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             \author[1]{  L.A.Pomortsev}

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\date{\small \em Received: 10 December 2018 Accepted: 2 January 2019 Published: 15 January 2019}

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\begin{abstract}
        


The mathematical definition of the System is proposed on based from different and above all humanitarian sources. This definition a prerequisite for the creation of the mathematical apparatus of the Systems and particulare the Control Systems wich are submit to him. A non algorithmic (i.e.mathamatical) language of logic and actions has been created for Systems. Their informativity is result of the application of the systems definition. Informativities values for ordered and disordered Systems are calculated. Their comparison can be used to construct a computer with nonlinear memory, although to a greater extent it is of philosophical importance.An example of the System is the proposed article presenting in form the implementation of the text System. This work serves as a mathematical justification of Informatics as science on the basis of the principles of naming Objects in the process of forming Subjects from them.

\end{abstract}


\keywords{axiom, postulate, complexity algorithms, alphabet}

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\textcolor{GJBlue}{\footnotesize \\ Artificial Intelligence formulated this projection for compatibility purposes from the original article published at Global Journals. However, this technology is currently in beta. \emph{Therefore, kindly ignore odd layouts, missed formulae, text, tables, or figures.}}
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\let\tabcellsep& 	 	 		 \par
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\section[{3)}]{3)}\par
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\section[{2116}]{2116}\par
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' ;??? ?/??? ????????????????? ?????????. 0121 ????????? ??????????? ???? ????? ???????????? ???? ????? ? ???? ????? ??????????, ??? ????????? ??? ? ?????????, ????????????? ? ?????????? ??????? ? ????????????? ?? ????? ??? ????????? ?? ???????. ??????? ??????????? ???????????? ??????????-???-??????????? ??????? ??? ???????????? ?? ??? ????????? ??? ???????? ?????????, ????????????? ?????????, ? ?????????????????? ???????, ? ??????? ?? ??????, ??????, ???????????? ?? ??? ????, ?? ???? ????????? ????????? ????????. ??????????????? ? ????????, ????? ?????????, ?? ????? ??? ?????? ? ???????????? ????? ?????? ????????????? ?????????. 0122 ????? (? ??????????) .0 ??????), ?? ??, ??? ?????????, ?? ???? ???????????? ???????? (? ??? ????? ????? ???? ? ??????) -?????? ???????????, ????????? ????? ??????????? ????? 6) ????? ?????? (?? ??.-????. ?????????? -????????? ?????? ?????) ????? ? ?????????? (??????? ? ?????????????? 5) ??????? ???????????? ? ?????????? ?????????? ??????????????? 6) ??????????? (?????????????) 015 ????????? ???????. ? ?????? ?????? ????????????? ????????? ?? ?????? ????????????? ?? ?????? ????? ?????????, ??????????????? ????????, ??? ???, ??? ??? ???????, ???? ? ??????? ??????? ??? ????? ??????????? ????????. ???????? ??????? ???????? ???????????? ??????, ?????????????? ?? ????? ?????????? ????????? ???????. ??? ?????? ?????? ?????????????? ???????????? ??????????? ??? ????? ?? ?????? ????????? ?????????? ???????? ? ???????? ???????????? ?? ??? ?????????. ???????? a) ?????????????? ?????? i. ???????? ?????? ????????? ?????? ??????? ?? ?????????, ?????? ?????? ??????? ????? ??? ???. ????????? ??? -??? ????????? [??. ????]. ????? ??????? ?? ????? ??? ?? ??????? ???? ? ???????????? ? ?????? ?????????? ? ???????? ??????. ????? ???????? ?????????? ???????. ??? ???????? ????????? ?????? ???????? ????????? ? ????????? ??????????? ?????????. ????????? -????? ???????? ???? ?????????, ????????? ? ??????????? ?? ???????? ???????? ?????. ????????? ???????? ????????????? ??????? ????????? ??????. ? ?????? «???. ?????????» ????? ????????? ????? ?????????, ??????? ????? ???? ?????? ??? ??????? ?? ?????????? ?????????? ??????. ?????? ???????? ?????????? ? ????? ?????? ? ????? ????????? ??????? ???? ?? ?????? ??? ???????????. ?????? ??????? ?? ?????, ????? ?? ????????? ? ????? ??????? ? ??????. ??? ????????, ??? ????????? ???????? ??????. ????? ???????????? ??????? ????, ?????????? ?????? ??????? ? 10-????? ??????? ?????????. ????????? ????? Ð?",  §, ?, ? ????????? ?????? ?????, ?????????, ??????? ? ?????? ??????????????. ? ?? ??????? ????? ?????????????? ????????? ???????: Ð?" -????? Ð?" Ð?" § -????????  § ? ????? Ð?" Ð?" §? -?????? ? ? ????????? Ð?" § Ð?" §?? -????? ? ? ??????? Ð?" §? Ð?"???? ????? ?????? ????????????? ???????????? ?????? ?????????. ????? ???????????? ? ???? ???????, ??????? ?????? ????? ??????????: ?????????? , ???????????? , ???. 010 "??? ????????? ? ??? ????????? ????? ? 2) ??????? ???? ?? " 0101 ????????? ?????????, ??????????? ? ?????????? ? ?????? ???? ? ??????, ?????????? ???????????? ???????????, ???????? N B? ?????????????? ?????? ? ???????? ????????? ????? ?? ????? ???????????? ???????? [??. 1303, ???.7]. ? ??? ??? ??????? ???????? ??????? ??????? ?? ?????? -??????, ??????????? ? ???????? N B ??????? ????????, ????????? ? ???? ????????, ??????? ? ???????????????? ? 1303 [???.7], ???????? ???????????????? ? ????????? ???????????? ??????? ???????. ?? ???????????, ?????? ? ??.0 «?????? ? ?????? ??????», ?????????? ????????? ????? ??????? Error! Reference source not found., ?? ??????? ??? ???????? ?? ?? ??? ?????????. ??????????? ?????????, ?????????? ?????, ?? ??? ?????????? ???????????? ??? ?????????????? ???????????? ???????? (???????????) 