Shen Zheng-yi
Abstract
The equation,C=(lim)n→∞(H_n-lnn),is proved and c is Euler' constant based on the definition of Euler' constant. Five integral equations about Euler' constant are given as well and the equivalence about these equations are proved in detail.
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The equation,C=(lim)n→∞(H_n-lnn),is proved and c is Euler' constant based on the definition of Euler' constant. Five integral equations about Euler' constant are given as well and the equivalence about these equations are proved in detail.
Key concepts: Equivalence (formal languages), Constant (computer programming), Euler's formula, Euler equations, Mathematics, Mathematical analysis, Semi-implicit Euler method, Backward Euler method