Results 71 to 80 of about 9,360 (297)
Biorthogonal Expansion of Non-Symmetric Jack Functions
We find a biorthogonal expansion of the Cayley transform of the non-symmetric Jack functions in terms of the non-symmetric Jack polynomials, the coefficients being Meixner-Pollaczek type polynomials.
Siddhartha Sahi, Genkai Zhang
doaj
Polynomials with Symmetric Zeros
Polynomials whose zeros are symmetric either to the real line or to the unit circle are very important in mathematics and physics. We can classify them into three main classes: the self-conjugate polynomials, whose zeros are symmetric to the real line; the self-inversive polynomials, whose zeros are symmetric to the unit circle; and the self-reciprocal
openaire +3 more sources
This study explores how information processing is distributed between brains and bodies through a codesign approach. Using the “backpropagation through soft body” framework, brain–body coupling agents are developed and analyzed across several tasks in which output is generated through the agents’ physical dynamics.
Hiroki Tomioka +3 more
wiley +1 more source
Differential Equations Associated with Two Variable Degenerate Hermite Polynomials
In this paper, we introduce the two variable degenerate Hermite polynomials and obtain some new symmetric identities for two variable degenerate Hermite polynomials.
Kyung-Won Hwang, Cheon Seoung Ryoo
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Affine projections of symmetric polynomials
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Relative symmetric polynomials
In this article, we introduce the notion of a relative symmetric polynomial with respect to a permutation group and an irreducible character and we give answers for some natural questions about their structures.
M. Shahryari, Shahryari, M.
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3D‐Printing Aided Rapid Prototyping of Pretensioned Tensegrity Structures for Robotic Applications
Printing, injection molding, and assembly (PMA) is a method for rapid prototyping mesoscale, topologically complex, and tensioned tensegrity structures. In combination with PMA method, two mold design strategies: modular mold and compact channel layout, enable efficiency and scalability for tensegrity fabrication.
Yi Sun +3 more
wiley +1 more source
On Convolved Fibonacci Polynomials
This work delves deeply into convolved Fibonacci polynomials (CFPs) that are considered generalizations of the standard Fibonacci polynomials. We present new formulas for these polynomials. An expression for the repeated integrals of the CFPs in terms of
Waleed Mohamed Abd-Elhameed +2 more
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Symmetric polynomials over finite fields
It is shown that two vectors with coordinates in the finite q-element field of characteristic p belong to the same orbit under the natural action of the symmetric group if each of the elementary symmetric polynomials of degree pk , 2pk , . . . , (q −
Miklósi, Botond +3 more
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This study combines full‐field tomography with diffraction mapping to quantify radial (ε002$\varepsilon _{002}$) and axial (ε100$\varepsilon _{100}$) lattice strain in wrinkled carbon‐fiber specimens for the first time. Radial microstrain gradients (−14.5 µεMPa$\varepsilon \mathrm{MPa}$−1) are found to signal damage‐prone zones ahead of failure, which ...
Hoang Minh Luong +7 more
wiley +1 more source

