   
 


 -             .     ,  ,    .           .     :  ,  , ERP    ,        ,                        1,  ,  ,  , ,   ,  .





 

   



 

         ,    .            . ,        ,         .         4.0   .        ,      .          ,          .         ,      .              .       ,       .  ,    ,        .     ,         .  ,    ,        .      ,       .       ,      .            ,          ,        ,         .         ,      ,         .    Axenix    2024 .        ,   .1.      ,    ,     ,      .        ,    (ML)   .    RPA (Robotic Process Automation),    -    .          .








. 1.        

    RPA   ,             .          .    ,             ,      .              2030 .    :

1.           ,   .       ,       ,   ,        ;

2.           ,   -,          .          ,        . 3.         ,    ,       ,            .

4.        ,        .

5.            .

       -,  .             -,  1.

 1       





    -



1.      

-        ,           .



2.  

-      -    ;

-      .



3.     -

-       ;

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4.   

-      ;

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 ;

-     .



  ,    4.0,    ,         .                   .          ,      .           .  ,         ,           ,  ,              .    ,    ,                  .                    .           ,    2.

 2     








  ,    4.0,    ,         .                   .          ,      .           .  ,         ,           ,  ,              .    ,    ,                  .                    .

       (https://www.sap.com/central-asia-caucasus/resources/smart-manufacturing-in-the-cloud)     .   :

1.  : IoT,   4.0 (https://www.sap.com/central-asia-caucasus/products/scm/industry-4-0/what-is-industry-4-0.html),  ,            .      ,   (https://www.sap.com/central-asia-caucasus/products/scm/apm/what-is-predictive-maintenance.html)   .

2.    .           ,  ,       .

3. .     ,           ,          .

4.  .        ,       (https://www.sap.com/central-asia-caucasus/resources/supply-chain-optimization),    .

5.   :       ,      ,      .

6.  :  ,   5.0 (https://www.sap.com/central-asia-caucasus/resources/industry-5-0),        .    ,      .

7.   (3D-): 3D-      ,       .

              ,  ,       .        .         ,    OPC UA,    ,        .  ,   ,       ( ,    .),         .           IoT-  - ,   :

- ,            OPC UA   ;

- ,        ,      .

         -   ,     ERP-  MES- .  ,            T- ,   :

-  ;

-MES-, ERP-;

-        (Microsoft Azzure, MySQL  .).

         ,    .                (https://www.cnews.ru/book/%D0%90%D0%A1%D0%A3_%D0%A2%D0%9F_-_%D0%90%D0%B2%D1%82%D0%BE%D0%BC%D0%B0%D1%82%D0%B8%D0%B7%D0%B8%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D0%BD%D0%B0%D1%8F_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D1%83%D0%BF%D1%80%D0%B0%D0%B2%D0%BB%D0%B5%D0%BD%D0%B8%D1%8F_%D1%82%D0%B5%D1%85%D0%BD%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8%D0%BC_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81%D1%81%D0%BE%D0%BC_-_%D0%90%D0%B2%D1%82%D0%BE%D0%BC%D0%B0%D1%82%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%8F_%D1%82%D0%B5%D1%85%D0%BD%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%B8%D1%85_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81%D1%81%D0%BE%D0%B2_-_%D0%90%D0%A1%D0%A2%D0%A3_-_%D0%B0%D0%B2%D1%82%D0%BE%D0%BC%D0%B0%D1%82%D0%B8%D0%B7%D0%B8%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D0%BD%D0%B0%D1%8F_%D1%81%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D0%B0_%D1%82%D0%B5%D1%85%D0%BD%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%BE%D0%B3%D0%BE_%D1%82%D0%B5%D0%BB%D0%B5%D0%BC%D0%B5%D1%85%D0%B0%D0%BD%D0%B8%D1%87%D0%B5%D1%81%D0%BA%D0%BE%D0%B3%D0%BE_%D1%83%D0%BF%D1%80%D0%B0%D0%B2%D0%BB%D0%B5%D0%BD%D0%B8%D1%8F).           ,               (,    ,      ).

    (https://www.cnews.ru/book/%D0%90%D0%B2%D1%82%D0%BE%D0%BC%D0%B0%D1%82%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%8F_%D0%BF%D1%80%D0%BE%D1%86%D0%B5%D1%81%D1%81%D0%BE%D0%B2_-_Process_automation_-_%D0%A1%D0%B8%D1%81%D1%82%D0%B5%D0%BC%D1%8B_%D0%B8_%D1%81%D1%80%D0%B5%D0%B4%D1%81%D1%82%D0%B2%D0%B0_%D0%B0%D0%B2%D1%82%D0%BE%D0%BC%D0%B0%D1%82%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D0%B8_-_Systems_and_automation_tools)  ,        .      , ,      ,      ,          ,     ,   ,     .

