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Hace 2 días · In mathematics, the logarithm is the inverse function to exponentiation. That means that the logarithm of a number x to the base b is the exponent to which b must be raised to produce x. For example, since 1000 = 10 3, the logarithm base of 1000 is 3, or log 10 (1000) = 3.
Hace 2 días · In mathematics, the polylogarithm (also known as Jonquière's function, for Alfred Jonquière) is a special function Lis(z) of order s and argument z. Only for special values of s does the polylogarithm reduce to an elementary function such as the natural logarithm or a rational function.
Hace 2 días · All instances of log(x) without a subscript base should be interpreted as a natural logarithm, commonly notated as ln(x) or log e (x). In mathematics , the prime number theorem ( PNT ) describes the asymptotic distribution of the prime numbers among the positive integers.
Hace 2 días · The logarithm of the gamma function satisfies the following formula due to Lerch: log Γ ( z ) = ζ H ′ ( 0 , z ) − ζ ′ ( 0 ) , {\displaystyle \log \Gamma (z)=\zeta _{H}'(0,z)-\zeta '(0),}
- Calculus, mathematical analysis, statistics, physics
Hace 1 día · A right triangle with sides relative to an angle at the point. Inverse trigonometric functions are useful when trying to determine the remaining two angles of a right triangle when the lengths of the sides of the triangle are known. Recalling the right-triangle definitions of sine and cosine, it follows that.
Hace 5 días · Most formulas involving relative entropy hold regardless of the base of the logarithm. Various conventions exist for referring to in words. Often it is referred to as the divergence between P and Q, but this fails to convey the fundamental asymmetry in the relation.
Hace 2 días · In probability theory and statistics, the binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a sequence of n independent experiments, each asking a yes–no question, and each with its own Boolean -valued outcome: success (with probability p) or failure (with probability ).
