Expressions for the Euler numbers obtained by expanding sec x by means of Maclaurins Theorem
I. J. Schwatt (1930)
Mathematische Zeitschrift
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Displaying similar documents to “Euler Characteristic and the Class of Unit in K-theory.”
Expressions for the Euler numbers obtained by expanding sec x by means of Maclaurins Theorem
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A closed form formula (generating function) for the Euler characteristic of the configuration space of n particles in a simplicial complex is given.
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Some finite generalizations of Euler's pentagonal number theorem
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Euler's pentagonal number theorem was a spectacular achievement at the time of its discovery, and is still considered to be a beautiful result in number theory and combinatorics. In this paper, we obtain three new finite generalizations of Euler's pentagonal number theorem.
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Continuous dependence for solution classes of Euler-Lagrange equations generated by linear growth energies
Ken Shirakawa (2009)
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In this paper, a one-dimensional Euler-Lagrange equation associated with the total variation energy, and Euler-Lagrange equations generated by approximating total variations with linear growth, are considered. Each of the problems presented can be regarded as a governing equation for steady-states in solid-liquid phase transitions. On the basis of precise structural analysis for the solutions, the continuous dependence between the solution classes of approximating problems and that of...