3) . ??? ????? ????? ???????????? ??? ? ???????? ????????????????, ??? ? ? ??????????? ????; ? ???????? ????? ???? ? ??? ???????. ? ?????????? ? ? ?????????????? ?????? -??????????? ??????, ???????????? ? ????????? ? ?????????? ??? ????????? ??????????. ? ?????? ????????? -??????, ???????????? ??? ??????????? ????????? ???????????? ?????????, ???????? ???? ????????, ?????, ?????????????? ??????????? ? ???? ?????????. N B??????? ??????? ?? ???????? ??? ?????????, ?? ???? ????????? ??????? (?? ???. subjectum -??????????) ? ? ? ??????????, ??????????, ????????????? ????????? ?? ????????? ????????????? ???????? ??? ???????? ?????????. 3) ? 0111 ???????? ???????? ??????? «?????? -???????? ; ??????? -???????», ?????????? ?????????? ???????? ?????? ?????????. ?????? 5) ? ????? ????????? ?????????? ??????? -???????? 10) ?????? ????????????? ??????? ???????? ???????? ????????, ??????? ??????? ????? ??????? ? ?? ???????? ????? ???????? ????? ????? ? ? ???? ??????? ?????????? ??? ???????? ??????????? ? ????????????? ????????? 11) ????? [ [??. 1303, ???.7] ????? "????? 3) 4) 9) ????? ? ????? ????? ??????? ???????????? (????????) ????-???? ??????????? (??????????? ??????????) 8) (???. interpretàtio) ??????????, ??????????, ????????? ?????? ??????????? ?????????? ????? ?????? ?????; ?????????????????? "????" -????????, ???????????? ??????? ??????? ??????-??????????????? ?????????? ?????? ?????? ????? ??????????? ? ????????? ????? ????? ?????? -??? ??????? ??????? "???????", ?? ???? ?????????, ???????????? ???? ?? ????? ???? ??????? ????????, ? ??????, ???? ?????, ?? ??????????? ???????? ??????????? ?????. .1 ???????, ????? ??????? ?????? ????????????? -??? ????? ??????, ????????????, ????? "?????????" ???????? (?? ???? ???????? ???????? ?????), ????????? ?????????? ??? ???????, ?????????? ??????????? "???????????????" ?????, ? ????? ????? ? ?????? ?????? ? ??????????? ??????? ????? ?????? ??????? ??????????, ????? ???????? ?????????? ????. 0122 ????? (??????????? ??????????????? ??????????? ? ???????) -???? ?? ???????? ??????????? ?????? ?????, ??????? ?????? ??? ?????????? ?????????, ?? ??????? ? ?????????????, ?? ??????????????, ? ????? ?????????? ?????? ? ??????????? ???????, ??????????? ???????????? ????????????. ????? ? ?????? ????? ?????????? ???? ?? ???????? ???????ó? ?????????????????? ???????? ?????????? ??????. ??? ?????????? ?????? ??????? ????? ? ??????????? ???????? ? ???????? ??????????????????, ?????????? ? ????????? ??????????, ???????? ????????? ??????????? ?????. ????????? ? ??????????? ????? ???????? ??? ?????????? ?? ???????? ???????????? ???????????? ????? ?????? ???????. https://ru.wikipedia.org/wiki/???????? ???????? (???. recursio -???????????) -??????? ?????????? ????????? ???????????? ???????, ? ????????? ? 1) ? ?????????????? ?????????? -?????????? ??????? ? ???????? ????? (????? ??????????????????) ????? ???????? ???? ?? ??????? ? ?????? ?????? (????? ?????????? ????? ??????????????????) 2) ? ???????????????? -??????? ????????? ?????????? ??????? ? ?????????????? ?????? ?? ?????. 3) ? ??????????? -??????????? ????? ????????? ????????? ??????????? ? ???????????. [??. 2) ???? -???????? ???????, ??????????? ?????????? ?????????? ? ??????? ???????? (?????????). ??????? ?????: 1) ??????????????? (???????) 2) ???????????? (???????????????????, ???????????) [??. 3) ????????? ???????? -??????/????? ?????????? ???????? ?????????? ????????????? ????? ????? ??????? ????????????? . -???????? ????? ??? ??????????? ????????? ???????, ???????????? ??? ?????????? ??????. (1) ???? ? ???????? ????????? ?????? ??????????? ??????. ? «??????» http://ru.wikipedia.org/wiki/???\textunderscore ??????????? -????? ???????, ?????????? «????????? ?????? ?????? -???????????? ???????????? ??? ??????????? -?????? ? ???. n?m?n proprium, ?? ?????» ??? ??????? ? ?????; ???????, ?????????? ??????????? ?????????? ?????????????? ?????, ????? ? ????. ????? ?????? ??????????? ??? -??? ??????? ????????? (???????). ?????????????????? ??????? ????????? ?????????? ? ??., ?????????????? ? ???????????????, ???????????? ????? ??? ??????????????, ??????????????? ??? ????????? ???????????, ?????? ????????????? ???????? ??? ???????, ?????????? ???? ??????? ??? ??????? ?? ???? ?????????? ????????? ??? ???????. ??? ??????????? ??????????????????? ????? ??????????????. ? ??????? ?? ?????? ????, ??? ??????????? ?? ??????? ??????????????? ? ????????, ??? ???????? ???????? ??????????? ? ??? ????? ? ????????????. https://ru.wikipedia.org/wiki/???\textunderscore ????????????? ??? ????????????? (?????????? ??????? ? ???. nomen appellativum, ?? ??.-????. ???????????? -????????) -? ?????????? ??? ???????????????, ???????????? ???????? (?????????) ????? ?????? ???????? 5) , ??????? ????? ????? ????????, ? ?????????? ??? ??????? ?? ?? ?????????????? ? ?????? ?????????: ??????, ???, ????????? ? ?. ?. [ . , ??????? ???????????? ????? ? ??? ????????????? ?????????? ??????????????, ??? ?????????????. ???????? ??????? ????? ???????? ??????????. ??? ??? ??????????????? ???????? ?????????? ????????? ? ???????????? ?????????? ?????????? ??????? ?????. ? ?????????? 6) ??? ??????????? (?? ???. appellare -?????????) ?????????? ?? ??, ??? ? ??????????????? ?????????????. ??????????? ???????????? ??????, ? ????? ?????? ???????????? ???????????? ?????????? ???????? ?????????? ??????? ??? ????????. ? ?????????? ????? ?????? ?????? ??????? ??? ???????? -??? ??? ????????? ???? ???????, ???? ? ????? ????????, ?????????, ???????. ?????? ????????? ? ??????? ????? ????? ?? ?????? ????????????? [??] ????????? (??.-????. ?????????) -????????????, ?????????; ??????? ?? ?? ?? ? ? : ?????????, ???????, ??????? 7) ? ????????? -????????? ????? ??????? [??. -???????, ???????????? ?????? ? ?????????? -????????? ??????? ????????????????? ??????????????????? ???? ????? ?????????????? ???????? ?? ??? ? ? ? ?? ? ? ? ?????????: ???????? ?????????, ????????????, ?????, ??????? [???? -? ?????????? ??????: ?????? ?????, ?????????? ?????? ?????? ?