‎in this paper, a new class of fuzzy sets called fuzzy strongly ${{g}^{*}}$-closed sets is introduced and its properties are investigated. moreover, we study some more properties of this type of closed spaces.

We prove that for every Q-homological Finsler 3-sphere (M,F ) with a bumpy and irreversible metric F , either there exist two non-hyperbolic prime closed geodesics, or there exist at least three prime closed geodesics.

A modified approach, involving the addition of a low frequency boost voltage, is developed and adopted as an enhancement to the conventional closed loop f v speed control of a three-phase squirrel cage induction motor modeled in the stationary qd reference frame using six-step voltage source inverter waveform. The results obtained show a superior performance in the two basic mechanical characte...

We give canonical matrices of a pair (A,B) consisting of a nondegenerate form B and a linear operator A satisfying B(Ax,Ay) = B(x, y) on a vector space over F in the following cases: • F is an algebraically closed field of characteristic different from 2 or a real closed field, and B is symmetric or skew-symmetric; • F is an algebraically closed field of characteristic 0 or the skew field of qu...

1. If X is a real Banach space and X** the second conjugate space of X, then for each subset A of X** let KxiA) be the «¿"-sequential closure of A in X**; thus FEKxiA) if and only if there is a sequence { Fn} in A such that F(f) = limn F„(f) for all/EX*. If Jx is the canonical mapping from X into X**, then Kx(JxX) is closed in the norm topology of X** [l]. In the present paper it will be shown ...

One definition of a hyperelliptic curve is a curve C over an algebraically closed field k whose function field K is a degree 2 extension of a purely transcendental extension of k. 1. (a) Show that every hyperelliptic curve is birational to a curve of the form y 2 = f (x) where f ∈ k[x] is a monic squarefree polynomial. (b) Conversely, show that every squarefree f ∈ k[x] gives rise to a hyperell...

In this dissertation, we study the following two topics, i.e., the union closed set conjecture and the maximum edges cut in connected digraphs. The union-closed-set-conjecture-topic goes as follows. A finite family of finite sets is union closed if it contains the union of any two sets in it. Let XF = ∪F∈FF . A union closed family of sets is separating if for any two distinct elements in F , th...

‎let us consider the set of non-abelian finite simple groups which‎ ‎admit non-trivial irreducible projective representations of degree $le 7$ over‎ ‎an algebraically closed field $f$ of characteristic $pgeq 0$‎. ‎we survey some recent results which‎ ‎lead to the complete list of the groups in this set which are‎ ‎$(2‎, ‎3‎, ‎7)$-generated and of those which are $(2,3)$-generated‎.