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

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

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

Henri Poincaré, Mathematical physics: 1 – Dirichlet’s problem

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When we consider the various problems of integral calculus which naturally arise when we want to go deeper into the most different parts of physics, it is impossible not to be struck by the analogies that all these problems present … Read More

Inside, and Beyond „Nothingness”

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A brief introduction to the subquantum regime, where the origination of all the observable events and processes of tour physical world can be found. Descending along the scale supplied by the divisibility of Quanta toward increasingly fine structures bearing fractional … Read More

Principia: The Mathematical Principles of Natural Philosophy (Annotated), by Isaac Newton

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The English-language print edition of the most famous scientific book of all time has been published on Amazon: “Principia: The Mathematical Principles of Natural Philosophy (Annotated)”, by Isaac Newton Paperback Edition and Hardcover Edition: https://www.amazon.com/dp/B09M5LJZND For digital versions (PDF, EPUB … Read More

Solids

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The solid state is a state of matter characterized by the absence of freedom between molecules or ions (metals for example). The macroscopic criteria of matter in the solid state are: the solid has its own form; the solid has … Read More

Newton’s second law

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Newton’s second law (the fundamental principle of dynamics, or the fundamental relation of dynamics) designates a law of physics relating the mass of an object, and the acceleration it receives if forces are applied to it. We can also see … Read More

Thermal transfer

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A thermal transfer, more commonly called heat, is, along with work, one of the modes of internal energy exchange between two systems: it is a transfer of thermal energy that takes place outside thermodynamic equilibrium. There are three types of … Read More

Unsolved problems in physics, in theory and observations

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This is a list of some of the great unsolved problems in physics. During the long-term process of evolving theories according to the scientific method, there is an intermediary phase between two periods of stability where questions remain unanswered and … Read More

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