Results 91 to 100 of about 55,236 (313)
Advanced Science, EarlyView.SPADE integrates spatial transcriptomics with single‐cell RNA sequencing by using cell–cell communications (CCC) as a guide for spatial mapping. It improves cell‐type localization, enhances sparse gene‐expression signals, and reveals CCC programs at single‐spot resolution.
Xinyi Li, Ning Zhang, Zijie Jin
wiley +1 more source
Multiple Sums of Circular Binomial Products
MathematicsFive classes of multiple sums about circular products of binomial coefficients are investigated. Their generating functions are explicitly expressed as rational functions, with coefficients being Fibonacci and Lucas numbers.
Marta Na Chen, Wenchang Chu
doaj +1 more source
Sum of the Reciprocals of the Binomial Coefficients
European Journal of Combinatorics, 1993 Let \(S_ n=\sum^ n_{k=0}{1 \over {n \choose k}}\). It is shown that \(S_ n\) satisfies the recurrence \(S_ n={n+1 \over 2n}S_{n-1}+1\). The proof can be simplified by observing that \[ n!S_ n=\sum^ n_{k=0}k!(n-k)!=n!+\sum^{n-1}_{k=0}k!(n-k-1)!(n+1-k-1) =n!+(n+ 1)(n-1)!S_{n-1}-(n!S_ n-n!). \]
openaire +1 more source
Binomial Identities on the Coefficients for Combinatorial Geometric Series
, 2022 This paper presents binomial identities and expansions on the binomial coefficients for combinatorial geometric series. The coefficient for each term in combinatorial geometric series denotes a binomial coefficient.
Chinnaraji Annamalai
core +1 more source
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
Triple Symmetric Sums of Circular Binomial Products
MathematicsBy employing the generating function approach, 16 triple sums for circular binomial products of binomial coefficients are examined. Recurrence relations and generating functions are explicitly determined.
Marta Na Chen, Wenchang Chu
doaj +1 more source
Agribusiness, EarlyView.ABSTRACT This paper explores the convergence in on‐farm diversification strategies of agricultural holdings, between remote areas and more central ones. Using Italian farm‐level data, we explore the determinants of diversification strategies across farms.
Gianluca Grilli +2 more
wiley +1 more source
Multinomial Theorem on the Binomial Coefficients for Combinatorial Geometric Series
, 2022 This paper presents a multinomial theorem on the binomial coefficients for combinatorial geometric series. The coefficient for each term in combinatorial geometric series denotes a binomial coefficient.
Chinnaraji Annamalai
core +1 more source
Annals of Gastroenterological Surgery, EarlyView.Robotic‐assisted rectal resection in Japan increased markedly after national insurance reimbursement in 2018, with a concurrent decline in open surgery. Using NDB Open Data, we found substantial inter‐prefectural heterogeneity in surgical volume and robotic utilization that persisted after age and sex standardization (SCR). Urban–rural differences were
Ryo Ohta +9 more
wiley +1 more source
Revista do Instituto de Latícinios Cândido Tostes, 2015 The aim of the present study was to evaluate whether the binomial temperature/time of 21 ºC for 25 hours, already validated for enumeration of psychrotrophics in milk, presents viability for enumeration of thermoduric psychrotrophic, comparing counts of ...
Vanerli Beloti +5 more
doaj +1 more source