For more than two millennia, mathematicians have produced a growing heap of pi equations in their ongoing search for methods to calculate pi faster and faster. The pile of equatio ...

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Microsoft Math Solver is a free tool that uses AI to recognize both printed and handwritten math. It’s particularly strong with geometric proofs and interactive graphing, and it pulls learning ...

Abstract: The evolution of 5G-advanced (5G-A) systems relies heavily on advanced beamforming technologies to achieve high spectral efficiency and network capacity. Although abundant theoretical ...

Abstract: This paper is concerned with the statistical properties of the Gram matrix W = HH †, where H is a 2 × 2 complex central Gaussian matrix whose elements have arbitrary variances. With such ...