User:Tom Allen/TensorExperimentsR07

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NB. ... script experimentalR.ijs ...

gXR=:gXRAll


NB. ... script experimentalR.ijs ...

gXRa00=:(<0 0){[
gXRa01=:(<0 1){[
gXRa02=:(<0 2){[
gXRa03=:(<0 3){[
gXRa04=:(<0 4){[
gXRa05=:(<0 5){[
gXRa06=:(<0 6){[
gXRa07=:(<0 7){[
gXRa08=:(<0 8){[
gXRa09=:(<0 9){[

gXRa00XX=:gXRa00;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
gXRa01XX=:gXRa01;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
gXRa02XX=:gXRa02;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
gXRa03XX=:gXRa03;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
gXRa04XX=:gXRa04;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
gXRa05XX=:gXRa05;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
gXRa06XX=:gXRa06;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
gXRa07XX=:gXRa07;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
gXRa08XX=:gXRa08;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:
gXRa09XX=:gXRa09;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:

gXR400XX=:0;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);_"_
gXR500XX=:0;((1$4:)$0:);((2$4:)$0:);((3$4:)$0:);((4$4:)$0:);(5$4:)$0:


NB. ... execute (ijx) ...

   gXRAll=:,:@(0 1 2 3 4 5 6 7 8 9"_)
   
   (gXR(gXRa00,gXRa01,gXRa02,gXRa03,gXRa04,gXRa05,gXRa06,gXRa07,gXRa08,gXRa09)])''
0 1 2 3 4 5 6 7 8 9


NB. ... script experimentalR.ijs ...

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:


GTER0700D.jpg


NB. ... script experimentalR.ijs ...

rfaV00=:gXRa01*cx0*sin@cx1

rfaV00XX=:[cfMP5 gXRa01XX,:[cfMP5 cx0XX,:[cfFN5(sin@cx1;cos@cx1;-@sin@cx1;-@cos@cx1;sin@cx1;cos@cx1),:cx1XX


GTER0701C.jpg


NB. ... script experimentalR.ijs ...

rfaV01=:rfaV00^gXRa03

rfaV00U0=:                                                           rfaV00^gXRa03
rfaV00U1=:                                                    gXRa03*rfaV00^gXRa03+_1:
rfaV00U2=:                                       (gXRa03+_1:)*gXRa03*rfaV00^gXRa03+_2:
rfaV00U3=:                          (gXRa03+_2:)*(gXRa03+_1:)*gXRa03*rfaV00^gXRa03+_3:
rfaV00U4=:             (gXRa03+_3:)*(gXRa03+_2:)*(gXRa03+_1:)*gXRa03*rfaV00^gXRa03+_4:
rfaV00U5=:(gXRa03+_4:)*(gXRa03+_3:)*(gXRa03+_2:)*(gXRa03+_1:)*gXRa03*rfaV00^gXRa03+_5:

rfaV01XX=:[cfFN5(rfaV00U0;rfaV00U1;rfaV00U2;rfaV00U3;rfaV00U4;rfaV00U5),:rfaV00XX


GTER0702C.jpg


NB. ... script experimentalR.ijs ...

rfaV02=:1-^@-@rfaV01

rfaV02XX=:[cfFN5((1+-@^@-@rfaV01);^@-@rfaV01;-@^@-@rfaV01;^@-@rfaV01;-@^@-@rfaV01;^@-@rfaV01),:rfaV01XX


GTER0703C.jpg


NB. ... script experimentalR.ijs ...

rfaV03=:rfaV00^gXRa02

rfaV00xU0=:                                                           rfaV00^gXRa02
rfaV00xU1=:                                                    gXRa02*rfaV00^gXRa02+_1:
rfaV00xU2=:                                       (gXRa02+_1:)*gXRa02*rfaV00^gXRa02+_2:
rfaV00xU3=:                          (gXRa02+_2:)*(gXRa02+_1:)*gXRa02*rfaV00^gXRa02+_3:
rfaV00xU4=:             (gXRa02+_3:)*(gXRa02+_2:)*(gXRa02+_1:)*gXRa02*rfaV00^gXRa02+_4:
rfaV00xU5=:(gXRa02+_4:)*(gXRa02+_3:)*(gXRa02+_2:)*(gXRa02+_1:)*gXRa02*rfaV00^gXRa02+_5:

rfaV03XX=:[cfFN5(rfaV00xU0;rfaV00xU1;rfaV00xU2;rfaV00xU3;rfaV00xU4;rfaV00xU5),:rfaV00XX


