let $mathfrak{f}$ be a formation and $g$ a finite group. a subgroup $h$ of $g$ is said to be weakly $mathfrak{f}_{s}$-quasinormal in $g$ if $g$ has an $s$-quasinormal subgroup $t$ such that $ht$ is $s$-quasinormal in $g$ and $(hcap t)h_{g}/h_{g}leq z_{mathfrak{f}}(g/h_{g})$, where $z_{mathfrak{f}}(g/h_{g})$ denotes the $mathfrak{f}$-hypercenter of $g/h_{g}$. in this paper, we study the structur...

Symmetrical gangrene is a condition in which gangrene occurs in all four limbs, the nose and ears at the same time. This is a rare condition and only very few cases have been recorded. A number of conditions can cause symmetrical gangrene. These areas, i.e. the limbs, the ears and the nose, represent the outposts of the cardiovascular system. When the body needs to conserve, it conserves at the...

Ethnomathematics studies the relationship between mathematics and culture. Indonesia has many traditional cultures. One of them is cloth. The cloth from East Nusa Tenggara (NTT) province called tenun ikat. Since motif ikat consists symmetrical repeated patterns, it can be generated using Frieze groups. groups are plane symmetry patterns whose subgroups translations isomorphic to Z. There seven ...

In this paper x, r are real numbers. Let A be a set. We say that A is symmetrical if and only if: (Def. 1) For every complex number x such that x ∈ A holds −x ∈ A. Let us note that there exists a subset of C which is symmetrical. Let us observe that there exists a subset of R which is symmetrical. In the sequel A denotes a symmetrical subset of C. Let R be a binary relation. We say that R has s...

Symmetrical and non-symmetrical diimines derived from dimedone were synthesized by the reaction of their corresponding enaminothiones with primary amines. The synthesized compounds were characterized using micro analytical data and NMR spectroscopy. Theoretical calculations by B3LYP/6-31G(d,p) level of theory show that the enolic form is the most stable within the possible tautomeric forms of t...