof 213
Inductive step 195—199 201—204 206 207 212—215 218
Infeld, Leopold 831 832
Infinite area 545
Infinite cardinal numbers A-31
Infinite countable set A-26
Infinite order (for a group) 746
Infinite region 545
Infinite sample space 164
Infinite sequence A-25 A-26
Infinite set 124 186 189 280 304 A-23—A-26 A-28 A-30
Infinite slope 821 822
Infix notation 251 591
Information retrieval 694
Information theory 795
Initial condition(s) 448 456
Initial flow 652 654
Initialization 636 639 642
Injective function 255
InOrder 594
Inorder traversal 594
Input (for a finite state machine) 309 319 320 322 324 329
Input (for a gate) 719 720
Input (for an algorithm) 253 289
Input (function) 253
Input alphabet 320 321
Input string 321 322 327 330 331
Instant Insanity 524 525
integer division 222
Integer solutions 235 392 415—417 427 433
Integer-valued function 254
Integers 113 114 133 193 242
Integers modulo n 686—696
Integral domain 677 678 681 682 801 802
Intel Corporation 5
Internal states 320 321 327 337 371
Internal vertices 588
Internet 12 13 575
Internet address 12
Internet security 222
Internet standard regarding reserved network numbers (STD2) 12
Intersection of graphs 570
Intersection of sets 136 138 214
Introductio in Analysin Infinitorum 443
Invalid argument 74 75 82 83 109
Invariant (element under a permutation) 781 783 784 786 787 789
Inventory 786
Inverse (under addition) 278
Inverse (under multiplication) 278
Inverse function 278 283 285 A-9
Inverse laws for a Boolean algebra 734
Inverse laws for Boolean functions 713
Inverse laws for Boolean variables 713
Inverse laws for logic 58
Inverse laws for set theory 139
Inverse of an implication 62 63 82 92—94 99
Inverses in a group 745 794
Inverses under + in a ring 673
Inverter 719 720 722
Invertible function 282—285 287 A-23
Irrational numbers 356 A-2
Irrational power A-3
| Irreducible polynomial 807 810 811 830
Irreflexive relation 344
Is approximately equal to ( ) 7
Isobutane 584
Isolated fundamental conjunction 724
Isolated product term 724
Isolated vertex 349 352 359 514
Isomers 573 796
Isomorphic Boolean algebras 739 740
Isomorphic copy 809
Isomorphic finite fields 813
Isomorphic graphs 526 527 542 543 549
Isomorphic groups 753 755
Isomorphic rings 698 699 704
Isomorphic trees 582 583
Isomorphism of Boolean algebras 737 740
Isomorphism of fields 810—811
Isomorphism of finite fields 813
Isomorphism of graphs 523 526—528
Isomorphism of groups 753
Isomorphism of rings 698
Isomorphism of trees 596
Itanium processor 5
Iteration 634—637 639—642 652 653 656
Iterative algorithm 477 478
Iverson, Kenneth 623
Iwasawa theory 706
Java 4 13 345
Jean, Roger V. 506 507
Jefferson, Thomas 54
Jiushao, Qin 707
Johnson, D.B. 642 668 669
Johnson, Lyle 623
Johnson, Selmer Martin 506 507
Jordan, Marie Ennemond 622
Juenger, M. 562 576
Juxtaposition 301 311
k-ary operation 306
K-equivalence 371 373
k-equivalent states 338 371 372
k-regular graph 531
k-unit delay machine 329
Karnaugh map 722—726 729 731 732
Karnaugh map, don't care conditions 731—733
Karnaugh, Maurice 722 742 743
Karp, Richard M. 653 654 669
Katz, Nick 706
Katz, Victor J. 189
Kempe, Sir Alfred 565
Kepler, Johannes 505
Kernel of a group homomorphism 797
Kernel of a ring homomorphism 704
Kershenbaum, A. 642 668
Key 295 302 501—503 691—695 759 760
Key, J.D. 796
Khan, Genghis 707
Khowarizm 242
Kimberling, Clark 707 708
King (of a tournament) 563
Kings (on a chessboard) 510
Kinney, John J. 175 189
Kirchhoff, Gustav 573 581 622
Kirkman, Thomas P. 562
Kitab al-jabr w'al muquabala 242
Kite 628
Kleene closure (of a language) 315 322
Kleene, Stephen Cole 119 120 315
Klein Four group 755
Klein, Felix 795
Kneiphof 533
Knuth, Donald Ervin 304 305 378 506 624 625 704 708
Koch snowflake curve 475
Koenig, Denes 573
Koenigsberg 378 513 518 533—535 573
Kohavi, Zvi 333 334 378
Kolmogorov, Andrei Nikolayevich 159 188 189
Koshy, Thomas 506 507
Kronecker, Leopold 242 705 795
Kruskal's algorithm 639—641
Kruskal, Joseph Bernard 638 667 669
Kummer, Ernst 706
Kuratowski's theorem 543 544 574
Kuratowski, Kasimir 543 573
l'Hospital's rule A-1
L(G) 578 670
Label 633—636
Labeled complete binary tree 610
Labeled directed graph 324
Labeled graph 562 634 636
Labeled multigraph 524 525
Labeled tree 586 611
Labeled trees on n vertices 623
Labyrinth 623
Ladas, Garasimos 506 507
Ladder graph 572 577 626 627
Lagrange's theorem 758
Lagrange, Joseph-Louis 510 752 794
Lame's theorem 459
Lame, Gabriel 458 505 705
Landau symbol 304
Landau, Edmund 304
Language 211 309 312—317 328 333 338
Largest possible block of adjacent 1's 726
Larney, Violet Hachmeister 244 707 708 795 796 831 832
Larson, Harold J. 444
Last nonzero remainder 232 235 808
Last-in-first-out structure 490
Latin square (in standard form) 816 817
Latin squares 799 815—820 822—824 831
Lattice 364 377
Lattice point 277
Law of Double Negation 58 59 61 62
Law of the Double Complement for a Boolean algebra 736
Law of the Double Complement for Boolean functions 713
Law of the Double Complement for Boolean variables 713
Law of the Double Complement for set theory 139
Law of the syllogism 72 73 78 108 127
Law of total probability 169 170 173
Law of Total Probability (Extended Version) 173
Lawler, Eugene L. 562 575 576 667 669
Laws for Boolean functions 713 735
Laws for Boolean variables 713
Laws of logic 58—65 74 77 83 113 139 140 211 713 735
Laws of set theory 139 144 163 168 169 713 735
Lay, David C. A-21
lcm (least common multiple) 236 240 391 734 737 739
Le Probleme des rencontres 411
Leading coefficient 799 806
Leaf 588 591 593 596 597 600 601 611 612
Least common multiple 236 240 391 734 737 739
Least element (in a poset) 363
Least element (well-ordered set) 194
Least significant 731
Least significant bit 323 324
Least upper bound (lub) 363
Leaves of a plant 505
Left branch 488
Left child 590 594 610 611
Left children 594 595
Left coset 757
Left subtree 590 592 594 596 614
Left-cancellation property (in a group) 747 757
Legendre, Adrien-Marie 705
Lehman, John 623
Lehmer, Derrick H. 689
Leibniz, Gottfried Wilhelm 118 302
Leiserson, Charles E. 504 507 624 625 638 643 654 667
Lemma 222
Length of a chain 381
Length of a cycle (in a graph) 351
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