User:Tom Allen/ta/AddendumA00P00

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... a supplement for 5th order partial derivatives ...


NB. ... script experimentalA00.txt ...

cfALdcdcdcdcdc=:>@((<0 5){])

cfAFdRdRdRdRdR=:>@((<0 5){])

cfARdcdcdcdcdc=:>@((<1 5){])


... a supplement to AddendumT00E01 for 5th order partial derivatives ...


GA00P0000D.png


NB. ... script experimentalA00.txt ...

cfFNdcdcdcdcdct000=:(         ])@(cfAFdR        *cfARdcdcdcdcdc                                            )
cfFNdcdcdcdcdct001=:(      0|:])@(cfAFdRdR      *cfARdc        */cfARdcdcdcdc                              )
cfFNdcdcdcdcdct010=:(    0 4|:])@(cfAFdRdR      *cfARdc        */cfARdcdcdcdc                              )
cfFNdcdcdcdcdct011=:(    0 1|:])@(cfAFdRdR      *cfARdcdc      */cfARdcdcdc                                )
cfFNdcdcdcdcdct012=:(    1 0|:])@(cfAFdRdRdR    *cfARdc        */cfARdc      */cfARdcdcdc                  )
cfFNdcdcdcdcdct100=:(  0 3 4|:])@(cfAFdRdR      *cfARdc        */cfARdcdcdcdc                              )
cfFNdcdcdcdcdct101=:(  0 4 1|:])@(cfAFdRdR      *cfARdcdc      */cfARdcdcdc                                )
cfFNdcdcdcdcdct102=:(  1 4 0|:])@(cfAFdRdRdR    *cfARdc        */cfARdc      */cfARdcdcdc                  )
cfFNdcdcdcdcdct110=:(  0 1 4|:])@(cfAFdRdR      *cfARdcdc      */cfARdcdcdc                                )
cfFNdcdcdcdcdct111=:(  0 1 2|:])@(cfAFdRdR      *cfARdcdcdc    */cfARdcdc                                  )
cfFNdcdcdcdcdct112=:(  1 2 0|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdc    */cfARdcdc                    )
cfFNdcdcdcdcdct120=:(  1 0 4|:])@(cfAFdRdRdR    *cfARdc        */cfARdc      */cfARdcdcdc                  )
cfFNdcdcdcdcdct121=:(  1 0 2|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdc    */cfARdcdc                    )
cfFNdcdcdcdcdct122=:(  2 0 1|:])@(cfAFdRdRdR    *cfARdcdc      */cfARdc      */cfARdcdc                    )
cfFNdcdcdcdcdct123=:(  2 1 0|:])@(cfAFdRdRdRdR  *cfARdc        */cfARdc      */cfARdc    */cfARdcdc        )
cfFNdcdcdcdcdct200=:(0 2 3 4|:])@(cfAFdRdR      *cfARdc        */cfARdcdcdcdc                              )
cfFNdcdcdcdcdct201=:(0 3 4 1|:])@(cfAFdRdR      *cfARdcdc      */cfARdcdcdc                                )
cfFNdcdcdcdcdct202=:(1 3 4 0|:])@(cfAFdRdRdR    *cfARdc        */cfARdc      */cfARdcdcdc                  )
cfFNdcdcdcdcdct210=:(0 3 1 4|:])@(cfAFdRdR      *cfARdcdc      */cfARdcdcdc                                )
cfFNdcdcdcdcdct211=:(0 4 1 2|:])@(cfAFdRdR      *cfARdcdcdc    */cfARdcdc                                  )
cfFNdcdcdcdcdct212=:(1 4 2 0|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdc    */cfARdcdc                    )
cfFNdcdcdcdcdct220=:(1 3 0 4|:])@(cfAFdRdRdR    *cfARdc        */cfARdc      */cfARdcdcdc                  )
cfFNdcdcdcdcdct221=:(1 4 0 2|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdc    */cfARdcdc                    )
cfFNdcdcdcdcdct222=:(2 4 0 1|:])@(cfAFdRdRdR    *cfARdcdc      */cfARdc      */cfARdcdc                    )
