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Subjects / keywords: combinatorics, ordered algebraic structures, enumerative combinatorics; Science: Mathematics

Subjects / keywords: combinatorics, graph theory, discrete mathematics; Science: Mathematics

Subjects / keywords: mathematics, combinatorics; Science: Mathematics

Subjects / keywords: discrete mathematics, combinatorics, graph theory, computer science; Science: Mathematics

Subjects / keywords: mathematics, ombinatorics; Science: Mathematics

Subjects / keywords: graphs and hypergraphs, network theory, combinatorial optimization, coding theory, block designs; Science: Mathematics

Inverse rising factorial moments [Formula: see text] are fundamental quantities for positive integer-valued random variables, with broad applications in probability and combinatorics. Despite their importance, there is a...

Subjects / keywords: combinatorics, physics; Science: Mathematics

Subjects / keywords: combinatorics, commutative algebra, group theory, topological groups, functional analysis, operator theory; Science: Mathematics

PURPOSE: The Compendium of Physical Activities was developed to enhance the comparability of results across studies using self-report physical activity (PA) and is used to quantify the energy cost of a wide variety of PA...

The quantum spin Hall (QSH) phase is a time reversal invariant electronic state with a bulk electronic band gap that supports the transport of charge and spin in gapless edge states. We show that this phase is associated...

Recently, a number of researchers have investigated a class of graph partitioning algorithms that reduce the size of the graph by collapsing vertices and edges, partition the smaller graph, and then uncoarsen it to const...

Abstract Two fuzzy versions of the k-means optimal, least squared error partitioning problem are formulated for finite subsets X of a general inner product space. In both cases, the extremizing solutions are shown to be ...

A NEW MEASURE OF RANK CORRELATION M. G. KENDALL M. G. KENDALL Search for other works by this author on: Oxford Academic Google Scholar Biometrika, Volume 30, Issue 1-2, June 1938, Pages 81–93, https://doi.org/10.1093/b...

A method is described for the minimization of a function of n variables, which depends on the comparison of function values at the (n + 1) vertices of a general simplex, followed by the replacement of the vertex with the...

Abstract. This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of convex constraints. This problem may be understood as the convex relaxation of a r...

Let $M(x)$ denote the expected value at level $x$ of the response to a certain experiment. $M(x)$ is assumed to be a monotone function of $x$ but is unknown to the experimenter, and it is desired to find the solution $x ...

A method for identifying clusters of points in a multidimensional Euclidean space is described and its application to taxonomy considered. It reconciles, in a sense, two different approaches to the investigation of the s...

We propose a simple analytic representation of the correlation energy ${\mathrm{\ensuremath{\varepsilon}}}_{\mathit{c}}$ for a uniform electron gas, as a function of density parameter ${\mathit{r}}_{\mathit{s}}$ and rela...

We discuss the following problem: given a random sample $\mathbf{X} = (X_1, X_2, \cdots, X_n)$ from an unknown probability distribution $F$, estimate the sampling distribution of some prespecified random variable $R(\mat...

Abstract This article describes the latest development of a generic approach to detecting and visualizing emerging trends and transient patterns in scientific literature. The work makes substantial theoretical and method...

Subjects / keywords: Mathematics; Normalization (sociology); Bounded function; Measure (data warehouse); Probabilistic logic; Cluster analysis; Partition (number theory); Combinatorics; Discrete mathematics; Statistics; Computer science; Dat...

Subjects / keywords: Toolbox; Computer science; Centrality; Functional connectivity; Complex network; Network analysis; Resilience (materials science); Artificial intelligence; Neuroscience; Machine learning; Psychology; Combinatorics

Suppose x is an unknown vector in Ropf m (a digital image or signal); we plan to measure n general linear functionals of x and then reconstruct. If x is known to be compressible by transform coding with a known transform...