Results 51 to 60 of about 1,874,872 (323)
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.
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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
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Korobov’s controllability function method via orthogonal polynomials on [0,∞)
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
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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
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Multiple Orthogonal Polynomials in Random Matrix Theory [PDF]
15 pages, 3 figures, to appear in Proceedings of the International Congress of Mathematicians, Hyderabad, India, 2010.
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Laser‐Induced Local De‐Doping in Organic Semiconductors
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
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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
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Some Comments on Quasi-Birth-and-Death Processes and Matrix Measures
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
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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
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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
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