Hadwiger showed by computing the intrinsic volumes of a regular simplex that a rectangular simplex is a counterexample to Wills’s conjecture for the relation between the lattice point enumerator and the intrinsic volumes in dimensions not less than 441. Here we give formulae for the volumes of spherical polytopes related to the intrinsic volumes of the regular crosspolytope and of the rectangul...

We study the asymptotic behaviour of resistance scaling and fluctuation of resistance that give rise to flicker noise in an n-simplex lattice. We propose a simple method to calculate the resistance scaling and give a closed-form formula to calculate the exponent, βL, associated with resistance scaling, for any n. Using current cumulant method we calculate the exact noise exponent for n-simplex ...

Corresponding Author: Asha Patel, Anand Pharmacy College, Anand, 388001, Gujarat, India Email: [email protected] Abstract: In current study, a nanoemulsion as drug delivery system (NE) of spray dried Boswellia Serrata Extract (BSE) was developed and characterized to compare it in vitro/Ex vivo diffusion with reference formulation. Pseudo-ternary phase diagrams were constructed by phase di...

Ah&act-If a point is picked at random inside a regular simplex, octahedron, 600-cell, or other polytope, what is its average squared distance from the centroid? In n-dimensional space, what is the average squared distance of a random point from the closest point of the lattice A, (or D,, , En, A: or D,*)? The answers are given here, together with a description of the Voronoi (or nearest neighbo...

The development of banana-based snack bars that fulfill the nutritional requirement for toddlers is required. In this study, we analyzed effects different concentrations banana puree, flour and potato starch on characteristics inulin, dietary fiber, protein, potassium as well hardness using response surface methodology. total, 14 experimental models were generated a simplex lattice design. Resu...

We propose the lattice version of BF gravity action whose partition function leads to the product of a particular form of 15-j symbol which corresponds to a 4-simplex. The action is explicitly constructed by lattice B field defined on triangles and link variables defined on dual links and is shown to be invariant under lattice local Lorentz transformation and Kalb-Ramond gauge transformation. W...

starch could used as ingredient fillers, binders and crushers in tablet manufacture. Amylum is also defined carbohydrates from plant, results photosynthesis, which stored part certain plant backup food mixture two type structure different polysaccharides that contains (17-20) % amylose (80-83) amylopectin. Destination study this for know the formulation of mucoadhesive tablets with fully gelati...

We develop an interesting relationship between /nite sets in a lattice and the minimal density of simplex coverings of n-space. c © 2002 Elsevier Science B.V. All rights reserved.