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Let us calculate, in fact, according to the usual kinematics, the duration of each of the double paths. In view of simplifying the exposition, we will admit that the direction SA of the luminous ray has been chosen so as … Read More
The post Henri Bergson: Half-relativity – Michelson-Morley experiment (2) appeared first on MultiMedia.
The detection of asteroids is an essential aspect of planetary defense and understanding the potential risks they pose to Earth. Astronomers use various methods to detect and track asteroids. Astronomers use telescopes on Earth to scan the night sky for … Read More
The post Vera C. Rubin Observatory detects its first asteroid appeared first on MultiMedia.
The theory of relativity, even “restricted”, is not precisely based on the Michelson-Morley experiment, since it expresses, in a general way, the need to preserve the laws of electromagnetism in an invariable form when passing from one system of reference … Read More
The post Henri Bergson: Half-relativity – Michelson-Morley experiment (1) appeared first on MultiMedia.
Suppose that we propose to find a function F which satisfies Laplace’s equation inside the sphere S and which, at the different points M of the surface of this sphere, take given values V°. The value of this function V … Read More
The post Henri Poincaré: Potential of an electric mass distributed on the surface of a sphere (2) appeared first on MultiMedia.
Such is the present state of the question; let us see now what is the goal that I have in view; what would have been most interesting would have been to replace the current calculation methods with other less defective … Read More
The post Henri Poincaré: Potential of an electric mass distributed on the surface of a sphere appeared first on MultiMedia.
Dirichlet’s problem reduces to the search for Green’s functions. Let’s find a function V which inside a surface S satisfies Laplace’s equation and on this surface takes given values. Suppose that we have found a function U which is finite, … Read More
The post Henri Poincaré: Solving Dirichlet’s problem appeared first on MultiMedia.
The Dirichlet problem is always possible; this principle is known as Dirichlet’s principle and the first proof is due to Riemann. If a function V is subject to taking given values at various points of a certain surface, bounding a … Read More
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This rapid review of the various parts of mathematical physics has convinced us that all these problems, despite the extreme variety of boundary conditions and even differential equations, have, so to speak, a certain air of family which it is … Read More
The post Henri Poincaré: Common properties of mathematical physics appeared first on MultiMedia.
The theory of elasticity offers us more complicated equations, but which do not differ much from the preceding ones. We still have three unknown functions u, v, w, to which I will add the auxiliary function Θ = du/dx + … Read More
The post The theory of elasticity appeared first on Telework.
Suppose we are looking for the law of cooling of an isolated solid body in space. It will be a question of finding a function V satisfying the equation dV/dt = kΔV, and which moreover is given for t = … Read More
The post Henri Poincaré: On the Partial Differential Equations of Mathematical Physics – Law of cooling of an isolated solid body in space appeared first on Telework.