/??? ??????]. ????? ???? ???? ? ??????? ? "??????????? ??????????, ?????? ??? ? ???????? [??. ?.?.?????]" ????? ?????????? ????????? (????? ??? ?????????? ? ???? ?????????), ??????? ?? ????? ??? ??? ?????????, ????? ?????????? ???????????? ? ?????????????? ???????. Ð?"? ? ? ?? ? 9) ?????????: ??????? (????. cluster -?????????) ??????????? (???????? -[??]) ?????????? ?????????, ?????????? ????????????? ?????? ??????????. ?? ?? ?? ? ? : ???????, ?????, ??????, ????, ??? ? ???, ??? ?????? ???? ? ? ? ??? ? ? ??? ? ? ? ?????????. ????????? ???? ???????, ?????????? ????????????, ???????? ???????? ? ????????? ??????? ???????????????? ? ???????? ? ???????? ???????????? ????????, ????? ? ????????? ????????? ? ??????? ? ?? ???????????? ? ????????; ????? ??? ??????? ??????, ??????????, ?????????? ???????? ?????????? ?????? ?? ???????????? ????? ? ? ???????????? ????????????? ??? ??? ?????????. ?. ???? «... ?? ?????, ??? ??????????, ? ??????? ?? ??????????, ????????? ?? ????? ?????????, ????????? ????????? ?????????? ?????????????? ?????» (??????? ?., ??. ????? ?. ? ??????? ?., ???., 2 ???., ?. 20, ?. 550). ?. ?? ?????? ???????? ?????, ?? ? ?????????? ????????, ?? ???????? ? ?????????, ????????????? ????????? ? ???????????? ? ?? ?????????? 019 http://ru.wikipedia.org/wiki/?????? ?????? -??????, ??????? ???? ??? ?????????. ???????? ????????????? ?????????? ?????????, ?????????? ????? ??? ?? ??????. ?????? ????????? ??? ????????????? ????? ?????????? ???????? (2) ????????? ???????, ???????? ? ?????? ?????? ????????????? ??????????? ?????????? ??????????, ????? ?????????????? ??????, ? ???????? ??????? ????????? ? ?? ?????????. ? ????????????? ????????????????? ????????????? ?????????????? ???????????????? ?? ?????? ??????, ??????????? ? ??????, ???? ???????? ?? ??????????. ??? ???? ? ???? ????????????? ?????????? ?????? ???? ???????????????? ? ??????????? ? [ ??? ] 0192 ????????? ???? ? ?? [??? ?http:/????????????????? ???????????? ? ?????????????, ???????? ????, ??????????? ?? ????????? ? ??????? ????????????, ??? ????? ????? ? ??????????????? ???????, ????????? ???????? ? ?? ?????????????. N B ?? ????? ?????????? ? ??????????? ? ????????????? ????????????. ? ?????? ?????????????? ??????? ??? ?????? ????????? ?????????????. ?????? ? ?????? ?????? ??????? ????????????? ??????? ?????????????? ??????????? ???????? ??????????, ???????? ???????? ?? ????????????????, ?? ? ????? ?????? ??????????.  ? ??????? ????????????? ? ???????????? n-????? ??????????, ? ??????? ?ó????? ???? ?????????? ????? ????? ?? n-????? ????????? ????????? ??????????????? ????????????, ? ??????? ??????????? ???????? ?? ??? ?????????? ?????????, ?????????? ? ??????? ?????????? ??????????. ?????? ??????? ??????? ?????????? ?? ( ) G Volume XIX Issue IV Version I ?????? ? ??????????, ??????? ?????? ? ??? ?????????? ?????? ???????, ?? ???? ??????? ?? ????????? ? ???? ??????. ????? ?????????, ???????? ???? Year 2 019 ??????????? ???????? ? ??????? ? ?????????? ??????? ??????? ? ??????? , ?? ???? ??????????? ?? ?????? ?????????? ?????? Error! Reference source not found. ?????? ???????? ??????? ??????? ???????? [??. ? ??????? ?????? ???????? ????? ?????? ?????? -??????????? ? ?????????, ???????????? ???????????. ?????????? ????????/????????? A B ???????? ?????????? A PRIORI ????????/ ????????? A ? B . 112??????? ??????? ???????????????? ???????, ???????, ? ???????? ?????, ? ???????????? ??? ????????? ???????? ??????? ?? ???????? ? ??????? ??. ???????? ?????????? ???????????? ?????? ???????? ??????????????? ?????????, ??????? -???????? ??????, ?? ???? ???????????????? ??????????, ??????? ? ?????????? ???????, ?????? ???? ???? ? ?????? ??????? ?????? ???, ??????????? ?? ?????????? ?????????? ???????, ??? ?????? ?????? ???????? 12) . ????? ???????, ??? (?? ??, ??? ?????????????) ???????? ????????? ????????? ??????? ?? ?????? ???????? ???????? ??? ???????? ? Global Journal of Computer Science and Technology ???? ??? ??????????? ??????????? ??????? "???????" ???????? ? [??. 2110, ???.9]\end{longtable} \par
  {\small\itshape [Note: Error! Reference source not found., ???.Error! Bookmark not defined.].Error! Reference source not found.,???.5]    ? ???[??. 187, ???.9]. ? § Error! Reference source not found.[???.Error!Bookmark not defined.] ? 1303 ???????? ? ?? ??????????????, ????????????? ????????? ??????? 3) [???.2] ? ??????????????????? ??????????? ???????? ??????? . ??? ?????????? ???????, ?????? ??? ?????????. 0111 ?????? (?? ???. objectum???????) -2) ??????????" ?.?.????? ? ???? ?? ?????????? ?? ????? Error! Reference source not found. [??. ???.10] ????????????? ?? ???????????? ? ??????? ?????????? (2). 4) ?? ????????????? «Silentium!» («?????????!» «?????!») ?.?.?????? (1803-1873) ?? ? ?? ? ? ???. principum??????, ????????????? ?/??? ????????? ???????. [ ?? ? ?? ?? ????????????, ??????????? ??????? [???.4] ????????? ??????? ? ??? ????? ? ????? ????????? ??? ????????? [??. ???.Error! Bookmark not defined. ; (4) , ???.8 ? 131, ???.7]. ?? ? ?? ?? ???????? ????????? [??. 9) , ???.4] ?? ? ?? ? ? ? . ????????????? ???????????? ?? ? ?? ? ? ???????? ??????????? ????????????? ? ??? ??????????? ?????????? : "????????? ??????? ?????????"[?????? ? , ???. [???.6], ?????????????? ? ??? ?????????? ?????????? (????????????), ??????? ???????? ? ???? ??????? ????????? ????????? ?? ???????? ? ?????????????? ?? ?????????????. ????????? ?????????? (2) [???.6 ] ??????? ?? ??????? ? ??????? ????????? ????????? ????????, ?????????? ? ??? ??? ?????????????? ????????? ?? ?????????. Error! Reference source not found. [???.Error! Bookmark not defined.]. ? ?????????? ?????????? ?????????? ???????? [???.Error! Bookmark not defined.] "????????????, ???????????????? ??????", ? ?????? ??????? ???????????????? ????????????? ?????????? ? ??????? ?????? ?????????, ????? ??????????? ? ???????? ???????, ? ?????? ?? ?????????????. Error! Reference source not found., ???.Error! Bookmark not defined.]]} 
