Results 51 to 60 of about 54,043 (268)

Cubic binomial Fibonacci sums [PDF]

Electronic Journal of Mathematics, 2021
Kunle Adegoke, Adenike Olatinwo, Sourangshu Ghosh   +2 more
doaj   +1 more source

The Janjić–Petković Inset Counting Function: Riordan Array Properties and a Thermodynamic Application

Mathematics
Let q1+⋯+qn+m objects be arranged in n rows with q1,…,qn objects and one last row with m objects. The Janjić–Petković counting function denotes the number of (n+k)-insets, defined as subsets containing n+k objects such that at least one object is chosen ...
Marcus Kollar
doaj   +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, Yijuan Wang, Dengwang Chen, Yinghan Zhang, Yi Shuai, Hualiang Yao, Tao Jiang, Hang Jiang, Ming Zhong, Xiangeng Wang, Ziwei Wang, Chenchen Xu, Ajay Goel, Hoi Tang MA, Feng Gao, Xin Wang   +15 more
wiley   +1 more source

Bernstein-type approximations of smooth functions

Statistica, 2007
The Bernstein-type approximation for smooth functions is proposed and studied. We propose the Bernstein-type approximation with definitions that directly apply the binomial distribution and the multivariate binomial distribution.
Andrea Pallini
doaj   +1 more source

Heat Stress Promotes Fibroblast‐Derived WNT5A Secretion Through m6A Modification to Activate Melanogenesis

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, Yaqing Wen, Yushan Zhang, Lan Zhang, Jianjian Zhu, Zhen Tang, Ling Jiang, Chuhan Fu, Shu Zhou, Keyi Zhang, Jiangfeng Huang, Li Lei, Jing Chen, Qinghai Zeng   +13 more
wiley   +1 more source

A Note on Extended Binomial Coefficients

J. Integer Seq., 2014
We study the distribution of the extended binomial coefficients by deriving a complete asymptotic expansion with uniform error terms. We obtain the expansion from a local central limit theorem and we state all coefficients explicitly as sums of Hermite polynomials and Bernoulli numbers.
openaire   +6 more sources

TSTScope Unifies Single‐Cell Multi‐Omics to Identify Functional T Cell States Predictive of Immunotherapy Response

Advanced Science, EarlyView.
TSTScope is an interpretable AI framework that integrates single‐cell transcriptomes with TCR information through curated gene‐program constraints. By linking receptor context to functional T cell states, it reveals response‐associated tumor‐specific T cell programs in lung cancer immunotherapy cohorts and defines an MPR score associated with ...
Shiwei Cao, Jinyu Cheng, Feng‐ao Wang, Chenxin Yi, Jiajun Chen, Keyue Wang, Lulu Liu, Junwei Liu, Yixue Li   +8 more
wiley   +1 more source

Some divisibility properties of binomial and q -binomial coefficients

Journal of Number Theory, 2014
We first prove that if $a$ has a prime factor not dividing $b$ then there are infinitely many positive integers $n$ such that $\binom {an+bn} {an}$ is not divisible by $bn+1$. This confirms a recent conjecture of Z.-W. Sun. Moreover, we provide some new divisibility properties of binomial coefficients: for example, we prove that $\binom {12n} {3n}$ and
Krattenthaler, Christian, Guo, Victor J. W.   +1 more
openaire   +4 more sources

Voluntary Collective Action to Address Growing Agricultural Challenges in Two Countries: Experimental Insights and Commonalities

Applied Economic Perspectives and Policy, EarlyView.
ABSTRACT We conducted two framed field economic experiments with citrus farmers in Florida, United States and soybean farmers in Argentina to investigate their willingness to coordinate pest and weed management efforts. Despite the contrast between these two agricultural contexts, we find striking behavioral commonalities.
Ariel Singerman, Sergio H. Lence
wiley   +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