Results 41 to 50 of about 46,762 (263)
Le Matematiche, 1996 We specialise an ingeniously contrived identity to obtain a plethora of startling combinatorial identities. Limiting cases include well known evaluations of ζ(2), ζ(4) and ζ(6).
Chu Wenchang
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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.Deep‐learning‐based signal enhancement is an effective way to recover high‐resolution details from a low‐resolution chromatin contact map. However, due to computational challenges, existing methods commonly divide up the contact map into small patches and create artificial discontinuities at patch boundaries.
Qinyao Li +6 more
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On divisibility of binomial coefficients
Discrete Mathematics, 1994 Let \(p\) be a prime and \(A(n,p)\) the \(p^ n\times p^ n\)-matrix with entries \(a_{ij}= \left(\begin{smallmatrix} i\\ j\end{smallmatrix}\right)\text{ mod }p\) for \(0\leq i,j< p^ n\). It is shown that \(A(n,p)\) is the \(n\)-fold tensor product of \(A(1,p)\) with itself. As an application a short proof is given that there are precisely \(\left(\begin{
openaire +2 more sources
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
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Advanced Science, EarlyView.Decoupling biological signals from unwanted variation in multi‑condition single‑cell RNA sequencing data remains challenging. CAPER disentangles condition‑associated biological effects from sample heterogeneity through matrix factorization, producing interpretable latent factors and a batch‑corrected expression matrix.
Ye Li +6 more
wiley +1 more source
Cell‐Selective Delivery of RIBOTACs via an Anti‐EGFR Nanobody for Pancreatic Cancer Treatment
Advanced Science, EarlyView.This study introduces an innovative strategy for the tumor‐selective catalytic degradation of oncogenic non‐coding RNA by interfacing a ribonuclease‐recruiting small molecule (RIBOTAC) with an EGFR‐targeting nanobody via a CTSB (Cathepsin B)‐responsive linker.
Tianli Luo +15 more
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A Panel of Circulating Exosomal sncRNAs Associated With Lung Cancer Risk up to 10 Years in Advance
Advanced Science, EarlyView.Lung cancer is often diagnosed too late, and current screening overlooks many people at risk. In a long‐term study of smokers, a panel of small non‐coding RNAs carried in blood exosomes signals elevated lung cancer risk up to ten years before diagnosis, pointing toward a blood‐based tool for earlier risk detection.
Zhuokun Feng +12 more
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Advanced Science, EarlyView.Heat stress promotes WNT5A secretion from fibroblasts via METTL3/YTHDC1‐dependent m6A methylation. Subsequently, WNT5A binds to FZD10 on melanocytes, activating β‐catenin‐driven melanogenesis. ABSTRACT As the impact of global warming continues to intensify, the effects of heat stress on the skin are becoming increasingly evident.
Yuanyuan Wan +13 more
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