cfFNdcdcdcdcdct223=:(2 4 1 0|:])@(cfAFdRdRdRdR  *cfARdc        */cfARdc      */cfARdc    */cfARdcdc        )
cfFNdcdcdcdcdct300=:(0 1 3 4|:])@(cfAFdRdR      *cfARdcdc      */cfARdcdcdc                                )
cfFNdcdcdcdcdct301=:(0 1 4 2|:])@(cfAFdRdR      *cfARdcdcdc    */cfARdcdc                                  )
cfFNdcdcdcdcdct302=:(1 2 4 0|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdc    */cfARdcdc                    )
cfFNdcdcdcdcdct310=:(0 1 2 4|:])@(cfAFdRdR      *cfARdcdcdc    */cfARdcdc                                  )
cfFNdcdcdcdcdct311=:(0 1 2 3|:])@(cfAFdRdR      *cfARdcdcdcdc  */cfARdc                                    )
cfFNdcdcdcdcdct312=:(1 2 3 0|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdcdc  */cfARdc                      )
cfFNdcdcdcdcdct320=:(1 2 0 4|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdc    */cfARdcdc                    )
cfFNdcdcdcdcdct321=:(1 2 0 3|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdcdc  */cfARdc                      )
cfFNdcdcdcdcdct322=:(2 3 0 1|:])@(cfAFdRdRdR    *cfARdcdc      */cfARdcdc    */cfARdc                      )
cfFNdcdcdcdcdct323=:(2 3 1 0|:])@(cfAFdRdRdRdR  *cfARdc        */cfARdc      */cfARdcdc  */cfARdc          )
cfFNdcdcdcdcdct400=:(1 0 3 4|:])@(cfAFdRdRdR    *cfARdc        */cfARdc      */cfARdcdcdc                  )
cfFNdcdcdcdcdct401=:(1 0 4 2|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdc    */cfARdcdc                    )
cfFNdcdcdcdcdct402=:(2 0 4 1|:])@(cfAFdRdRdR    *cfARdcdc      */cfARdc      */cfARdcdc                    )
cfFNdcdcdcdcdct403=:(2 1 4 0|:])@(cfAFdRdRdRdR  *cfARdc        */cfARdc      */cfARdc    */cfARdcdc        )
cfFNdcdcdcdcdct410=:(1 0 2 4|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdc    */cfARdcdc                    )
cfFNdcdcdcdcdct411=:(1 0 2 3|:])@(cfAFdRdRdR    *cfARdc        */cfARdcdcdc  */cfARdc                      )
cfFNdcdcdcdcdct412=:(2 0 3 1|:])@(cfAFdRdRdR    *cfARdcdc      */cfARdcdc    */cfARdc                      )
cfFNdcdcdcdcdct413=:(2 1 3 0|:])@(cfAFdRdRdRdR  *cfARdc        */cfARdc      */cfARdcdc  */cfARdc          )
cfFNdcdcdcdcdct420=:(2 0 1 4|:])@(cfAFdRdRdR    *cfARdcdc      */cfARdc      */cfARdcdc                    )
cfFNdcdcdcdcdct421=:(2 0 1 3|:])@(cfAFdRdRdR    *cfARdcdc      */cfARdcdc    */cfARdc                      )
cfFNdcdcdcdcdct422=:(3 0 1 2|:])@(cfAFdRdRdR    *cfARdcdcdc    */cfARdc      */cfARdc                      )
cfFNdcdcdcdcdct423=:(3 1 2 0|:])@(cfAFdRdRdRdR  *cfARdc        */cfARdcdc    */cfARdc    */cfARdc          )
cfFNdcdcdcdcdct430=:(2 1 0 4|:])@(cfAFdRdRdRdR  *cfARdc        */cfARdc      */cfARdc    */cfARdcdc        )
cfFNdcdcdcdcdct431=:(2 1 0 3|:])@(cfAFdRdRdRdR  *cfARdc        */cfARdc      */cfARdcdc  */cfARdc          )
cfFNdcdcdcdcdct432=:(3 1 0 2|:])@(cfAFdRdRdRdR  *cfARdc        */cfARdcdc    */cfARdc    */cfARdc          )
cfFNdcdcdcdcdct433=:(3 2 0 1|:])@(cfAFdRdRdRdR  *cfARdcdc      */cfARdc      */cfARdc    */cfARdc          )
cfFNdcdcdcdcdct434=:(3 2 1 0|:])@(cfAFdRdRdRdRdR*cfARdc        */cfARdc      */cfARdc    */cfARdc  */cfARdc)

