uniqueness theorem
The electromagnetism uniqueness theorem states that providing boundary conditions for Maxwell's equations uniquely fixes a solution for those equations. ,In the theory of partial differential equations, Holmgren's uniqueness theorem, or simply Holmgren's theorem, named after the Swedish mathematician Erik Albert ... ,Let us now examine this theorem in detail. Consider a volume $V$ bounded by some surface $S$ . Suppose that we are given the charge density $-rho$ ... ,We see that the electric field differs from zero although charges in the volume V are surrounded by a conductor. At the same time, according to the uniqueness ... ,In mathematics, a uniqueness theorem is a theorem asserting the uniqueness of an object satisfying certain conditions, or the equivalence of all objects satisfying the said conditions. Examples of uniqueness theorems include: ... Picard–Lindelöf theorem, ,A theorem, also called a unicity theorem, stating the uniqueness of a mathematical object, which usually means that there is only one object fulfilling given ... ,The uniqueness theorem for Poisson's equation states that, for a large class of boundary conditions, the equation may have many solutions, but the gradient of ...
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uniqueness theorem 相關參考資料
Electromagnetism uniqueness theorem - Wikipedia
The electromagnetism uniqueness theorem states that providing boundary conditions for Maxwell's equations uniquely fixes a solution for those equations. https://en.wikipedia.org Holmgren's uniqueness theorem - Wikipedia
In the theory of partial differential equations, Holmgren's uniqueness theorem, or simply Holmgren's theorem, named after the Swedish mathematician Erik Albert ... https://en.wikipedia.org The uniqueness theorem - Richard Fitzpatrick
Let us now examine this theorem in detail. Consider a volume $V$ bounded by some surface $S$ . Suppose that we are given the charge density $-rho$ ... http://farside.ph.utexas.edu Uniqueness Theorem - an overview | ScienceDirect Topics
We see that the electric field differs from zero although charges in the volume V are surrounded by a conductor. At the same time, according to the uniqueness ... https://www.sciencedirect.com Uniqueness theorem - Wikipedia
In mathematics, a uniqueness theorem is a theorem asserting the uniqueness of an object satisfying certain conditions, or the equivalence of all objects satisfying the said conditions. Examples of uni... https://en.wikipedia.org Uniqueness Theorem -- from Wolfram MathWorld
A theorem, also called a unicity theorem, stating the uniqueness of a mathematical object, which usually means that there is only one object fulfilling given ... https://mathworld.wolfram.com Uniqueness theorem for Poisson's equation - Wikipedia
The uniqueness theorem for Poisson's equation states that, for a large class of boundary conditions, the equation may have many solutions, but the gradient of ... https://en.wikipedia.org |