Results 81 to 90 of about 180,663 (331)
Wind‐driven seed dispersal differentially promotes seed trapping and retention across alpine plants
Abstract Premise Seed dispersal can mediate species interactions between plants across life stages. Plants can physically stop seed movement (seed trapping) and prevent further dispersal following entrapment (seed retention). We therefore hypothesized seed trapping and retention rates depend on the physical attributes of interacting seeds and plants ...
Courtenay A. Ray +7 more
wiley +1 more source
Repeated sums and binomial coefficients
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
A Continuous Analogue of Lattice Path Enumeration: Part II
Here are exhibited some additional results about the continuous binomial coefficients as introduced by L. Cano and R.
Vignat, C., Wakhare, T.
core
Abstract Although peer support is central to the social model approach emphasized in sober living houses (SLHs), no longitudinal studies have examined helping among SLH residents. This longitudinal study examined benefits of helping in three contexts among SLH residents. Data were from 205 participants entering 28 SLHs across 2021–2023. Interviews were
Sarah E. Zemore +4 more
wiley +1 more source
Ascending and Descending Orders of Annamalai's Binomial Coefficient
Chinnaraji Annamalai
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Multiple Sums of Circular Binomial Products
Five 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
Number of odd binomial coefficients [PDF]
Let F ( n ) F(n) denote the number of odd numbers in the first n rows of Pascal’s triangle, and θ = ( log 3 ) / log 2 ) \theta = (\log 3)/\log 2) . Then α = lim
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Matrix products of binomial coefficients and unsigned Stirling numbers
Marin Knežević +2 more
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Associations between inclusive community coalition leadership and use of evidence‐based practices
Abstract Community coalitions have the potential to elicit diverse participants' perspectives on complex issues and generate shared commitment to adaptive strategies. Ideally, these approaches have been found effective elsewhere. Despite evidence that leadership plays a generally important role in coalitions, there have been limited prior findings ...
Rebecca Wells +4 more
wiley +1 more source
Triple Symmetric Sums of Circular Binomial Products
By 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