\caption{\label{tab_0}Error! Reference source not found., ???.Error! Bookmark not defined.],}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{} \par 
\begin{longtable}{P{0.7079759363477586\textwidth}P{0.017484960217349115\textwidth}P{0.0966621385600621\textwidth}P{0.008742480108674558\textwidth}P{0.0013196196390452164\textwidth}P{0.0003299049097613041\textwidth}P{0.017484960217349115\textwidth}}
\tabcellsep \multicolumn{3}{l}{Systems verbalization}\tabcellsep \\
\tabcellsep \tabcellsep \tabcellsep \multicolumn{3}{l}{? ???????? ???? ?????? ? ?? ??????????,}\\
\tabcellsep \tabcellsep \multicolumn{4}{l}{????????? ?? ???????? ?????????????? ????????}\\
\tabcellsep \tabcellsep ????\tabcellsep ??????????????\tabcellsep ???????.\tabcellsep ??\tabcellsep ????????\\
\tabcellsep \tabcellsep \multicolumn{4}{l}{????? ????????? ? ???? ???? ????????. ?? ???? (2) ?????????????? ?????? ???????, ?? ???? ?? ?}\\
\multicolumn{2}{l}{??????????? ????????? ? ?????? ??????? ???????? ????? ???? ?????????? ???????? ?, ? ?????????, ????????? ???????? ???? (3) ?? ?? ??? ? ? ? ? ?? ?? ? ? ??? ?????????? ??????? ??? ????? ???? ?????????}\tabcellsep \multicolumn{4}{l}{??????????. 122 ?????????? ?????????????? ??????? ???, ?????????????? ? ???????, ????????? ??? ? ?????? ???????????. ?????????????, ?? ?? ? ??????? ????? ???????????, ????????? ????? ???????????, ???????????? ?? [???] ? ?????????????? ???????????? 13) , ??? ?????????? ?????? ??? ???????? ???????? [??. 3) , ???.2], ?? ???? ?????????, ? ?????? ? ???? ??? ?????? ???? Error! Reference source not found. [???.Error! Bookmark not defined.],}\\
\multicolumn{6}{l}{(2) [??. 14, ???????????, ???????????? ? ???????. ? ???? ???????? ??? ????????? ?????????????? ?? ??? ???????????? ??????????????, ??????????? ???????? ?????? ???? ???????, ??????????? ????????? ?? ?? ?? ? . ? ???????????? ? ????????? (1) [???.6] ??? ????? ????? ???????? ? ????????? ????????? ?????? ????????? ??????? ??????? ? ?????????? ?? ?? ????? ????? ?? ?????? ?? ?????? ? ??????????? ?? ??????????? ?????????, ?? ???? ?????????, ? ??????? ?? ???????????. 123 ???????? ?????????????? ????? Ð?"????? ?, ???????, ??????? ??????????????? ????? ???????? ??????????? ??? ????????????? ? ???????? ?????? ?? ? ?????????? ?????? ??????? (2) ????? ????????? ?? ??????? ???????? ????????? ????????????? ??????????? ?????? ? ???????????, ????????????? ?? ????????? ?????????? ??????? ????????/????????? ????????????? (???????, ????????? ? ??.), ???????? ???? ??. ?????????? ????? ??????? ? ?????? ???????????? ???????? ????? ??????????, ??? ??????? ???????? ?? ????????????? ? ??? ?????????. ?????? ???????????? ??????? ??????????????? ???????? ??????????????? ????? ???????????. ??? ????? ??????? ????????? ???????? ?, ??? ?????????, ??????? , ??, ??? ???????? ?????-???? ?????? ? ???????? ??? ?? ??????? . ???????, ?????????? ? ????? ?? ???????? ??????? ?????????? ???, ??? ?? ?? ????? ???????????. ???? ?????? ????????? ???, ??? ?? ???? ?????? ??????? ????? ?????????? ?????????? ???????? ??????. ???? ?? ??????????? ?????????, ?? ??????, ?? ?????????? ????????? ??????? ?????????. ?? ???? ???? ???????, ? ??????? ??? "?????????????" ???????. ???? ?? ??????? ????? ?????? ??????? ????? ??????? ?????? ? ?????????????? ???? ????????????. ? ????? ? ?? ?????, ??????? ?????????? ? ?????????? ?????? ????????? ?????????? ??? ?????????? ???????? ???? ?????? ? ??????: ??? ?????? ??????? ??????? ??????????? ???????? ?????? ????????? ?????????? ??????????, ??? ?? ????????? ?????? ? ????? ??????? ??????????? ??????? ????? ???????????? ???????. ?? ? ? ?? ??? ??? ??????????? ? ?? ?? ? [??. (2), ??? .6] , ??? . Bookmark not ???????? ?????? 131 ? ??? ??? ?????????? ????? ? ???????????? ??????? ?????? ??????????? ???? [??. ???????????? ??????????? ? ??????????????? ???????? ????? ? ??????????. ? 2110 [???.9] ?? ?????? Ð?"????????. ????????? ?????????? ???? ? ?????? ???? ?? ???????? ? ?? ???????? ??? ???????? ???????? ?/??? ? ????? ??????. N B ? ??????????? (2) ?? ?? ????? ?????? ???????????? ??? ????, ????? ?????? ??? ???????? ??????, ?? ????????? ? ??? ?????????. ??????? ???? (2) [???.6], ? ??????? ?????? ????? ?????????????? ???????? ??????????, ????????? ??? ??????????????, ?? ??????? ?????????. ? ????????? ? ??? ????????? ???????????? ?? ???????? ????????? ? ??????? . ?????????? ???????, ????? ???? ?????? ???, ?? ????????, ??????????? ? ??????? (3) ?? ?????????, ?????????? ???????? ????????? ???????, ?????????? ??? ???????????? ? ??? ????? ?????????/ ????????. ??????????? ???????? ???????? ??????? ???????? 14) ??????????. ?? ? ??? : ????????? ????? ???????? ????????-?????????? ?????????? ??? ??????? , ?????????????? ????????? ??????. 1303 ?????? ? ????????? ????????? ???????? ??? ????????????? ?????????, ?????????? ? ???? ??? ????????? ?????????? ???????. ? ????? ??? ?? ????????, ??????? ???? ????????? ??????? ????????????? ? ?????????????? ??? ??????. ????????????? ???????? ????? ???? ????????? ?????????? ?????????. ?? ????? ?? ? ?????? ? ??????? ????????? [??. Error! Reference source not found., ???.4]. ?? ???????? ????????? ??????????? ??? ??? ???? ?????????, ?? ????????? ???????? ?????????? ????????????? ???????, ?? ? ????????????? ?????????? ????????? ??????????. ????????? ??? ????????? ???????????? ?????? ?? ?????? ???????????? ???????????? ? ?????? ?? ??? ????? ?? ?????? Error! Reference source not found. ????????? (3), ??????????? ?? ?????? ????????? ??????? ????????/????????? ????????????, ??? ??????? ?? ??????????? ???????? (3), ? ??????? ?????? ?? ???? ? ???????? ? ????????? ??????? ? ?????? ???????????, ???????????? ???????? ??????, ?? ???? ??????? ??????? ????????????? ??????????? ??????????? [???], ??????? ????. ?? ???? ???? ??????????????}\tabcellsep ( ) G Global Journal of Computer Science and Technology Volume XIX Issue IV Version I 7 Year 2 019\\
