THE LOCAL DENSITY AND THE LOCAL WEAK DENSITY IN THE SPACE OF PERMUTATION DEGREE AND IN HATTORI SPACE

In this paper, the local density $(l d)$ and the local weak density $(l w d)$ in the space of permutation degree as well as the cardinal and topological properties of Hattori spaces are studied. In other words, we study the properties of the functor of permutation degree $S P^{n}$ and the subfunctor of permutation degree $S P_{G}^{n}$,  $P$ is the cardinal number of topological spaces. Let $X$ be an infinite $T_{1}$-space. We prove that the following propositions hold.(1) Let $Y^{n} \subset X^{n}$; (A) if $d\, \left(Y^{n} \right)=d\, \left(X^{n} \right)$, then $d\, \left(S P^{n} Y\right)=d\, \left(SP^{n} X\right)$; (B) if $l w d\, \left(Y^{n} \right)=l w d\, \left(X^{n} \right)$, then $l w d\, \left(S P^{n} Y\right)=l w d\, \left(S P^{n} X\right)$. (2) Let $Y\subset X$; (A) if $l d \,(Y)=l d \,(X)$, then $l d\, \left(S P^{n} Y\right)=l d\, \left(S P^{n} X\right)$; (B) if $w d \,(Y)=w d \,(X)$, then $w d\, \left(S P^{n} Y\right)=w d\, \left(S P^{n} X\right)$.(3) Let $n$ be a positive integer, and let $G$ be a subgroup of the permutation group $S_{n}$. If $X$ is a locally compact $T_{1}$-space, then $S P^{n} X, \, S P_{G}^{n} X$, and $\exp _{n} X$ are $k$-spaces.(4) Let $n$ be a positive integer, and let $G$ be a subgroup of the permutation group $S_{n}$. If $X$ is an infinite $T_{1}$-space, then $n \,\pi \,w \left(X\right)=n \, \pi \,w \left(S P^{n} X \right)=n \,\pi \,w \left(S P_{G}^{n} X \right)=n \,\pi \,w \left(\exp _{n} X \right)$.We also have studied that the functors $SP^{n},$ $SP_{G}^{n} ,$ and $\exp _{n}$ preserve any $k$-space. The functors $SP^{2}$ and $SP_{G}^{3}$ do not preserve Hattori spaces on the real line. Besides, it is proved that the density of an infinite $T_{1}$-space $X$ coincides with the densities of the spaces $X^{n}$, $\,S P^{n} X$, and $\exp _{n} X$. It is also shown that the weak density of an infinite $T_{1}$-space $X$ coincides with the weak densities of the spaces $X^{n}$, $\,S P^{n} X$, and $\exp _{n} X$

The Impoliteness Strategies In Press Conference Of Floyd Mayweather And Conor McGregor

This reseach investigated impoliteness strategies in press conference of Floyd Mayweather and Conor McGregor. The questions of this reseach are firstly what kinds of impoliteness strategies used by Floyd Mayweather in press conference? Secondly, what kinds of impoliteness strategies used by McGregor in press conference? Thirdly what impoliteness strategies mostly used by them to do face attack? This reseach used impoliteness strategies from Culpaper (1996). The method of this reseach is descriptive qualitative. The reseach findings are Conor McGregor did positive impoliteness and negative impoliteness. Positive impoliteness consists of taboo words 38 data, call the other names 2 data, exclude the other from an activity 1 data. Conor did 56 impoliteness attacks. In this press conference, Conor did not do bald on record, withhold impoliteness and sarcasm. Floyd Mayweather did positive impoliteness and negative impoliteness in this press conference. Positive impoliteness consists of use taboo words 17 data, exclude the other from an activity 2 data. Negative impoliteness consists of ridicule 5 data. Floyd did 24 impoliteness attacks. In this press conference, Floyd did not do bald on record, sarcasm and withhold impoliteness. The most frequently strategies used by Conor McGregor is positive impoliteness. Conor did use taboo words 38 data. The most frequently strategies used by Floyd Mayweather is positive impoliteness. Floyd did 17 data of use taboo words. In this press conference Floyd did not do sarcasm, bald on record and withhold impoliteness. In this press conference, there are 80 data of impoliteness. Conor did 56 impoliteness attacks and Floyd did 24 impoliteness attacks. Conor did more attack than Floyd. Key words: Impoliteness strategies; Press conference; Floyd Mayweather; Conor McGregor

