Results 11 to 20 of about 10,838,318 (324)

On the Lovász Theta function for Independent Sets in Sparse Graphs [PDF]

Symposium on the Theory of Computing, 2015
We consider the maximum independent set problem on graphs with maximum degree d. We show that the integrality gap of the Lovasz Theta function-based SDP has an integrality gap of O~(d/log3/2 d).
N. Bansal, Anupam Gupta, Guru Guruganesh
semanticscholar   +1 more source

The reverse Holder inequality for an elementary function

Математичні Студії, 2021
For a positive function $f$ on the interval $[0,1]$, the power mean of order $p\in\mathbb R$ is defined by \smallskip\centerline{$\displaystyle \|\, f\,\|_p=\left(\int_0^1 f^p(x)\,dx\right)^{1/p}\quad(p\ne0), \qquad \|\, f\,\|_0=\exp\left(\int_0^1\ln ...
A.O. Korenovskii
doaj   +1 more source

On a partial theta function and its spectrum [PDF]

Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2015
The bivariate series defines a partial theta function. For fixed q (∣q∣ < 1), θ(q, ·) is an entire function. For q ∈ (–1, 0) the function θ(q, ·) has infinitely many negative and infinitely many positive real zeros. There exists a sequence of values of q
V. Kostov
semanticscholar   +1 more source

On inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions

Математичні Студії, 2020
In this paper, we introduce the concepts of inversely $\theta$-semi-open and inversely $\theta$-semi-closed functions and obtain their characterizations if it is possible in terms of $\theta$-closure and $\theta$-interior by using sets determined by the ...
J. Sanabria, E. Rosas, L. Vásquez
doaj   +1 more source

On second order mock theta function $ B(q) $

Electronic Research Archive, 2022
In this paper, we present some arithmetic properties for the second order mock theta function $ B(q) $ given by McIntosh as: $ B(q) = \sum\limits_{n = 0}^{\infty}\frac{q^n(-q;q^2)_n}{(q;q^2)_{n+1}}.
Harman Kaur, Meenakshi Rana
doaj   +1 more source

Error functions, Mordell integrals and an integral analogue of partial theta function [PDF]

, 2016
A new transformation involving the error function $\textup{erf}(z)$, the imaginary error function $\textup{erfi}(z)$, and an integral analogue of a partial theta function is given along with its character analogues.
Atul Dixit, Arindam Roy, A. Zaharescu
semanticscholar   +1 more source

Modelling conditional probabilities with Riemann-Theta Boltzmann Machines [PDF]

, 2019
The probability density function for the visible sector of a Riemann-Theta Boltzmann machine can be taken conditional on a subset of the visible units. We derive that the corresponding conditional density function is given by a reparameterization of the ...
Carrazza, Stefano, Krefl, Daniel, Papaluca, Andrea   +2 more
core   +2 more sources

Overpartitions related to the mock theta function $\omega(q)$ [PDF]

, 2016
It was recently shown that $q\omega(q)$, where $\omega(q)$ is one of the third order mock theta functions, is the generating function of $p_{\omega}(n)$, the number of partitions of a positive integer $n$ such that all odd parts are less than twice the ...
G. Andrews, Atul Dixit, Daniel Schultz, A. Yee   +3 more
semanticscholar   +1 more source

New congruences modulo powers of 2 for k-regular overpartition pairs [PDF]

Notes on Number Theory and Discrete Mathematics
Let ̄Bₖ(n) denote the number of k regular overpartition pairs where a k-regular overpartition pair of n is a pair of k-regular overpartitions (a,b) in which the sum of all the parts is n.
Riyajur Rahman, Nipen Saikia
doaj   +1 more source

A developmental examination of medial frontal theta dynamics and inhibitory control

NeuroImage, 2022
Medial frontal theta-band oscillations are a robust marker of action-outcome monitoring. In a large developmental sample (n = 432, 9–16 years), we examined whether phase and non-phase locked medial frontal theta power were related to inhibitory control ...
Stefon van Noordt, Taylor Heffer, Teena Willoughby   +2 more
doaj   +1 more source