Математическое моделирование применительно к литейному производству. Черный А.А. - 10 стр.

        1
b0' =     ( y 4m−3 + y 4m−2 + y 4m−1 + y 4m + y 2k +1 ) ;
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         (xmnf ⋅ y 4m−3 + xmng ⋅ y 4m−2 + xmnh ⋅ y 4m−1 + xmnl ⋅ y 4m + xmnp ⋅ y 4k +1 )
bmn =                                                                                       ;
                            x 2 mnf + x 2 mng + x mnh
                                                  2       2
                                                      + x mnl     2
                                                              + x mnp

          (xmrf ⋅ y 4m−3 + xmrg ⋅ y 4m−2 + xmrh ⋅ y 4m−1 + xmrl ⋅ y 4m + xmrp ⋅ y 4k +1 )
bmr =                                                                                       ;
                             x 2 mnf + x 2 mrg + x mrh
                                                   2       2
                                                       + x mrl     2
                                                               + x mrp

         (xmsf ⋅ y 4m−3 + xmsg ⋅ y 4m−2 + xmsh ⋅ y 4m−1 + xmsl ⋅ y 4m + xmsp ⋅ y 4k +1 )
bms =                                                                                           ;
                            x 2 msf + x 2 msg + x msh
                                                  2       2
                                                      + x msl     2
                                                              + x msp
         (xmwf ⋅ y 4m−3 + xmwg ⋅ y 4m−2 + xmwh ⋅ y 4m−1 + xmwl ⋅ y 4m + xmwp ⋅ y 4k +1 )
bmw =                                                                                           ,
                             x 2 mwf + x 2 mwg + x mwh
                                                   2       2
                                                       + x mwl     2
                                                               + x mwp

где
            x mnf = x nmf + v m ;     x mng = x nmg + v m ;       x mnp = x nmp + v m ;
                      n                         n
            x mnh = x mh + vm ;       x mnl = x ml + vm ;
             x mrf = x rmf + a m ⋅ x nmf + c m ;
             x mrg = x rmg + a m ⋅ x nmg + c m ;
                      r           n
             xmrl = x ml + a m ⋅ xml + cm ;
                       r            n
             x mrh = x mh + a m ⋅ x mh + cm ;
              x mrp = x rmp + a m ⋅ x nmp + c m ;
                       s            r           n
             x msf = x mf + d m ⋅ x mf + em ⋅ x mf + fm ;
                       s            r           n
             x msg = x mg + d m ⋅ x mg + em ⋅ x mg + fm ;
                      s            r           n
            x msh = x mh + d m ⋅ x mh + em ⋅ x mh + fm ;
                       s            r           n
             x msl = x ml + d m ⋅ x ml + em ⋅ x ml + fm ;
                   s            r           n
         x msp = x mp + d m ⋅ x mp + em ⋅ x mp + fm ;
                   w            s           r            n
         x mwg = x mg + q m ⋅ x mg + hm ⋅ x mg + k m ⋅ x mg + lm ;
                   w            s           r            n
         x mwf = x mf + q m ⋅ x mf + hm ⋅ x mf + k m ⋅ x mf + lm ;
                   w            s           r            n
         x mwh = x mh + q m ⋅ x mh + hm ⋅ x mh + k m ⋅ x mh + lm ;
                   w            s           r            n
         x mwl = x ml + q m ⋅ x ml + hm ⋅ x ml + k m ⋅ x ml + lm ;
                   w            s           r            n
         x mwp = x mp + q m ⋅ x mp + hm ⋅ x mp + k m ⋅ x mp + lm
         m – порядковый номер фактора; k – количество факторов.