The Fractal and The Recurrence Equations Concerning The Integer
Partitions
July 2, 2013
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Mathematics
Combinatorics
Dynamical Systems
Number Theory
Combinatorics
Dynamical Systems
Number Theory
This paper introduced a way of fractal to solve the problem of taking count
of the integer partitions, furthermore, using the method in this paper some
recurrence equations concerning the integer partitions can be deduced,
including the pen...
Antiglitch Inconsistent With Magnetar Model of AXP
July 2, 2013
Physics
High Energy Astrophysical Phenomena
The recently observed antiglitch of AXP 1E 2259+586 is inconsistent with
magnetar models, but may be explained as the consequence of sudden accretion of
retrograde matter or "propeller" interaction with surrounding matter. AXP/SGR
are expla...
Translational and great Darboux cyclides
June 8, 2013
Mathematics
Algebraic Geometry
Metric Geometry
A surface that is the pointwise sum of circles in Euclidean space is either
coplanar or contains no more than 2 circles through a general point. A surface
that is the pointwise product of circles in the unit-quaternions contains
either 2, 3...
The Attractor-Cycle Notation for Finite Transformations
June 3, 2013
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Mathematics
Computer Science
Group Theory
Formal Languages and Automata Theory
We describe a new notation for finite transformations. This attractor-cycle
notation extends the orbit-cycle notation for permutations and builds upon
existing transformation notations. How the basins of attraction of a finite
transformatio...
Showcasing straight-line programs with memory via matrix Bruhat
decomposition
May 24, 2013
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Computer Science
Mathematics
Data Structures and Algorithms
Group Theory
We suggest that straight-line programs designed for algebraic computations
should be accompanied by a comprehensive complexity analysis that takes into
account both the number of fundamental algebraic operations needed, as well as
memory re...
About Asymptotic continuation of Einstein equation
May 22, 2013
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Physics
General Relativity and Quantum Cosmology
General Relativity and Quantum Cosmology
The energy density of the gravitational field is a full-fledged source of the
gravitational field. This principle of Einstein was not implemented by him in
the Einstein equation. Not long ago it was possible to find an energy-momentum
tenso...
Methods to Calculate the Upper Bound of Gini Coefficient Based on
Grouped Data and the Result for China
May 21, 2013
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Statistics
Methodology
Methodology
Determining an upper bound, particularly the optimal upper bound of the Gini
coefficient when dealing with grouped data without specified income brackets,
remains an important and open question. In this paper, we introduce an
efficient algo...
Curvature estimates for the level sets of solutions of the
Monge-Amp\`{e}re equation detD2u=1
May 12, 2013
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Mathematics
Analysis of PDEs
For the Monge-Amp\`{e}re equation detD2u=1, we find new auxiliary
curvature functions which attain respective maximum on the boundary. Moreover,
we obtain the upper bounded estimates for the Gauss curvature and mean
curvature of the l...
On the Galois-module structure of polydifferentials of
Artin-Schreier-Mumford curves, modular and integral representation theory
May 7, 2013
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Mathematics
Algebraic Geometry
Number Theory
Algebraic Geometry
Number Theory
We study the Galois-module structure of polydifferentials for Mumford curves,
defined over a field of positive charactersitic, using the theory of harmonic
cocycles. For the case of Artin-Schreier-Mumford curves the structure of
holomorphic...
On limit set of KdV flow: An extension of Remling theorem
April 24, 2013
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Mathematics
Spectral Theory
Spectral Theory
C. Remling obtained a theorem on limit set of the shift operation on a space
of functions on R when the associated 1-D half line Schr\"odinger operators
have absolutely continuous component in their spectrum. The purpose of the
paper is to ...