Моделирование применительно к газовым плавильным агрегатам литейного производства. Черный А.А. - 13 стр.

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b , 
                N                                                               N
               ∑ x 2 n ,u ⋅ y u                                               ∑ x 3n , u ⋅ y u
               u =1                                                           u =1
  b 2n =              N
                                             ,                     b 3n =            N
                                                                                                             ,
                     ∑      x 22 n , u                                              ∑      x 32n , u
                     u =1                                                           u =1


                 N                                                              N
                ∑ x 1n ,u ⋅ x 2 n ,u ⋅ y u                                      ∑ x 1n ,u ⋅ x 3n ,u ⋅ y u
                u =1                                                            u =1
b 1n , 2 n =                                                 ,   b 1n ,3n =                                          ,
                 ∑ (x 1n ,u ⋅ x 2 n ,u )                                         ∑ (x 1n ,u ⋅ x 3n ,u )
                   N                                                               N
                                                 2                                                               2

                 u =1                                                            u =1


                 N                                                                      N
                ∑ x 2 n , u ⋅ x 3n , u ⋅ y u                                           ∑ x 1n ,u ⋅ x 2 n ,u ⋅ x 3n ,u ⋅ y u
                u =1                                                                   u =1
b 2 n ,3 n =                                                 ,   b 1n , 2 n ,3n =                                                        ,
                 ∑ (x 2n ,u ⋅ x 3n ,u )                                                  ∑ (x 1n ,u ⋅ x 2 n ,u ⋅ x 3n ,u )
                   N                                                                      N
                                                     2                                                                               2

                 u =1                                                                    u =1


          N                                                                 N
         ∑ x 1r ,u ⋅ y u                                                   ∑ x 2 r ,u ⋅ y u
         u =1                                                             u =1
b 1r =          N
                                         ,                       b 2r =          N
                                                                                                         ,
               ∑      x 12r , u                                                 ∑      x 22 r , u
               u =1                                                             u =1


          N                                                                              N
         ∑ x 3r , u ⋅ y u                                                                ∑ x 1n ,u ⋅ x 2 r ,u ⋅ y u
         u =1                                                                           u =1
b 3r =                                   ,                            b 1n , 2 r =                                           ,
                                                                                           ∑ (x 1n ,u ⋅ x 2 r ,u )
                N                                                                          N
               ∑
                                                                                                                     2
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               u =1                                                                        u =1


                N                                                                             N
               ∑ x 1n ,u ⋅ x 3r ,u ⋅ y u                                                    ∑ x 2 n ,u ⋅ x 1r ,u ⋅ y u
               u =1                                                                         u =1
b 1n ,3r =                                               ,               b 2 n ,1r =                                             ,
                ∑ (x 1n ,u ⋅ x 3r ,u )                                                        ∑ (x 2n ,u ⋅ x 1r ,u )
                  N                                                                            N
                                                 2                                                                       2

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                N                                                                                 N
                ∑ x 2 n , u ⋅ x 3r , u ⋅ y u                                                    ∑ x 3n ,u ⋅ x 1r ,u ⋅ y u
               u =1                                                                            u =1
b 2 n ,3r =       N
                                                         ,                 b 3n ,1r =             N
                                                                                                                                     ,
                 ∑ (x 2 n ,u ⋅ x 3r ,u )                                                          ∑ (x 3n ,u ⋅ x 1r ,u )
                                                 2                                                                           2

                 u =1                                                                             u =1




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