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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).
Dr. A.P.J. Abdul Kalam Technical University, Lucknow formerly known as Uttar Pradesh Technical University (UPTU), was established by the government of Uttar Pradesh on 8 May 2000 (Act No. 1248 (2)XVII-V-I-I-19-2000 Uttar Pradesh Adhiniyam Sankhya 23 of 2000).
Discrete mathematics is the study of mathematical structures that are fundamentally discrete rather than continuous.In contrast to real numbers that have the property of varying "smoothly", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic [1] – do not vary smoothly in this way, but have distinct, separated values. [2]
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.
Discrete mathematics, also called finite mathematics, is the study of mathematical structures that are fundamentally discrete, in the sense of not supporting or requiring the notion of continuity. Most, if not all, of the objects studied in finite mathematics are countable sets , such as integers , finite graphs , and formal languages .
In discrete mathematics, a discrete fixed-point is a fixed-point for functions defined on finite sets, typically subsets of the integer grid . Discrete fixed-point theorems were developed by Iimura, [ 1 ] Murota and Tamura, [ 2 ] Chen and Deng [ 3 ] and others.
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