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Flare Ribbon Expansion and Energy Release
Sun activity—Sun flares chromosphere corona X-rays gamma rays
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2010/9/16
We report a detailed examination about the relationship between the evolution of the Hα flare ribbons and the released magnetic energy during the April 10 2001 flare. In the Hα images, several bright ...
Topological expansion of beta-ensemble model and quantum algebraic geometry in the sectorwise approach
Topological expansion of beta-ensemble model quantum algebraic geometry sectorwise approach
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2010/12/14
We solve the loop equations of the β-ensemble model analogously to the solution found for the Hermitian matrices β = 1. For β = 1, the solution was expressed using the algebraic spectral curve of equa...
Hilbert Expansion from the Boltzmann equation to relativistic Fluids
Hilbert Expansion Boltzmann equation relativistic Fluids
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2010/12/13
We study the local-in-time hydrodynamic limit of the relativistic Boltzmann equation using a Hilbert expansion. More specically, we prove the existence of local solutions to the relativistic Boltzman...
Expansion and one-range addition theorems for complete orthonormal sets of spinor wave functions and Slater spinor orbitals of arbitrary half-integral spin in position, momentum and four-dimensional spaces
Exponential type spinor orbitals Slater type spinor orbitals Addition theorems
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2010/12/9
The analytical relations in position, momentum and four-dimensional spaces are established
for the expansion and one-range addition theorems of relativistic complete orthonormal sets
of exponential ...
A conjugation-free geometric presentation of fundamental groups of arrangements II: Expansion and some properties
conjugation-free geometric presentation of fundamental groups some properties
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2010/12/1
A conjugation-free geometric presentation of a funda-mental group is a presentation with the natural topological gener-ators x1, . . . , xn and the cyclic relations.
Demonstration of local expansion toward large-scale entangled webs
Demonstration local expansion large-scale entangled webs
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2010/10/20
We demonstrate an optical gate that increases the size of polarization-based W states by accessing only one of the qubits. Using this gate, we have generated three-photon and four-photon W states with...
On the continued fraction expansion of the unique root in F(p) of the equation x^4+x^2-Tx-1:12=0 and other related hyperquadratic expansions
Continued fractions Fields of power series Finite fields
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2010/12/15
.In 1985, Robbins observed by computer the continued frac-tion expansion of certain algebraic power series over a finite field. Inciden-tally he came across a particular equation of degree four in cha...
Basket Options Valuation for a Local Volatility Jump-Diffusion Model with the Asymptotic Expansion Method
Basket options pricing local volatility jump-diffusionmodel forward PIDE asymp-totic expansion
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2010/4/27
In this paper we discuss the basket options valuation for a jump-diffusion model. The underlying asset prices follow some correlated local volatility diffusion processes with systematic jumps. We deri...
On refined volatility smile expansion in the Heston model
smile expansion Heston model
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2010/4/27
It is known that Heston's stochastic volatility model exhibits moment explosion, and that the critical moment $s^{*}$ can be obtained by solving (numerically) a simple equation. This yields a leading ...
Spinning binary waveforms via PN expansion: Equal-mass case
binary waveforms post-Newtonian Equal-mass case
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2010/3/18
Complete expressions of time-domain gravitational waveforms for spinning binary inspirals via the post-Newtonian (PN) approximation would require determination of the phase, amplitude, inclination ang...
de Sitter expansion with anisotropic fluid in Bianchi type-I space-time
Bianchi type-I de Sitter expansion cosmological constant anisotropic fluid
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2010/3/17
Some features of the Bianchi type-I universes in the presence of a fluid that wields an anisotropic equation of state (EoS) parameter are discussed in the context of general relativity. The models tha...
A generalisation of an expansion for the Riemann zeta function involving incomplete gamma functions
Zeta function Incomplete gamma functions
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2010/9/17
We derive an expansion for the Riemann zeta function ζ(s) involving incomplete gamma functions with their second argument proportional to n2p, where n is the summation index and p is a positive intege...
hbar-expansion of KP hierarchy: Recursive construction of solutions
hbar-expansion KP hierarchy Planck constant
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2010/4/7
The \hbar-dependent KP hierarchy is a formulation of the KP hierarchy that depends on the Planck constant \hbar and reduces to the dispersionless KP hierarchy as \hbar -> 0. A recursive construction o...
Uniformity Despite Diversity:PN Expansion Velocities in the Local Group
PN Expansion Velocities Local Group
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2009/7/1
Uniformity Despite Diversity:PN Expansion Velocities in the Local Group。
Expansion Parallax for the Compact Planetary Nebula M2-43
Parallax Compact Planetary Nebula M2-43
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2009/6/30
Expansion Parallax for the Compact Planetary Nebula M2-43。