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Matching tables for corresponding exercises from the 5th, 6th, 7th and 7th global editions of Rosen's book Discrete Mathematics and its Applications, Chapter 1 on The Foundations: Logic and Proofs (Bilingual edition, Spanish/English) (Technical report). KDEM (Knowledge Discovery Engineering and Management). DA/HD – 703-01.
Discrete mathematics is the study of mathematical structures that can be considered "discrete" (in a way analogous to discrete variables, having a bijection with the set of natural numbers) rather than "continuous" (analogously to continuous functions).
Roberts' research concerns graph theory and combinatorics, and their applications in modeling problems in the social sciences and biology. [1] Among his contributions to pure mathematics, he is known for introducing the concept of boxicity, the minimum dimension needed to represent a given undirected graph as an intersection graph of axis-parallel boxes.
Ralph Peter Grimaldi (born January 1943) is an American mathematician specializing in discrete mathematics who is a full professor at Rose-Hulman Institute of Technology. [1] He is known for his textbook Discrete and Combinatorial Mathematics: An Applied Introduction [1] , first published in 1985 and now in its fifth edition, and his numerous ...
The Center for Discrete Mathematics and Theoretical Computer Science (DIMACS) is a collaboration between Rutgers University, Princeton University, and the research firms AT&T, Bell Labs, Applied Communication Sciences, and NEC. It was founded in 1989 with money from the National Science Foundation. Its offices are located on the Rutgers campus ...
Analogously, in any group G, powers b k can be defined for all integers k, and the discrete logarithm log b a is an integer k such that b k = a. In number theory , the more commonly used term is index : we can write x = ind r a (mod m ) (read "the index of a to the base r modulo m ") for r x ≡ a (mod m ) if r is a primitive root of m and gcd ...
Dichotomization is the special case of discretization in which the number of discrete classes is 2, which can approximate a continuous variable as a binary variable (creating a dichotomy for modeling purposes, as in binary classification). Discretization is also related to discrete mathematics, and is an important component of granular computing.
Graduate Texts in Mathematics (GTM) (ISSN 0072-5285) is a series of graduate-level textbooks in mathematics published by Springer-Verlag.The books in this series, like the other Springer-Verlag mathematics series, are yellow books of a standard size (with variable numbers of pages).
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