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...

We overview results from our experiment of merging two seemingly unrelated disciplines – higher algebraic K-theory of rings and the theory of lattice polytopes. The usual K-theory is the “theory of a unit simplex”. The text is based on the works [BrG1, BrG5, BrG6]. Further related results are found in [BrG2, BrG3, BrG4]. At the end of the paper we propose a general conjecture on the structure o...

The defining problem in frustrated quantum magnetism, the ground state of the nearest-neighbor S=1/2 antiferromagnetic Heisenberg model on the kagome lattice, has defied all theoretical and numerical methods employed to date. We apply the formalism of tensor-network states, specifically the method of projected entangled simplex states, which combines infinite system size with a correct accounti...

We have proposed an efficient algorithm to calculate physical quantities in the translational invariant three-dimensional tensor networks, which is particularly relevant study of classical statistical models and (2+1)-dimensional quantum lattice models. In context a model, we determine partition function by solving dominant eigenvalue problem transfer matrix, whose left right eigenvectors are r...

We reformulate the Ponzano-Regge quantum gravity model in terms of surfaces on a 3-dimensional simplex lattice. This formulation (1) has a clear relation to the loop representation of the canonical quantum general relativity in 3-dimensions, (2) may have a 4-dimensional analogue, in contrast to the 6-j symbolic formalism of the PonzanoRegge model, and (3) is purely a theory of surfaces, in the ...

In [1] we studied a mixed-integer set arising from two rows of a simplex tableau. We showed that facets of such a set can be obtained from lattice point free triangles and quadrilaterals associated with either three or four variables. In this paper we generalize our findings and show that, when upper bounds on the non-basic variables are also considered, further classes of facets arise that can...

We present a polynomial time algorithm to compute any fixed number of the highest coefficients of the Ehrhart quasi-polynomial of a rational simplex. Previously such algorithms were known for integer simplices and for rational polytopes of a fixed dimension. The algorithm is based on the formula relating the kth coefficient of the Ehrhart quasi-polynomial of a rational polytope to volumes of se...

Table 1-Composition of extended chicken nugget formulations in a threecomponent constrained simplex lattice mixture design evaluated for acA mixture design was used to optimize the sensory acceptability (appearance, color, flavor, texture, and overall liking) of chicken nuggets containing flours processed from fermented cowpeas (FCF) and fermented partially defatted peanuts (FPDPF). Flavor and ...