               .  ,     ,               (https://www.cnews.ru/book/%D0%9E%D1%86%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%BA%D0%B0_-_Digitization).          -.

            (https://www.cnews.ru/book/%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%B0%D1%8F_%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%86%D0%B8%D1%8F_-_Digital_Transformation_-_Digital_IQ_-_%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%8F_-_%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%BE%D0%B5_%D0%BF%D1%80%D0%B5%D0%B4%D0%BF%D1%80%D0%B8%D1%8F%D1%82%D0%B8%D0%B5_-_%D0%94%D0%B8%D0%B4%D0%B6%D0%B8%D1%82%D0%B0%D0%BB%D0%B8%D0%B7%D0%B0%D1%86%D0%B8%D1%8F_-_%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D1%8B%D0%B5_%D1%82%D0%B5%D1%85%D0%BD%D0%BE%D0%BB%D0%BE%D0%B3%D0%B8%D0%B8_%D0%B2_%D0%B1%D0%B8%D0%B7%D0%BD%D0%B5%D1%81%D0%B5_-_%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%BE%D0%B5_%D0%BF%D1%80%D0%BE%D1%81%D1%82%D1%80%D0%B0%D0%BD%D1%81%D1%82%D0%B2%D0%BE_-_%D0%A6%D0%B8%D1%84%D1%80%D0%BE%D0%B2%D0%B0%D1%8F_%D0%B7%D1%80%D0%B5%D0%BB%D0%BE%D1%81%D1%82%D1%8C) .                ( ).           .

        ,      .  -           ,    .   ,         ,      -,   .

 1.   

  ()      (https://translated.turbopages.org/proxy_u/en-ru.ru.99adba87-67c54744-d9d7368e-74722d776562/https/en.wikipedia.org/wiki/Computer)  ,      (https://translated.turbopages.org/proxy_u/en-ru.ru.99adba87-67c54744-d9d7368e-74722d776562/https/en.wikipedia.org/wiki/Human_intelligence),   , ,  ,    .   ,            .        ,     .

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     ,    .  ,          ,    . -    "  ,    ",   1943 .,       .

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      .

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     ,    ,  ,    (NLP)   .       ,              .  ,   ,              .

   (NLP)       ,     ,     .  ,   ,          .

           . 1.1.            .            ,        ,      ,  .








.1.1.       

        , , ,    ,     .     , . .   ,   .     ,    . ,        ,   ,    .      ,      .

          .              .  , ,           .           ,   IBM Watson.

 2.  

  -  ,    .         ,          

     ,    .          .   ,         .         ,       .  ,      ,     ,      .

    (https://ru.wikipedia.org/wiki/%D0%9F%D1%80%D0%BE%D0%B3%D1%80%D0%B0%D0%BC%D0%BC%D0%B8%D1%80%D0%BE%D0%B2%D0%B0%D0%BD%D0%B8%D0%B5)     ,   (https://ru.wikipedia.org/wiki/%D0%9C%D0%B0%D1%88%D0%B8%D0%BD%D0%BD%D0%BE%D0%B5_%D0%BE%D0%B1%D1%83%D1%87%D0%B5%D0%BD%D0%B8%D0%B5).            (https://ru.wikipedia.org/wiki/%D0%90%D0%BB%D0%B3%D0%BE%D1%80%D0%B8%D1%82%D0%BC).         .              ,     (https://ru.wikipedia.org/wiki/%D0%9E%D0%B1%D0%BE%D0%B1%D1%89%D0%B5%D0%BD%D0%B8%D0%B5).  ,             ,     ,    / ,   .

 :

1. .     ,        .

2. .   ,      .

3..        .

 -      ,   ,    .    ,       .

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.2.1.   



 , . 2.2,     ,   I   ,  H   ,   w  .

  ,         ,     .     1  0.  w1=0.4  w2 = 0.7    1  : 1*0.4+0*0.7=0.4.

,      ,     ,       (   ). ,      ,    .  ,     ,      .   ,     ,     ,     .








.2.2.   



      .  ,  ,   ,        .

       .2.3.








. 2.3.     



