Results 281 to 290 of about 6,793 (328)

The Euler-Maclaurin Formula

The Mathematical Gazette, 1949
The most surprising thing about this formula is its use of the Bernoulli numbers, and it is natural to ask why they appear. The answer is that it is not the B ’s which insist on entry, but the numbers A r
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On Euler trapezoid formulae

Applied Mathematics and Computation, 2001
Modified versions of the Euler trapezoid formula, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or functions in L_p-spaces, are given. The results are applied to quadrature formulae.
Dedic, L., Matic, M., Pecaric, Josip
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The Euler tiling formula

International Journal of Mathematical Education in Science and Technology, 2001
A formula for tilings of a rectangle, analogous to Euler's formula for polyhedra, is discussed, with particular reference to how it may be used in a classroom investigation.
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Euler’s method for weighted integral formulae

Applied Mathematics and Computation, 2008
We consider the weighted quadrature formulae using some Euler type identities. The results are applied to obtain some error estimates for the Chebyshev- Gauss formulae of the first and the second kind.
Pečarić, Josip, Ribičić Penava, Mihaela, Vukelić, Ana   +2 more
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Elliptical Harmonic Motion and Euler–Savary Formula

Advances in Applied Clifford Algebras, 2015
In the present paper, the notion of elliptical harmonic motion in terms of elliptical numbers is introduced. The relationships between the absolute, the relative, and the sliding velocities and accelerations of the motion are found. The canonical relative system is defined and the Euler-Savary formula for the motion is obtained.
Nuno T. Sa Pereira, Ersoy, Soley
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On Euler’s stretching formula in continuum mechanics

Acta Mechanica, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. Romano, BARRETTA, RAFFAELE
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An Euler Summation Formula

The American Mathematical Monthly, 1936
(1936). An Euler Summation Formula. The American Mathematical Monthly: Vol. 43, No. 1, pp. 9-21.
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General Euler-Simpson formulae

Indian journal of mathematics, 2005
We consider general Simpson formulae, using some Euler-type identities. A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or $R$-integrable functions, are proved.
Vukelić, Ana, Franjić, Iva, Pečarić, Josip   +2 more
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A Product Formula for Euler's Totient

Bulletin of the London Mathematical Society, 1985
The author generalizes some results about the intersections (or projections) of given integral lattices with (or into) rational subspaces, and applies them to get a product formula for a numerical invariant associated to subspaces of \({\mathbb{R}}^ n\), which are orthogonal to \((1,1,...,,1)\in {\mathbb{R}}^ n\).
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Applications of Euler’s formula

2002
Abstract You may have met Euler’s formula for regular polyhedra: if <V is the number of vertices, E the number of edges, and <F the number of faces, then <V −E +<F = 2. There are five such regular polyhedra, and you can check this equation in the five cases (see Table 3.1).
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