What does characterisic function mean?
Definitions for characterisic function
char·ac·ter·isic func·tion
This dictionary definitions page includes all the possible meanings, example usage and translations of the word characterisic function.
Princeton's WordNet
characteristic curve, characterisic functionnoun
(electronics) graph showing how a particular characteristic of a device varies with other parameters
ChatGPT
characterisic function
In mathematics, a characteristic function is a function that takes distinct values, typically 1 or 0, to indicate the presence or absence of a particular property. The general mathematical definition varies based on the context. Three common uses are as follows: 1. In probability theory and statistics, the characteristic function of any real-valued random variable describes the probability distribution of that variable. For a random variable X, the characteristic function is defined as E[e^(itX)], where E is the expected value, i is the imaginary unit, t is a real number, and X denotes possible values of the random variable. 2. In group theory, a branch of abstract algebra, a characteristic function is a function on a group that takes the value 1 for elements in a specified subgroup, and 0 otherwise. 3. In the theory of Fourier series, a characteristic function is a function from a set S to the set of real numbers or complex numbers. The function takes the value 1 on S and 0 on its complement. In essence, it "characterizes" the set S within a larger set. These definitions maintain the general idea of a function that represents a certain characteristic, distinguishing elements that possess the characteristic from those that do not. However, the specifics of what this means changes based on the mathematical setting.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of characterisic function in Chaldean Numerology is: 1
Pythagorean Numerology
The numerical value of characterisic function in Pythagorean Numerology is: 3
Translations for characterisic function
From our Multilingual Translation Dictionary
- خصوصیت کی تقریبUrdu
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"characterisic function." Definitions.net. STANDS4 LLC, 2024. Web. 18 Apr. 2024. <https://www.definitions.net/definition/characterisic+function>.
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