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←,< https://shinichiwanko2000.livedoor.blog/archives/26923104.html >2024年10月28日 /wiki/Hopf_algebra

In probability theory, the support of a probability distribution can be loosely thought of as the closure of the set of possible values of a random variable having that distribution. There are, however, some subtleties to consider when dealing with general distributions defined on a sigma algebra, rather than on a topological space.
More formally, if X : Ω → R  is a random variable on ( Ω , F , P )  then the support of X  is the smallest closed set R _X ⊆ R  such that P ( X ∈ R _X ) = 1.
In practice however, the support of a discrete random variable  is often defined as the set R _X = { x ∈ R : P ( X = x ) > 0 }  and the support of a continuous random variable X  is defined as the set R _X = { x ∈ R : f _X ( x ) > 0 }  where f _X ( x )  is a probability density function of X  (the set-theoretic support ).
Note that the word support can refer to the logarithm of the likelihood of a probability density function.


In mathematics, the support of a real-valued function f  is the subset of the function domain containing the elements which are not mapped to zero.ｷﾞｮｳﾚﾂ?!のなかみのことカナ？・？・、・, ,   If the domain of f  is a topological space, then the support of f  is instead defined as the smallest closed set containing all points not mapped to zero. This concept is used widely in mathematical analysis.
< https://en.wikipedia.org/wiki/Support_%28mathematics%29 >/wiki/support_(mathematics )
{集合に、あるいは圏の対象に構造を決めることで、その構造に対する準同型が構造を保つ写像として定義,(matrices行列だからisn't itネ! ?)・・　数学の扱う対象は、基本的には全て構造として表すことができる.< https://ja.wikipedia.org/wiki/%E5%8F%B0%E9%9B%86%E5%90%88 >/wiki/gathering at the table(mathematical structure )台集合 }​​​​​​​​

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2024年11月21日 Titchmarsh convolution theoremティッチマーシュの畳み込み定理（英語版 ）---/wiki/Titchmarsh_convolution_theorem



















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