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20 de jun. de 2024 · In mathematics, the gamma function (represented by Γ, the capital letter gamma from the Greek alphabet) is one commonly used extension of the factorial function to complex numbers. The gamma function is defined for all complex numbers except the non-positive integers.
Hace 3 días · The gamma distribution is the maximum entropy probability distribution (both with respect to a uniform base measure and a base measure) for a random variable X for which E[X] = kθ = α/β is fixed and greater than zero, and E[ln X] = ψ(k) + ln θ = ψ(α) − ln β is fixed ( ψ is the digamma function ). [1]
Hace 6 días · Learn about the gamma function, a generalization of the factorial function to nonintegral values, introduced by Euler in the 18th century. Find out its properties, examples, equation, and applications to calculus, differential equations, and statistics.
Hace 6 días · In mathematical physics, the gamma matrices, {,,,} , also called the Dirac matrices, are a set of conventional matrices with specific anticommutation relations that ensure they generate a matrix representation of the Clifford algebra , .
Hace 4 días · Gamma ray, electromagnetic radiation of the shortest wavelength and highest energy. Gamma rays are produced in the disintegration of radioactive atomic nuclei and in the decay of certain subatomic particles. It includes some overlap with X-rays in the electromagnetic spectrum.
6 de jun. de 2024 · Gamma-ray photons are between 10,000 and 10,000,000 times more energetic than the photons of visible light when they originate from radioactive atomic nuclei. Gamma rays with a million million times higher energy make up a very small part of the cosmic rays that reach Earth from supernovae or from other galaxies .
Hace 5 días · TOPICS. Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index New in MathWorld