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12)\tabcellsep ? ???????? ???????? ????? ?????? ??????????? ?????????\tabcellsep 13) 15)\tabcellsep \tabcellsep \\
\tabcellsep ?????????? ???????????? ??????.\tabcellsep \tabcellsep \tabcellsep \end{longtable} \par
  {\small\itshape [Note: Error! Reference source not found., ???.Error! Bookmark not defined.], ?????? "??? ???? ?????? -?????? ??? ???? ?" . ?????????? ????? ?????, ??? ???????/ ???????? ( ???????? [??. 1303, ???.7]), ?????????? ??? ??????? ??? ??????? ??????? (2) [???.6] ? (3) [???.6], ??????? ? ?????????? ??????? ????? ???????? ?????????, ?? ???????? ??????: ?????? ? ??? ?????????? ????????, ? ?????? ???? ???????? ? ??????? ???????? ?????, ??????? ????? ???? ??????? ? ??????? ?????? ? ????? ?? ????? ????????? ? ??????? ????????, ??????????? ???????/??????, ?? ???????? ????? ???? ??? ????? ????????? ???????? ( ??????), ? ? ???????????????? ???????? ( ???????). [???.Error! Bookmark not defined.]. ? ?? ?? ????? ?????? ??????? ???????/???????? ???????? ?????????????, ????????? ????? ??????????????? ?????? ??????? ??? ????????, ? ??????? ????? ????? ??????? ???????/???????? ??? ???????? ???????????? ????????/??????? ? ?????? ?????? ????? ????. 14????????? ??????????????? ?? ? ?? ?? ? ? ? ?? ?? ??? ?? ?? ? ?????????? ????? ??????, ??????? ????? ? ???????? ????????? ?????????? ? ?????: ??????, ??????????, Ð?"?.?????, ?.?????, ?.Ð?"?????, ?.?????, ?.Ð?"????. ?.????, Ð?".Ð?"?????, ?.?????, ?.???????, ?.?.???????????? ? ??. ?? ???? ???? "??? ??? ????, ? ????? ??? ?? ??????, / ?? ?" 15) ??? ?? ????? ? ???????? ??.0 «?????? ? ?????? ??????» ???????? ?????? ????????????? ? ????????? ????????????? ???? ? ????? ????? ? ?????????? ??? ?????????????? ?????? ???????. ????? ? "? ? ????, ? ?? ????? ??? / ????-?????? ??????? ????? " ?.?.???????????, «????????????? 1818-1834», ? CXII [??.defined.]]} 
\caption{\label{tab_1}?? ?? ??? ? ? ? ?? ?? ??}\end{figure}
 \begin{figure}[htbp]
\noindent\textbf{} \par 
\begin{longtable}{}
\end{longtable} \par
 
\caption{\label{tab_2}????? â??" ??????? ?? ?? ?? ? ?? ? ?? ? ? ? ? ? ??????? ? ?? ?? ???}\end{figure}
 \begin{figure}[htbp]
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\begin{longtable}{P{0.42441939890710384\textwidth}P{0.0017418032786885246\textwidth}P{0.0018869535519125682\textwidth}P{0.0017418032786885246\textwidth}P{0.42021004098360654\textwidth}}
\multicolumn{4}{l}{???????, ?????-???? ??????? ?????, ???????,}\tabcellsep ????????? ???????? (?????????) ? ???????? ??????????? 19) , ??????? ????? ???????????? ?????? ??\\
\multicolumn{3}{l}{???????????? ????? ? ?.?.}\tabcellsep \tabcellsep 1) ???????? ? ????????? ?????. ?? ???????????? ? ?????????? ????? [????]\\
\multicolumn{4}{l}{152 ?????? ?????????? ???????? ??????? ???? ??????? . Ð?"?? ??????? ??????? ?????????? -??????? , ? ??????? ????????? ?????????????, ?????????????? ????, ? ????????????, ???????? ????? ???????????? ? ????????? ??????: ?? ? ?? ?? ??? ? :???? ??? ?????? -??? ??????? ; ???????????? -???????????? ???????? ????????? .1 .2 .3 ?????????? ?????????? ??????? ????? ????????????? ????????? "????" ? "??????". ? ???? ????? ?? ???????????? ????? ????????? ? ????????? ???????????? ????????. ?? ????? ???????? -"??????", ? ????? ???????? -"????". ?????? «????» ? [???5] ? ?????? ??????? ??, ?????????? ????????????? ?????????, ??????????? ? ?????????? ??????????? ? ??? ???????? ???????? ???????? ????????? ?? ???????????????. ????????????? ? ???????? ?????? ????? ?????????, ?????????????? ???????? ????????????? ????????? ???? ? ?????? ?????????? ????? ? ? ?????? ???????????? ????????? ????????????. ?????????? ???????? ? ????????????? ???? ? ???????? ?????????? ???????????????? ?????????? ?????????: ?????? ???? Ð?"?? ?????????? ???????? ? ???????? ????????? ????????? ???????????? ??????????? ???????? [??. ????????????? ???????? ???????, ???????????? ? ?????????, ??? ???????? ??????????? ?????? ??? ??? 122, ???.6] ??????? ????????? ???????. ? ????????? ?? ????? ???? ?????-???? ??????????? ?????????. ??? ?????????????? ?????????? ?? ?? ??????? ?????? ???????????? ?????????, ??????? ????? ???? ?? ?????????? ????????? ?? ????? ???? ???????? ?????????. ???????????? ?? ?????? ????????? ??????? ???????????? ?? ????????? ?????????, ???? ??????? ????????????? ???? ? ?????????, ?????????? ??????? ????? ?????. ?? ?????????? "?????? ?? ?????" 16) , ??????? ?? ???? ?????????? ?????? ?????? ?????? ??????????? ??????????-??????????????.}\tabcellsep "????????????? ?????????", ??? ????? ? ??????? ???????? ?????????? ???????? ??????? ?? ???? ????????? ????? ???, ????????, ???????? ?????????? ?????????? ? ??????????? ??? ????? (??????? ???????). 2) ?? ???????????? ? ????? ?????????? ?????? ????? ???????? ???????????? ????? ? ???? ?? ?????? ?? ??????????. ????? ???????? ?????, ?? ?????????? ????????? ?????? ????????????? (?????? ?? ??? ?????????? ?????????? ???, ?? ??? ???, ???????) ? ?????? ??????? ??????????? ??????? ??????? ? ? ?????? ?????? ?????????? ???????. ???????? ???????????? ????? ?????? ? ??????????? ??? ????????? ?????????? ? ?? ??? ??????? ???? ???????????? ????? ? . ????? ????????, ??? ???????? ????? ????????? ? ???? ?????????????? ????????? ? ??????, ? ??? ????? ?????????? ? ??????? ?????????-????????????? ?????????. ??????????? ? ???????????? ????? ? ?????????? ??????????????? ?????, ???????? ??????? ??????? ?? ??????? ?????????? ?????????? ????? ????????????. 17 .2 ???????????????? (??????????): ??????????? [??] ????????????? ????????? ??????? ? ??????????? ? ???? ????????? ???? ??? ??????? \textunderscore  ??? ???????? ????????? 20) ????????? ? ???????? ????????? ? ??????? ????????????, ?????????? ?????? \textunderscore  , ??????? [??] ??? ?????????????. .3 ???????????????: ????????????? ? ?????? ???????? ????????? .1 ? .2 ???????????? ???? ?????, ?? ?? ?????????? ? ?????? ????????? ?????? ?????????. 