Integral polytopes (see [Z ]for the basic definitions) are of interest in combinatorics, linear programming, algebraic geometry-toric varieties [D,O], number theory [K-L.]. We study here lattice-free simplices, that is simplices intersecting the lattice only at their vertices. A natural question is to measure the " flatness " of these polytopes, with respect to integral dual vectors. This (arit...

Statistical techniques used to analyze data from Mixture Experiments involve fitting Multiple Regression models with the intercept set to zero, Canonical Analysis to determine the shape of the fitted response, and the Response Surface System. One can use Mixture Design Macros (e.g., ADXMIX File) in SAS or the point-and-click ADX Interface of SAS to analyze data and obtain graphs. Contour plot, ...

In this paper, we consider integral maximal lattice-free simplices. Such simplices have integer vertices and contain integer points in the relative interior of each of their facets, but no integer point is allowed in the full interior. In dimension three, we show that any integral maximal latticefree simplex is equivalent to one of seven simplices up to unimodular transformation. For higher dim...

In this paper, we present a new framework for improving soil strength using an advanced method of engineering statistics. The materials included clay till collected in Yttre Ringvägen, southern Sweden. Binders quicklime, slag and ordinary Portland cement used as pure binders blended mixtures. We first applied the Response Surface Methodology techniques aimed at binder blend optimisation: 1) Cen...

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 ...

The purpose of this research was to prepare a floating matrix tablet containing domperidone as a model drug. Polyethylene oxide (PEO) and hydroxypropyl methylcellulose (HPMC) were evaluated for matrix-forming properties. A simplex lattice design was applied to systemically optimize the drug release profile. The amounts of PEO WSR 303, HPMC K15M and sodium bicarbonate were selected as independen...

Non-ideal behaviour of mixed ions is disclosed in skin absorption experiments halide anions excised pig skin. Comparison pure and shows enhanced penetration chaotropic from solutions. An experimental design statistical analysis using a Scheffé {3,2} simplex-lattice allows investigating the full ternary diagram anion mixtures fluoride, bromide iodide. Synergism observed for iodide anions. A refi...

Abstract Edible film is an alternative packaging material to replace plastic. Protecting the product from oxidation processes and microbiological activities one of its functions. One biopolymers used for base edible fish gelatine Pangasius sp. skin. Silver nanoparticles Rhizophora mucronata were added increase film’s antioxidant antibacterial ability. This study aims determine effect silver on ...