We define a cohomology theory for topological semigroups, with seminormed cohomology groups. Our theory can be considered as a topological version of bounded cohomology of discrete semigroups. 1. Definition of the cohomology Bounded cohomology was first defined for discrete groups by F. Trauber and then for topological spaces by M. Gromov [6]. In this paper we establish a topological bounded co...

1 C o r r e c t a n s w e r : b . T h e r i s k c a n n o t b e a b o l i s h e d b y a h e a l t h y l i f e s t y l e , b u t i t c a n b e g r e a t l y r e d u c e d . D i a b e t e s k i l l s m o r e p e o p l e t h a n T B , m a l a r i a , a n d H I V p u t t o g e t h e r . I f d i a b e t i c r e t i n o p a t h y i s d i a g n o s e d a n d t r e a...

We consider the Pythagoras equation X2 +Y2 = Z2, and for any solution of type (a,b 2sb1 ≠0,c) ∈ N*3, s ≥ 2, b1odd, (a,b,c) ≡ (±1,0,1)(mod 4), c > a , b, gcd(a,b,c) 1, we then prove Pythagorician divisors Theorem, which results in following: where (d,d′′) (resp. (e,en)) are unique particular such that dd′′ b ee′′ ), these called: from a, b). Let’s put λ ∈{0,1}, defined by: S -λ (s -1). Then . Mo...

a case o f intrahepatic stone and its t r eat ment i s present e d . the t ype s o f i ntrahepatic s tones , t h e etiological f act o r , t he ways of di agno s is and t reatment a re b eing discussed. the disease is common in far eastern c ountri es a nd asian are a, with c lonorchi s s i nens is inf estation, but s peci ally in iran when the s tones i s a lone in intrahepatic ducts without e...

1 C o r r e c t a n s w e r : b . T h e r i s k c a n n o t b e a b o l i s h e d b y a h e a l t h y l i f e s t y l e , b u t i t c a n b e g r e a t l y r e d u c e d . D i a b e t e s k i l l s m o r e p e o p l e t h a n T B , m a l a r i a , a n d H I V p u t t o g e t h e r . I f d i a b e t i c r e t i n o p a t h y i s d i a g n o s e d a n d t r e a...

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We investigate a new algebraic structure which always gives rise to set-theoretic solution of the Yang-Baxter equation. Specifically, weak (left) brace is non-empty set $S$ endowed with two binary operations $+$ and $\circ$ such that both $(S,+)$ $(S, \circ)$ are inverse semigroups they hold \begin{align*} \circ \left(b+c\right) = a\circ b - +a\circ c \qquad \text{and} a^- + a, \end{align*} for...

introduction: staphylococcus aureus (s. aureus) is a bacterium found on the skin and hair of people and animals. s. aureus could product some extracellular protein. materials and methods: one hundred and fifty s. aureus isolates that were collected from different resources were screened for the meca, tst-1, eta and etb genes by pcr. 50 isolates were selected from human staphylococcal isolates a...

Background and Aims: Shigellosis is an acute gastroenteritis and Invasion plasmid antigen C (IpaC) is the first effector protein for Shigella invasion of intestinal cells. Among lactic acid bacteria, Bifidobacterium lactis (B. lactis) has received increasing attention for protection of a potential host against gastrointestinal infections. The aim of this study was to investigate the inhibitory ...

purpose– analysis of non-prismatic beams has been focused of attention due to wide use in complex structures such as aircraft, turbine blades and space vehicles. apart from aesthetic aspect, optimization of strength and weight is achieved in use of this type of structures. the purpose of this paper is to present new shape functions, namely 3-node basic displacement functions (bdfs) for derivati...