We examine the internal geometry of a Kleinian surface group and its relations to the asymptotic geometry of its ends, using the combinatorial structure of the complex of curves on the surface. Our main results give necessary conditions for the Kleinian group to have ‘bounded geometry’ (lower bounds on injectivity radius) in terms of a sequence of coefficients (subsurface projections) computed ...

We describe a method for discretizing C continuous surface(s) in R immersed in a non-conforming tetrahedralization. The method consists of constructing a homeomorphic mapping from the tetrahedrons in a background mesh to ones conforming to the immersed geometry. Such a map relies on the way we parametrize the surface(s) of the immersed geometry over a collection of a nearby triangular faces wit...

If the vertices of a triangle are projected onto a given line, the perpendiculars from the projections to the corresponding sidelines of the triangle intersect at one point, the orthopole of the line with respect to the triangle. We prove several theorems on orthopoles using the Pappus theorem, a fundamental result of projective geometry.

We prove that spectral projections of Laplace-Beltrami operator on the m-complex unit sphere E∆ S2m−1 ([0, R)) are uniformly bounded as an operator from H(S) to L(S) for all p ∈ (1,∞). We also show that the Bochner-Riesz conjecture is true when restricted to cylindrically symmetric functions on R × R. Suppose that L is a positive definite, self-adjoint operator acting on L(X,μ), where X is a me...

Chhattisgarh state ranks 16 position in terms of population in India but it ranks 27 in terms of literacy rate. This backwardness is due to more tribal areas in this state. Since literacy is the basis for human development which in turn affects country’s economic growth, it becomes important to improve the proportion of literates. Forecasting of literacy rate will help government & policy maker...

Money demand equation continues to attract attention of econometricians with a new wrinkle provided by cointegration. We use projection pursuit (PP) regressions pioneered by Friedman and Stuetzle (1981) to suggest new estimates of partials of conditional expectations of the regressands with respect to the regressors and prove their consistency. Since the usual cointegration methodology involves...

one of the best strategies to control bacterial wilt caused by ralstonia solanacearum (smith) is generally based on breeding resistant cultivars. the information obtained from the expression of plant defense genes will provide new insight for improving plant resistance against pathogens. this study was to identify inducible genes under defense no death (dnd) reaction of tobacco (nicotiana tabac...

Background: Researches on attachment theory shows that attachment styles influence marital adjustment. However, some psychological factors moderate this correlation. The present study was aimed to examine the moderating role of defense mechanisms in the association between attachment styles and levels of marital adjustment. Methods: This descriptive-correlational study collected data from a co...

A position and orientation measurement method is investigated by adopting a camera calibrated by the projection geometry of the skew-symmetric Plücker matrices of 3D lines. The relationship between the Plücker matrices of the dual 3D lines and the 2D projective lines is provided in two vertical world coordinate planes. The transform matrix is generated from the projections of the 3D lines. The ...