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Lengths of Subsets in Coxeter Groups。
On q-Euclidean L-Fuzzy Ideals of Rings
Ideal Fuzzy ideal Level subset q -Euclidean level ideal q -Euclidean L-fuzzy ideal
2010/2/26
In this paper we define a q-Euclidean level subset and a q-Euclidean level ideal. We also give some properties of a q-Euclidean level subset.
Transformations of ordinary differential equations via Darboux transformation technique
ordinary differential equations Darboux transformation technique
2010/11/1
A new approach for obtaining the transformations of solutions of nonlinear ordinary differential equations representable as the compatibility condition of the overdetermined linear systems is propose...
On the structure of systematic perturbation theory with unstable fields
perturbation theory unstable fields
2010/11/2
Discussed is the structure of non-trivial counterterms that occur in the systematic gauge-invariant perturbation theory with unstable fields introduced in [hep-ph/9802307].
Pade Interpolation: Methodology and Application to Quarkonium
Pade Interpolation Methodology Quarkonium
2010/11/2
A novel application of the Pade approximation is proposed in which the Pade approximant is used as an interpolation for the small and large coupling behaviors of a physical system, resulting in a pred...
A Riemann-Roch Theorem For One-Dimensional Complex Groupoids
Riemann-Roch Theorem One-Dimensional Complex Groupoids
2010/11/2
We consider a smooth groupoid of the form \Sigma\rtimes\Gamma where \Sigma is a Riemann surface and \Gamma a discrete pseudogroup acting on \Sigma by local conformal diffeomorphisms. After defining a ...
We prove a perturbative inversion theorem for the map between the interacting and the noninteracting Fermi surface for a class of many fermion systems with strictly convex Fermi surfaces and short-ran...
On 3 Dimensional Isotropic Submaniolds of a Space from
dimensional isotropic submanifolds low-dimensional normal space
2010/3/4
We study 3-dimensional isotropic submanifolds of a space form with low-dimensional first normal space.
A Stone's Representation Theorem and Some Applications
Boolean ring Boolean space Stone space Stone representation bounded finitely additive set function countably additive set function convergence of sequences of measures weak topology
2010/3/3
In this paper, we prove the following form of Stone's representation theorem: Let \sum be a s-algebra of subsets of a set X. Then there exists a totally disconnected compact Hausdorff space {\cal K} f...
LINEAR TOPOLOGIC INVARIANTS AND THEIR APPLICATIONS TO ISOMORPHIC CLASSIFICATION OF GENERALIZED POWER SPACES
LINEAR TOPOLOGIC INVARIANTS ISOMORPHIC CLASSIFICATION GENERALIZED POWER SPACES
2010/3/17
In the present survey generalized linear topological invariants are considered as a development of classical invariants of Kolmogorov and Pelczynski (approximative and diametral dimensions). It is rea...