Математическое моделирование применительно к литейному производству. Черный А.А. - 26 стр.

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                 N                                                    N
               ∑ x1n ,u ⋅ x2n ,u ⋅ yu                             ∑ x1n ,u ⋅ x3n ,u ⋅ yu
               u =1                                               u =1
 b1n ,2 n =     N
                                                 ; b1n ,3n =       N
                                                                                                        ;
               ∑ ( x1n ,u ⋅ x2n ,u )         2
                                                                  ∑ ( x1n ,u ⋅ x3n ,u )             2

               u =1                                               u =1
                   N                                                             N
                   ∑ x2n,u ⋅ x3n,u ⋅ yu                                      ∑ x1n ,u ⋅ x2n ,u ⋅ x3n ,u ⋅ yu
                 u =1                                                        u =1
 b2n,3n =          N
                                                    ; b1n ,2 n ,3n =          N
                                                                                                                      ;
                   ∑ ( x2n,u ⋅ x3n,u ) 2                                         ∑ ( x1n ,u ⋅ x2n ,u ⋅ x3n ,u )   2

                   u =1                                                          u =1
         N                                                        N
        ∑ x1r ,u ⋅ y u                                        ∑ x2r ,u ⋅ yu
        u =1                                                  u =1
b1r =          N
                                 ;                  b2 r =             N
                                                                                                ;
             ∑ x12r ,u                                                ∑ x22r ,u
             u =1                                                     u =1


          N                                         N
          ∑ x3r ,u ⋅ yu                            ∑ x1n ,u ⋅ x3r ,u ⋅ yu
         u =1                                      u =1
 b3r =          N
                                     ; b1n ,3r =    N
                                                                                            ;
               ∑       x32r ,u                     ∑ ( x1n ,u ⋅ x3r ,u )                2

               u =1                                u =1



                N                                                     N
               ∑ x1n ,u ⋅ x2r ,u ⋅ yu                             ∑ x2n ,u ⋅ x1r ,u ⋅ yu
               u =1                                               u =1
 b1n ,2 r =     N
                                                 ; b2 n ,1r =      N
                                                                                                        ;
               ∑ ( x1n ,u ⋅ x2r ,u )        2
                                                                  ∑ ( x2n ,u ⋅ x1r ,u )             2

               u =1                                               u =1




                   N                                                  N
               ∑ x2n ,u ⋅ x3r ,u ⋅ yu                             ∑ x3n ,u ⋅ x1r ,u ⋅ yu
               u =1                                               u =1
 b2 n ,3r =     N
                                                 ; b3n ,1r =       N
                                                                                                        ;
               ∑ ( x2n ,u ⋅ x3r ,u )2                                 ∑ ( x3n ,u ⋅ x1r ,u )2
               u =1                                                   u =1
               N                                                             N
               ∑ x3n ,u ⋅ x2r ,u ⋅ yu                                      ∑ x1n ,u ⋅ x2n ,u ⋅ x3r ,u ⋅ yu
               u =1                                                        u =1
 b3n ,2 r =     N
                                                 ; b1n ,2 n ,3r =           N
                                                                                                                  ;
               ∑ ( x3n ,u ⋅ x2r ,u )         2
                                                                           ∑ ( x1n ,u ⋅ x2n ,u ⋅ x3r ,u )   2

               u =1                                                        u =1
                  N
                   ∑ x1n ,u ⋅ x3n ,u ⋅ x2r ,u ⋅ yu
                   u =1
b1n ,3n ,2 r =      N
                                                              ;
                    ∑ ( x1n ,u ⋅ x3n ,u ⋅ x2r ,u )        2

                    u =1