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UNUSUAL FORMULAE FOR THE EULER CHARACTERISTIC [PDF]
Everyone knows that the Euler characteristic of a combinatorial manifold is given by the alternating sum of its numbers of simplices. It is shown that there are other linear combinations of the numbers of simplices which are combinatorial invariants, but that all such invariants are multiples of the Euler characteristic.
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Euler-Maclaurin formulae [PDF]
A number of inequalities, for functions whose derivatives are either functions of bounded variation or Lipschitzian functions or functions in L_p-spaces, is proved by applying the Euler-Maclaurin formulae. The results are applied to obtain some error estimates for the Maclaurin quadrature rules.
Matić, Marko +2 more
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A generalization of Euler's formula in Clifford algebras
In this paper, the equation.ex.y. = 1, such that x, y. Rn, is proved using defined group homomorphism and Euler's formula, where x. y is the outer product between x and y. Firstly, this equation is verified for n = 2, 3, 4,5 using Clifford product. Then,
Mutlu Akar, Akar, Mutlu
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Educação Superior::Ciências Exatas e da Terra::MatemáticaLet the number of vertices, edges, and faces of a polyhedron be V, E, and F. The Euler characteristic, V+F-E, is always 2 for convex polyhedra. This Demonstration shows Euler's polyhedral formula V+
Zenil, Hector
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Inverse hyperbolic equation, Spectral technique, Regularization method, Operational matrix
Recently, the realm related to Euler's Beta function has played a significant role in the development of special function theory. In this study, a new extension of the special function known as Euler's Beta function with respect to the Mittag-Leffler ...
Firas Ghanim +2 more
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On Classic Solution of the Problem for a Homogeneous Wave Equation with Fixed End-Points and Zero Initial Velocity [PDF]
The paper gives necessary and sufficient conditions of classic solution for a homogeneous wave equation with a summable potential, fixed end-point, and zero initial velocity.
Avgust Petrovich Khromov
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Generalized Summation Formulas for the Kampé de Fériet Function
By employing two well-known Euler’s transformations for the hypergeometric function 2F1, Liu and Wang established numerous general transformation and reduction formulas for the Kampé de Fériet function and deduced many new summation formulas for the ...
Junesang Choi +2 more
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Blood Balance Advanced Formula Hoax | Blood Balance Advanced Formula Reviews
Blood Balance Advanced Formula Hoax- At present, you can easily buy these Blood Balance Advanced Formula Support supplements online. If you want you can always consult a health expert to know more details.
Advanced Formula
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