Основы изобретательства и научных исследований. Черный А.А. - 32 стр.

                             x ms =
                                      1 s
                                      N
                                                 s
                                                  (
                                        x ma + x mb     s
                                                    + x mc     s
                                                           + x md     s
                                                                  + x me ;             )
                             x mw =
                                       N
                                        1 w
                                              (        w
                                             x ma + x mb      w
                                                         + x mc        w
                                                                  + x md        w
                                                                           + x me    ; )
                             x m2 n =
                                       1 2n
                                       N
                                              (       2n
                                            x ma + x mb      2n
                                                         + x mc       2n
                                                                  + x md       2n
                                                                          + x me   ;)
                             x m2 r =
                                       1 2r
                                       N
                                              (       2r
                                            x ma + x mb      2r
                                                         + x mc       2r
                                                                  + x md       2r
                                                                          + x me   ;)
                             x m2 s =
                                       1 2s
                                       N
                                              (       2s
                                            x ma + x mb      2s
                                                         + x mc       2s
                                                                  + x md       2s
                                                                          + x me   ;)
                       x mn+ r =
                                     N
                                      (
                                     1 n+ r
                                         x ma + x mbn+ r     n+ r
                                                         + x mc        n+ r
                                                                   + x md        n+r
                                                                             + x me     ;  )
                        x mn+ s =
                                     N
                                      (
                                     1 n+ s
                                         x ma + x mbn+ s     n+ s
                                                         + x mc        n+ s
                                                                   + x md        n+ s
                                                                             + x me    ;   )
                      x mn+ w =
                                    N
                                      (
                                    1 n+ w
                                        x ma + x mb n+ w     n+ w
                                                         + x mc         n+ w
                                                                   + x md         n+ w
                                                                              + x me       ;   )
                         x mr + s =
                                     N
                                          (
                                      1 r +s
                                          x ma + x mbr+s     r +s
                                                         + x mc        r+s
                                                                   + x md        r+s
                                                                            + x me     ;   )
                      x mr + w =
                                    N
                                      (
                                     1 r+w
                                         x ma + x mbr+w      r+w
                                                         + x mc         r+w
                                                                   + x md         r+w
                                                                             + x me       ;    )
                      x ms + w =
                                    N
                                      (
                                     1 s+w
                                         x ma + x mbs+w      s+w
                                                         + x mc         s+w
                                                                   + x md         s+w
                                                                             + x me      ;     )
                              xm =
                                       1
                                       N
                                              (
                                           x ma + x mb + x mc + x md + x me ;      )
      Ортогональность матрицы планирования (см.табл.1) обеспечивается
в том случае, если
xmna + xmnb + x mne + xmnd + xmnc = 0 ,
x mra + x mrb + x mre + x mrd + x mrc = 0 ,
xmsa + xmsb + xmse + xmsd + xmsc = 0 ,
x mwa + x mwb + x mwe + x mwd + x mwc = 0 ,
x mna ⋅ x mra + x mnb ⋅ x mrb + x mnc ⋅ x mrc + x mnd ⋅ x mrd + x mne ⋅ x mre = 0 .
xmna ⋅ xmsa + x mnb ⋅ x msb + x mnc ⋅ x msc + xmnd ⋅ x msd + x mne ⋅ xmse = 0 .
x mna ⋅ x mwa + x mnb ⋅ x mwb + x mnc ⋅ x mwc + x mnd ⋅ x mwd + x mne ⋅ x mwe = 0 .




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