  ,      ,   - ,     .        .    x1       w1.    x1w1.    n- .       xnwn.

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x1w1+x2w2+?+xnwn=?i=1nxiwi

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   :

?i=15i=1+2+3+4+5

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P=p1+p2+?+pi+?+pn

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P=?i=1npi

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net=?i=1nxiwi

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net=?i=14xiwi=5+0+0+1=6

   ,     ? ,   -       .     .       ,    ,    ,     .

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 ,            ,     ,  1.

       , .2.4.

      .       .   ,      : 0  1.        ,    1.   .










.2.4.   

,     .       ,   .         ,     .           :

out(net)={0,net<b1,net?b

     .   (out)     (net)  :  net ( )  -  (b),  out ( )  0.   net     b,  out  1.

2.  .        ,           .        ,        .      ,      .

        , .2.5.

     .  ,        S,       .

     :

out(net)=11+exp(?a?net)

 a- ,     .  . 6.6       a.

   , ,     .         .      (1),   (0).       .      .           ,       0  1.     ,      1 (      ).  ,    ,       0. ,     0.8.  ,   ,     - .        0.2,   ,     .











.2.5.   ( )



    :

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 -              .

3.  .             .          (,  -1  1),       .    :

out(net)=tanh(neta)

   a       .      , .2.6.









.2.6  



     ,     .

4.     ,    .      (xor)    4  ,      4  : 0xor0=0, 0xor1=1, 1xor0=1,1xor1=0.

5..   ,    ,       .  ,     ,   .

6..         0   ,  .   ,      ,  .    ,       ,   , 4   4 .

7.    ,       .         .    , ,  -   .     ,       : Mean Squared Error ( MSE), Root MSE  Arctan.   -   ,    ,      ,      .   ,      .  Arctan, ,  ,  ,      :   ,   .  Root MSE   , ,  ,  MSE,      .

1.MSE








2.Root MSE








3.Arctan








      .   ,   ,    , . ,    ,       ,        .

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1.   .             .    ,      .      , .2.7.








.2.7.   



      : , ,    .     ,       .

2.   .         .     ,    .           ,        , .2.8.              .








.2.8.   



 ,      ,      ().            .          .

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3.     ,          .      .           : ,   .

4.   .           , .2.9.








. 2.9.    



  ,                .            .  ,   -         ,      (      ).

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1.   .       .      .    , ,    .      ,    . ,             .

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 3.  

      ,          .        ,  ,  ,  ,  ,        .    ,            .

3.1.   

                   :

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   ,            , .3.1.








.3.1.        .

3.1.1.   (  )

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         ,    :

1.      ,           . ,      K-      ,   K      .      ,    ..

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3.1.3.   

.    (  )    ,       ,         .      ,            , . 3.2. 




.3.2.   



     ,    ,    .

       .  ,                  .         ,     .                     .   ,              .

 ,         .    ,      ,     ,       (  ,     ,        ).   ,              .

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,             ,        .               (  ).

3.1.4.   

  , (RL)     ,      ,     .     :

-       ;

-      ,     ;

-  ,     ,     ;

-     ;

-   ,        (    );

-     ,         .

RL   ,             . ,    .  ,       ,    .   ,  ,        .             . RL   ,       .

       :

1.    (MDP)      .   ,    ,    . MDP     ,     ,   ,    ,  ,     .  MDP ,                .

2. ,         .           , ,   ,    .

3.    ,          .              ,   .

   RL   .     .        .           .           . ,      ,      .           .

    .    ,            .   ,   Q-,   ,  -    .              .       RL      (TRPO).

        .

1. RL   . RL        ,      ,     .      () .             .          .             .        .  ,           .

2.RL  . RL      , ,    ,       ,         .         .         ,       ,         .

.    ,       . ,  ,             . -         .         ,    .  ,       ,    ,    ,     .          ,    ,   .

        ,    RL    .  ,   ,         ,           ,    .          , )  .

            .3.3.

       , ,         (  ) ,  ,    ,     , .3.3 .








. 3.3.    



  , . 3.3 ,          ?,   , . 3.3 ,        ,    ?.   ,  ,  ,         ,    ()    .

   .    (RL)   ,    

1.  .      (https://blog.skillfactory.ru/glossary/machine-learning/)  ,        RL    .       ,     .

2.  .  RL     (https://blog.skillfactory.ru/kak-rabotaet-nejronnaya-set-razbiraemsya-s-osnovami/),     .     .      ,             .

