The Cole–Cole equation is a relaxation model that is often used to describe dielectric relaxation in polymers. It is given by the equation ε ∗ ( ω ) =...
5 KB (678 words) - 09:24, 12 November 2023
The Cole-Davidson equation is a model used to describe dielectric relaxation in glass-forming liquids. The equation for the complex permittivity is ε...
3 KB (399 words) - 13:18, 27 October 2023
An equation of state introduced by R. H. Cole p = B [ ( ρ ρ 0 ) γ − 1 ] , {\displaystyle p=B\left[\left({\frac {\rho }{\rho _{0}}}\right)^{\gamma }-1\right]...
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Burgers' equation, for which Cole later found a clever transformation to solve it. Cole continued to delve deeper into this topic for the next decade. Cole took...
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being measured. Several references in the literature use a form of the Cole equation written in terms of impedance instead of a complex permittivity. The...
11 KB (1,378 words) - 08:54, 13 September 2024
The Cole–Hopf transformation is a change of variables that allows to transform a special kind of parabolic partial differential equations (PDEs) with...
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Havriliak–Negami relaxation (redirect from Havriliak-Negami equation)
the Havriliak–Negami equation reduces to the Cole–Cole equation, for α = 1 {\displaystyle \alpha =1} to the Cole–Davidson equation. The storage part ε...
8 KB (1,186 words) - 16:34, 12 November 2023
Burgers' equation or Bateman–Burgers equation is a fundamental partial differential equation and convection–diffusion equation occurring in various areas...
17 KB (2,792 words) - 01:30, 3 December 2024
In mathematics and physics, Laplace's equation is a second-order partial differential equation named after Pierre-Simon Laplace, who first studied its...
33 KB (5,069 words) - 00:29, 16 December 2024
response of the main dielectric models, such as the Cole–Cole equation, the Cole–Davidson equation, and the Havriliak–Negami relaxation, for small time...
18 KB (2,268 words) - 09:46, 14 December 2024
Dielectric (redirect from Debye equation)
time. Cole–Cole equation This equation is used when the dielectric loss peak shows symmetric broadening. Cole–Davidson equation This equation is used...
37 KB (4,758 words) - 12:27, 4 October 2024
to Woman is the fifth studio album by American singer-songwriter Keyshia Cole. It was released on November 19, 2012, through Geffen Records and Interscope...
81 KB (6,110 words) - 20:38, 20 November 2024
In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. In applications, the functions...
29 KB (3,621 words) - 01:04, 22 December 2024
response of the main dielectric models, such as the Cole-Cole_equation, the Cole-Davidson_equation, and the Havriliak–Negami_relaxation, for small time...
6 KB (944 words) - 19:12, 8 December 2023
In mathematics, a parametric equation expresses several quantities, such as the coordinates of a point, as functions of one or several variables called...
20 KB (2,909 words) - 16:42, 9 December 2024
mathematics and physics, the heat equation is a certain partial differential equation. Solutions of the heat equation are sometimes known as caloric functions...
58 KB (9,837 words) - 03:02, 16 December 2024
The Purnell equation is an equation used in analytical chemistry to calculate the resolution Rs between two peaks in a chromatogram. R s = N 2 4 ( α −...
1 KB (151 words) - 17:20, 14 December 2020
Margaret Buchanan Cole (August 18, 1885 – September 10, 1959) was an American mathematician and was one of the few women to achieve a PhD in mathematics...
6 KB (589 words) - 20:11, 22 November 2024
In chemistry and biochemistry, the Henderson–Hasselbalch equation pH = p K a + log 10 ( [ Base ] [ Acid ] ) {\displaystyle {\ce {pH}}={\ce {p}}K_{{\ce...
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A Million Lights (redirect from Girl in the Mirror (Cheryl Cole song))
June 2012 through Fascination Records. Following her divorce from Ashley Cole, this is Cheryl's first album to be released under the mononym Cheryl, dropping...
59 KB (5,002 words) - 14:42, 6 July 2024
In mathematics, an integro-differential equation is an equation that involves both integrals and derivatives of a function. The general first-order, linear...
6 KB (828 words) - 02:02, 13 November 2023
In mathematics, a system of linear equations (or linear system) is a collection of two or more linear equations involving the same variables. For example...
36 KB (5,571 words) - 13:44, 25 September 2024
one-dimensional simple harmonic motion, the equation of motion, which is a second-order linear ordinary differential equation with constant coefficients, can be...
15 KB (2,224 words) - 00:42, 28 November 2024
Inseparable may refer to: Inseparable differential equation, an ordinary differential equation that cannot be solved by using separation of variables...
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transition Clausius-Clapeyron equation Oxtoby, D. W; Gillis, H.P., Butler, L. J. (2015).Principles of Modern Chemistry, Brooks Cole. Appendix D. ISBN 978-1305079113...
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2013, Martin Hairer made a breakthrough in solving the KPZ equation by an extension of the Cole–Hopf transformation and constructing approximations using...
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famous for the Goldman equation which he derived for his doctorate degree in 1943 at Columbia University working with Kenneth Cole. In the 1950s, while...
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Green's function number (category Differential equations)
used to uniquely categorize certain fundamental solutions of the heat equation to make existing solutions easier to identify, store, and retrieve. Numbers...
15 KB (1,261 words) - 16:28, 24 June 2024
could not parse. A syntax error can occur or take place, when an invalid equation is being typed on a calculator. This can be caused, for instance, by opening...
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Implicit function (redirect from Implicit equation)
In mathematics, an implicit equation is a relation of the form R ( x 1 , … , x n ) = 0 , {\displaystyle R(x_{1},\dots ,x_{n})=0,} where R is a function...
17 KB (2,204 words) - 19:51, 25 October 2024