Minkowski sums of simplices in Rn form an interesting class of polytopes that seem to emerge in various situations. In this paper we discuss the Minkowski sum of the simplices ∆k−1 in Rn where k and n are fixed, their flags and some of their face lattice structure. In particular, we derive a closed formula for their exponential generating flag function. These polytopes are simple, include both ...

Chewable ferrous fumarate tablet is the best iron dosage form for children due to better compliance and lower teeth staining compared to the oral drop. Because of the different desirable properties of chewable tablets and the opposing effects of fillers on them, the mathematical experimental design was used as the formulation approach. Different series of formulations based on single filler (La...

background: human pathogens that can cause infertility may also affect sperm count and quality. viral infections can be considered as direct and/or indirect cause of male factor infertility. objective: our goal was to investigate the prevalence of herpes simplex virus in the semen of infertile men attending the avicenna infertility clinic, and to compare it with the herpes virus serology result...

A diffusion-taking value in probability-measures on a graph with vertex set V, ∑i∈Vxiδi is studied. The masses each satisfy the stochastic differential equation of form dxi=∑j∈N(i)xixjdBij simplex, where {Bij} are independent standard Brownian motions skew symmetry, and N(i) neighbour i. dual Markov chain integer partitions to semigroup associated diffusion used show that support an extremal st...

in this paper, our purpose is twofold. firstly, the tensor andresiduum operations on $l-$nested systems are introduced under thecondition of complete residuated lattice. then we show that$l-$nested systems form a complete residuated lattice, which isprecisely the classical isomorphic object of complete residuatedpower set lattice. thus the new representation theorem of$l-$subsets on complete re...

A Kac-Moody algebra is called hyperbolic if it corresponds to a generalized Cartan matrix of hyperbolic type. We study root subsystems of root systems of hyperbolic algebras. In this paper, we classify maximal rank regular hyperbolic subalgebras of hyperbolic Kac-Moody algebras. Introduction A generalized Cartan matrix A is called a matrix of hyperbolic type if it is indecomposable symmetrizabl...

The Minimum Cost Flow (MCF) problem is a well-known problem in the area of network optimisation. To tackle this problem, Network Simplex Algorithm (NSA) is the fastest solution method. NSA has three extensions, namely Network Simplex plus Algorithm (NSA+), Dynamic Network Simplex Algorithm (DNSA) and Dynamic Network Simplex plus Algorithm (DNSA+). The objectives of the research reported in this...

This article outlines our investigation into the methane production of wastewater sludge (WWS) from a treatment plant (WWTP) and mixture WWS with food waste (FW) green cutting (GC). To determine optimal mixture, two potential experiments were performed using Automatic Methane Potential Test System (AMPTS II). In first experiment, FW used. The highest was measured in FW, lowest WWS. combination ...