搜索结果: 151-165 共查到“数学 geometry”相关记录230条 . 查询时间(0.117 秒)
Approximations and Lipschitz continuity in p-adic semi-algebraic and subanalytic geometry
Approximations Lipschitz continuity p-adic semi-algebraic subanalytic geometry
2010/12/8
It was already known that a p-adic, locally Lipschitz continuous semialgebraic function is piecewise Lipschitz continuous, where the pieces can be taken semi-algebraic.
Thermodynamic Geometry and Hawking Radiation
Quantum Gravity Hawking Radiation Horizon Perturbations Vaidya Geometry
2010/12/15
This work explores the role of thermodynamic fluctuations in the two parameter Hawking adiating
black hole configurations. The system is characterized by an ensemble of arbitrary mass and radiation f...
On triangles determined by subsets of the Euclidean plane, the associated bilinear operators and applications to discrete geometry
triangles determined Euclidean plane associated bilinear operators discrete geometry
2010/12/6
We prove that if the Hausdorff dimension of the set E R2 is greater than 74 , then the three-dimensional Lebesgue measure of the set of triangles determined by E is positive. We
establish this fact...
Two-component {CH} system: Inverse Scattering, Peakons and Geometry
Two-component {CH} system Inverse Scattering Peakons and Geometry
2010/12/16
An inverse scattering transform method corresponding to a Riemann-Hilbert problem is formulated for CH2, the two-component generalization of the Camassa-Holm (CH) equa-tion. As an illustration of the ...
Amusing properties of Klein-Gordon solutions on manifolds with variable geometry
properties Klein-Gordon solutions on manifolds variable geometry
2010/12/16
This work develops the recent proposition to use dimensional reduction from the four-imensional space-time to the one with a smaller number of dimensions (1 + d); d < 3 at high enough energy.To this g...
Edinburgh Lectures on Geometry, Analysis and Physics
Edinburgh Lectures on Geometry Analysis Physics
2010/12/13
These lecture notes are based on a set of six lectures that I gave in Edinburgh in 2008/2009 and they cover some topics in the interface between Geometry and Physics. They involve some unsolved proble...
Cyclic polygons in classical geometry
cyclic polygon Euclidean geometry hyperbolic geometry spherical geometry
2010/12/7
Formulas about the side lengths, diagonal lengths or radius of the circumcircle of a cyclic polygon in Euclidean geometry, hyperbolic geometry or spherical geometry can be unified.
In this paper, we develop the theory of flashes of an algebraic curve. We show that the theory is birationally invariant in a sense which we will make more precise below. We also show how the theory p...
Interaction between nonlinear diffusion and geometry of domain
nonlinear diffusion geometry of domain initial-boundary value problem
2010/12/15
Let be a domain in RN, where N ≥ 2 and @ is not necessarily bounded. We consider nonlinear diffusion equations of the form @tu = (u). Let u = u(x, t) be the solution of either the initial-boundary ...
Multi linear formulation of differential geometry and matrix regularizations
Multi linear formulation differential geometry matrix regularizations
2010/12/13
We prove that many aspects of the differential geometry of embed-ded Riemannian manifolds can be formulated in terms of multi linear algebraic structures on the space of smooth functions. In particula...
Braided Symmetric Algebras of Simple $U_q(sl_2)$-Modules and Their Geometry
Braided Symmetric Algebras Simple $U_q(sl_2)$-Modules Their Geometry
2010/12/7
In the present paper we prove decomposition formulae for the braided symmetric powers of simple U q(sl2)-modules, natural quantum analogues of the classical symmetric powers of a module over a complex...
Rank Bounds for Design Matrices with Applications to Combinatorial Geometry and Locally Correctable Codes
Design Matrices Applications Combinatorial Geometry Locally Correctable Codes
2010/12/10
A (q, k, t)-design matrix is an m×n matrix whose pattern of zeros/non-zeros satisfies the
following design-like condition: each row has at most q non-zeros, each column has at least
k non-zeros and ...
A result of [2] extends the Marsden-Ratiu reduction theorem [4] in Poisson geometry, and is proven by means of graded geometry. In this note we provide the background material about graded geometry ne...
Local Estimates for Some Elliptic Equations Arising from Conformal Geometry
Local Estimates Elliptic Equations Arising Conformal Geometry
2018/4/19
We present some local gradient and Hessian estimates from C0 estimates for some elliptic equations arising from conformal deformations on the manifolds with totally geodesic boundary, which generalize...
Topological quantum field theory and hyperkähler geometry
Topological quantum field hyperkä hler geometry
2010/3/1
Rozansky and Witten proposed a 3-dimensional sigma-model whose target space is a hyperkähler manifold. They conjectured that this theory has an associated TQFT, with vector spaces given by certai...