Results 51 to 60 of about 152,870 (324)
Let \(N(n,m,r)\) denote the number of permutations of \(\{1,\ldots,n\}\) with \(m\) cycles and such that the numbers \(1,\ldots,r\) occur in distinct cycles, and let \({\mathcal N}(n,m,r)\) denote the number of partitions of \(\{1,\ldots,n\}\) into \(m\) non-empty disjoint sets such that \(1,\ldots,r\) are in distinct subsets.
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Abstract Walruses have been an important subsistence and cultural resource for humans and have been exploited for millennia across their distribution. This exploitation has contributed to severe declines in several populations and local extirpations.
Katrien Dierickx +6 more
wiley +1 more source
Boolean complexes for Ferrers graphs [PDF]
In this paper we provide an explicit formula for calculating the boolean number of a Ferrers graph. By previous work of the last two authors, this determines the homotopy type of the boolean complex of the graph. Specializing to staircase shapes, we show
Claesson, Anders +3 more
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Regional Shopping Objectives in British Grocery Retail Transactions Using Segmented Topic Models
ABSTRACT Understanding the customer behaviours behind transactional data has high commercial value in the grocery retail industry. Customers generate millions of transactions every day, choosing and buying products to satisfy specific shopping needs.
Mariflor Vega Carrasco +4 more
wiley +1 more source
Generalized Tepper’s Identity and Its Application
The aim of this paper is to study the Tepper identity, which is very important in number theory and combinatorial analysis. Using generating functions and compositions of generating functions, we derive many identities and relations associated with the ...
Dmitry Kruchinin +2 more
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A micro‐supercapacitor with electrodeposited iron oxyhydroxide (FeOOH) as the negative electrode and birnessite manganese oxide (MnO2) as the positive electrode achieves a 2 V working voltage, stable cycling in an aqueous electrolyte, and high energy and power densities of 21 μWh cm‐2 and 2.5 mW cm‐2 respectively.
Filipe Braga +6 more
wiley +1 more source
Block patterns in Stirling permutations [PDF]
We introduce and study a new notion of patterns in Stirling and $k$-Stirling permutations, which we call block patterns. We prove a general result which allows us to compute generating functions for the occurrences of various block patterns in terms of ...
Remmel, Jeffrey B. +1 more
core
Closed formulas for special bell polynomials by Stirling numbers and associate Stirling numbers
We derive two explicit formulas for two sequences of special values of the Bell polynomials of the second kind in terms of associate Stirling numbers of the second kind, give an explicit formula for associate Stirling numbers of the second kind in terms of the Stirling numbers of the second kind, and, consequently, present two explicit ...
Qi, Feng, Lim, Dongkyu
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Abstract Drawing on teacher agency as a conceptual framework, we explored the extent to which school teachers in secondary schools in England achieve agency in relation to teaching climate change and sustainability. This research provides a novel approach to understanding the relational and emergent qualities of teacher agency by bringing together ...
Nicola Walshe, Elizabeth A. C. Rushton
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At present, commercial geothermal power stations are mainly high‐temperature and medium‐temperature geothermal energy, while the large number of low‐temperature geothermal energy resources are rarely used for power generation applications.
Tan Zhili +3 more
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