Results 101 to 110 of about 972,893 (286)

On the Minimal Polynomial of a Vector

Advances in Linear Algebra & Matrix Theory, 2012
It is well known that the Cayley-Hamilton theorem is an interesting and important theorem in linear algebras, which was first explicitly stated by A. Cayley and W. R. Hamilton about in 1858, but the first general proof was published in 1878 by G. Frobenius, and numerous others have appeared since then, for example see [1,2].
Dabin Zheng, Heguo Liu
openaire   +1 more source

Resistance to Overdoping Allows Over 2000 S cm−1 Conductivity in P(g3BTTT) With Anion‐Exchange Doping

Advanced Materials, EarlyView.
Anion‐exchange doping of conjugated polymers is an effective way to achieve high conductivities. Here, we report over 2000 S cm−1 electrical conductivity for doped P(g3BTTT). In addition, we show that P(g3BTTT) sustains exceptionally high doping levels without any drop in the charge mobility.
Basil Hunger, Maximilian M. Horn, Eva Röck, Diego Rosas Villalva, Lize Bynens, Jochen Vanderspikken, Christina Kousseff, Silène Gobeil, Olivier Bardagot, Nesibe Akmanşen‐Kalayci, Sarah H. Tolbert, Iain McCulloch, Wouter Maes, Demetra Tsokkou, Natalie Banerji   +14 more
wiley   +1 more source

Lower Bound of the Complexity of Functions over Finite Field of Order 4 in the Class of Polarized Polynomials

Известия Иркутского государственного университета: Серия "Математика", 2016
The representations, including polynomial, of functions over final fields have been actively investigated. The complexity of such representations is the main stream of research.
A. Baliuk, A.S. Zinchenko
doaj  

p-cycles, S2-sets and Curves with Many Points

Revista de Ciencias, 2017
We construct S 2 -sets contained in the integer interval I q − 1 := [1, q − 1] with q = p^n,p a prime number and n ∈ Z +, by using the p-adic expansion of integers. Such sets comefrom considering p-cycles of length n. We give some criteria in particular
Álvaro Garzón
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

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

Asymptotic behavior and zero distribution of polynomials orthogonal with respect to Bessel functions [PDF]

, 2015
We consider polynomials P_n orthogonal with respect to the weight J_? on [0,?), where J_? is the Bessel function of order ?. Asheim and Huybrechs considered these polynomials in connection with complex Gaussian quadrature for oscillatory integrals.
Deaño Cabrera, Alfredo, Kuijlaars, Arno, Kuijlaars, Arno B. J., Román, Pablo Manuel, Deaño, Alfredo, Román, Pablo   +5 more
core   +1 more source

Ionic Gating of Liquid‐Crystal‐Like Pteridine Assemblies Enables Tunable Light Scattering

Advanced Materials, EarlyView.
Tunable optical properties emerge through developmentally regulated ionic gating, which transforms disordered, ultraviolet (UV)‐absorbing organelles into concentrically ordered, liquid‐crystal‐like light scatterers. By integrating analyses of pteridine composition, potassium‐dependent assembly, hierarchical ultrastructure, and optical behavior, the ...
Sourabh Bera, Zohar Eyal, Yael Noy, Yuval Barzilay, Siddharth Sahoo, Srikant Moharana, Avi Baram, Tali Lerer‐Goldshtein, Neta Varsano, Bar Bader, Lothar Houben, Uwe Heinig, Iddo Pinkas, Moshe Goldsmith, Tamar Unger, Shira Albeck, Andrea Sorrentino, Maxim Itkin, Sergey Malitsky, Ziv Porat, Ido Hadar, Venkata Jayasurya Yallapragada, Dvir Gur   +22 more
wiley   +1 more source

Laser‐Induced Local De‐Doping in Organic Semiconductors

Advanced 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, Aleksandr Perevedentsev, Daniel Ryklin, Rasmus R. Schröder, Gerardo Hernandez‐Sosa, Uli Lemmer   +5 more
wiley   +1 more source

Mixed-Integer Linear Programming Design of Economical Decimation Filters via Self-Reciprocal Polynomials With Unimodular Roots

IET Signal Processing
This paper presents a novel method for designing low-complexity, multiplier-free filters tailored to multistage decimation architectures. The proposed decimation filters are constructed from building blocks Pm,rz, which are self-reciprocal polynomials of
Massimiliano Laddomada, Kadyrzhan Tortayev   +1 more
doaj   +1 more source