We consider maps defined on an open set of Rnþm having a fixed point whose linear part is the identity. We provide sufficient conditions for the existence of a stable manifold in terms of the nonlinear part of the map. These maps arise naturally in some problems of Celestial Mechanics. We apply the results to prove the existence of parabolic orbits of the spatial elliptic three-body problem. r ...

In this article we address the problem of computing the dimension of the space of plane curves of degree d with n general points of multiplicity m. A conjecture of Harbourne and Hirschowitz implies that when d ≥ 3m, the dimension is equal to the expected dimension given by the Riemann-Roch Theorem. Also, systems for which the dimension is larger than expected should have a fixed part containing...

This Essay (in Sections I and II) briefly traces the evolution of modem equal protection doctrine in order to point (in Section III) to a disparate but substantial group of equal protection decisions that do not fit, and that the Court did not pretend to fit, into one of the officially identified three tiers of Equal Protection Clause analysis. The Essay (in Section IV) defends the viewpoints, ...

objective: one of the principle purposes of root canal obturation is to obtain hermetic sealing of the root canal system. according to the development of technology, many materials are now used in root canal filling. an in vitro dye leakage study was performed to evaluate the apical sealability of white-colored mineral trioxide aggregate (wmta) and gray-colored portland cement (gpc) when used a...

We investigate a modification of the 2+1 dimensional abelian Chern-Simons theory, obtained by adding a Proca mass term to the gauge field. We are particularly interested in the infrared limit, which can be described by two a priori different ”topological” quantum mechanical models. We apply methods of equivariant cohomology and the ensuing supersymmetry to analyze the partition functions of the...

a robust and reliable quantitative structure-property relationship (qspr) study was established to forecast the melting points (mps)  of a diverse and long set including 250 drug-like compounds. based on the calculated descriptors by dragon software package, to detect homogeneities and to split the whole dataset into training and test sets, a principal component analysis (pca) approach was used...

As it is not always true that the distance between points in fuzzy rectangular metric spaces one, so we introduce notions of and b-rectangular metric-like set theory generalize many existing results, which can be regarded as main advantage this paper. In these spaces, symmetry property preserved, but self may equal to one. We discuss topological properties demonstrate neither Hausdorff. Using α...