Results 161 to 166 of about 606 (166)

Euler’s Polyhedron Formula in mizar

2010
Euler's polyhedron formula asserts for a polyhedron p that V - E + F = 2, where V , E, and F are, respectively, the numbers of vertices, edges, and faces of p. Motivated by I. Lakatos's philosophy of mathematics as presented in his Proofs and Refutations, in which the history of Euler's formula is used as a case study to illustrate Lakatos's views, we ...
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The Euler-MacLaurin Sum Formula

1973
Let f(x) be continuous with as many continuous derivatives as required. Noticing B′1(x) =l we obtain through integration by parts $$\int\limits_0^1 {f(x)\,dx\, = \,[{B_1}(x)f(x)]_0^1 - } \int\limits_0^1 {{B_1}(x)f'(x)dx.} $$
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Euler's Formula and Euler's Theorem

2019
Gove Effinger, Gary L. Mullen
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A formula of Euler

1993
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2099. The Euler-Savary Formula

The Mathematical Gazette, 1949
R. Buckley, E. V. Whitfield
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Euler’s derivation of the Euler–Maclaurin summation formula

2008
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