Results 111 to 120 of about 6,079,712 (233)
Robustness of the Sauer–Spencer Theorem
ABSTRACT We prove a robust version of a graph embedding theorem of Sauer and Spencer. To state this sparser analogue, we define G(p)$$ G(p) $$ to be a random subgraph of G$$ G $$ obtained by retaining each edge of G$$ G $$ independently with probability p∈[0,1]$$ p\in \left[0,1\right] $$, and let m1(H)$$ {m}_1(H) $$ be the maximum 1‐density of a graph ...
Peter Allen +3 more
wiley +1 more source
Extended generalized Hypergeometric probability distributions
A new class of discrete distributions namely extended generalized hypergeometric probability distributions (EGHPD) is introduced as a generalization of generalized hypergeometric probability distributions, generalized Gegenbauer distributions and ...
Kumar, C. Satheesh
core
Single‐cell and multi‐omics analyses identified THBS1+ macrophages as a terminally differentiated, hypoxia‐adaptive population driving coronary atherosclerosis through THBS1‐CD36 signaling with lymphatic endothelial cells. Targeting CD36 with SMS121 and leveraging a THBS1+ macrophage gene signature enabled therapeutic prediction and accurate risk ...
Jianpeng Li +4 more
wiley +1 more source
The dark diversity of compound flea communities increased from north to south. The dark diversity of compound flea communities increased from lower to higher altitudes. The dark diversity of component flea communities also increased from north to south but did not vary with altitude.
Juliana P. Sanchez +2 more
wiley +1 more source
On Exton's generalized quadruple hypergeometric functions and Chandel's function of matrix arguments
Upadhyaya, Lalit Mohan; Dhami, H.S.. (2002). On Exton's generalized quadruple hypergeometric functions and Chandel's function of matrix arguments.
Dhami, H.S., Upadhyaya, Lalit Mohan
core
Gibbons–Tsarev Type Systems and Eventual Identities
ABSTRACT We show that non‐diagonalizable reductions of the dKP equation associated with regular non‐semisimple F$F$‐manifolds cannot exist. The proof is based on the derivation and study of a generalized Gibbons–Tsarev system (gGT system) in the non‐semisimple/non‐diagonalizable setting.
Alessandro Arsie +3 more
wiley +1 more source
Moments of Student’s t-distribution: a unified approach
In this paper, new closed form formulae for moments of the (generalized) Student’s t-distribution are derived in the one dimensional case as well as in higher dimensions through a unified probability framework.
Justin Lars Kirkby +2 more
doaj +1 more source
ON CONTIGUITY RELATIONS FOR GENERALIZED HYPERGEOMETRIC FUNCTIONS
Summary: We derive formulas that generalize contiguity relations of Gauss hypergeometric functions to the case of hypergeometric functions satisfying differential equations of arbitrary order and also of solution matrices of their corresponding homogeneous differential equations.
openaire +3 more sources
Simonovits's theorem in random graphs
Abstract Let H$H$ be a graph with χ(H)=r+1$\chi (H) = r+1$. Simonovits's theorem states that, if H$H$ is edge‐critical, the unique largest H$H$‐free subgraph of Kn$K_n$ is its largest r$r$‐partite subgraph, provided that n$n$ is sufficiently large. We show that the same holds with Kn$K_n$ replaced by the binomial random graph Gn,p$G_{n,p}$ whenever H$H$
Ilay Hoshen, Wojciech Samotij
wiley +1 more source
Structural Properties and Integral Transforms of the k-Kummer Hypergeometric Function
In this paper, we study the k-Kummer hypergeometric function Mk(a,c;w), a generalization of the classical Kummer confluent hypergeometric function, arising as a solution of the k-confluent hypergeometric differential equation.
Enrique Alfonso Sánchez Pérez +3 more
doaj +1 more source

