heat equation sentence in Hindi
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- For instance, one might study solutions of the heat equation in an idealised semi-infinite metal bar.
- In probability theory, the heat equation is connected with the study of Brownian motion via the Fokker Planck equation.
- He was the first mathematician to apply heat equation methods to the proof of the Index Theorem for elliptic operators.
- Recall too that solutions of the heat equation can be found by assuming a scaling " Ansatz ".
- The Heat equation is very useful in this . talk ) 21 : 32, 25 August 2007 ( UTC)
- For example, consider the following initial / boundary value problem for the heat equation on the spatial interval and times:
- In history, the heat equation proposed by Fourier in 1822 has been applied to investigating a temperature distribution in materials.
- With a constant diffusion coefficient, the anisotropic diffusion equations reduce to the heat equation which is equivalent to Gaussian blurring.
- The formula for the Ricci flow is an imitation of the heat equation which describes the way heat flows in a solid.
- Joseph Fourier introduced the transform in his study of heat transfer, where Gaussian functions appear as solutions of the heat equation.
- The solution for a point source for the heat equation given above is an example of the use of a Fourier integral.
- The heat equation is, technically, in violation of special relativity, because its solutions involve instantaneous propagation of a disturbance.
- Given a block of ice, one can solve the heat equation given appropriate initial and boundary conditions to determine its temperature.
- The Weierstrass transform is intimately related to the heat equation ( or, equivalently, the diffusion equation with constant diffusion coefficient ).
- Examples include approaches to solving the heat equation, Schr�dinger equation, wave equation, and other partial differential equations including a time evolution.
- "Transient conduction " ( see Heat equation ) occurs when the temperature within an object changes as a function of time.
- An important practical example is Fourier's law ( heat flux is proportional to temperature gradient ) to arrive at the heat equation.
- Burgers'equation can notably be converted to a heat equation through a nonlinear substitution, as suggested by E . Hopf in 1950.
- This is known in other fields as the diffusion equation or heat equation, it is a parabolic partial differential equation ( PDE ).
- :There is a specialised description, the heat equation, but it is probably more complex than what you're looking for.
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