3.   .          ,        .      ,     .

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5.   . RL-               .        .

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7.    .   RL        ,    ,        .        ,         ,       . ,          .  RL          .      RL        ,    .

8. .    ,     .  RL    ,        . ,        ,        .           .

             

      .

1.      (https://blog.skillfactory.ru/neyrosety-v-poiskovikah/)    .  RL   ,     ,       ,    . ,      YouTube.

2. . RL        .              .  -       .             .

3.  .   RL       ,       .  Tesla  RL      .       ,         .

4.  . RL       .            . ,  DeepMind   AlphaGo,    RL      .

 4.  

        .    ,          .      ,     ,            .

   ,          ,    .    ,     ,         .       ,        ,          .       ,       .

 ,  ,      ,             .               .           0  1.       ,     ,   ,    ,   .

              .      ,            .        ,   ,  ,     .

 ,        ,         .                      .

         ,         (     ).                  (  ).                        ,     .

      ,         .

      :     .

        .            .

,       (h1  h2, .4.1,    h1     h2.








.4.1.       

         .       ,  ReLU (  ) (https://translated.turbopages.org/proxy_u/en-ru.ru.07add3e1-67aa21d3-f61c40f4-74722d776562/https/www.geeksforgeeks.org/relu-activation-function-in-deep-learning/),    ,   ,     .   ,       . ,          ,   ,   softmax (https://translated.turbopages.org/proxy_u/en-ru.ru.07add3e1-67aa21d3-f61c40f4-74722d776562/https/www.geeksforgeeks.org/the-role-of-softmax-in-neural-networks-detailed-explanation-and-applications/),         .

    (     )         .          (MSE),  : MSE= (PredictedOutput?Actual Output)2MSE= ( ? )2

     ,  ,      .   ,       ,      .      , ,       .                .

 -    ,  ,      ,  ,    (https://translated.turbopages.org/proxy_u/en-ru.ru.07add3e1-67aa21d3-f61c40f4-74722d776562/https/www.geeksforgeeks.org/feedforward-neural-network/).

      ,         (https://translated.turbopages.org/proxy_u/en-ru.ru.07add3e1-67aa21d3-f61c40f4-74722d776562/https/www.geeksforgeeks.org/ml-stochastic-gradient-descent-sgd/).   ,     calculus,               .

              ,             ( ).        .    ,        ,      .    .   ,      .          .4.2.








. 4.2.      

          :

1.     ,

2.       ;      ,

3.      .

4.         (      ).

5.       ,

6.        2-5,           ,   .

                     ,   ,     .

           :

-     (https://ru.ruwiki.ru/wiki/%D0%9E%D0%B1%D1%83%D1%87%D0%B5%D0%BD%D0%B8%D0%B5_%D0%B1%D0%B5%D0%B7_%D1%83%D1%87%D0%B8%D1%82%D0%B5%D0%BB%D1%8F),  ,    (https://ru.ruwiki.ru/wiki/%D0%93%D0%BB%D1%83%D0%B1%D0%BE%D0%BA%D0%B0%D1%8F_%D1%81%D0%B5%D1%82%D1%8C_%D0%B4%D0%BE%D0%B2%D0%B5%D1%80%D0%B8%D1%8F), -  (https://ru.ruwiki.ru/wiki/%D0%93%D0%B5%D0%BD%D0%B5%D1%80%D0%B0%D1%82%D0%B8%D0%B2%D0%BD%D0%BE-%D1%81%D0%BE%D1%81%D1%82%D1%8F%D0%B7%D0%B0%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D1%81%D0%B5%D1%82%D1%8C),

-     (https://ru.ruwiki.ru/wiki/%D0%9E%D0%B1%D1%83%D1%87%D0%B5%D0%BD%D0%B8%D0%B5_%D1%81_%D1%83%D1%87%D0%B8%D1%82%D0%B5%D0%BB%D0%B5%D0%BC),      (https://ru.ruwiki.ru/wiki/%D0%A1%D0%B2%D1%91%D1%80%D1%82%D0%BE%D1%87%D0%BD%D0%B0%D1%8F_%D0%BD%D0%B5%D0%B9%D1%80%D0%BE%D0%BD%D0%BD%D0%B0%D1%8F_%D1%81%D0%B5%D1%82%D1%8C),         (https://ru.ruwiki.ru/wiki/%D0%A0%D0%B0%D1%81%D0%BF%D0%BE%D0%B7%D0%BD%D0%B0%D0%B2%D0%B0%D0%BD%D0%B8%D0%B5_%D0%BE%D0%B1%D1%80%D0%B0%D0%B7%D0%BE%D0%B2),

-  ,      ,

-  ,         

4.2.   

