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-> Science -> General -> MathematicsIn number theory, the Elkies trinomial curves are certain hyperelliptic curves constructed by Noam Elkies which have the property that rational points on them correspond to trinomial polynomials giving an extension of Q with particular Galois groups.
One curve, C168, gives Galois group PSL(2,7) from a polynomial of degree seven, and the other, C1344, gives Galois group AL(8), the semidirect product of a 2-elementary group of order eight acted on by PSL(2, 7), giving a transitive... -> Science -> General -> Physics -> Fluid mechanicsBy using a third-order CIP scheme in a semi-Lagrangian computation, we can evolve the fluid density and local velocity in time with a well-chosen collision operator. Euler made important discoveries in fields as diverse as calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function. He is also renowned for his work in mechanics, optics, and astronomy.Tagged as Theory, Water, Fluid, Cip, Formula, Physics, Millenium, Price, Million, Dollar, Clay, Institute.
-> Science -> General -> Physics -> RelativityThe formula was derived by Albert Einstein, who arrived at it in 1905 in the paper "Does the inertia of a body depend upon its energy-content?", one of his Annus Mirabilis ("Miraculous Year") Papers. While Einstein was not the first to propose a mass–energy relationship, and various similar formulas appeared before Einstein's theory, Einstein was the first to propose that the equivalence of mass and energy is a general principle, a consequence of the symmetries of space and time.
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