mathematics, the Helmholtz equation is the eigenvalue problem for the Laplace operator. It corresponds to the linear partial differential equation: ∇ 2 f = −... 19 KB (2,891 words) - 08:56, 24 April 2024 |
The Gibbs–Helmholtz equation is a thermodynamic equation used to calculate changes in the Gibbs free energy of a system as a function of temperature. It... 9 KB (1,184 words) - 19:03, 12 August 2023 |
Hermann Ludwig Ferdinand von Helmholtz (31 August 1821 – 8 September 1894) was a German physicist and physician who made significant contributions in... 33 KB (3,138 words) - 09:54, 22 March 2024 |
t}}, if one uses Maxwell's Equations to eliminate B, the electromagnetic wave equation reduces to the Helmholtz equation for E: (∇2+k2)E=0,B=−ik∇×E,{\displaystyle... 21 KB (2,921 words) - 13:45, 23 June 2023 |
Acoustic wave equation Bateman transform Electromagnetic wave equation Helmholtz equation Inhomogeneous electromagnetic wave equation Laplace operator... 60 KB (10,120 words) - 14:27, 21 April 2024 |
Fourier optics (section The Helmholtz equation) (\mathbf {r} )e^{i\omega t}} , solving the following equation, known as the Helmholtz equation, is mostly concerned as treating a complex-valued function... 75 KB (12,771 words) - 11:06, 28 March 2024 |
Accelerated aging Eyring equation Q10 (temperature coefficient) Van 't Hoff equation Clausius–Clapeyron relation Gibbs–Helmholtz equation Cherry blossom front –... 21 KB (2,788 words) - 21:20, 24 April 2024 |
Heat equation Wave equation Laplace's equation Helmholtz equation Klein–Gordon equation Poisson's equation Navier-Stokes equation Burgers' equation Types... 50 KB (6,671 words) - 04:27, 24 April 2024 |
to define fundamental equations of state of pure substances. The concept of free energy was developed by Hermann von Helmholtz, a German physicist, and... 22 KB (4,158 words) - 01:50, 14 October 2023 |
is RT-stable), the dynamics of the Kelvin-Helmholtz instability is described by the Taylor–Goldstein equation: ( U − c ) 2 ( d 2 ϕ ~ d z 2 − k 2 ϕ ~ )... 10 KB (997 words) - 10:02, 5 April 2024 |
Gaussian beam (section Lens equation) Fundamentally, the Gaussian is a solution of the axial Helmholtz equation, the wave equation for an electromagnetic field. Although there exist other... 46 KB (6,838 words) - 15:13, 26 March 2024 |
Bessel function (redirect from Bessel differential equation) Helmholtz equation in spherical coordinates. Bessel's equation arises when finding separable solutions to Laplace's equation and the Helmholtz equation in cylindrical... 69 KB (11,225 words) - 14:00, 22 April 2024 |
Mathieu function (redirect from Mathieu equation) Laplace equation in 3 dimensions, and 2) the Helmholtz equation in either 2 or 3 dimensions. Since the Helmholtz equation is a prototypical equation for modeling... 43 KB (8,259 words) - 04:22, 13 January 2024 |
Separation of variables (redirect from Separable differential equation) differential equations with boundary and initial conditions, such as the heat equation, wave equation, Laplace equation, Helmholtz equation and biharmonic... 20 KB (3,415 words) - 23:52, 12 April 2024 |
Functional equation Functional equation (L-function) Constitutive equation Laws of science Defining equation (physical chemistry) List of equations in classical... 5 KB (103 words) - 14:59, 5 February 2024 |
Gibbs free energy (redirect from Free energy equation) dependence of the Gibbs energy for an ideal gas is given by the Gibbs–Helmholtz equation, and its pressure dependence is given by G N = G ∘ N + k T ln p... 33 KB (4,546 words) - 04:07, 8 April 2024 |
from theory of differential equations and scattering theory used for choosing a particular solution to the Helmholtz equation. It was introduced by Arnold... 4 KB (652 words) - 13:27, 23 January 2024 |
\mathbf {B} =\mu _{0}\mathbf {j} }, then it can be turned into the Helmholtz equation for magnetic field: ∇2B=1λs2B{\displaystyle \nabla ^{2}\mathbf {B}... 15 KB (2,013 words) - 02:16, 18 March 2024 |
published his paper on some hydrodynamic basic equations in 1858, which was part of his research on the Helmholtz's theorems describing the motion of fluid in... 42 KB (6,339 words) - 15:02, 23 March 2024 |
below. 11573 Helmholtz Kelvin–Helmholtz mechanism Helmholtz (lunar crater) Gibbs–Helmholtz equation Helmholtz coil Helmholtz condition Helmholtz decomposition... 2 KB (123 words) - 13:34, 28 May 2023 |
dx_{2}\right)_{x_{1}=0}} Margules activity model Darken's equations Gibbs–Helmholtz equation A to Z of Thermodynamics Pierre Perrot ISBN 0-19-856556-9... 12 KB (2,005 words) - 15:17, 16 April 2024 |
thermograms. Clausius–Clapeyron relation Van 't Hoff factor (i) Gibbs–Helmholtz equation Solubility equilibrium Biography on Nobel prize website. Nobelprize... 22 KB (2,893 words) - 17:49, 30 December 2023 |
A Helmholtz coil is a device for producing a region of nearly uniform magnetic field, named after the German physicist Hermann von Helmholtz. It consists... 15 KB (2,238 words) - 20:42, 21 March 2024 |
{LC\;}}={\frac {\ \omega \ }{u}}~.} Each of these two equations is in the form of the one-dimensional Helmholtz equation. In the lossless case, it is possible to show... 32 KB (4,512 words) - 22:01, 20 March 2024 |
from the Helmholtz theorem (also known as the fundamental theorem of vector calculus). The first equation is a pressureless governing equation for the... 97 KB (15,320 words) - 00:11, 7 April 2024 |