logarithmic series

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• Logarithmic 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 …   Wikipedia

• Logarithmic 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… …   Wikipedia

• Series (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 } …   Wikipedia

• logarithmic 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… …   Useful english dictionary

• logarithmic decrement — noun : the natural logarithm of the decrement for a series of exponentially damped oscillations …   Useful english dictionary

• Convergence 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… …   Wikipedia

• Harmonic 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… …   Wikipedia

• Central 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… …   Wikipedia

• Dirichlet 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 …   Wikipedia

• Mercator 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 …   Wikipedia

• Lambert series — In mathematics, a Lambert series, named for Johann Heinrich Lambert, is a series taking the form:S(q)=sum {n=1}^infty a n frac {q^n}{1 q^n}It can be resummed formally by expanding the denominator::S(q)=sum {n=1}^infty a n sum {k=1}^infty q^{nk} …   Wikipedia