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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]...

called Poisson's equation, a generalization of Laplace's equation. Laplace's equation and Poisson's equation are the simplest examples of elliptic partial...

heat equation is a certain partial differential equation. Solutions of the heat equation are sometimes known as caloric functions. The theory of the heat...

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...

fluid mechanics, the Tait equation is an equation of state, used to relate liquid density to hydrostatic pressure. The equation was originally published...

time. Cole–Cole equation This equation is used when the dielectric loss peak shows symmetric broadening. Cole–Davidson equation This equation is used...

+\varphi ).} The solution of original universal oscillator equation is a superposition (sum) of the transient and steady-state solutions: q ( τ ) = q t...

an autonomous system or autonomous differential equation is a system of ordinary differential equations which does not explicitly depend on the independent...

interested only in the bound state solutions of the Schrödinger equation, one looks for ψ E {\displaystyle \psi _{E}} within the space of square integrable functions...

Glen (2012). Descriptive Inorganic, Coordination, and Solid-State Chemistry. Brooks/Cole, Cengage Learning. p. 330. ISBN 978-0-8400-6846-0. Zumdahl, Steven;...

\gamma )} has the equation r ( φ ) = r 0 sec ⁡ ( φ − γ ) . {\displaystyle r(\varphi )=r_{0}\sec(\varphi -\gamma ).} Otherwise stated ( r 0 , γ ) {\displaystyle...

define a line which is the intersection of the planes. More generally, in n-dimensional space n−1 first-degree equations in the n coordinate variables define...

speeds. The first description of a means of using the Full Potential equations was published by Earll Murman and Julian Cole of Boeing in 1970. Frances Bauer...

mathematical models of signal decay in submarine (underwater) telegraphic cables. The models resembled the partial differential equations used by Fourier...

through an equation using age, sex, height, and weight. Studies of energy metabolism using both methods provide convincing evidence for the validity of the respiratory...

transport equations must be solved to determine the time and spatial response of charges, for example, the Boltzmann equation or the Fokker–Planck equation or...

the basis for network analysis. Both of Kirchhoff's laws can be understood as corollaries of Maxwell's equations in the low-frequency limit. They are...

density. Equation 2 can be solved for the velocity of water in terms of the difference in pressure between the two legs of the manometer. Equation 3 shows...

See Higgs mechanism, standard model. Quantum corrections to Maxwell's equations are expected to result in a tiny nonlinear electric polarization term...

paths for transfer of matter, using this generic balance equation, with respect to the rate of change with time t {\textstyle t} of the extensive quantity...