We consider smeared zeta functions and heat-kernel coefficients on the bounded, generalized cone in arbitrary dimensions. The specific case of a ball is analysed in detail and used to restrict the form of the heat-kernel coefficients A n on smooth manifolds with boundary. Supplemented by conformal transformation techniques, it is used to provide an effective scheme for the calculation of the A ...

A matroid has the weak half-plane property (WHPP) if there exists a stable polynomial with support equal to the set of bases of the matroid. If the polynomial can be chosen with all nonzero coefficients equal to one then the matroid has the half-plane property (HPP). We describe a systematic method that allows us to reduce the WHPP to the HPP for large families of matroids. This method makes us...

Motivated by the inverse Littlewood-Offord problem for linear forms, we study the concentration of quadratic forms. We show that if this form concentrates on a small ball with high probability, then the coefficients can be approximated by a sum of additive and algebraic structures.

Twenty five plus trees of dek were selected from agro-climatic regions Haryana, Punjab and Uttrakhand. The on the basis different characters economic importance viz. straightness, clear bole height, self-pruning ability, acute branch angle etc. Among all maximum tree height was observed in MC21 (17.9 m) whereas, minimum MC3 (6.5 m). girth at breast (gbh) varied 60.9 to 180.8 cm recorded highest...

The relationship between the metric and nonrelativistic matter distribution depends on the theory of gravity and additional fields, hence providing a possible way of distinguishing competing theories. With the assumption that the geometry and kinematics of the homogeneous universe have been measured, we present a procedure for understanding and testing the relationship between the cosmological ...

In this paper, we prove some pointwise comparison results between the solutions of some secondorder semilinear elliptic equations in a domain Ω of Rn and the solutions of some radially symmetric equations in the equimeasurable ball Ω∗. The coefficients of the symmetrized equations in Ω∗ satisfy similar constraints as the original ones in Ω. We consider both the case of equations with linear gro...

The Suomi NPP (S-NPP) Visible Infrared Imaging Radiometer Suite (VIIRS) performs the scheduled lunar roll maneuver on a monthly basis. The lunar calibration coefficients and lunar F-factor are calculated by taking the ratio of the lunar observed radiance to the simulated radiance from the Miller and Turner (MT) lunar model. The lunar F-factor is also validated against that derived from the VIIR...

Piṅgala is a mathematician (c. 300 BCE) who authored Chandah. śāstra (the science of Sanskrit metres). This is a brief note on a mathematical art project completed at the Chennai Mathematical Institute to honour Piṅgala who was responsible for the discovery of binary expansion of numbers in the context of enumeration of metres, and of the binomial coefficients which were later made explicit by ...