Abstract: In this work, a new strategy based on dynamic programming is proposed to solve the power flow (PF) problem in radial distribution systems using the backward/forward sweep method (BFSM). The ...

ABSTRACT: We construct matrix strong exponential Diophantine m-tuples of order n . We construct matrix strong exponential Diophantine 540-tuples of order n . We show that matrix strong Diophantine ...

ABSTRACT: We introduce an algorithm which allows us to prove that there exists an infinite number of matrix strong Diophantine 540-tuples with positive integers as entries. We construct matrix ...

A variation of a puzzle called the “pick-up sticks problem” asks the following question: If I have some number of sticks with random lengths between 0 and 1, what are the chances that no three of ...

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openjdk version "1.8.0_202" OpenJDK Runtime Environment (AdoptOpenJDK)(build 1.8.0_202-b08) OpenJDK 64-Bit Server VM (AdoptOpenJDK)(build 25.202-b08, mixed mode ...

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A Fibonacci spiral showing the Golden Ratio (Photo: Altitudevs/Dreamstime) The Fibonacci sequence reveals a hidden order in nature, art, and even the human body, and it is intimately connected to the ...

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Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...