Henri Poincaré: Potential of an electric mass distributed on the surface of a sphere (2)

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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

Henri Poincaré: Potential of an electric mass distributed on the surface of a sphere

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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

Henri Poincaré: Solving Dirichlet’s problem

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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

Psychology, Duality and Heterotopy in The Adventures of Pinocchio

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Panteli highlights the psychological aspects of Collodi’s book appealing to Freudian psychoanalysis in literary theory and the use of a model of Freud’s definition of the human psyche. The Adventures of Pinocchio can also be approached through the prism of the philosophy of mind, of the essential questions in this field. In the book, within the limits of the heterotopic experience, several theoretical and ontological questions are explored through an examination of the psychological, emotional and spiritual requirements on the individuals in this space.

Henri Poincaré: Dirichlet problem

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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

Henri Poincaré: Common properties of mathematical physics

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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 theory of elasticity

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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

Henri Poincaré: On the Partial Differential Equations of Mathematical Physics – Law of cooling of an isolated solid body in space

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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

Drobeta Turnu Severin Heavy Water Plant: Construction

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Sfetcu, Nicolae (2023), Drobeta Turnu Severin Heavy Water Plant: Construction, Cunoașterea Științifică, 2:1, DOI: 10.58679/CS96723, https://www.cunoasterea.ro/drobeta-turnu-severin-heavy-water-plant-construction/   Abstract The heavy water plant was established under the name of Combinatul Chimic Drobeta, by Decree 400/16.11.1979, under the Inorganic Products Industrial Center … Read More

Poincaré: On the Partial Differential Equations of Mathematical Physics – Laplace equation for magnets

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Suppose one or more permanent magnets placed in the presence of a perfectly magnetically soft body M. It is a question of finding a function V (the magnetic potential) which satisfies the Laplace equation in all the portion of space … Read More

Heavy water in Romania: Scientific and technological research, and plant design

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Sfetcu, Nicolae, “Heavy water in Romania: Scientific and technological research, and plant design”, in Telework (January 08. 2023), DOI: 10.13140/RG.2.2.36803.68642, https://www.telework.ro/en/heavy-water-in-romania-scientific-and-technological-research-and-plant-design/   Abstract The National Nuclear Program, the studies of specialized institutes and commercial treaties with other countries, based on … Read More

Poincaré: The problem of the pulsating spheres of Bjerknes

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We will first cite the following problem; a liquid is contained in a vessel which it completely fills; various moving solid bodies are immersed in this liquid; we know the movements of these bodies and we suppose that there is … Read More

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