Results 261 to 270 of about 5,446,897 (300)

A Green function for the equilateral triangle

Zeitschrift Fur Angewandte Mathematik Und Physik, 2005
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Keith Oldham, Jan C Myland
exaly   +2 more sources

GENERATION OF WEIGHTING TRIANGLES ASSOCIATED WITH AGGREGATION FUNCTIONS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2000
In this work, we present several ways to obtain different types of weighting triangles, due to these types characterize some interesting properties of Extended Ordered Weighted Averaging operators, EOWA, and Extended Quasi-linear Weighted Mean, EQLWM, as well as of their reverse functions.
Tomasa Calvo, Gaspar Mayor, Joan Torrens, Jaume Suñer, Margarita Mas, Marc Carbonell   +5 more
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Some Results on Chromatic Number as a Function of Triangle Count [PDF]

SIAM Journal on Discrete Mathematics, 2019
A variety of powerful extremal results have been shown for the chromatic number of triangle-free graphs. Three noteworthy bounds are in terms of the number of vertices, edges, and maximum degree given by Poljak \& Tuza (1994), and Johansson. There have been comparatively fewer works extending these types of bounds to graphs with a small number of ...
exaly   +4 more sources

Nonnegativity of bivariate quadratic functions on a triangle

Computer Aided Geometric Design, 1992
The author gives a necessary and sufficient condition for the nonnegativity of a bivariate quadratic function on a triangle in terms of the Bernstein-Bézier form of the function.
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The Triangle Function Method

2016
In this chapter, we discuss the triangle function method, which is related to the Esseen type inversion inequality, but contains much more elaborate estimates for the concentration function. The advantages and drawbacks of the triangle function method can be summarized in the following way.
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About Functional Equation, Generated by Equilateral Triangle

Lobachevskii Journal of Mathematics, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Garifyanov, F. N., Strezhneva, E. V.
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A note on the Schwarzian triangle functions

Complex Variables, Theory and Application: An International Journal, 1997
A classical result in the theory of elliptical functions states that . The function K 2 belongs to an important class of functions called the Schwarzian triangle function, for it maps a curvilinear triangle conformally to the upper half plane. The above identity reveals an interesting relation between a hypergeometric function and a Schwarzian triangle
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A non-causal triangle function

Mathematical Proceedings of the Cambridge Philosophical Society, 1987
Schweizer and Sklar, in their book Probabilistic Metric Spaces, raise the question of whether every triangle function is causal. This note provides a negative answer, by observing certain properties of a suitable partial quaternary operation on the unit interval.
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A noncommutative taylor formula and functions of triangle operators

Functional Analysis and Its Applications, 1990
It is known that the calculus with functions of operators is defined by a class \({\mathcal A}\) of operators in a Banach space \({\mathcal B}\) and by an algebra F of scalar functions of real or complex variable with aid of the homomorphism \(f\mapsto f(A)\) of the algebra F in the algebra \({\mathcal L}({\mathcal B})\) of bounded linear mappings of \(
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Summations in Bernoulli's triangles via generating functions

J. Integer Seq., 2017
Summary: We revisit sums along straight lines of indices in Bernoulli triangles, and emphasize the use of generating functions as the appropriate tool. This leads to more direct and extended results, compared with a recent paper in this journal.
Oliver, Kamilla, Prodinger, Helmut
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