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Mathematics for Computer Science

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“mcs” — 2017/3/3 — 11:21 — page 973 — #981<br />

973<br />

INDEX<br />

of functions, 99<br />

of relations, 376<br />

Comprehension Axiom, 261<br />

concatenation, 205, 372<br />

concatentation, 234<br />

conditional expectation, 814<br />

confidence, 897<br />

confidence level, 870<br />

congestion, see communication net<br />

congruence, see also modular arithemtic,<br />

310<br />

conjunctive <strong>for</strong>m, 55, 78<br />

conjunctive normal <strong>for</strong>m, 56, 59<br />

connected, 376, 465, 468<br />

k-edge, 468<br />

k-vertex, 468<br />

edge, 468<br />

connected components, 466<br />

continuous faces, 521<br />

Continuum Hypothesis, 263<br />

contrapositive, 13, 53<br />

converse, 53<br />

convex function, 878<br />

Convolution, 679<br />

convolution, 679<br />

Convolution Counting Principle, 696<br />

corollary, 9<br />

countable, 249, 264, 267<br />

countably infinite, 249<br />

counter-model, 66<br />

coupon collector problem, 826<br />

cover, 456<br />

covering edge, 411<br />

critical path, 383, 407<br />

cumulative distribution function, 803<br />

cut edge, 468<br />

cycle, see directed graph, simple graph,<br />

460, 463<br />

of length n, 451<br />

cycle of a graph, 465<br />

DAG, 287, see directed graph<br />

de Bruijn, Nicolaas, 396<br />

degree d linear recurrence, 690<br />

degree-constrained, 457, 625, 657<br />

DeMorgan’s Laws, see also equivalence<br />

(logic), 57<br />

De Morgan’s Laws <strong>for</strong> Quantifiers, 64<br />

derived variables, 171<br />

deterministic games, 241<br />

deviation from the mean, 853<br />

diagonal argument, 254<br />

diameter, 505, 509<br />

Die Hard, 292<br />

Difference Rule, 735<br />

digraph, see directed graph<br />

Dilworth’s lemma, 384<br />

directed graph, 367, 369<br />

cycle, 371<br />

degree, 369<br />

directed acyclic graph, 377<br />

shortest path, 375<br />

walk<br />

trail, 398<br />

walk counting matrix, 374<br />

walk relation, 376, 385<br />

directed graphs, 287<br />

discrete faces, 524<br />

disjunctive <strong>for</strong>m, 55, 78<br />

disjunctive normal <strong>for</strong>m, 55, 59<br />

Distributive Law<br />

sets, 95<br />

divide-and-conquer, 951<br />

divisibility, 289, 369, 388<br />

Division Rule (counting), 605<br />

Division Theorem, 291<br />

DNF, see disjunctive <strong>for</strong>m<br />

domain, 97<br />

domain of discourse, 64, 664

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