What does coincidence point mean?

Definitions for coincidence point
co·in·ci·dence point

This dictionary definitions page includes all the possible meanings, example usage and translations of the word coincidence point.


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Wiktionary

  1. coincidence pointnoun

    Of two mappings, a point in the domain of both mappings that has same image under both.

Wikipedia

  1. Coincidence point

    In mathematics, a coincidence point (or simply coincidence) of two functions is a point in their common domain having the same image. Formally, given two functions f , g : X → Y {\displaystyle f,g\colon X\rightarrow Y} we say that a point x in X is a coincidence point of f and g if f(x) = g(x).Coincidence theory (the study of coincidence points) is, in most settings, a generalization of fixed point theory, the study of points x with f(x) = x. Fixed point theory is the special case obtained from the above by letting X = Y and taking g to be the identity function. Just as fixed point theory has its fixed-point theorems, there are theorems that guarantee the existence of coincidence points for pairs of functions.

Wikidata

  1. Coincidence point

    In mathematics, a coincidence point of two mappings in their domain having the same image point under both mappings. Formally, given two mappings we say that a point x in X is a coincidence point of f and g if f(x) = g(x). Coincidence theory is, in most settings, a generalization of fixed point theory, the study of points x with f(x) = x. Fixed point theory is the special case obtained from the above by letting X = Y and taking g to be the identity mapping. Just as fixed point theory has its fixed-point theorems, there are theorems that guarantee the existence of coincidence points for pairs of mappings. Notable among them, in the setting of manifolds, is the Lefschetz coincidence theorem, which is typically known only in its special case formulation for fixed points. Coincidence points, like fixed points, are today studied using many tools from mathematical analysis and topology. An equaliser is a generalization of the coincidence set.

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Numerology

  1. Chaldean Numerology

    The numerical value of coincidence point in Chaldean Numerology is: 4

  2. Pythagorean Numerology

    The numerical value of coincidence point in Pythagorean Numerology is: 5


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"coincidence point." Definitions.net. STANDS4 LLC, 2024. Web. 30 Apr. 2024. <https://www.definitions.net/definition/coincidence+point>.

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