185 ??????????? ????? ??? ????????? ???????? ? ??????? ???????????? ????????, ?? ???? ??????? ??????????? ????? ?? ????? ???????? ???. ??????????? ????? ???? ????? ???? ???????????? ??? ?????????? ???? ?????????; 186 ???????? ???????? ????? ??? ?????? ???? ?????? ????????, ?? ???? ? ???????? ??????? ????? ??????? ? ?????????? ?????? ????? ????? ???????-??????????? ????????????. ?? ????? ??????? ? ????? ??????? ?????????? ?????????? ????? ???????????? 1) ?????? ??? ????????? ? ????? ??????? ?, ???????? ? ????????? ?????????: 1) 2) ???????? ? ?????????? ??????? ????????, ???? -???????? ????????? ?????????? ???? ? ??????, ????? ?? ?? ????????? ?????????? ??????? ???? ???????? ?????????? (?????? ) ????????? ????????? [??. ???????? 1) ? 2) ???????? ????????????? ?????????? (????????????????) ????????? ? ???????? ????. 187 ????????? ???? ???????? (???-??????????) [??.\\
\multicolumn{4}{l}{????????? ????????? ????????, ??????????? ?? ???????? ?????}\tabcellsep ??????\\
\multicolumn{4}{l}{???? ???????????? ?????? ???????, ????? ?????????? ???, ?????????? ???????? ( ??????? ?????? ??}\tabcellsep ????? ??? ??????????????, ?????????? ????? ??????????\\
\multicolumn{4}{l}{? ??????????? ????????? ??????? ???????. ???? ???? ???????????!) ? ??? ????? ???, ?????????? ?????????}\tabcellsep ??????? ? ??? ??????????? ? ??????? ????????? ?\\
\multicolumn{4}{l}{?????????? ? ?????? ????? ???????, ??? ?? ??????? ????????? ?????????? ??? ??????????????, ???????}\tabcellsep ???????? ??????????? ????? ? .\\
\multicolumn{4}{l}{[??. ?????????. ??????????? ???????????? ????? ????? ?????? ?? ?? ?? ? ????????? ? ??????? ??? ?????????? ?????????? ???????, ?? ???????? (4) ?????? ????????? ?? ?????????? ?????. ????????? ? ??????? (?? ? ??? ?) ????? ???????? ????????????? ???????? ?????? ??????? ???????? ????????? ????????? 17) ???????? ????? ? ???????, ??????????? ? ?????????? ?????????.}\tabcellsep , ? ??????, ?? ??, ??? . ?????, ??????????????? ??????????? ??? ?????????? -??????? ???????????????? ? ??????? ?????????????? ??????, ? ??????? ???????? ? ???????????? ?????? ? [???] (?????????. terminus -??????, ?? ???. terminus -\\
\multicolumn{4}{l}{???????????? ????????? ??????? Error! Reference source not found. ???????? ?????????? ? ????????? ?????? ?????? ? [???.Error! Bookmark not defined.], ?? ?? ???? ????? ????. ????? " ? ??? ?? " ??????? (2) ????? ???? ????????? ???????????? ?????????? [???.6] ???????? ? ??????? ???????? ???????, ?? ???? ???????. ???????????????.}\tabcellsep ??????, ???????) ????? (??? ????????? ????), ?????????? ?????? ???????????? ????????????? 18)\\
\multicolumn{3}{l}{???????????, ???????????????? ??????}\tabcellsep \\
.1\tabcellsep ????????????\tabcellsep (???????????,\tabcellsep ??????????):\\
\multicolumn{4}{l}{???????? ??????? ??????? ??? ????????????? ?? ?}\end{longtable} \par
  {\small\itshape [Note: 16) «???? ?????, ???? ????-?? ????? ??????? ?????, ?????????? ????? ?? ?????, ????? ?????? ?? ?????, ????? ????? ??? ????????» ????? ? ????? ???????. ???? (??????????????? ??.)????? 17) ??.-????. ????????? -?????????????????? Error! Reference source not found., ???.Error! Bookmark not defined.]. ????? ??????? ??? ????????? ? ????? (????? ??? "????"), ???? ??? ??????? ???????? (2) [???.6] ? ????????? ????????? ??? ???????? (3) [???.6] ? ????????? ????????? ????????. «??? ???????? ? ?????? (?. ?. ???????) ???????????, ?????? ???? ?????????, ??? ??????? ???? ? ?????? ???? ?????????, ??????? ?????????????? ? ???????. ???, ????? ??? ?????? ????????? ???????, ?? ????????? ? ?????? ?????... ??? ???????? ???????????? ????? ???????????? ? ? ????? ??????? ??z??????, ??? ????, ???????? ????? ????? ??????, ??????? ?? ???? ? ???? ??????, ??????? ???????? ???????, ??????? ?? ???? ???????? ????????...» ?.?.?????????]} 
\caption{\label{tab_3}Error! Reference source not found.}\end{figure}
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\begin{longtable}{P{0.47059156524200396\textwidth}P{0.01611944523068214\textwidth}P{0.2735493914520238\textwidth}P{0.039697141239739595\textwidth}P{0.018044155108972542\textwidth}P{0.029592414378714973\textwidth}P{0.0024058873478630055\textwidth}}
\tabcellsep ??????\tabcellsep \multicolumn{2}{l}{U;DA ? AV;C U;C ? V;D}\tabcellsep -???????????? ????? ???????? ???\\
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???????\tabcellsep {}[??. (2), ???.6 ? 1303, ???.7]\tabcellsep \multicolumn{3}{l}{???????? ??????? ??? ???????? ?????????.}\\
\multicolumn{2}{l}{????????????? ??????? ?? ????? ? ??????????}\tabcellsep \multicolumn{2}{l}{?? ?? ?? ? ? :}\tabcellsep ????????,\tabcellsep {}[??. 14, ???.7]\\
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2101\tabcellsep ????????? ????? /?? ? ??????? ,\tabcellsep \multicolumn{3}{l}{U;DA U;DA A , aU;DA a A , aU;DA}\tabcellsep a A\\
\multicolumn{2}{l}{?????/ ?????????? ? ???????}\tabcellsep \multicolumn{2}{l}{?????? aU;DA}\tabcellsep a A ????? ???????? ??? ???????????\\
\multicolumn{2}{l}{??? ?? ??? ? : ????????? ????????}\tabcellsep \tabcellsep \multicolumn{2}{l}{a A ?? ????? aU;DA}\\
\multicolumn{2}{l}{????????, ??? ?? ????? ????? ???? : 211 Ð?"??????? 2110}\tabcellsep \multicolumn{3}{l}{???? ? ??????? ???? ???? ???? ? ???? ??????? ???? ?????? L ? ?????????? ???????????? ?? ? ??? : , ( ) ???????? ????? ?? ???????????. ?????????? ????????? ? ???????? ????? U;D ???????}\tabcellsep Year 2 019\\