GTER0704C.jpg


NB. ... script experimentalR.ijs ...

rfaV04=:rfaV03^_1:

rfaV03U0=:               rfaV03^_1:
rfaV03U1=:            _1*rfaV03^_2:
rfaV03U2=:         _2*_1*rfaV03^_3:
rfaV03U3=:      _3*_2*_1*rfaV03^_4:
rfaV03U4=:   _4*_3*_2*_1*rfaV03^_5:
rfaV03U5=:_5*_4*_3*_2*_1*rfaV03^_6:

rfaV04XX=:[cfFN5(rfaV03U0;rfaV03U1;rfaV03U2;rfaV03U3;rfaV03U4;rfaV03U5),:rfaV03XX


GTER0705D.jpg


NB. ... script experimentalR.ijs ...

rfaV05=:rfaV02*rfaV04

rfaV05XX=:[cfMP5 rfaV02XX,:rfaV04XX


NB. ... execute (ijx) ...

   gXRAll=:,:@(0 1 2 9 0 0 0 0 0 0"_)
   
   xCpts=:_ 0.7 1.3 26,_ 0.4p1 0.6p1 26,_ 0 2p1 26,:_ 0 20 26"_

   (gXR((rfaV05-:cfXX0@rfaV05XX)"_ 1)])                                                     ((0;50"_)pTRandom xCpts)''
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
   
   (gXR(cfXX1@rfaV05XX"_ 1(((2^_44);2^_17)qteq[;])"1(0|:[:(gXR cfXX0@rfaV05XX])D.1])"_ 1)]) ((0;50"_)pTRandom xCpts)''
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
   
   (gXR(cfXX2@rfaV05XX"_ 1(((2^_44);2^_15)qteq[;])"2(0|:[:(gXR cfXX1@rfaV05XX])D.1])"_ 1)]) ((0;50"_)pTRandom xCpts)''
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
   
   (gXR(cfXX3@rfaV05XX"_ 1(((2^_44);2^_14)qteq[;])"3(0|:[:(gXR cfXX2@rfaV05XX])D.1])"_ 1)]) ((0;50"_)pTRandom xCpts)''
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
   
   (gXR(cfXX4@rfaV05XX"_ 1(((2^_44);2^_14)qteq[;])"4(0|:[:(gXR cfXX3@rfaV05XX])D.1])"_ 1)]) ((0;50"_)pTRandom xCpts)''
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
   
   (gXR(cfXX5@rfaV05XX"_ 1(((2^_44);2^_10)qteq[;])"5(0|:[:(gXR cfXX4@rfaV05XX])D.1])"_ 1)]) ((0;50"_)pTRandom xCpts)''
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1


load 'plot'

gXRAll=:,:@(0 1 2 9 0 0 0 0 0 0"_)

xCpts=:_ 1e_16 2.5 1000,_ 0.5p1 0.5p1 0,_ 0 0 0,:_ 0 0 0"_

pd (gXR({.@(0|:]);      cfXX0@rfaV05XX"_ 1)]) pTtotal xCpts''
pd (gXR({.@(0|:]);(0{])@cfXX1@rfaV05XX"_ 1)]) pTtotal xCpts''    NB. ... 1st derivative ...

NB. ... overwrite ...

pd (];>@(0{])@rffm9XX"0) pTsteps _ 1e_16 2.5 1000
pd (];>@(1{])@rffm9XX"0) pTsteps _ 1e_16 2.5 1000                NB. ... 1st derivative ...

pd 'pdf'
pd 'show'


JTER0700C.jpg


load 'plot'

gXRAll=:,:@(0 1 2 9 0 0 0 0 0 0"_)

xCpts=:_ 0.7 2 1000,_ 0.5p1 0.5p1 0,_ 0 0 0,:_ 0 0 0"_

pd (gXR({.@(0|:]);{.@(0|:])^_2:     )]) pTtotal xCpts''

pd (gXR({.@(0|:]);cfXX0@rfaV05XX"_ 1)]) pTtotal xCpts''

pd 'pdf'
pd 'show'


JTER0701C.jpg



Download: File:LTER0700D.txt
Download: File:LTER0701C.txt
Download: File:LTER0702C.txt
Download: File:LTER0703C.txt
Download: File:LTER0704C.txt
Download: File:LTER0705D.txt