The orthoscheme complex of a graded poset is metrization its order such that the simplex each maximal chain isometric to Euclidean vertices $$0, e_1,e_1+e_2,\ldots , e_1+e_2+ \cdots + e_n$$ . This notion was introduced by Brady and McCammond in geometric group theory, has applications discrete optimization submodularity theory. We address question which can yield with CAT(0) property. modular ...

A simplex-lattice mixture design with response surface methodology was used to evaluate in vitro synergistic antioxidant activity of red, green, and brown Brazilian propolis extract blends. The capacity blends measured using the fluorine method oxygen radical absorption assay (ORAC assay). interaction identified between green extracts, predictive model accused a binary composed 59% 41% extracts...

The coefficients of the chain polynomial a finite poset enumerate chains in by their number elements. polynomials partition lattices and standard type \(B\) analogues are shown to have only real roots. real-rootedness is conjectured for all geometric be preserved pyramid prism operations on Cohen-Macaulay posets. As result, new families convex polytopes whose barycentric subdivisions real-roote...

In this short note we give a construction of an infinite series of Delone simplices whose relative volume grows super-exponentially with their dimension. This dramatically improves the previous best lower bound, which was linear. BACKGROUND Consider the Euclidean space Rd with norm ‖ · ‖ and a discrete subset Λ ⊂ Rd. A d-dimensional polytope L = conv{v0, . . . ,vn} with v0, . . . ,vn ∈ Λ is cal...

• A new trigger is developed to control when the weight should be updated. adaptive weighting method proposed. decomposition algorithm with weights updated adaptively The proposed applied solve various multiobjective optimization problems . Recently, decomposition-based evolutionary algorithms (DMEAs) have become more prevalent than other patterns (e.g., Pareto-based and indicator-based algorit...

This is a pedagogical review of the subject of linear polymers on deterministic finitely ramified fractals. For these, one can determine the critical properties exactly by real-space renormalization group technique. We show how this is used to determine the critical exponents of self-avoiding walks on different fractals. The behavior of critical exponents for the n-simplex lattice in the limit ...

Gummy candy parasetamol adalah permen kenyal yang tersusun atas campuran pemanis dan komponen hidrokoloid mengandung didesain untuk hancur lumer di lidah. Penelitian ini bertujuan melihat pengaruh variasi konsentrasi gelatin gliserin terhadap kualitas fisik sediaan gummy candy, serta mengetahui terbaik mendapatkan dengan sifat fisi k optimum.Pembuatan menggunakan metode cetak tuang 8 rancangan ...