Results 51 to 60 of about 46,123 (300)
Binomial coefficients and Jacobi sums
, 1984 Throughout this paper e e denotes an integer ⩾ 3 \geqslant 3 and p p a prime ≡ 1 ( mod e ) \equiv \
Richard H. Hudson, Kenneth S. Williams
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Advanced Science, EarlyView.We introduce AutomataGPT, a generative pretrained transformer (GPT) trained on synthetic spatiotemporal data from 2D cellular automata to learn symbolic rules. Demonstrating strong performance on both forward and inverse tasks, AutomataGPT establishes a scalable, domain‐agnostic framework for interpretable modeling, paving the way for future ...
Jaime A. Berkovich +2 more
wiley +1 more source
Advanced Science, EarlyView.Integrated multi‐omic profiling maps the gene‐regulatory landscape of the coelomic mesothelium across heart, lung, and pancreas. A cardiac‐restricted regulatory program is uncovered in which TBX20 activates heart mesothelial (epicardial) cis‐regulatory elements, while MAF emerges as a conserved regulator of mesothelial identity.
Quang Minh Dang +3 more
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Statistics on Lattice Walks and q-Lassalle Numbers [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 This paper contains two results. First, I propose a $q$-generalization of a certain sequence of positive integers, related to Catalan numbers, introduced by Zeilberger, see Lassalle (2010).
Lenny Tevlin
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An upper bound on binomial coefficients in the de Moivre – Laplace form
Журнал Белорусского государственного университета: Математика, информатика, 2022 We provide an upper bound on binomial coefficients that holds over the entire parameter range an whose form repeats the form of the de Moivre – Laplace approximation of the symmetric binomial distribution.
Sergey V. Agievich
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Advanced Science, EarlyView.Pancreatic neuroendocrine tumors frequently silence MEN1 through epigenetic mechanisms. Here, SIRT7 recruits DNMT1 to the MEN1 promoter, drives hypermethylation, and enhances DNA repair. Inhibiting SIRT7 restores MEN1, reduces MRN complex abundance, impairs double‐strand break repair, and sensitizes PanNET models to radiation, supporting SIRT7 as a ...
Jianyun Jiang +11 more
wiley +1 more source
Analysis of Combinatorial Binomial Coefficients and Series
, 2023 This paper analyzes the binomial coefficients used in the combinatorial geometric series. The analysis and design of the binomial coefficient can enable the researchers to solve the scientific ...
Chinnaraji Annamalai
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Can we detect Gaussian curvature by counting paths and measuring their length?
Revista Integración, 2020 The aim of this paper is to associate a measure for certain sets of paths in the Euclidean plane R2 with fixed starting and ending points. Then, working on parameterized surfaces with a specific Riemannian metric, we define and calculate the integral of ...
Leonardo A. Cano G., Sergio A. Carrillo
doaj
Advanced Science, EarlyView.This study constructed the first spatiotemporal multi‐omics map of peach fruit and discovered a key candidate gene that synergistically regulates trichome development and drought tolerance through the jasmonic acid signaling pathway, providing insights into the coupling mechanism between development and stress resistance.
Zhixin Liu +9 more
wiley +1 more source