Results 91 to 100 of about 1,205,068 (305)

On alternating sums of binomial coefficients and $q$-binomial coefficients

, 2016
In this paper we shall evaluate two alternating sums of binomial coefficients by a combinatorial argument. Moreover, by combining the same combinatorial idea with partition theoretic techniques, we provide $q$-analogues involving the $q$-binomial coefficients.
openaire   +2 more sources

Integrated Multi‐Omics Reveals Cellular States and Microenvironmental Remodeling in Coexisting DCIS and IDC

Advanced Science, EarlyView.
Coexisting DCIS and IDC samples are profiled using spatial transcriptomics, single‐cell RNA sequencing, and single‐cell DNA sequencing. Integrative multi‐omics analysis reveals distinct malignant epithelial and microenvironmental features between DCIS and IDC, which are further validated using Xenium and multiplex immunohistochemistry.
Ning Zhang, Tong Wan, Siyue Zhang, Yunzhen Jiang, Peng Su, Jixin Liu, Zhitong Chen, Jie Hao, Haoyu Wang, Bing Chen, Wenjing Zhao, Lijuan Wang, Tao Xing, Qihuang Zhang, Ulf Schmitz, Zhiyong Ding, Nicola Crosetto, Bingqiang Liu, Qifeng Yang   +18 more
wiley   +1 more source

Psychrotrophic and thermoduric psychrotrophic microorganisms enumeration in milk: comparison of methods

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, José Carlos Ribeiro Júnior, Ronaldo Tamanini, João Paulo Andrade de Araújo, Alberto Koji Yamada, Nayara da Silva Antônio   +5 more
doaj   +1 more source

Is the binomial coefficient $2n \choose n$ square free?

, 1995
In this paper, we prove the Erd\"os conjecture that the binomial coefficient ${2n \choose n}$ is never square free, for all $n>4$
Velammal, G
core   +1 more source

DUET‐seq: An Open‐Source Droplet Platform for High‐Fidelity Joint Chromatin and Transcriptome Profiling Reveals Temporal Regulatory Decoupling in Single Cells

Advanced Science, EarlyView.
DUET‐seq is an open‐source droplet platform that jointly profiles chromatin accessibility and gene expression from the same nucleus. Dissolvable dual‐linker hydrogel beads and a one‐step intra‐droplet RT‐PCR co‐index both modalities in under 12 h at roughly $0.04 per cell.
Dong Cheng, Zijun Meng, Lan Wei, Pingjing Yang, Fanfan Zhang, Zhiyi Luo, Ting Lai, Chunli Li, Mengyao Zhao, Mengqin Xu, Jiaqi Wang, Linjun Li, Huarong Chen, Jin Li, Ailong Huang, Youquan Bu, Liuyang Zhao   +16 more
wiley   +1 more source

Well-poised q-series and new Fibonomial-like sums

Kuwait Journal of Science
We introduce various sum formulae involving products of two Fibonomial/Lucanomial coefficients or quotients of two such coefficients over a third one.
Chu W., Kılıç E.
doaj   +1 more source

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

Repeated sums and binomial coefficients

Open Journal of Discrete Applied Mathematics, 2021
Binomial coefficients have been used for centuries in a variety of fields and have accumulated numerous definitions. In this paper, we introduce a new way of defining binomial coefficients as repeated sums of ones. A multitude of binomial coefficient identities will be shown in order to prove this definition.
openaire   +2 more sources

The Chernoff Modification of the Fisher Exact Test for the Difference of Two Binomial Probabilities [PDF]

To test the difference of two binomial probabilities, we will apply the Fisher exact test modified by Chernoff (2002), which will be called CMF test. The key idea is to use the P-value of Fisher exact test as a test statistic and this makes it possible ...
Takahashi, Hajime, Uematsu, Kazuki
core  

Livelihood Diversification as an Adaptation Strategy to Climate Change and Household Food Security of Livestock Holders in Pakistan

Agribusiness, EarlyView.
ABSTRACT Rural farm households continue to face significant risks from climate change, resulting in many of them diversifying their livelihood sources into other income‐generating activities to increase their incomes and improve food and nutrition security. In this study, we examine the drivers and impact of farm households' participation in livelihood
Mahwish Arshad, Awudu Abdulai
wiley   +1 more source