In the mid-19th century, Bernhard Riemann conceived of a new way to think about mathematical spaces, providing the foundation ...

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A $1 million prize awaits anyone who can show where the math of fluid flow breaks down. With specially trained AI systems, ...

Abstract: Accurate power system observability relies on the optimal phasor measurement unit (PMU) placement to minimize costs while ensuring complete state observability. However, modeling the effect ...

ABSTRACT: The purpose of this paper is to introduce a new pivot rule of the simplex algorithm. The simplex algorithm first presented by George B. Dantzig, is a widely used method for solving a linear ...

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Abstract: One application of the compressive sensing (CS) technique in the method of moments involves restructuring matrix equations into a CS model to enhance computational efficiency. However, this ...

Welcome! This is a website documenting my solutions to the exercises in Allen Hatcher's Algebraic Topology. The author has included useful information about the book on the book's download page. See ...

All the UVA Problems I have solved up to date. Mostly C++ unless otherwise stated. BFS, DPS, Flood Fill, Dijakstra's Algorithm, Shortest Path, Heron's Role, Dynamic Programming, Recursion, Longest ...