Results 51 to 60 of about 1,874,872 (323)

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

open access: yesSpecial 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

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

open access: yesAdvanced 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   +5 more
wiley   +1 more source

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

open access: yesVisnik 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

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

open access: yesAdvanced 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   +15 more
wiley   +1 more source

Multiple Orthogonal Polynomials in Random Matrix Theory [PDF]

open access: yesProceedings of the International Congress of Mathematicians 2010 (ICM 2010), 2011
15 pages, 3 figures, to appear in Proceedings of the International Congress of Mathematicians, Hyderabad, India, 2010.
openaire   +2 more sources

Laser‐Induced Local De‐Doping in Organic Semiconductors

open access: yesAdvanced Materials Technologies, EarlyView.
The polymer PBTTT‐C14 doped with the small molecule acceptor F4TCNQ is considered as a benchmark material system. Mask‐free, microscale patterning of the doping level via laser‐induced heating and sublimation of dopant molecules is shown. Controlling laser irradiance and swath spacing allows dopant level control with laser‐limited resolution, opening ...
Christian Rainer   +5 more
wiley   +1 more source

On the Collocation Method in Constructing a Solution to the Volterra Integral Equation of the Second Kind Using Chebyshev and Legendre Polynomials

open access: yesИзвестия Иркутского государственного университета: Серия "Математика"
The paper proposes a matrix implementation of the collocation method for constructing a solution to Volterra integral equations of the second kind using systems of orthogonal Chebyshev polynomials of the first kind and Legendre polynomials. The integrand
O.V. Germider, V. N. Popov
doaj   +1 more source

Some Comments on Quasi-Birth-and-Death Processes and Matrix Measures

open access: yesJournal of Probability and Statistics, 2010
We explore the relation between matrix measures and quasi-birth-and-death processes. We derive an integral representation of the transition function in terms of a matrix-valued spectral measure and corresponding orthogonal matrix polynomials.
Holger Dette, Bettina Reuther
doaj   +1 more source

Gait Analysis of Pak Biawak: A Necrobot Lizard Built using the Skeleton of an Asian Water Monitor (Varanus Salvator)

open access: yesAdvanced Robotics Research, EarlyView.
Pak Biawak, a necrobot, embodies an unusual fusion of biology and robotics. Designed to repurpose natural structures after death, it challenges conventional boundaries between nature and engineering. Its movements are precise yet unsettling, raising questions about sustainability, ethics, and the untapped potential of biointegrated machines.
Leo Foulds   +2 more
wiley   +1 more source

A Spectral Method Based on Hahn Polynomials for Numerical Solution of Fractional Integro-Differential Equations with Weakly Singular Kernel

open access: yesپژوهش‌های ریاضی, 2020
Introduction Despite wide applications of constant order fractional derivatives, some systems require the use of derivatives whose order changes with respect to other parameters.
Farideh Salehi   +2 more
doaj  

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