Rose–Hulman Institute of Technology
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Board 129: Preparing Engineering Students for Designing and Managing the Future of Work and Work Systems
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The Anisotropy of Deformation Twinning in bcc Materials: Mechanical Loading, Temperature Effect, and Twin–Twin Interaction
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DIAmante TESS AutoRegressive Planet Search (DTARPS). II. Hundreds of New TESS Candidate Exoplanets
No full textThe Basel Problem and Summing Rational Functions over Integers
Full text linkWe provide a general method to evaluate convergent sums of the form ∑_{k∈Z} R(k) where R is a rational function with complex coefficients. The method is entirely elementary and does not require any calculus beyond some standard limits and convergence criteria. It is inspired by a geometric solution to the famous Basel Problem given by Wästlund (2010), so we begin by demonstrating the method on the Basel Problem to serve as a pilot application. We conclude by applying our ideas to prove Euler’s factorisation for sin x which he originally used to solve the Basel Problem