We present our exact numerical perturbation technique for eliminating degeneracies occurring in geometric modeling processes. Consider a geometric modeler that performs a set of geometric operations (e.g. CSG-based Boolean operations). We would like to make the geometric modeler “robust” with respect to degeneracies, meaning that it will not crash. Our approach achieves many of the same results...

Phenol formaldehyde (phenolic resin) has a wide range of moldings. However, it immense consumption in manufacturing electrical equipment due to its insulating property. Phenolic resin retains properties at the freezing point, and also age cannot be determined. Due insulator property, use equipment. In this article, degree-based topological indices phenol are determined with help M-polynomial. W...

Fullerene is a cage-like carbon allotrope admitting vast range of applications. Some the important fullerenes are C54,C58,C60,C70,C74,C76,C78,C80C82,C84,C86,C90. The physical properties can be exhibited using degree-based topological indices. sum based geometric arithmetic index significant in this manner. atomic bond connectivity, Randic, first and second Zagreb indices well known We have dete...

We introduce the volume function for C-hermitian invertible sheaves on an arithmetic variety as an analogue of the geometric volume function. The main result of this paper is the continuity of the arithmetic volume function. As a consequence, we have the arithmetic Hilbert-Samuel formula for a nef C-hermitian invertible sheaf. We also give another applications, for example, a generalized Hodge ...

In this note, we present sharp inequalities relating hypergeometric analogues of the arithmetic-geometric mean discussed in [5] and the power mean. The main result generalizes the corresponding sharp inequality for the arithmetic-geometric mean established in [10].

physical properties are often required for designing post harvest handling and processing equipment for agricultural products. persimmon (khormandy cultivar) is rich in vitamin a, calcium, potassium, tannic acid and antioxidant phenolic compounds. in this study changes in the physical properties of persimmon fruit during storage were studied. properties such as fruit dimensions, mass, geometric...