Results 41 to 50 of about 116,470 (286)

Greedy Sums and Dirichlet Series [PDF]

, 2011
We prove that the greedy sum of a direct product of two numeric arrays of complex numbers is equal to the product of the greedy sums of the factors provided that all the mentioned sums exist.Comment: 3 ...
Shchepin, Evgeny
core  

Modeling and Improving Geometric Accuracy in Projection Multiphoton Lithography

Advanced Optical Materials, EarlyView.
A numerical framework describing the optical and photochemical processes is developed to elucidate the origins of geometric deviations in projection multiphoton lithography. The results indicate that oxygen diffusion and inhibition, and DMD diffraction, lead to geometric distortions.
Anwarul Islam Akash, Jason E. Johnson, Xianfan Xu   +2 more
wiley   +1 more source

An Elliptic Analogue Of Generalized Cotangent Dirichlet Series And Its Transformation Formulae At Some Integer Arguments [PDF]

, 2011
B.C. Berndt evaluated special values of the cotangent Dirichlet series. T. Arakawa studied a generalization of the series, or generalized cotangent Dirichlet series, and gave its transformation formulae.
Machide, T.
core  

Crystal constructions in Number Theory

, 2018
Weyl group multiple Dirichlet series and metaplectic Whittaker functions can be described in terms of crystal graphs. We present crystals as parameterized by Littelmann patterns and we give a survey of purely combinatorial constructions of prime power ...
A Berenstein, A Berenstein, A Braverman, Angèle M. Hamel, Arkady Berenstein, B Brubaker, B Brubaker, B Brubaker, Ben Brubaker, Ben Brubaker, D Bump, Daniel Bump, G Chinta, G Chinta, G Chinta, G Lusztig, G Lusztig, G Lusztig, Gautam Chinta, H Davenport, H Matsumoto, Holley Friedlander, J Beineke, J Kamnitzer, J Neukirch, Jennifer Beineke, K Yamamoto, M Kashiwara, M Patnaik, N Bourbaki, P Littelmann, P Littelmann, Peter J. McNamara, PJ McNamara, S Friedberg, Takeshi TOKUYAMA, W Casselman   +36 more
core   +1 more source

Determinants of Knowledge and Usage of Generative Artificial Intelligence in Agricultural Extension: Evidence From Tennessee Extension Personnel

Agribusiness, EarlyView.
ABSTRACT This paper examines the determinants of generative AI (GenAI) knowledge and usage among agricultural extension professionals. Drawing on survey data from agricultural extension personnel in Tennessee, we employ regression analyses and latent Dirichlet allocation (LDA) for topic modeling of open‐ended responses to study the knowledge and usage ...
Abdelaziz Lawani, Jason de Koff, James Muriuki, Anna‐Liisa Ihuhwa   +3 more
wiley   +1 more source

On the non-randomness of modular arithmetic progressions: a solution to a problem by V. I. Arnold [PDF]

Discrete Mathematics & Theoretical Computer Science, 2006
We solve a problem by V. I. Arnold dealing with "how random" modular arithmetic progressions can be. After making precise how Arnold proposes to measure the randomness of a modular sequence, we show that this measure of randomness takes a simplified form
Eda Cesaratto, Alain Plagne, Brigitte Vallée   +2 more
doaj   +1 more source

A Dual‐Ion Multiphysics Model for Smart and Sustainable Sensors Based on Bacterial Cellulose

Advanced Intelligent Systems, EarlyView.
Bacterial cellulose (BC), functionalized with ionic liquids (ILs) and conductive polymers, offers promise for sustainable sensor applications. To enable real‐world integration, this work presents the first dual‐carrier, multiphysics white‐box model of mechanoelectric transduction in BC–IL sensors, combining mechanical deformation and ion transport ...
Francesca Sapuppo, Giovanna Di Pasquale, Salvatore Graziani, Sara Sadat Hosseini, Luca Patané, Antonino Pollicino, Carlo Trigona, Maria Gabriella Xibilia   +7 more
wiley   +1 more source

Some Results on Harmonic Type Sums

Düzce Üniversitesi Bilim ve Teknoloji Dergisi, 2020
In this study, we consider the summatory function of convolutions of theMöbius function with harmonic numbers, and we show that these summatoryfunctions are linked to the distribution of prime numbers.
Haydar Göral, Doğa Can Sertbaş
doaj   +1 more source

On Dirichlet series similar to Hadamard compositions in half-plane

Karpatsʹkì Matematičnì Publìkacìï, 2023
Let $F(s)=\sum\limits_{n=1}^{\infty}a_n\exp\{s\lambda_n\}$ and $F_j(s)=\sum\limits_{n=1}^{\infty}a_{n,j}\exp\{s\lambda_n\},$ $j=\overline{1,p},$ be Dirichlet series with exponents $0\le\lambda_n\uparrow+\infty,$ $n\to\infty,$ and the abscissas of ...
A.I. Bandura, O.M. Mulyava, M.M. Sheremeta   +2 more
doaj   +1 more source

Iteration of Composition Operators on small Bergman spaces of Dirichlet series

Concrete Operators, 2018
The Hilbert spaces ℋw consisiting of Dirichlet series F(s)=∑n=1∞ann-s$F(s) = \sum\nolimits_{n = 1}^\infty {{a_n}{n^{ - s}}}$ that satisfty ∑n=1∞|an|2/wn 0 and {wn}n having average order (logj+n)α${(\log _j^ + n)^\alpha }$, that the composition operators ...
Zhao Jing
doaj   +1 more source