Results 71 to 80 of about 530,971 (262)
A Catalytic, Oxidative Synthesis of Olivetol, Methyl Olivetolate and Orthogonally Protected Methyl Ether Derivatives [PDF]
, 2021 James McNulty +4 more
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The Orthogonality between Complex Fuzzy Sets and Its Application to Signal Detection
Symmetry, 2017 A complex fuzzy set is a set whose membership values are vectors in the unit circle in the complex plane. This paper establishes the orthogonality relation of complex fuzzy sets.
Bo Hu, Lvqing Bi, Songsong Dai
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Orthogonality of quasi-orthogonal polynomials
Filomat, 2018 A result of P?lya states that every sequence of quadrature formulas Qn(f) with n nodes and positive Cotes numbers converges to the integral I(f) of a continuous function f provided Qn(f) = I(f) for a space of algebraic polynomials of certain degree that depends on n.
Bracciali, Cleonice F. +2 more
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ORTHOGONALLY ADDITIVE AND ORTHOGONALLY QUADRATIC FUNCTIONAL EQUATION [PDF]
Korean Journal of Mathematics, 2013 Summary: Using the fixed point method, we prove the Ulam-Hyers stability of the orthogonally additive and orthogonally quadratic functional equation \[ \begin{multlined} f\left(\frac{x}{2}+y\right) + f\left(\frac{x}{2}-y\right) + f\left(\frac{x}{2}+z\right) + f\left(\frac{x}{2}-z\right) \\ = 3f(x) - 1 f (- x) + f(y) + f (- y) + f(z) + f (- z) \end ...
Lee, Jung Rye +2 more
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Orthogonal polynomials with orthogonal derivatives [PDF]
Bulletin of the American Mathematical Society, 1938 We are concerned with the following assertion: THEOREM. If {φn(x)} and { φn’(x)} are orthogonal systems of polynomials, then {φn(x)} may be reduced to the classical polynomials of Jacobi, Laguerre, or Hermite by means of a linear transformation on x.
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Transactions of the American Mathematical Society, 1995 Orthogonal calculus is a calculus of functors, similar to Goodwillie’s calculus. The functors in question take finite dimensional real vector spaces (with an inner product) to pointed spaces. Prime example: F ( V ) = B O ( V ) F(V) = BO(V) , where O
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Redesigning metabolism based on orthogonality principles
Nature Communications, 2017 Modifications made during metabolic engineering for overproduction of chemicals have network-wide effects on cellular function due to ubiquitous metabolic interactions.
A. Pandit +2 more
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Science and Religion: Some Demarcation Criteria
Zygon, 2001 Discussions on the congruence, compatibility, and contradictions between science and religion have been going on since the rise of modern science. In our own times, there are many efforts to build bridges of harmony between the two.
doaj +2 more sources
General Orthogonality for Orthogonal Polynomials
Bulletin of the Korean Chemical Society, 2013 The bound state wave functions for all the known exactly solvable potentials can be expressed in terms of orthogonal polynomials because the polynomials always satisfy the boundary conditions with a proper weight function. The orthogonality of polynomials is of great importance because the orthogonality characterizes the wave functions and consequently
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Orthogonal Polynomials and Fourier Orthogonal Series on a Cone [PDF]
Journal of Fourier Analysis and Applications, 2020 Orthogonal polynomials and the Fourier orthogonal series on a cone of revolution in $\mathbb{R}^{d+1}$ are studied. It is shown that orthogonal polynomials with respect to the weight function $(1-t)^ (t^2-\|x\|^2)^{ -\frac12}$ on the cone $\mathbb{V}^{d+1} = \{(x,t): \|x\| \le t \le 1\}$ are eigenfunctions of a second order differential operator ...
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