\multicolumn{2}{l}{??? , ??????? ??? ???????, ??? ???? ????? ? ????? Ð?"??????? ???????? ????????????? ???????? ???????????? ?????? ????????, ?????????????? ????????????? ??????? ??????? (2) [???.6] ? ?? ? ?? ? ?? ??? (5) ?? ?? ?? ???????? , ???????????? ? ?????? ????? (5) ????? ???????? ?? ???????????? ?? ?????? ??????????? ???????? ?/??? ?????????. Ð?"??????? ? ?????? ?????????? ????????, ??????? ????? ?????????????? (?????????????) ?????????? ??????????. ????????? ???????? (5) ????? ?????????????? ? ????? ? ?? ? ??? ?? , ??? ??? ? ?? ????????? ? ???? ???????????? ??????? (??????), ????????? ???????????? ???????? ? ??? ??????? ? ?? ? ?? ? ?? ??? . ??? ????????,}\tabcellsep \multicolumn{3}{l}{??????????? ????? ?????????. ??? ?? ?? ? : ????????? ???????????? ?????, ?????????????? ????? ?????,}\tabcellsep G ( ) Volume XIX Issue IV Version I\\
\multicolumn{2}{l}{??????? ?????? ? ???????? ?????????? ?????, ??????? ??? ? ?????????? ? ? ? D, ? ? ?????? ??????? ??????????? ? ?? ???????????? ? ?????????? ??????????????/??????????? ? ?? D ? ? ?? D , ??? ????????? ????? ????????. ? ????? ?????? ??????????? ????? ???????? ? ?? ? ? ? . ????????, ??? ??? ?????????? ?? ????????????? ? ? ???? ????? ??????????. ????????? ???????? ???????, ?? ?????? ?????? ??????????? ? ???? ?????? ??????? ???????? ???????. ? -?????????????? ????????? ?? ?? ?? ? ? : ?????????????? ?????????, ???????? ???????????/ ?????????? ????????. ??????????? ?????? ???????? ? ?????? X ? ??????? ?????????, ??????? ??? F , ?? ??? ???????????? ????????? X1 , X2 , ? , Xn ????? ???????????? ????????? ???????? ???? ? ??? ?? ?????: U;D ? V;C ???????????? ????? ???????? (????????) ? ??????? (?????????) ?? ???????? ? ???????????? ??????, ????????? ??? ???}\tabcellsep \multicolumn{3}{l}{1) ???????. ??? ????? ????? ???? ?????? ?????? ??? ?????????? ? ??????? ?????????? ???????????????? (???????????????) ?????, ??? ?????????? ??? ??? ?????????? ??????? ?????????. ? ????????? ?????? ??????? ? ??? ??? ??????? ???????. 2) ????????? ?? ???????? ???????????? ??????????????? ?????. ?? ? ?????? ??????? ?????????? ????????????? ????. ??? ?? ?????, ?????????????? ?? ? ??????????????? ???? ???????? ????? ??????? ????????? ???????????? ???????, ? ????? ????? ?????????????? ?????? ????????????? ???????????? ???????? X F(X1,X2,? , Xn) ??? F(X1,X2,?,Xn) ????, ??????????? ??? ?????????????? ?????????. 188 1 ?????????????? ????? ??? ??????????? ?? ?????????? ??? ??? ????????.}\tabcellsep Global Journal of Computer Science and Technology\\
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\multicolumn{2}{l}{aU;DA ? AV;Ca ???????? ? ????????? A ? ????????????? ??????????? -???????????? ????? ?????????? ?????? ?????? a (??? ? ????? ??????? ??????? ????????) ? ????????? ???????? ????????.}\tabcellsep 19) 20)\tabcellsep \multicolumn{2}{l}{"?????? ????? ??????? ?? ??? ??????" http://ru.wikipedia.org/wiki/????????? ????????? (??.-????. ????????) -?????, ???????, ??????????, ???????????}\end{longtable} \par
 
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24) 26) ????? ???????? ????????? ?? ????????????? ???????? Ð?"?????? ? ? ? ?????????? ??????, ???????????? ??????? ?????? ????????????? ????????. Systems verbalization 212 2121 ??? ?????? ?????????? ?? ? ??? : ?????????? ?? ???????? ???? ????????? ??? ????????? ???????: ????? ?????? ????? ???? ??????????? ??????????? ????? ??????????? ????? ?????? ????? ???? ??????? ? ?????? ??? ???????? ???? ?????????? ?? ?????????????: 2122 Ð?"???????? ???????? aError!A ????????? ???????? (???????/????????) a ? ?????????? ??? ???? ????????? (??????/???????) A ? ???????? ???????????? (??????????, ???????????); ???????????? ?? ?? ????? ????? ???????: ???????? ??????? a ?????????? ? ???? ??????????? ?????????? ???????? A| a A ????? ???? "??????" ?????? ??????? a , ? ??? "?????????????" ??????????????? ??? ????????????? ? ???? ???????????? ????????? ????????? A . Ð?"??????????? ????? ???? ?? ???????????, ????? A a , ?? ????????????. ??????????? ???????????? ????? ????????????? ?????????? ??????????? ???????? a . ? ???? ?????? \{U; a\}= ? a ????????? ????????? ? ?????????. 2123 ???????? ???????? a ????? ????? ?? ????????? aU; A ? ?????????? ??? ??? ???????? A . Ð?"?? ??????? ???????????? ?? ?? ????? ????? ???????: Ð?"?? ????????? ???????? (????????) a ?????????? (???)????????? (???????? | [ . , . ?? ???????? ? 2122 ???????? ?????????? ?????????? \{aU; \}= ???????????? ???????? a . ?? ??? ? ?? ? ?? 2122 ? 2123 : ?? ???? ?????? ??????/??????? a , ? ?????? ?????????? ??? ???? ????????? ??????????, ????? ????? ?? ?????? ?????????? U;Da, a, \{a ?\} 2124 ???????? ????? ?????????? ?? ?????? ?????? ??????? ?? ????????? ? ????????????? ???????? ?????? ???? ?????? ??????????? ????? ????? ??????????. ??? ???????, ???????? ????? ???????????????, ?? ?????? ????????? ??? ????? ?????????? ??? ???? ???????????? ????????, ????????? ? 25) 1)|?b0?b1???bn-1 ? (bi?qi) S?. ? ??????? ?????????? S ?????????? ? ???????????, ? ???? ?? 27) ?? ????? ???? ??? ??????? ???????? 2×n 28) ??????????? ?? ????????? ???????? ? ???????? ?????????? 29) «?? ?????? ???????? ?????? ?????? ? ??? ???????? ????????, ???????? ??????» Systems verbalization 2 Systems verbalization ?????????) ??????? (?????????) S ? ????????? ????????????? ?????? (????????): S ?T (S)= (T)  ? \{S\} (\{S\}) ??????????????? ??????? S[??. 2125.2] ? ???? ????????? N -???????, ?? \{N\}=1, \{U;DN\}= (N) ? \{?;:N\}= .3 Ð?"?? ????????????? ?????? 26) ????? ???????????? ????? ????????????? × ? ? , ?????????????? ??????? ????????? ????: × ?????? ??????????? ????????????. ???????? a,b ? a×b ??????????? ? ???????????? ? ?????????? ???????? 186 [???.9] ? ???? ai= aj | i,jU;DN | i?j [??. 2116, ???.11]. ??????? ???????????? ? S ?????????????? ????????????? ?k ????????? (ak U;DM k )?k | k N . ?????????????? ?????????? ???????????? a ??? ????? ?k | k N ???????? ? , ? ?????? c | c [0, n+m[ ×n ??? ?? ???????????. ??????????? ? ??????? ???? B (b0?q0)???(bn-1?qn-?., "????????? ????????????", 1970-1977 ??????????????? ?? . ? ?????????? ??????? [???] ??????? ????????? ????????????, ???.3. -?????????????????? ????????????????. ?????? ? ?????????? ? ????????? S ?? ??????????????. ??? ???????? ?????????????? ? ??????????????? ????????? ?????? ??? ??????? ???????? ??????????????? ? ????????????? ????????? ??????, ? ??????? ??????????????? ????? ???? ?????????. ????? ?????????, ??? ??? ????? ??????????? ??????? ??????????? ?????, ??????? ??????? ???????? ????????? ???????, ????????? ?? ??????????? ??????????, ????? ??????? ????