Results 81 to 90 of about 46,762 (263)
A variation on bisecting the binomial coefficients [PDF]
14 pages, four tables, two ...
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Parametric Integrals for Binomial Series with Harmonic Polynomials
Binomial series involving harmonic polynomials are expressed in terms of parametric integrals. By evaluating these parametric integrals, we establish several remarkable closed formulae for the infinite series containing both central binomial coefficients
Chunli Li, Wenchang Chu
doaj +1 more source
Some congruence properties of binomial coefficients and linear second order recurrences
Using elementary methods, the following results are obtained:(I) If p is prime, 0≤m≤n ...
Neville Robbins
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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 +16 more
wiley +1 more source
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
Binomial coefficients and quadratic fields [PDF]
Let E be a real quadratic field with discriminant d and let p be an odd prime not dividing d.
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Reduction of the sum of the weighted equal powers to explicit combinatorial representation
The paper contains the proof of the statement that the component of the sum of weighted powers with natural bases and equal parameters, dependent on weight coefficients, is equal to the sum of products of binomial and weight coefficients.
Alexander I Nikonov
doaj
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
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
Series associated with harmonic numbers, Fibonacci numbers and central binomial coefficients $binom{2n}{n}$ [PDF]
We find various series that involve the central binomial coefficients $binom{2n}{n}$, harmonic numbers and Fibonacci numbers. Contrary to the traditional hypergeometric function _pF_q approach, our method utilizes a straightforward transformation to ...
Segun Olofin Akerele +1 more
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