cfFNdcdcdcdcdct00=:cfFNdcdcdcdcdct000+cfFNdcdcdcdcdct001
cfFNdcdcdcdcdct01=:cfFNdcdcdcdcdct010+cfFNdcdcdcdcdct011+cfFNdcdcdcdcdct012
cfFNdcdcdcdcdct10=:cfFNdcdcdcdcdct100+cfFNdcdcdcdcdct101+cfFNdcdcdcdcdct102
cfFNdcdcdcdcdct11=:cfFNdcdcdcdcdct110+cfFNdcdcdcdcdct111+cfFNdcdcdcdcdct112
cfFNdcdcdcdcdct12=:cfFNdcdcdcdcdct120+cfFNdcdcdcdcdct121+cfFNdcdcdcdcdct122+cfFNdcdcdcdcdct123
cfFNdcdcdcdcdct20=:cfFNdcdcdcdcdct200+cfFNdcdcdcdcdct201+cfFNdcdcdcdcdct202
cfFNdcdcdcdcdct21=:cfFNdcdcdcdcdct210+cfFNdcdcdcdcdct211+cfFNdcdcdcdcdct212
cfFNdcdcdcdcdct22=:cfFNdcdcdcdcdct220+cfFNdcdcdcdcdct221+cfFNdcdcdcdcdct222+cfFNdcdcdcdcdct223
cfFNdcdcdcdcdct30=:cfFNdcdcdcdcdct300+cfFNdcdcdcdcdct301+cfFNdcdcdcdcdct302
cfFNdcdcdcdcdct31=:cfFNdcdcdcdcdct310+cfFNdcdcdcdcdct311+cfFNdcdcdcdcdct312
cfFNdcdcdcdcdct32=:cfFNdcdcdcdcdct320+cfFNdcdcdcdcdct321+cfFNdcdcdcdcdct322+cfFNdcdcdcdcdct323
cfFNdcdcdcdcdct40=:cfFNdcdcdcdcdct400+cfFNdcdcdcdcdct401+cfFNdcdcdcdcdct402+cfFNdcdcdcdcdct403
cfFNdcdcdcdcdct41=:cfFNdcdcdcdcdct410+cfFNdcdcdcdcdct411+cfFNdcdcdcdcdct412+cfFNdcdcdcdcdct413
cfFNdcdcdcdcdct42=:cfFNdcdcdcdcdct420+cfFNdcdcdcdcdct421+cfFNdcdcdcdcdct422+cfFNdcdcdcdcdct423
cfFNdcdcdcdcdct43=:cfFNdcdcdcdcdct430+cfFNdcdcdcdcdct431+cfFNdcdcdcdcdct432+cfFNdcdcdcdcdct433+cfFNdcdcdcdcdct434