-??????????? ???????????? ( ?-??? ??????? ??????? S, ???? ?? ?????? ????, [????] ??????? ??????? ??????????? ????. -?., Error! source not found..2 ?). ??????? B ????? ???????????????? ??? ??????? ????, 1978 [???.Error! Bookmark not defined.]. 2125 ?????? ??????? (?????????) [?? .1 \{?\} -????????? ?????? ??????? ?? ?????-???? ????????? (?????????), ????????: \{.1 .2 .3\} ???????????? ???? ?????????? ???????? ?????? ? ? ??????? ???????????? ( ?????????). ???????? a , b ?  ?  ?  ? ????? X ? Y ???????? ??????????? ??????????? ? , ????? X×Y ????? ???????? ??????????? ??????????, ???????????? ????? ?????????? ??????????????? ?? N ?????????? ??????? S . ?????????? ??????? bi ? ci bi+i | | i [0, n-1] [??. 2116, ???.11]. ??? ???????? 0 ? c0<c1<? ?<cn-1 ? n+m-2 . ???????? ???????? ??????? ci ? ci -i | c-i=a?i 28) , ?? ???? ????? ????? ?????????????????? ???????????? [???2] ????????????", 1985 ? ????????? ?????? ???????????? ????? ??????? , ????????? ???????: ????? ?????????? ?? S ? ??????????? c0???cn-1 ???????? ???? ????, ???????? ???????? ?????, ???????? ??????, ?? ???????? ???? ???????? ??? ??????? ?????????? ??????????? ? (x1×y1) (x2×y2) ??x1?x2 ? x1 x2? ??? ?x1=x2 ? ????? ?????????????? ??????? [0, n+m-1[ . ??? ??????? ?????????? (?Ð?"): ????? ????????? ??????. ??? ?????? ????????????? (???????????????) ??????. ?????? \{\} ?????? ????????? | ???????, ??????????? ????????????? ??????? (?????????) ?? ????????? ???, ????? ???????? ???????? (????????) ????????????? ?????????? ???????, ?????????????? ? ????? ?| ????????? \} . ??? ??, ??? ? Error! Reference source not found. [???.Error! Bookmark not defined.] ???? ??????? ??????????? ??????????.  ? \{ ?????????? ??????????| ???????? ?????????? ??????????, ????????? ?????, ????? ????????????? ???? ???????? [??. Error! Reference source not found., ???.Error! Bookmark not defined.] ?? ??????????? ? ???? X \{?\} , ?? ????????? ????? ??????????? ?????????? ? ????? ???? ??? ????????? ???? U;DS [??. Error! Reference source not found., ???.Error! Bookmark not defined.] ??? ?;: S [??. 2113, ???. 10], ??? ? ????????. [??.  ?2113, ???.10]  ???????? , ?????????? ?????????? ???????? ??????? ???????????. ? ???? 112 [???.5] ?????? ??????????? ???????? ???????? ???????????. .2 \{S\} ????????? ?????????? ?????????? ??????? ????????(?????????? ????? ????????? ??????? a , ??? ?????????? ??????????????? ? ????????????? ?????? (S) y1 y2?? | xi X, yi Y | i=1,2 ??????? ? X×Y ?????????? [??] ????????? ?????????? ?/??? ?????????, ?? ???????? \{S\} = Error! . ???????? ????????? ??, ??? [?.????????] ?????????? ? ?????????????? ???????, ??????? ??????????????????. ??????????????? \{S\} m-????? ????????????? ?????? S (? ??? ????? ????????, ??????? 0 ?????????? N ??????? ??????????????? ?? ??????????????? ?????? [k, l] | k? l ?? ????????? M ? N ??????? ??????? ??????????: ????? ????? ???????, | k ?????????????? ??????????????? ? ???? ?????) ? ???????????????? \{T\} NB ??. ???? ??????????? ????????????? ? ??????????????? ?????? T, ? ??????? m-????? ??? ??. ????????? ???? ???????? ?????? (? ??? ????? ????) ?????? ??????? ?? ? ??????? ????? ?????: m = 1 2 3 4 ?? ??. ????????? ???????? ? ? ?????????? ??? ?????????? ??????? S \{U;DM k ?k T \{k?U;DM k | M ???????, ???????? ??????????? M k M ?????????? 2)2113 [???.10]. 1) a0???an-1 ???????? M, \{T\} ? M × (N) ;×; ??????? a a0???an-1 ????? ???????? ????????????? ?? Error! ?? m n ??? ? ? ???? ??????? \{a0,?,an-1\}<n . ???????? ????? ???????????????? (??????????????) n, ??????????? ????????, ??????? \{a0,?,an-1\} ?n ?????????? ?????????? ????????? c ????????? ??????????????? ??????, ????????? ?? m ???????? ? ?????????????????, ?? ???? ? S. ?????????. ?? ??????????????? ????? 1. \{T\}=m n ???????? ???????, ?? ?????????? ?????????? i=1 ??????? ??? ???? ?????????: ?????? ???????? M i | M i M ? \{T\}= (M) (N) , m(N) ??????????? ?? ? ??????? ???????? 29) . ??????? ???????????? ????? ?????? ??????????? ????? ? ????????????. ? ?????????? ??????? ??? ????? ??????, ?????????????? ??????? ?? ?????? ?? ?? ??? ?? ?????? ? ?? ??? ????? ?????????????? ???? ?? ????????????. ???, 27) . ???????? ??????, ??? ?????? ?????????? ??? ????? ??????????? ?? ??????? ? ????????????? ??????????? ???????? (??????) (0?a0)???(n-1?an ??????????? ?????????????? ?????????? ?????? ? ?????????? ????????????? ??????? T ????? ?????? ????? ? ?? ??????????. ????????, ?????-???? ???? ????????, ??? ?????????????? ????????? ???????? ?????????? S,T ?????????? ????? ?????? ????????? ?????????????? ??????, ?? ? ???????? ??, ??????????? ????????? ??????? ? k M | k N\} \{T\} = 1 n+1 \{S\} = 1 2 n 3 n ? 4 n Error! Error! ? ?Ð?" ??. ??????? ??????????\tabcellsep 11 ( ) G Global Journal of Computer Science and Technology Volume XIX Issue IV Version I Year 2 019\tabcellsep ?\end{longtable} \par
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\bibitem[???????]{b0}\label{b0} 	 		 			. . ??????? 			\mbox{}\\  				.................................................................... 3 ???????? ........................................................... ??. ???? ????????? ???????? ??, ??? ???????? ????????? ?????? ??????????????? ..... ??. ??????????????? ??????? ????????????? ............. ??. ????????????? ??????? ????? ....................................................................... 5, 17 ????????? ?????????? .............................................. 27 ??????????? ??? ........................ ?? ??? ??????????? ?? ; ............... 15 			 		.  		\textit{?? ?? ? ?? ? ? ?? ?? ? ? ?? ??? ?},  				 	 
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\end{document}
