Building off of recent results on Keisler's order, we show that consistently,
≤SP​ has infinitely many classes. In particular, we define the property
of ≤k-type amalgamation for simple theories, for each 2≤k<ω. If...
Quelques remarques sur les vari{\'e}t{\'e}s, fonctions de Green et
formule de Stokes
April 20, 2018
|
Mathematics
General Mathematics
General Mathematics
We give some remarks on some manifolds K3 surfaces, Complex projective
spaces, real projective space and Torus and the classification of two
dimensional Riemannian surfaces, Green functions and the Stokes formula. We
also, talk about traces...
On Asymptotic Formula for the First Moment of the Riemann Zeta-Function
on the Critical Line
April 20, 2018
|
Mathematics
Number Theory
In the present paper the asymptotic formulae for the first moment of the
Riemann zeta-function on the critical line is proven under assumption of the
Riemann Hypothesis....
On the non-inner automorphism conjecture of finite p-groups
April 20, 2018
| |
Mathematics
Group Theory
A long-standing conjecture asserts that every finite non-abelian p-group
has a non-inner automorphism of order p. In this paper, we settle the
conjecture for a finite p-group (p>2) of nilpotency class n with certain
conditions....
Quantum Lov\'asz Local Lemma: Shearer's Bound is Tight
April 19, 2018
| | |
Computer Science
Physics
Computational Complexity
Quantum Physics
The Lov\'asz Local Lemma (LLL) is a very powerful tool in combinatorics and
probability theory to show the possibility of avoiding all bad events under
some weakly dependent conditions. In a seminal paper, Ambainis, Kempe, and
Sattath (JACM...
The Jordan lattice completion and a note on injective envelopes and von
Neumann algebras
April 16, 2018
Mathematics
Operator Algebras
Functional Analysis
The article associates two fundamental lattice constructions with each
regular unital real ordered Banach space (function system). These are used to
establish certain results in the theory of operator algebras, specifically
relating the inj...
Generalized permutohedra in the kinematic space
April 15, 2018
Mathematics
Physics
Combinatorics
High Energy Physics - Theory
In this note, we study the permutohedral geometry of the poles of a certain
differential form introduced in recent work of Arkani-Hamed, Bai, He and Yan.
There it was observed that the poles of the form determine a family of
polyhedra which...
Recognizing Visibility Graphs of Polygons with Holes and
Internal-External Visibility Graphs of Polygons
April 13, 2018
| |
Computer Science
Computational Complexity
Computational Geometry
Visibility graph of a polygon corresponds to its internal diagonals and
boundary edges. For each vertex on the boundary of the polygon, we have a
vertex in this graph and if two vertices of the polygon see each other there is
an edge betwee...
Symmetry operators and generation of symmetry transformations of partial
differential equations
April 12, 2018
Mathematics
Analysis of PDEs
The study of symmetries of partial differential equations (PDEs) has been
traditionally treated as a geometrical problem. Although geometrical methods
have been proven effective with regard to finding infinitesimal symmetry
transformations,...
Compact Formulation of the First Evolution Equation for Optimal Control
Computation
April 9, 2018
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Computer Science
Mathematics
Systems and Control
Optimization and Control
Systems and Control
Optimization and Control
The first evolution equation is derived under the Variation Evolving Method
(VEM) that seeks optimal solutions with the variation evolution principle. To
improve the performance, its compact form is developed. By replacing the states
and co...