cfFNdcdcdcdcdct0=:cfFNdcdcdcdcdct00+cfFNdcdcdcdcdct01
cfFNdcdcdcdcdct1=:cfFNdcdcdcdcdct10+cfFNdcdcdcdcdct11+cfFNdcdcdcdcdct12
cfFNdcdcdcdcdct2=:cfFNdcdcdcdcdct20+cfFNdcdcdcdcdct21+cfFNdcdcdcdcdct22
cfFNdcdcdcdcdct3=:cfFNdcdcdcdcdct30+cfFNdcdcdcdcdct31+cfFNdcdcdcdcdct32
cfFNdcdcdcdcdct4=:cfFNdcdcdcdcdct40+cfFNdcdcdcdcdct41+cfFNdcdcdcdcdct42+cfFNdcdcdcdcdct43

cfFNdcdcdcdcdc=:cfFNdcdcdcdcdct0+cfFNdcdcdcdcdct1+cfFNdcdcdcdcdct2+cfFNdcdcdcdcdct3+cfFNdcdcdcdcdct4

cfFN5=:cfFN;cfFNdc;cfFNdcdc;cfFNdcdcdc;cfFNdcdcdcdc;cfFNdcdcdcdcdc


... a supplement to AddendumT00E02 for 5th order partial derivatives ...


GA00P0001C.png


NB. ... script experimentalA00.txt ...

cfMPdcdcdcdcdct000=:(         ])@(cfAL          */cfARdcdcdcdcdc)
cfMPdcdcdcdcdct001=:(      0|:])@(cfALdc        */cfARdcdcdcdc  )
cfMPdcdcdcdcdct002=:(    0 4|:])@(cfALdc        */cfARdcdcdcdc  )
cfMPdcdcdcdcdct003=:(    0 1|:])@(cfALdcdc      */cfARdcdcdc    )
cfMPdcdcdcdcdct010=:(  0 3 4|:])@(cfALdc        */cfARdcdcdcdc  )
cfMPdcdcdcdcdct011=:(  0 4 1|:])@(cfALdcdc      */cfARdcdcdc    )
cfMPdcdcdcdcdct012=:(  0 1 4|:])@(cfALdcdc      */cfARdcdcdc    )
cfMPdcdcdcdcdct013=:(  0 1 2|:])@(cfALdcdcdc    */cfARdcdc      )
cfMPdcdcdcdcdct020=:(0 2 3 4|:])@(cfALdc        */cfARdcdcdcdc  )
cfMPdcdcdcdcdct021=:(0 3 4 1|:])@(cfALdcdc      */cfARdcdcdc    )
cfMPdcdcdcdcdct022=:(0 3 1 4|:])@(cfALdcdc      */cfARdcdcdc    )
cfMPdcdcdcdcdct023=:(0 4 1 2|:])@(cfALdcdcdc    */cfARdcdc      )
cfMPdcdcdcdcdct030=:(0 1 3 4|:])@(cfALdcdc      */cfARdcdcdc    )
cfMPdcdcdcdcdct031=:(0 1 4 2|:])@(cfALdcdcdc    */cfARdcdc      )
cfMPdcdcdcdcdct032=:(0 1 2 4|:])@(cfALdcdcdc    */cfARdcdc      )
cfMPdcdcdcdcdct033=:(0 1 2 3|:])@(cfALdcdcdcdc  */cfARdc        )
cfMPdcdcdcdcdct100=:(         ])@(cfALdc        */cfARdcdcdcdc  )
cfMPdcdcdcdcdct101=:(      1|:])@(cfALdcdc      */cfARdcdcdc    )
cfMPdcdcdcdcdct102=:(    1 4|:])@(cfALdcdc      */cfARdcdcdc    )
cfMPdcdcdcdcdct103=:(    1 2|:])@(cfALdcdcdc    */cfARdcdc      )
cfMPdcdcdcdcdct110=:(  1 3 4|:])@(cfALdcdc      */cfARdcdcdc    )
cfMPdcdcdcdcdct111=:(  1 4 2|:])@(cfALdcdcdc    */cfARdcdc      )
cfMPdcdcdcdcdct112=:(  1 2 4|:])@(cfALdcdcdc    */cfARdcdc      )
cfMPdcdcdcdcdct113=:(  1 2 3|:])@(cfALdcdcdcdc  */cfARdc        )
cfMPdcdcdcdcdct120=:(         ])@(cfALdcdc      */cfARdcdcdc    )
cfMPdcdcdcdcdct121=:(      2|:])@(cfALdcdcdc    */cfARdcdc      )
cfMPdcdcdcdcdct122=:(    2 4|:])@(cfALdcdcdc    */cfARdcdc      )
cfMPdcdcdcdcdct123=:(    2 3|:])@(cfALdcdcdcdc  */cfARdc        )
cfMPdcdcdcdcdct130=:(         ])@(cfALdcdcdc    */cfARdcdc      )
cfMPdcdcdcdcdct131=:(      3|:])@(cfALdcdcdcdc  */cfARdc        )
cfMPdcdcdcdcdct132=:(         ])@(cfALdcdcdcdc  */cfARdc        )
cfMPdcdcdcdcdct133=:(         ])@(cfALdcdcdcdcdc*/cfAR          )

