Results 121 to 130 of about 98,739 (338)

Upper Bounds of the Complexity of Functions over Finite Fields in Some Classes of Kroneker Forms

Известия Иркутского государственного университета: Серия "Математика", 2015
Polynomial representations of Boolean functions have been studied well enough. Recently, the interest to polynomial representations of functions over finite fields and over finite rings is being increased.
A.S. Baliuk, G.V. Yanushkovsky
doaj  

Stronger arithmetic equivalence

Discrete Analysis, 2021
Stronger arithmetic equivalence, Discrete Analysis 2021:23, 23 pp. An algebraic number field is a subfield $K$ of $\mathbb C$ that is finite-dimensional when considered as a vector space over $\mathbb Q$, which implies that every element of $K$ is ...
Andrew V. Sutherland
doaj   +1 more source

On Permutation Polynomials Over Finite Fields [PDF]

, 2017
Bu tezde sonlu cisimlerdeki permutasyon polinomları uzerine c¸alıs¸tık. Sonlu cisimler ¨ uzerinde tanımlanmıs¸ bazı permutasyon polinom tiplerinin olus¸turulması ve sınıflandı- ¨ rılması ile ilgili son zamanlarda yapılmıs¸ birtakım aras¸tırma sonuc ...
Asad, Maha M.m. Dabboor, Gülmez Temür, Burcu   +1 more
core  

An exciting Approach to Theoretical Spectroscopy

Advanced Science, EarlyView.
ABSTRACT Theoretical spectroscopy, and more generally, electronic‐structure theory, are powerful concepts for describing the complex many‐body interactions in materials. They cover methods from ground‐state properties to lattice excitations and light‐matter interaction, including time‐resolved variants.
Martí Raya‐Moreno, Alexander Buccheri, Noah Alexy Dasch, Nasrin Farahani, Ignacio Gonzalez Oliva, Andris Gulans, Seokhyun Hong, Manoar Hossain, Hannah Kleine, Martin Kuban, Sven Lubeck, Benedikt Maurer, Pasquale Pavone, Fabian Peschel, Daria Popova‐Gorelova, Lu Qiao, Elias Richter, Santiago Rigamonti, Ronaldo Rodrigues Pela, Maximilian Schebek, Kshitij Sinha, Daniel T. Speckhard, Jan Stutz, Sebastian Tillack, Dmitry Tumakov, Jānis Užulis, Mara Voiculescu, Cecilia Vona, Mao Yang, Claudia Draxl   +29 more
wiley   +1 more source

Hardware‐Attentive Programmable Fourier Ptychography Enables Task‐Adaptive Label‐Free Virtual Staining

Advanced Science, EarlyView.
Task‐adaptive programmable optics enables label‐free virtual staining through optical‐attention‐guided acquisition and reconstruction. By optimizing wavelength, illumination angle, exposure time, and imaging depth, the framework learns task‐relevant optical measurements, generating clinically interpretable virtual stains with improved fidelity, non ...
Tianyue He, Wenyi Jing, Le Zhang, Qican Zhang, Tingdong Kou, Xin He, Yan Qiu, Yang Lu, Jian Cui, Yongfu Wen, Zhenrong Zheng, Hongying Zhang, Dayong Jin, Junfei Shen   +13 more
wiley   +1 more source

Additive polynomials and primitive roots over finite fields [PDF]

, 2001
We prove existence of primitive roots with a prescribed nonzero image using the arithmetic of algebraic function fields for a class of polynomials over sufficiently large finite ...
Ozbudak, F
core   +3 more sources

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  

Primitive Normal Polynomials Over Finite Fields [PDF]

, 1994
In this note we significantly extend the range of published tables of primitive normal polynomials over finite fields. For each with , we provide a primitive normal polynomial of degree n over . Moreover, each polynomial has the minimal number of nonzero
Gary L. Mullen, Ilene H. Morgan, Mullen, Gary L., Morgan, Ilene H.   +3 more
core   +1 more source

Femtosecond‐Laser Nanocavitation Regenerates SERS‐Active Plasmonic Nanogaps for Longitudinal Molecular Sensing at Biointerfaces

Advanced Science, EarlyView.
A regenerative molecular sensing platform that co‐localizes surface‐enhanced Raman spectroscopy (SERS) sensing and nanocavitation‐based actuation. Femtosecond‐laser triggered nanocavitation produces thermomechanical forces to locally regenerate SERS‐active nanogaps in protein‐rich biofluids while preserving optical performance.
Aditya Garg, Ze Zong, Meitong Nie, Stacie E. Deaver, Elizabeth M. Van Order, Elieser Mejia, Peter Vikesland, Erin S. Gloag, Wei Zhou   +8 more
wiley   +1 more source

Analytical solution of elastostatic problems of a simply connected body loaded with nonconservative volume forces: theoretical and algorithmic support

Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2020
The possibility of constructing a full-parametric analytical solution of the stress-strain state problem for the body caused by the influence of volumetric forces is studied.
Viktor Borisovich Pen'kov, Lyubov Vladimirovna Levina, Olga Sergeevna Novikova   +2 more
doaj   +1 more source