Results 41 to 50 of about 1,874,459 (287)

Painleve Equations and Orthogonal Polynomials [PDF]

, 2016
In this thesis we classify all of the special function solutions to Painleve equations and all their associated equations produced using their Hamiltonian structures.
Smith, James
core  

Microstructure Modification of Additively Manufactured Mo–9Si–8B by Annealing and Its Effects on High‐Temperature Mechanical Properties

Advanced Engineering Materials, EarlyView.
Postbuild annealing systematically modifies the phase fractions and morphology of EB‐PBF processed Mo–9Si–8B. Quantitative microstructure–property correlations reveal how controlled phase evolution enhances high‐temperature compressive strength and creep resistance.
Christopher Schmidt, Yong Chen, Georg Hasemann, Benjamin Wahlmann, Carolin Körner, Manja Krüger   +5 more
wiley   +1 more source

Relations between the orthogonal matrix polynomials on [a, b], Dyukarev-Stieltjes parameters, and Schur complements

Special Matrices, 2017
We obtain explicit interrelations between new Dyukarev-Stieltjes matrix parameters and orthogonal matrix polynomials on a finite interval [a, b], as well as the Schur complements of the block Hankel matrices constructed through the moments of the ...
Choque-Rivero A.E.
doaj   +1 more source

Elastomeric 3D‐Printed Microenvironments Enable Nanonewton Force Measurements in Healthy and Diseased Human Pluripotent Stem Cell‐Derived Neuroepithelial Cells

Advanced Materials, EarlyView.
We present elastomeric three‐dimensional (3D) microstructures fabricated via two‐photon polymerization (2PP) and post‐processed through wet etching, for quantifying nanonewton (nN)‐scale forces applied by healthy and diseased neural cells. The mechanically characterized free‐standing beam architectures enable measurement of traction forces of ...
Pieter F. J. van Altena, Lucia Castillo Ransanz, Ruben H. Guis, Giulia Bergamaschi, Nanne J. Paauw, Urs Staufer, Vivi M. Heine, Angelo Accardo   +7 more
wiley   +1 more source

On Laguerre-Sobolev matrix orthogonal polynomials

Open Mathematics
In this manuscript, we study some algebraic and differential properties of matrix orthogonal polynomials with respect to the Laguerre-Sobolev right sesquilinear form defined by ⟨p,q⟩S≔∫0∞p*(x)WLA(x)q(x)dx+M∫0∞(p′(x))*W(x)q′(x)dx,{\langle p,q\rangle }_ ...
Fuentes Edinson, Garza Luis E., Saiz Martha L.   +2 more
doaj   +1 more source

New Operational Matrix via Genocchi Polynomials for Solving Fredholm-Volterra Fractional Integro-Differential Equations

Advances in Mathematical Physics, 2017
It is known that Genocchi polynomials have some advantages over classical orthogonal polynomials in approximating function, such as lesser terms and smaller coefficients of individual terms.
Jian Rong Loh, Chang Phang, Abdulnasir Isah   +2 more
doaj   +1 more source

Descriptors to Dynamics: A Materials and Device Perspective on in‐Materio Physical Reservoir Computing for Neuromorphic Edge Intelligence

Advanced Materials, EarlyView.
Intrinsic material dynamics are harnessed as computational resources for neuromorphic in‐materio physical reservoir computing. Defects, ionic motion, interfaces, percolation, geometry, and biasing shape transient states that provide fading memory, nonlinearity, and high‐dimensional projection for simple readout. A descriptor‐to‐dynamics framework links
Kshitij RB Singh, Alif Syafiq Kamarol Zaman, Muzhen Xu, Yuki Usami, Saptarshi Das, Hirofumi Tanaka   +5 more
wiley   +1 more source

Korobov’s controllability function method via orthogonal polynomials on [0,∞)

Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika
Given a controllable system described by ordinary or partial differential equations and an initial state, the problem of finding a set of bounded positional controls that transfer the initial state to another state, not necessarily an equilibrium point ...
Abdon Choque, Tatjana Vukasinac
doaj   +1 more source

Uvarov perturbations for matrix orthogonal polynomials

Proceedings of the American Mathematical Society, Series B
Additive perturbations, specifically matrix Uvarov transformations for matrix orthogonal polynomials, are under consideration. Christoffel–Uvarov formulas are deduced for the perturbed biorthogonal families, along with their matrix norms. These formulations are expressed in terms of the spectral jets of the Christoffel–Darboux kernels.
Ariznabarreta, Gerardo, García-Ardila, Juan C., Mañas, Manuel, Marcellán, Francisco   +3 more
openaire   +2 more sources

A Direction‐Aware Piezo‐Transmittance Strain Sensor via Engineered Alignment of Carbon Nanotubes (CNTs)

Advanced Materials Technologies, EarlyView.
A direction‐aware piezo‐transmittance strain sensor is realized through the engineered alignment of carbon nanotubes. This anisotropic architecture instantaneously modulates optical transmittance, achieving ultra‐high sensitivity and exceptionally low hysteresis. By effectively eliminating signal crosstalk to precisely decouple multidirectional strains,
Byeongmin Kang, Kwangjun Kim, Jimin Gu, Junseong Ahn, Yongrok Jeong, Ji‐Hwan Ha, Sohee Jeon, Soonhyoung Hwang, Byung‐Ho Kang, Jihyeon Ahn, Jong‐An Choi, Minwook Kim, Yeonguk Jung, Jun‐Ho Jeong, Jong G. Ok, Inkyu Park   +15 more
wiley   +1 more source