cfMPdcdcdcdcdct00=:cfMPdcdcdcdcdct000+cfMPdcdcdcdcdct001+cfMPdcdcdcdcdct002+cfMPdcdcdcdcdct003
cfMPdcdcdcdcdct01=:cfMPdcdcdcdcdct010+cfMPdcdcdcdcdct011+cfMPdcdcdcdcdct012+cfMPdcdcdcdcdct013
cfMPdcdcdcdcdct02=:cfMPdcdcdcdcdct020+cfMPdcdcdcdcdct021+cfMPdcdcdcdcdct022+cfMPdcdcdcdcdct023
cfMPdcdcdcdcdct03=:cfMPdcdcdcdcdct030+cfMPdcdcdcdcdct031+cfMPdcdcdcdcdct032+cfMPdcdcdcdcdct033
cfMPdcdcdcdcdct10=:cfMPdcdcdcdcdct100+cfMPdcdcdcdcdct101+cfMPdcdcdcdcdct102+cfMPdcdcdcdcdct103
cfMPdcdcdcdcdct11=:cfMPdcdcdcdcdct110+cfMPdcdcdcdcdct111+cfMPdcdcdcdcdct112+cfMPdcdcdcdcdct113
cfMPdcdcdcdcdct12=:cfMPdcdcdcdcdct120+cfMPdcdcdcdcdct121+cfMPdcdcdcdcdct122+cfMPdcdcdcdcdct123
cfMPdcdcdcdcdct13=:cfMPdcdcdcdcdct130+cfMPdcdcdcdcdct131+cfMPdcdcdcdcdct132+cfMPdcdcdcdcdct133

cfMPdcdcdcdcdct0=:cfMPdcdcdcdcdct00+cfMPdcdcdcdcdct01+cfMPdcdcdcdcdct02+cfMPdcdcdcdcdct03
cfMPdcdcdcdcdct1=:cfMPdcdcdcdcdct10+cfMPdcdcdcdcdct11+cfMPdcdcdcdcdct12+cfMPdcdcdcdcdct13

cfMPdcdcdcdcdc=:cfMPdcdcdcdcdct0+cfMPdcdcdcdcdct1

cfMP5=:cfMP;cfMPdc;cfMPdcdc;cfMPdcdcdc;cfMPdcdcdcdc;cfMPdcdcdcdcdc


... for 5th order partial derivatives ...


NB. ... script experimentalA00.txt ...

cx0XX=:cx0;1 0 0 0;((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
cx1XX=:cx1;0 1 0 0;((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
cx2XX=:cx2;0 0 1 0;((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
cx3XX=:cx3;0 0 0 1;((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:

cy0XX=:cy0;1 0 0 0;((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
cy1XX=:cy1;0 1 0 0;((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
cy2XX=:cy2;0 0 1 0;((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
cy3XX=:cy3;0 0 0 1;((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:



Download: File:LA00P0000C.txt
Download: File:LA00P0001C.txt




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