in this paper a first step in classifying the fuzzy normalsubgroups of a finite group is made. explicit formulas for thenumber of distinct fuzzy normal subgroups are obtained in theparticular cases of symmetric groups and dihedral groups.

The impregnation method was used to synthesize Pt and Pt3Co supported on MWCNTs applying NaBH4 as the reducing agent. The structure, morphology, and chemical composition of the electrocatalysts were characterized through SEM, XRD, and EDX. X-ray diffraction showed a good crystallinity of the supported Pt nanoparticles on the composites and showed the formation of Pt3<...

The binding energy and Thermodynamic Parameters of cis- Platinum Di Ammino Chlorine (cis-[Pt(NH3)2Cl]+) and trans- Platinum Di Ammino Chlorine (trans- [Pt(NH3)2Cl]+) complexes withGuanine has been studied by density functional theory (DFT) calculations in water. The bindingenergies (Ebin) of cis- and trans-[Pt(NH3)2ClG]+ are calculated to be 79.38 kcal/mol and 74.98kcal/mol, respectively. The b...

In this paper we define S algebras and show that every finite group can be found in some S algebra.  We define and study the S degree of a finite group and determine the S degree of several classes of finite groups such as cyclic groups, elementary abelian $p$-groups, and dihedral groups $D_p$.

1.1. The steps. The Kepler conjecture asserts that no packing of spheres in three dimensions has density greater than π/ √ 18 ≈ 0.74048. This paper is one of a series of papers devoted to the Kepler conjecture. This series began with [I], which proposed a line of research to prove the conjecture, and broke the conjecture into smaller conjectural steps which imply the Kepler conjecture. The step...

1.1. The steps. The Kepler conjecture asserts that no packing of spheres in three dimensions has density greater than π/ √ 18 ≈ 0.74078. This paper is one of a series of papers devoted to the Kepler conjecture. This series began with [I], which proposed a line of research to prove the conjecture, and broke the conjecture into smaller conjectural steps which imply the Kepler conjecture. The step...