Some topological and cardinal properties of the Nτφ-nucleus of a space X

In this paper, we study the behavior of some topological and cardinal properties of topological spaces under the influence of the Nτφ -kernel of a space X. It has been proved that the Nτφ-kernel of a space X preserves the density and the network π - weight of normal spaces. Besides, shown that the N-compact kernel of a space X preserves the Souslin properties, the weight, the density, and the π -network weight of normal spaces

To determine the role and importance of marketing research in the development of tourist routes

The article examines the role and importance of marketing research in the development of tourist routes in our country

The Local Density and the Local Weak Density in the Space of Permutation Degree and in Hattori Space

In this paper, the local density (ld) and the local weak density (lwd) in the space of permutation degree as well as the cardinal and topological properties of Hattori spaces are studied. In other words, we study the properties of the functor of permutation degree SPn and the subfunctor of permutation degree SPnG, P is the cardinal number of topological spaces. Let X be an infinite T1-space. We prove that the following propositions hold. (1) Let Yn⊂Xn; (A) if d(Yn)=d(Xn), then d(SPnY)=d(SPnX); (B) if lwd(Yn)=lwd(Xn), then lwd(SPnY)=lwd(SPnX). (2) Let Y⊂X; (A) if ld(Y)=ld(X), then ld(SPnY)=ld(SPnX); (B) if wd(Y)=wd(X), then wd(SPnY)=wd(SPnX). (3) Let n be a positive integer, and let G be a subgroup of the permutation group Sn. If X is a locally compact T1-space, then SPnX,SPnGX, and expnX are k-spaces. (4) Let n be a positive integer, and let G be a subgroup of the permutation group Sn. If X is an infinite T1-space, then nπw(X)=nπw(SPnX)=nπw(SPnGX)=nπw(expnX). We also have studied that the functors SPn, SPnG, and expn preserve any k-space. The functors SP2 and SP3G do not preserve Hattori spaces on the real line. Besides, it is proved that the density of an infinite T1-space X coincides with the densities of the spaces Xn, SPnX, and expnX. It is also shown that the weak density of an infinite T1-space X coincides with the weak densities of the spaces Xn, SPnX, and expnX

TIAV multimedia system

This article discusses the features and trends of development of the process of implementation of multimedia systems in various

SOME PROPERTIES OF TOPOLOGICAL SPACES RELATED TO THE LOCAL DENSITY AND THE LOCAL WEAK DENSITY

Abstract: In the paper the local density and the local weak density of topological spaces are investigated. It is proved that for stratifiable spaces the local density and the local weak density coincide, these cardinal numbers are preserved under open mappings, are inverse invariant of a class of closed irreducible mappings. Moreover, it is showed that the functor of probability measures of finite supports preserves the local density of compacts

APPLICATION OF HEART RATE VARIABILITY IN THE RAPID FUNCTIONAL ASSESSMENT OF ATHLETES

The sympathetic type of overtraining manifests itself as level of perceived psychological stress increases and coordination reactions decreases during exercise. Clinically this syndrome is manifested by an increase in heart rate, arterial hypertension with frequent headaches. Moreover, most athletes experience an increase in body temperature with a characteristic increase in metabolism. The parasympathetic type of overtraining is a phase of “exhaustion” with an indispensable decrease in the body’s performance. According to the founder of the theory of stress Hans Selye “ exhaustion phase” is an irreversible reaction of the regulatory system, denoting the “death” of the body. The study was conducted at the premises of the sports medicine and rehabilitation center at the Akbulak Olympic Center (Almaty region, Republic of Kazakhstan) with the participation of 30 highly qualified athletes involved in Greco-Roman wrestling of the main group and the control group consisting of healthy volunteers comparable exclusively to males aged between 18 and 35 years old. The sympathetic type of misadaptation is characterized as psychological stress with a typical behavioral and emotional manifestation. A change in autonomic regulation with a predominance of the sympathetic link is an early indication of a breakdown in adaptation with a decrease in performance. With increased sympathetic regulation the athlete’s body is in a condition of constant stress and internal tension, in the future such condition can become a predictor of the occurrence of organic disorders