geometry and the theory of complex manifolds, a logarithmic differential form is a differential form with poles of a certain kind. The concept was introduced...

A logarithmic spiral, equiangular spiral, or growth spiral is a self-similar spiral curve that often appears in nature. The first to describe a logarithmic...

In mathematics, specifically in calculus and complex analysis, the logarithmic derivative of a function f is defined by the formula f ′ f {\displaystyle...

differentiation Logarithmic distribution Logarithmic form Logarithmic graph paper Logarithmic growth Logarithmic identities Logarithmic number system Logarithmic scale...

the log semiring. Logarithmic one-forms df/f appear in complex analysis and algebraic geometry as differential forms with logarithmic poles. The polylogarithm...

{\displaystyle K_{\text{a}}=\mathrm {\frac {[A^{-}][H^{+}]}{[HA]}} ,} or by its logarithmic form p K a = − log 10 ⁡ K a = log 10 ⁡ [ HA ] [ A − ] [ H + ] {\displaystyle...

signum logarithmic function shown above. All of these antiderivatives can be derived using integration by parts and the simple derivative forms shown above...

canonical divisor of X. A logarithmic 1-form on a log pair (X,D) is allowed to have logarithmic singularities of the form d log(z) = dz/z along components...

{\gamma }}^{n}} The Ostwald and de Waele equation can be written in a logarithmic form: log ⁡ ( τ ) = log ⁡ ( K ) + n log ⁡ ( γ ˙ ) {\displaystyle \log(\tau...

functions like the logarithmic sine, logarithmic cosine, logarithmic secant, logarithmic cosecant, logarithmic tangent and logarithmic cotangent. The word...

form or, more commonly, in polar form. The S-parameter magnitude may be expressed in linear form or logarithmic form. When expressed in logarithmic form...

higher-dimensional analogue available, using the Poincaré residue. Logarithmic form "Abelian differential", Encyclopedia of Mathematics, EMS Press, 2001...

integration Morera's theorem Nachbin's theorem Residue at infinity Logarithmic form Whittaker & Watson 1920, p. 112, §6.1. Whittaker & Watson 1920, p. 125...

combining the equations above yields the approximation formula in its logarithmic form: ln ⁡ ( n ! ) = n ln ⁡ ( n e ) + 1 2 ln ⁡ n + y + ∑ k = 2 m ( − 1 )...

In mathematics, many logarithmic identities exist. The following is a compilation of the notable of these, many of which are used for computational purposes...

substituted into the link budget equation above, the result is the logarithmic form of the Friis transmission equation. In some cases, it is convenient...

Lerch (1897) and rediscovered by Chowla and Selberg (1949, 1967). In logarithmic form, the Chowla–Selberg formula states that in certain cases the sum w...

ISBN 978-0-12-074350-6, MR 0498417 Baker, A.; Wüstholz, G. (1993), "Logarithmic forms and group varieties", Journal für die reine und angewandte Mathematik...

and logarithmic operations. "EL" stands both for "exponential–logarithmic" and as an abbreviation for "elementary". Whether a number is a closed-form number...

is the mean density of the ith sample and a and b are constants. In logarithmic form log ⁡ s i 2 = log ⁡ a + b log ⁡ m i {\displaystyle \log s_{i}^{2}=\log...

dissociation constant, where the symbol p denotes a cologarithm. The logarithmic form of the equilibrium constant equation is pKw = pH + pOH. The dependence...

conditions lead to the Bethe ansatz equations or simply Bethe equations. In logarithmic form the Bethe ansatz equations can be generated by the Yang action. The...

_{12}.\end{aligned}}} McCaw refers to these equations as being in "logarithmic form", by which he means that all the trigonometric terms appear as products;...

choices: increasing the number of choices will increase the decision time logarithmically. The Hick–Hyman law assesses cognitive information capacity in choice...

and      B is the channel bandwidth. The equivalent expression in logarithmic form (dB): CNR dB = 10 log 10 ⁡ ( E b N 0 ) + 10 log 10 ⁡ ( f b B ) {\displaystyle...

science and engineering, a semi-log plot/graph or semi-logarithmic plot/graph has one axis on a logarithmic scale, the other on a linear scale. It is useful...

correspondences). Brumer–Stark conjecture E7½ Hodge–de Rham spectral sequence Logarithmic form Kodaira vanishing theorem Moduli of algebraic curves Motive (algebraic...

to study semistable schemes, and in particular the notion of logarithmic differential form and the related Hodge-theoretic concepts. This idea has applications...

late 1930s he developed and exhibited a style of painting based on a logarithmic form of anamorphic projection which he called "siderealism". This work appears...

idea; for example, for monomials in several real numbers, take the logarithmic form and consider how small it can be. Another reason is to find a possible...