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Dr. A.P.J. Abdul Kalam Technical University (AKTU), before 2015 known as the Uttar Pradesh Technical University (UPTU), is a public collegiate university in Lucknow, Uttar Pradesh, India. It was established as the Uttar Pradesh Technical University through the Government of Uttar Pradesh on 8 May 2000.
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).
This is a discrete analogue of the Kakutani fixed-point theorem, and the function f is an analogue of a continuous selection function. [3.12] Suppose X is a finite integrally-convex subset of Z n {\displaystyle \mathbb {Z} ^{n}} , and it is also symmetric in the sense that x is in X iff - x is in X .
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.
A discrete subgroup H of G is cocompact if there is a compact subset K of G such that HK = G. Discrete normal subgroups play an important role in the theory of covering groups and locally isomorphic groups. A discrete normal subgroup of a connected group G necessarily lies in the center of G and is therefore abelian. Other properties:
Download QR code; Print/export ... Pages in category "Theorems in discrete mathematics" ... This page was last edited on 10 October 2020, ...
Discrete Mathematics is a biweekly peer-reviewed scientific journal in the broad area of discrete mathematics, combinatorics, graph theory, and their applications. It was established in 1971 and is published by North-Holland Publishing Company .
In probability theory and statistics, the discrete uniform distribution is a symmetric probability distribution wherein each of some finite whole number n of outcome values are equally likely to be observed. Thus every one of the n outcome values has equal probability 1/n. Intuitively, a discrete uniform distribution is "a known, finite number ...
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