Results 81 to 90 of about 121,729 (283)

Random process generated by the incomplete Gauss sums [PDF]

, 2015
In this paper we explore a random process generated by the incomplete Gauss sums and establish an analogue ofweak invariance principle forthese sums. We focusour attentionexclusively on ageneralizationofthe limit distribution of the long incomplete Gauss
Demirci, Emek Akarsu
core   +1 more source

Lipidomic Profile Reconstruction of Therapeutic Membrane Targets Using Physics‐Based Optimization with Limited Activity Data

Advanced Science, EarlyView.
Using a minimal set of experimentally labeled antimicrobial and non‐antimicrobial peptides, we reconstruct the effective lipid composition of a pathogenic membrane ‐demonstrated at the example of bacterial membranes‐ through a physics‐based evolutionary molecular dynamics (Evo‐MD) approach. Optimization based on peptide insertion reveals broad‐spectrum
Maximilian Krebs, Herre Jelger Risselada
wiley   +1 more source

On the two-term exponential sums and character sums of polynomials

Open Mathematics, 2019
The main aim of this paper is to use the analytic methods and the properties of the classical Gauss sums to research the computational problem of one kind hybrid power mean containing the character sums of polynomials and two-term exponential sums modulo
Ma Yuankui, Zhang Wenpeng
doaj   +1 more source

On the Sixth Residues and Some New Properties of Their Distribution

Journal of Mathematics, 2021
In this paper, we use the analytic methods, the properties of the sixth-order characters, and the classical Gauss sums to study the computational problems of a certain special sixth residues’ modulo p and give two exact calculating formulas for them.
Juanli Su, Jin Zhang
doaj   +1 more source

Gauss Sums of Orders Six and Twelve

, 2001
Precise, elegant evaluations are given for Gauss sums of orders six and twelve.
Ronald Evans
core   +1 more source

Discrete 2D Material Programming for 3D Shaping and Morphogenesis‐Inspired 4D Bioprinting

Advanced Science, EarlyView.
Cell‐compatible discrete 2D material programming enables 2‐to‐3D shape transformation and morphogenesis‐inspired 4D bioprinting. By patterning cell‐supportive microdomains within a responsive hydrogel, the approach programs in‐plane growth to encode target metrics.
Fereshteh Family, Aneela Davuluri, Athulya Martin, Kyungsuk Yum   +3 more
wiley   +1 more source

Quadratic Form Gauss Sums

, 2016
Let p be a prime, n, r positive integers, S an integer coprime to p. We let Q_r denote an r-dimensional integral quadratic form. For convenience, set e(x) = e^{2 pi i x}, where x is any rational number, i is the imaginary unit. Denote the quadratic Gauss
Doyle, Gregory
core   +1 more source

Ablation‐Immune Thermal Armor Via Microstructural‐Compatibility Design for Extreme Thermal Conditions

Advanced Science, EarlyView.
This study unveils a microstructural‐compatibility design strategy that integrates reactive melt infiltration with plasma spraying to fabricate carbon fiber‐reinforced ZrC‐SiC composites. The deliberate incorporation of SiC into the ZrC coating releases heat accumulation, suppresses detrimental lamellar ZrO2 formation, and reduces residual stress. This
Hongkang Ou, Lingxiang Guo, Bing Liu, Ziyi Yi, Yuyu Zhang, Jia Sun, Qiangang Fu   +6 more
wiley   +1 more source

Some New Identities Related to Dedekind Sums Modulo a Prime

Journal of Mathematics
The main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one-kind mean values related to Dedekind sums and give
Jiayuan Hu
doaj   +1 more source

New Mixed Exponential Sums and Their Application

Journal of Applied Mathematics, 2014
The main purpose of this paper is to introduce a new mixed exponential sums and then use the analytic methods and the properties of Gauss sums to study the computational problems of the mean value involving these sums and give an interesting ...
Yu Zhan, Xiaoxue Li
doaj   +1 more source