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Two US high school girls rewrite 2,000 years of mathematics with a new Pythagorean proof once thought untouchable
For centuries, the Pythagorean Theorem has occupied a unique position in mathematics: both elementary and profound. Its ...
Abstract: This article focuses on the conservativeness issue of the existing Lyapunov method for linear time-invariant (LTI) nabla fractional-order systems and proposes a converse Lyapunov theorem to ...
Abstract: In our recent paper [1][2], Lyapunov measure is introduced as a new tool for verifying almost everywhere stability of an invariant set in dynamical systems and continuous mapping. In this ...
We prove general optimal euclidean Sobolev and Gagliardo-Nirenberg inequalities by using mass transportation and convex analysis results. Explicit extremals and the computation of some optimal ...
Neste artigo, apresenta-se a evolução das ideias sobre a quarta dimensão espacial, partindo daquelas que surgem da geometria euclidiana clássica e abordando, em seguida, as que resultam do âmbito das ...
Baudhyana (represntative image (L), In Raphael's fresco The School of Athens, Pythagoras is shown writing in a book as a young man presents him with a tablet showing a diagrammatic representation of ...
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