   (Deep Belief Network, DBN)        .   DBN    .   , DBN  ,       . DBN        (RBM)  .

      ,       .   ,      (RBM)   ,      .

1. ,   .  RBM  DBN   ,   .  RBM     v     h    :








 ai  bj   ,  wij     .

2.  .    RBM   :








 Z -  ,  ,            .

3.     . RBM     ,    (CD).          wij,    ai, bj,        .

 DBN  RBM   .    RBM     .               ,    ,             

RBM     ,      ,    ,     . RBM    DBN      ,      .    DBN   RBM.

        , .4.3,         ,  ,  ,    ,  ,      ()   ,  .

    ,   ,  . ,      .   ,  ,        ,      .        .








. 4.3.  



   -        ,     ,           ,      .

DBN     ,   , .    DBN        ,       ,        .    DBN     ,        ,     ,        .

DBN     :     .            .      RBM,        .         ,       .

    DBN      ,     .      ,    ,        ,       .       ,       .

DBN   ,    .             .

   ,         .

      DBN.      ,    .

           .            .

    (DBNs).      (DBN)    numpy (https://translated.turbopages.org/proxy_u/en-ru.ru.3f5f75e1-67b4b689-ba9a5bbe-74722d776562/https/www.geeksforgeeks.org/numpy-tutorial/), pandas (https://translated.turbopages.org/proxy_u/en-ru.ru.3f5f75e1-67b4b689-ba9a5bbe-74722d776562/https/www.geeksforgeeks.org/pandas-tutorial/)  scikit- (https://translated.turbopages.org/proxy_u/en-ru.ru.3f5f75e1-67b4b689-ba9a5bbe-74722d776562/https/www.geeksforgeeks.org/how-to-install-scikit-learn-in-windows/) !pip install numpy pandas scikit-learn.

        (DBN)   Python (https://translated.turbopages.org/proxy_u/en-ru.ru.3f5f75e1-67b4b689-ba9a5bbe-74722d776562/https/www.geeksforgeeks.org/python-programming-language/).   :

1. .    Python    (numpy, pandas),    (scikit-learn)    (tensorflow).

2.  :   MNIST,        28x28 ,    fetch_openml  scikit-learn.          .

3. .           train_test_split.      StandardScaler   ,        .

4. RBM.           . RBM -    ,         .

5. .        .  - ,       .

6. DBN. RBM       .     RBM (  )     ( ).

7.. ,  DBN,       (X_train_scaled). RBM  ,         .

8..,   DBN    .   (dbn_score)      ,    .

  DBN  ,             .  RBM    ,              .

4.3. -  (https://ru.wikipedia.org/wiki/%D0%93%D0%B5%D0%BD%D0%B5%D1%80%D0%B0%D1%82%D0%B8%D0%B2%D0%BD%D0%BE-%D1%81%D0%BE%D1%81%D1%82%D1%8F%D0%B7%D0%B0%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D1%81%D0%B5%D1%82%D1%8C)

-  (https://ru.wikipedia.org/wiki/%D0%93%D0%B5%D0%BD%D0%B5%D1%80%D0%B0%D1%82%D0%B8%D0%B2%D0%BD%D0%BE-%D1%81%D0%BE%D1%81%D1%82%D1%8F%D0%B7%D0%B0%D1%82%D0%B5%D0%BB%D1%8C%D0%BD%D0%B0%D1%8F_%D1%81%D0%B5%D1%82%D1%8C) (GAN)     ,     . GAN     ,      ,         (    ).

GAN     :   .       ,        .

    ,    ,    .     ,     ,        .    ,     ,     .

         ,          (CNN). ,         ,   .

    ,      ,      .      ,       ,  .       ,   ,  ,    .

     .    ,    ,    .           ,     .       ,   ,    ,    .

     .

1..      .   ,               .

2. .       .     , ,      ,    .

3. .     ,   ,  .   ,    ,    .

4. .         .     ,      .     ,      ,       .

        ,    ()   .

     .        .     : ,     ,      .        ,          ,       .




  .


   .

   ,     (https://www.litres.ru/pages/biblio_book/?art=73990211)  .

      Visa, MasterCard, Maestro,    ,   ,     ,  PayPal, WebMoney, ., QIWI ,       .


