Results 11 to 20 of about 2,136,804 (225)
A question of Bukh on sums of dilates
Discrete Analysis, 2021 A question of Bukh on sums of dilates, Discrete Analysis 2021:13, 21 pp. Let $A$ and $B$ be subsets of an Abelian group. Their sumset $A+B$ is defined to be the set of all $a+b$ such that $a\in A$ and $b\in B$.
Brandon Hanson, Giorgis Petridis
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GENERALIZATION OF PARTITION FUNCTION, INTRODUCING SMARANDACHE FACTOR PARTITION [PDF]
, 2004 Partition function P(n) is defined as the number of ways that a positive integer can be expressed as the sum of positive integers.
Murthy, Amarnath
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Why Use a Fuzzy Partition in F-Transform?
Axioms, 2019 In many application problems, F-transform algorithms are very efficient. In F-transform techniques, we replace the original signal or image with a finite number of weighted averages.
Vladik Kreinovich +2 more
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Polynomial bound for the partition rank vs the analytic rank of tensors
Discrete Analysis, 2020 Polynomial bound for the partition rank vs the analytic rank of tensors, Discrete Analysis 2020:7, 18 pp. There are a number of proofs in additive combinatorics that involve bilinear forms on $\mathbb F_p^n$ that split into a high-rank case and a low ...
Oliver Janzer
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THE GROTHENDIECK CONSTANT IS STRICTLY SMALLER THAN KRIVINE’S BOUND
Forum of Mathematics, Pi, 2013 The (real) Grothendieck constant ${K}_{G} $ is the infimum over those $K\in (0, \infty )$ such that for every $m, n\in \mathbb{N} $ and every $m\times n$ real matrix $({a}_{ij} )$ we have $$\begin{eqnarray*}\displaystyle \max _{\{ x_{i}\} _{i= 1}^{m} , \{
MARK BRAVERMAN +3 more
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PROGRAM FOR FINDING OUT NUMBER OF SMARANDACHE DISTINCT RECIPROCAL PARTITION OF UNITY OF A GIVEN LENGTH [PDF]
, 1997 Smarandache Distinct Reciprocal partition of unity for a given length 'n' is defined as the number of ways in which unity can be expressed as the sum of the reciprocals of 'n' distinct numbers.
Murthy, A.
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On the integrality gap of the maximum-cut semidefinite programming relaxation in fixed dimension
Discrete Analysis, 2020 On the integrality gap of the maximum-cut semidefinite programming relaxation in fixed dimension, Discrete Analysis 2020:10, 17 pp. MAXCUT, the problem of finding a partition of the vertices of a given graph into two sets that maximizes the number of ...
Fernando Mario de Oliveira Filho +1 more
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Constant Scalar Curvature Metrics on Connected Sums [PDF]
, 2001 The Yamabe problem (proved in 1984) guarantees the existence of a metric of constant scalar curvature in each conformal class of Riemannian metrics on a compact manifold of dimension $n \geq 3$, which minimizes the total scalar curvature of this ...
Joyce, D, Dominic Joyce, Joyce, Dominic
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Efficient arithmetic regularity and removal lemmas for induced bipartite patterns
Discrete Analysis, 2019 Efficient arithmetic regularity and removal lemmas for induced bipartite patterns, Discrete Analysis 2019:3, 14 pp. This paper provides a common extension of two recent lines of work: the study of arithmetic regularity lemmas under the model-theoretic ...
Noga Alon, Jacob Fox, Yufei Zhao
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Design and analysis strategies for robust microbiome ageing research
FEBS Letters, EarlyView.The gut microbiome changes with age and associates with age‐related morbidity and mortality, establishing it as a potential biomarker and intervention target for ageing. Realising this potential requires methodological rigour, yet distinguishing biological signals from methodological artefacts remains challenging across cohorts. This review provides an
Mark Olenik +5 more
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