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Normalizing Constant ○꠹｜Definition｜1st｜20251122013537-00-⌔
Normalizing constant - Wikipedia
Normalizing constant
In probability theory, a normalizing constant or normalizing factor is used to reduce any nonnegative function whose integral is finite to a probability density function.
For example, a Gaussian function can be normalized into a probability density function, which gives the standard normal distribution. In Bayes’ theorem, a normalizing constant is used to ensure that the sum of all possible hypotheses equals 1. Other uses of normalizing constants include making the value of a Legendre polynomial at 1 and in the orthogonality of orthonormal functions.
A similar concept has been used in areas other than probability, such as for polynomials.
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