Results 1 to 10 of about 1,070,654 (256)
Equipartition of interval partitions and an application to number theory [PDF]
Proceedings of the American Mathematical Society, 2001 Let \(x\in [0,1)\), \(x=.d_1d_2\cdots\) its decimal expansion and \(x=[0;a_1,a_2,\cdots ]\) its regular continued fraction (RCF) expansion. Let \(y=.d_1d_2\cdots d_n\) and \(z=y+10^{-n}\). Let \(y=[0;b_1, b_2, \ldots , b_l]\) and \(z=[0;c_1, c_2, \ldots , c_k]\) be the RCF expansion of \(y\) and \(z\). Let \(m(n,x)=\max\{i\leq \min(l,k): \text{for all }
Karma Dajani, Adam Fieldsteel
openalex +5 more sources
Studies in Additive Number Theory by Circles of Partition
, 2020 59 pages; asymptotic proofs of the binary Goldbach and Lemoine conjecture ...
Theophilus Agama, Berndt Gensel
+6 more sources
Partition Problems in Additive Number Theory
Journal of Number Theory, 1996 Let \(A\) be a subset of integers. Let \[ \sum(A)= \Biggl\{ \sum_{b\in B} b: B\text{ is a non-empty finite subset of }A\Biggr\}. \] Let \(f_k(n)\) be the minimal integer such that if \([f_k(n)]= \bigcup^k_{i=1} A_i\) then \(n\in \bigcup^k_{i= 1}\sum (A_i)\). In a previous paper [\textit{B. Bollobás}, \textit{P. Erdős} and \textit{G.
Béla Bollobás, Guoping Jin
openalex +3 more sources
Revista Música, 2021 In this paper we present a mathematically oriented analysis of the 4th Movement of György Ligeti’s Musica Ricercata (MR). The pitch analysis is based on Theory of Information and rhythm is analyzed through the Theory of Partitions of integer numbers. After a brief historical review of Musica Ricercata and its structure we make an analysis of the pitch ...
Adolfo Maia, Igor Leão Maia
openalex +4 more sources
Numerical Reconstruction Model and Simulation Study of Concrete Based on Damaged Partition Theory and CT Number [PDF]
Materials, 2019 The applicability of mesoscopic models plays an important role in studying the mesoscopic mechanical properties of concrete. In this study, the computerized tomography (CT) test of concrete under uniaxial compression conditions is conducted using a portable dynamic loading equipment developed by Xi’an University of Technology and a medical Marconi ...
Jianyin Fang +5 more
openalex +5 more sources
A note on circle compactification of tensile ambitwistor string [PDF]
Nuclear Physics B, 2018 We discuss a number of problems associated with the circle compactification of the bosonic tensile ambitwistor string with the asymmetric vacuum choice.
Kanghoon Lee, J.A. Rosabal
doaj +4 more sources
Bosonic partition functions at nonzero (imaginary) chemical potential
Journal of High Energy Physics, 2017 We consider bosonic random matrix partition functions at nonzero chemical potential and compare the chiral condensate, the baryon number density and the baryon number susceptibility to the result of the corresponding fermionic partition function. We find
M. Kellerstein, J.J.M. Verbaarschot
doaj +3 more sources
Exact partition function in $U(2)\times U(2)$ ABJM theory deformed by mass and Fayet-Iliopoulos terms [PDF]
, 2015 We exactly compute the partition function for $U(2)_k\times U(2)_{-k}$ ABJM theory on $\mathbb S^3$ deformed by mass $m$ and Fayet-Iliopoulos parameter $\zeta $. For $k=1,2$, the partition function has an infinite number of Lee-Yang zeros. For general $k$
Russo, Jorge G., Silva, Guillermo A.
core +6 more sources
Characteristic of partition-circuit matroid through approximation number [PDF]
IEEE International Conference on Granular Computing, 2012 Rough set theory is a useful tool to deal with uncertain, granular and incomplete knowledge in information systems. And it is based on equivalence relations or partitions.
Liu, Yanfang, Zhu, William
core +2 more sources
Quantum gravity effects on the thermodynamic stability of 4D Schwarzschild black hole
Journal of High Energy Physics, 2017 Based on the Euclidean approach, we consider the effects of quantum gravity and mass-less matter on the thermodynamic properties of Schwarzschild black hole.
Basem Kamal El-Menoufi
doaj +3 more sources