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Longer titles found: Symmetric logarithmic derivative (view)

searching for Logarithmic derivative 21 found (71 total)

Arithmetic function (7,555 words) [view diff] exact match in snippet view article find links to article

} Let D(n) be the arithmetic derivative. Then the logarithmic derivative D ( n ) n = ∑ p prime p ∣ n v p ( n ) p . {\displaystyle {\frac

Wiener–Ikehara theorem (413 words) [view diff] exact match in snippet view article find links to article

\sum _{n\leq X}a(n)\sim {\frac {c}{b}}X^{b}.} Applying this to the logarithmic derivative of the Riemann zeta function, where the coefficients in the Dirichlet

List of lemmas (525 words) [view diff] exact match in snippet view article find links to article

Hartogs's lemma (several complex variables) Jordan's lemma Lemma on the Logarithmic derivative Schwarz lemma Riemann–Lebesgue lemma Borel's lemma (partial differential

Duration (finance) (6,527 words) [view diff] exact match in snippet view article

as the percentage derivative of price with respect to yield (the logarithmic derivative of bond price with respect to yield). Modified duration applies

Artin–Hasse exponential (1,067 words) [view diff] exact match in snippet view article find links to article

the Möbius function. This identity can be verified by showing the logarithmic derivative of the two sides are equal and that both sides have the same constant

Differential Galois theory (1,635 words) [view diff] exact match in snippet view article find links to article

is called a logarithmic extension of F. This has the form of a logarithmic derivative. Intuitively, t can be thought of as the logarithm of some element

Selberg class (1,908 words) [view diff] exact match in snippet view article find links to article

Conjectures 1 and 2 imply certain growth rates for the function and its logarithmic derivative. The functions in S also satisfy an analogue of the prime number

Aberth method (1,288 words) [view diff] exact match in snippet view article find links to article

{F(x)}{F'(x)}}} in the univariate case is the reciprocal value to the logarithmic derivative F ′ ( x ) F ( x ) = d d x ln ⁡ | F ( x ) | = d d x ( ln ⁡ | p (

Fundamental thermodynamic relation (2,674 words) [view diff] exact match in snippet view article find links to article

E}}\right)_{x}=\left({\frac {\partial (\Omega X)}{\partial E}}\right)_{x}\,} The logarithmic derivative of Ω {\displaystyle \Omega } with respect to x is thus given by:

Apéry's constant (3,021 words) [view diff] exact match in snippet view article find links to article

(1979). Blagouchine (2014). Haber, Howard E. (Winter 2010), "The logarithmic derivative of the Gamma function" (PDF), Physics 116A lecture notes, University

Arithmetic derivative (2,194 words) [view diff] exact match in snippet view article find links to article

… {\displaystyle 0,0,1,1,4,1,5,1,12,6,7,1,16,1,9,\ldots } The logarithmic derivative ld ⁡ ( x ) = D ( x ) x = ∑ p ∈ P p ∣ x ν p ( x ) p {\displaystyle

Grüneisen parameter (1,854 words) [view diff] exact match in snippet view article find links to article

{\displaystyle i} can then be defined as (the negative of) the logarithmic derivative of the corresponding frequency ω i {\displaystyle \omega _{i}} :

Convenient vector space (4,011 words) [view diff] exact match in snippet view article find links to article

g\in C^{\infty }(\mathbb {R} ,G)} in the Lie group whose right logarithmic derivative is X {\displaystyle X} . It turn out that g {\displaystyle g} is

Trigonometric functions (10,740 words) [view diff] exact match in snippet view article find links to article

decomposition of cot ⁡ z {\displaystyle \cot z} given above, which is the logarithmic derivative of sin ⁡ z {\displaystyle \sin z} . From this, it can be deduced

Low-energy electron diffraction (4,824 words) [view diff] exact match in snippet view article find links to article

is the one proposed by Pendry. It is expressed in terms of the logarithmic derivative of the intensity: L ( E ) = I ′ / I . {\displaystyle {\begin{aligned}L(E)&=I'/I

Riemann zeta function (10,674 words) [view diff] exact match in snippet view article find links to article

ISBN 0-387-98308-2. Raoh, Guo (1996). "The distribution of the logarithmic derivative of the Riemann zeta function". Proceedings of the London Mathematical

Particular values of the Riemann zeta function (3,582 words) [view diff] exact match in snippet view article find links to article

"equation" ∞ ! = 2 π {\displaystyle \infty !={\sqrt {2\pi }}} . From the logarithmic derivative of the functional equation, 2 ζ ′ ( 1 / 2 ) ζ ( 1 / 2 ) = log ⁡

Second law of thermodynamics (15,472 words) [view diff] exact match in snippet view article find links to article

{\partial \left(\Omega X\right)}{\partial E}}\right)_{x}\,} The logarithmic derivative of Ω {\displaystyle \Omega } with respect to x is thus given by:

History of mathematics (16,226 words) [view diff] exact match in snippet view article find links to article

261–279. Bradley, David M. (2005-05-07), Ramanujan's formula for the logarithmic derivative of the gamma function, arXiv:math/0505125, Bibcode:2005math....

Aquilanti–Mundim deformed Arrhenius model (4,903 words) [view diff] exact match in snippet view article find links to article

E a ( T ) {\displaystyle E_{a}(T)} function when written as the logarithmic derivative of the rate constants with respect to β = 1 R T {\displaystyle \beta

Synchronous frame (6,195 words) [view diff] exact match in snippet view article find links to article

sum ϰ α α {\displaystyle \varkappa _{\alpha }^{\alpha }} is the logarithmic derivative of the determinant γ ≡ |γαβ| = − g: Then for the complete set of