logarithmic series
1Logarithmic distribution — Probability distribution name =Logarithmic type =mass pdf cdf parameters =0 < p < 1! support =k in {1,2,3,dots}! pdf =frac{ 1}{ln(1 p)} ; frac{;p^k}{k}! cdf =1 + frac{Beta p(k+1,0)}{ln(1 p)}! mean =frac{ 1}{ln(1 p)} ; frac{p}{1 p}! median = mode …
2Logarithmic integral function — In mathematics, the logarithmic integral function or integral logarithm li(x) is a special function. It occurs in problems of physics and has number theoretic significance, occurring in the prime number theorem as an estimate of the number of… …
3Series (mathematics) — A series is the sum of the terms of a sequence. Finite sequences and series have defined first and last terms, whereas infinite sequences and series continue indefinitely.[1] In mathematics, given an infinite sequence of numbers { an } …
4logarithmic scale — noun scale on which actual distances from the origin are proportional to the logarithms of the corresponding scale numbers • Hypernyms: ↑scale, ↑scale of measurement, ↑graduated table, ↑ordered series * * * noun : a scale on which actual… …
5logarithmic decrement — noun : the natural logarithm of the decrement for a series of exponentially damped oscillations …
6Convergence of Fourier series — In mathematics, the question of whether the Fourier series of a periodic function converges to the given function is researched by a field known as classical harmonic analysis, a branch of pure mathematics. Convergence is not necessarily a given… …
7Harmonic series (mathematics) — In mathematics, the harmonic series is the divergent infinite series: Its name derives from the concept of overtones, or harmonics in music: the wavelengths of the overtones of a vibrating string are 1/2, 1/3, 1/4, etc., of the string s… …
8Central series — In mathematics, especially in the fields of group theory and Lie theory, a central series is a kind of normal series of subgroups or Lie subalgebras, expressing the idea that the commutator is nearly trivial. For groups, this is an explicit… …
9Dirichlet series — In mathematics, a Dirichlet series is any series of the form where s and an are complex numbers and n = 1, 2, 3, ... . It is a special case of general Dirichlet series. Dirichlet series play a variety of important roles in analytic number theory …
10Mercator series — In mathematics, the Mercator series or Newton–Mercator series is the Taylor series for the natural logarithm: In summation notation, The series converges to the natural logarithm (shifted by 1) whenever −1 < x ≤ 1. Contents …
