👉 Learn how to verify the sum and difference of two angles trigonometric identities using the sum/difference formulas. To ...

Abstract: The problem of finding the minimizer of a sum of convex functions is central to the field of distributed optimization. Thus, it is of interest to understand how that minimizer is related to ...

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👉 Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of ...

Abstract: We consider the problem of two-player zero-sum games. This problem is formulated as a min–max Markov game in this article. The solution of this game, which is the min–max payoff, starting ...

aInstitute of Cardiovascular and Medical Sciences, University of Glasgow, 126 University Avenue, Glasgow G12 8TA, United Kingdom bGlasgow Institute of Health and Wellbeing, University of Glasgow, ...

Introduction Observational studies suggested lung function is inversely associated with cardiovascular disease (CVD) although these studies could be confounded. We conducted a two sample Mendelian ...