نتایج جستجو برای: triangular functions

تعداد نتایج: 508923  

2001
Wei Cai Tiejun Yu Han Wang Yijun Yu

In this paper, we present an explicit form of highorder mixed Rao–Wilton–Glisson basis functions for electromagnetic (EM) simulation of curved conductor surfaces. Basis functions for combinations of curved triangular and quadrilateral patches can be used. Several applications of EM simulations in multilayered media, such as three-dimensional discontinuities in very large scale integration desig...

2011
Carlos Lopez-Molina Humberto Bustince Javier Fernández Bernard De Baets

The fuzzy representation of the edges has been widely studied in different works. Generally, for each pixel, the authors use membership degrees linearly proportional to the magnitude of the gradient at that position of the image. This would be equivalent to using a triangular membership functions on the gradient magnitude. In this work we study the use of parametric functions in the transformat...

Journal: :Math. Comput. 2006
Bin Han Rong-Qing Jia

For any interpolatory ternary subdivision scheme with two-ring stencils for a regular triangular or quadrilateral mesh, in this paper we show that the critical Hölder smoothness exponent of its basis function cannot exceed log3 11(≈ 2.18266), where the critical Hölder smoothness exponent of a function f : R2 7→ R is defined to be ν∞(f) := sup{ν : f ∈ Lip ν}. On the other hand, for both regular ...

2015
B. Srinivas G. Ganesan

In this paper, we investigate an assignment problem in which cost coefficients are triangular intuitionistic fuzzy numbers. In conventional assignment problem, cost is always certain. This paper develops an approach to solve an intuitionistic fuzzy assignment problem where cost is not deterministic numbers but imprecise ones. Here, the elements of the costs (profits) matrix of the assignment pr...

2012
Paul Garrett

We will restrict out attention to the simplest possible case, namely G = SL2(R), Γ = SL2(Z), and right K = SO(2)-invariant functions on Γ\G. That is, we neglect the finite primes and holomorphic automorphic forms. Let N be the subgroup of G consisting of upper-triangular unipotent matrices, and P the parabolic subgroup consisting of all upper-triangular matrices. For simplicity we give K total ...

2003
Pedro L. D. Peres Ivanil S. Bonatti Walter C. Borelli José R. C. Piqueira

A lecture note introducing the sampling theorem as an interpolation method is presented. The relationship between piecewise linear approximation and the sampling theorem is highlighted by the use of triangular pulses instead of sampling functions. Furthermore, a comparison of the linear interpolation with a series on a nonorthogonal basis composed of equally spaced triangular pulses is provided...

Journal: :Proceedings. Mathematical, physical, and engineering sciences 2015
Alex Townsend Lloyd N Trefethen

Analogues of singular value decomposition (SVD), QR, LU and Cholesky factorizations are presented for problems in which the usual discrete matrix is replaced by a 'quasimatrix', continuous in one dimension, or a 'cmatrix', continuous in both dimensions. Two challenges arise: the generalization of the notions of triangular structure and row and column pivoting to continuous variables (required i...

2004
Tom H. Koornwinder

For little q-Jacobi polynomials, q-Hahn polynomials and big q-Jacobi polynomials we give particular q-hypergeometric series representations in which the termwise q = 0 limit can be taken. When rewritten in matrix form, these series representations can be viewed as decompositions into a lower triangular matrix times upper triangular matrix. We develop a general theory of such decompositions rela...

Journal: :Electr. J. Comb. 2003
Yurii Burman Michael Shapiro

We introduce a new class of admissible pairs of triangular sequences and prove a bijection between the set of admissible pairs of triangular sequences of length n and the set of parking functions of length n. For all u and v = 0, 1, 2, 3 and all n ≤ 7 we describe in terms of admissible pairs the dimensions of the bi-graded components hu,v of diagonal harmonics C[x1, . . . , xn; y1, . . . , yn]/...

2015
Ashwani Kharola

This paper illustrates a Comparative study of highly non-linear, complex and multivariable Inverted Pendulum (IP) system on Cart using different soft computing techniques. Firstly, a Fuzzy logic controller was designed using triangular and trapezoidal shape Membership functions (MF's). The trapezoidal fuzzy controller shows better results in comparison to triangular fuzzy controller. Secondly, ...

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