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Helmholtz
Helmholtz Physics. (ˈhɛlmhɒlts) The name of H. L. F. von Helmholtz (1821–1894), German scientist, used attributively with reference to various devices and theories invented by him. Also Helmˈholtzian a.1890 W. James Princ. Psychol. II. xx. 170 The Helmholtzian theory is probably not the last word in... Oxford English Dictionary
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Helmholtz (disambiguation)
Helmholtz most commonly refers to Hermann von Helmholtz (1821-1894), German physician and physicist. Helmholtz or Helmholz may also refer to: Places named after the German physicist: Helmholtz (lunar crater) Helmholtz (Martian crater) Helmholtz Association wikipedia.org
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9.5: Gibbs-Helmholtz Relation (Gibbs Energy-Chang)
At a constant temperature and pressure, the Gibbs Energy of a system can be described as. ΔGsys = ΔHsys- TΔSsys (9.5.3) (9.5.3) Δ G s y s = Δ H s y s - T Δ S s y s. This equation can be used to determine the spontaneity of the process. If ΔG sys ≤ 0, the process is spontaneous. If ΔG sys = 0, the system is at equilibrium.
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11573 Helmholtz
The asteroid was named for German physicist Hermann von Helmholtz. The lunar crater Helmholtz as well as the crater Helmholtz on Mars are also named in his honor. wikipedia.org
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Helmholtz equation in Laplace equation of cylinder I have a cylinder of height $H$ and radius $a$. I am about to find $u(\rho, \phi, z)$ that solves the equation $$\Delta u = 0 $$ with the given boundary conditions $...
Yes, if $w$ is not-identically-zero function with zero boundary values in some domain $D$, and $\Delta w+\lambda w=0$ holds in $D$, then you can conclude $\lambda>0$. Proof: $$0 = \int_D w(\Delta w+\lambda w) = \int_D (-|\nabla w|^2 + \lambda w^2)$$ where the first term was integrated by parts. If $...
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Helmholtz theorem
There are several theorems known as the Helmholtz theorem: Helmholtz decomposition, also known as the fundamental theorem of vector calculus Helmholtz Helmholtz–Thévenin theorem wikipedia.org
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Uniqueness of Helmholtz decomposition Helmholtz theorem states that given a smooth vector field $\mathbf{H}$, there are a scalar field $\phi$ and a vector field $\mathbf{G}$ such that $\mathbf{H}=\nabla \phi +\nabla ...
The decomposition is not unique without further conditions. You can add linear terms to $\phi$ and $\mathbf G$ that yield constant contributions to $\mathbf H$ that cancel: $$ \begin{eqnarray} \phi &\to& \phi + z\;, \\\ \nabla\phi &\to& \nabla\phi + \mathbf e_z\;, \\\ \mathbf G &\to& \mathbf G + \fr...
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Helmholtz machine
The Helmholtz machine (named after Hermann von Helmholtz and his concept of Helmholtz free energy) is a type of artificial neural network that can account networks Hermann von Helmholtz wikipedia.org
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helmholtz decomposition - Can't follow steps I'm trying to follow the proof for the derivation of helmholtz decomposition from wikipedia, however, I can't figure out how the negative sign changes into a positive. If...
Its because $$\nabla \times (vf) = \nabla f \times v = -v \times \nabla f$$ for any constant vector $v$. In your case, $v=F(r')$ in the last integral.
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Helmholtz reciprocity
The Helmholtz reciprocity principle describes how a ray of light and its reverse ray encounter matched optical adventures, such as reflections, refractions Helmholtz's Handbuch der physiologischen Optik of 1856 as cited by Gustav Kirchhoff and by Max Planck. wikipedia.org
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Is it possible to explicitly solve the inhomogeneous Helmholtz equation in a rectangle? Consider the following Helmholtz equation in a rectangle $\Omega$ and Neumann boundary conditions: $$ \begin{align} \Delta u + k^...
If you know a free-space solution of $$ \Delta v+k^2v=\delta_y $$ then you can solve for $w$ such that $$ \Delta w+k^2w=0 \\\ \frac{\partial w}{\partial n}=\frac{\partial v}{\partial n} $$ and the solution you want will be $v-w$.
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Helmholtz coil
A Helmholtz coil is a device for producing a region of nearly uniform magnetic field, named after the German physicist Hermann von Helmholtz. References External links On-Axis Field of an Ideal Helmholtz Coil Axial field of a real Helmholtz coil pair Helmholtz-Coil Fields by Franz Kraft wikipedia.org
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solving PDE equation like Helmholtz equation in 1D In my project I need to solve following equation analytically could anyone help me ? As I read the other questions, my equation seems like Helmholtz equation $$ \tria...
Just use the definition of the Laplace-operator in 1-D you get that: \begin{align*} u''(x) = k_c u(x) \end{align*} This equation has three possible solutions depending on the sign of $k_c$- If $k_c>0$ the solution is: \begin{align*} u(x) = C_1e^{\sqrt{k_c}x}+C_2 e^{-\sqrt{k_c}x} \end{align*} Now ins...
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推荐!Helmholtz Association of German Research Centres，重磅Nature ...
Feb 8, 2024本研究针对格陵兰冰川中最长的冰流-东北格陵兰冰川进行了研究 ...
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Helmholtz-Zentrum Potsdam - ResearchGate
Hui TANG, Group Leader | Cited by 544 | of Helmholtz-Zentrum Potsdam - Deutsches GeoForschungsZentrum GFZ, Potsdam (GFZ) | Read 54 publications | Contact Hui TANG
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