搜索结果: 1-12 共查到“数理逻辑与数学基础 note”相关记录12条 . 查询时间(0.078 秒)
A Note on Schanuel's Conjectures for Exponential Fields
Note Schanuel's Conjectures Exponential Fields
2012/4/18
We apply a result of J. Ax [On Schanuel's Conjectures, Annals of Mathematics 93 (1971), 252-268] to differential valued exponential fields. In particular, we establish Schanuel's conjecture regarding ...
A note on Exact solution of SIR and SIS epidemic models
SIR and SIS Epidemiology Exact Solution
2011/2/25
In this article we have successfully obtained an exact solution of a particular case of SIR and SIS epidemic models given by Kermack and Mckendrick [1] for constant population, which are described by ...
A note on the Petri loci
note Petri loci
2011/1/18
Let Mg be the course moduli space of complex projective nonsingular curves of genus g.
Dimer models are introduced by string theorists (see e.g. [6, 7, 8, 11, 12, 13]) to study supersymmetric quiver gauge theories in four dimensions. A dimer model is a bicolored graph on a 2-torus which...
A note about the uniform distribution on the intersection of a simplex and a sphere
uniform distribution sphere
2010/11/23
Uniform probability distributions on $\ell_p$ balls and spheres have been studied extensively and are known to behave like product measures in high dimensions. In this note we consider the uniform di...
A note on computational complexities of polynomial type
computational complexities polynomial type
2010/11/18
We introduce a notion of a polynomial type complexity of a multivariate polynomial. We provide examples of polynomial type complexities, including the determinantal complexity. We present two algorit...
We notice that Haynes-Hedetniemi-Slater Conjecture is true (i.e. $\gamma(G) \leq \frac{\delta}{3\delta -1}n$ for every graph $G$ of size $n$ with minimum degree $\delta \geq 4$, where $\gamma(G)$ is t...
Let $G$ be an arbitrary group. Let $\Z(G)$, $\Z_2(G)$, $\gamma_2(G)$ denote the center, the second center and the commutator subgroup of $G$. In this short note we prove that if $\gamma_2(G)$ is fini...
A note on the von Neumann algebra of a Baumslag-Solitar group
the von Neumann algebra Baumslag-Solitar group
2010/11/19
We study qualitative properties of the group von Neumann algebra of a Baumslag-Solitar group. Namely, we prove that, in the non-amenable and {ICC} case, the associated ${\rm II}_1$ factor is prime, no...
A note on knots with H(2)-unknotting number one
H(2)-unknotting number Goeritz matrix Ozsv´ ath-Szab´ o correction term Heegaard Floer homology
2010/12/8
We give an obstruction to unknotting a knot by adding a twisted band,derived from Heegaard Floer homology.
The most widely known result of Chevalley–Warning type states that if one has a polynomial over a finite field of characteristic p, and the number of variables exceeds the degree, then the number of z...
We present a generalization of Newton's inequality, i.e., an inequality of mixed form connecting symmetric functions and weighted means. Two open problems are also stated.
