Прогнозирование свойств материалов по математическим моделям. Черный А.А - 31 стр.

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31
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         N                                                  N
         ∑ x1r ,u ⋅ yu                                     ∑ x2 r ,u ⋅ yu
         u =1                                              u =1
b1r =           N
                               ;                b2 r =            N
                                                                                       ;
              ∑      x12r ,u                                     ∑      x22r ,u
              u =1                                              u =1



                N                                                  N
              ∑ x1n ,u ⋅ x2 r ,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
                ∑ x1r ,u ⋅ x2r ,u ⋅ yu                     ∑ x1s ,u ⋅ yu
                u =1                                    u =1
b1r ,2 r =       N
                                            ; b1s =             N
                                                                                   ;
                ∑ ( x1r ,u ⋅ x2r ,u )   2
                                                               ∑       x12s ,u
                u =1                                           u =1



          N                                      N
         ∑ x2 s ,u ⋅ yu                          ∑ x1n,u ⋅ x2s,u ⋅ yu
         u =1                                   u =1
b2 s =          N
                               ; b1n, 2 s =       N
                                                                                           ;
              ∑      x22s ,u                     ∑ ( x1n,u ⋅ x2s,u )               2
              u =1                               u =1

                N                                            N
              ∑ x2n ,u ⋅ x1s ,u ⋅ yu                        ∑ x1r ,u ⋅ x2 s ,u ⋅ yu
              u =1                                          u =1
b2 n ,1s =     N
                                            ; b1r ,2 s =     N
                                                                                                   ;
                ∑ ( x2n ,u ⋅ x1s ,u )   2
                                                            ∑ ( x1r ,u ⋅ x2 s ,u )             2

              u =1                                          u =1


                N                                           N
              ∑ x2r ,u ⋅ x1s ,u ⋅ yu                        ∑ x1s ,u ⋅ x2 s ,u ⋅ yu
              u =1                                         u =1
b2 r ,1s =     N
                                            ; b1s ,2 s =    N
                                                                                                   ;
              ∑ ( x2 r ,u ⋅ x1s ,u )   2
                                                            ∑ ( x1s ,u ⋅ x2 s ,u )             2

              u =1                                          u =1
          N                                                   N
         ∑ x1w,u ⋅ yu                                       ∑ x2 w,u ⋅ yu
         u =1                                               u =1
b1w =           N
                               ;                b2 w =              N
                                                                                           ;
              ∑      x12w ,u                                      ∑      x22w ,u
              u =1                                                u =1




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