Essays/Tensor Experiments/TensorExperiments07
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NB. ... script experimental.ijs ... hcv =:(1 0 0 0,0 1 0 0,0 0 1 0,:0,0,0,-@(gXc^2:))"_ 1 hcvdy =:((3$4:)$0:)"_ 1 hcvdydy =:((4$4:)$0:)"_ 1 hcvdydydy =:((5$4:)$0:)"_ 1 hcvdydydydy=:((6$4:)$0:)"_ 1 hcvD4 =:>@((<2 0){]) hcvD4dy =:>@((<2 1){]) hcvD4dydy =:>@((<2 2){]) hcvD4dydydy =:>@((<2 3){]) hcvD4dydydydy=:>@((<2 4){]) hcvXX=:hcv;hcvdy;hcvdydy;hcvdydydy;hcvdydydydy;_"_ hkxC=:[(],[hcvXX ypts)hkxAB hkyC=:[(],[hcvXX ypts)hkyAB
NB. ... script experimental.ijs ... gcv=:ydx([((0|:[)smx])"2((0|:[)smx])"2)hcvD4
NB. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _"_ gXpAll=: 0 0 0 0 0"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ (gXT([(hcvD4(((2^_44);2^_44)qteq[;])"2 xdy([((0|:[)smx])"2((0|:[)smx])"2)gcv)hkxC)]) ((0.1;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
NB. ... script experimental.ijs ... gcvdxt0=:( ])"3@(ydx ((0|:[)smx])"2 3 ydxdx((0|:[)smx])"3 2 hcvD4) gcvdxt1=:(1|:])"3@(ydxdx((0|:[)smx])"3 2 ydx ((0|:[)smx])"2 2 hcvD4) gcvdx=:gcvdxt0+gcvdxt1
NB. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _"_ gXpAll=: 0 0 0 0 0"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ (gXT(([gcvdx hkxC)(((2^_23);2^_20)qteq[;])"3(0|:[:(gXT([(0{])@gcv hkxC),:@])D.1])"_ 1)]) ((0.1;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
NB. ... script experimental.ijs ... gcvdxdxt0=:( ])"4@(ydx ((0|:[)smx])"2 4 ydxdxdx((0|:[)smx])"4 2 hcvD4) gcvdxdxt1=:( 1|:])"4@(ydxdx ((0|:[)smx])"3 3 ydxdx ((0|:[)smx])"3 2 hcvD4) gcvdxdxt2=:(1 3|:])"4@(ydxdx ((0|:[)smx])"3 3 ydxdx ((0|:[)smx])"3 2 hcvD4) gcvdxdxt3=:(1 2|:])"4@(ydxdxdx((0|:[)smx])"4 2 ydx ((0|:[)smx])"2 2 hcvD4) gcvdxdx=:gcvdxdxt0+gcvdxdxt1+gcvdxdxt2+gcvdxdxt3
NB. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _"_ gXpAll=: 0 0 0 0 0"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ (gXT(([gcvdxdx hkxC)(((2^_23);2^_18)qteq[;])"4(0|:[:(gXT([(0{])@gcvdx hkxC),:@])D.1])"_ 1)]) ((0.1;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
NB. ... script experimental.ijs ... gcvdxdxdxt0=:( ])"5@(ydx ((0|:[)smx])"2 5 ydxdxdxdx((0|:[)smx])"5 2 hcvD4) gcvdxdxdxt1=:( 1|:])"5@(ydxdx ((0|:[)smx])"3 4 ydxdxdx ((0|:[)smx])"4 2 hcvD4) gcvdxdxdxt2=:( 1 4|:])"5@(ydxdx ((0|:[)smx])"3 4 ydxdxdx ((0|:[)smx])"4 2 hcvD4) gcvdxdxdxt3=:( 1 2|:])"5@(ydxdxdx ((0|:[)smx])"4 3 ydxdx ((0|:[)smx])"3 2 hcvD4) gcvdxdxdxt4=:(1 3 4|:])"5@(ydxdx ((0|:[)smx])"3 4 ydxdxdx ((0|:[)smx])"4 2 hcvD4) gcvdxdxdxt5=:(1 4 2|:])"5@(ydxdxdx ((0|:[)smx])"4 3 ydxdx ((0|:[)smx])"3 2 hcvD4) gcvdxdxdxt6=:(1 2 4|:])"5@(ydxdxdx ((0|:[)smx])"4 3 ydxdx ((0|:[)smx])"3 2 hcvD4) gcvdxdxdxt7=:(1 2 3|:])"5@(ydxdxdxdx((0|:[)smx])"5 2 ydx ((0|:[)smx])"2 2 hcvD4) gcvdxdxdx=:gcvdxdxdxt0+gcvdxdxdxt1+gcvdxdxdxt2+gcvdxdxdxt3+gcvdxdxdxt4+gcvdxdxdxt5+gcvdxdxdxt6+gcvdxdxdxt7
NB. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _"_ gXpAll=: 0 0 0 0 0"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ (gXT(([gcvdxdxdx hkxC)(((2^_22);2^_18)qteq[;])"5(0|:[:(gXT([(0{])@gcvdxdx hkxC),:@])D.1])"_ 1)]) ((0.1;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
NB. ... script experimental.ijs ... gcvdxdxdxdxt00=:( ])"6@(ydx ((0|:[)smx])"2 6 ydxdxdxdxdx((0|:[)smx])"6 2 hcvD4) gcvdxdxdxdxt01=:( 1|:])"6@(ydxdx ((0|:[)smx])"3 5 ydxdxdxdx ((0|:[)smx])"5 2 hcvD4) gcvdxdxdxdxt02=:( 1 5|:])"6@(ydxdx ((0|:[)smx])"3 5 ydxdxdxdx ((0|:[)smx])"5 2 hcvD4) gcvdxdxdxdxt03=:( 1 2|:])"6@(ydxdxdx ((0|:[)smx])"4 4 ydxdxdx ((0|:[)smx])"4 2 hcvD4) gcvdxdxdxdxt04=:( 1 4 5|:])"6@(ydxdx ((0|:[)smx])"3 5 ydxdxdxdx ((0|:[)smx])"5 2 hcvD4) gcvdxdxdxdxt05=:( 1 5 2|:])"6@(ydxdxdx ((0|:[)smx])"4 4 ydxdxdx ((0|:[)smx])"4 2 hcvD4) gcvdxdxdxdxt06=:( 1 2 5|:])"6@(ydxdxdx ((0|:[)smx])"4 4 ydxdxdx ((0|:[)smx])"4 2 hcvD4) gcvdxdxdxdxt07=:( 1 2 3|:])"6@(ydxdxdxdx ((0|:[)smx])"5 3 ydxdx ((0|:[)smx])"3 2 hcvD4) gcvdxdxdxdxt08=:(1 3 4 5|:])"6@(ydxdx ((0|:[)smx])"3 5 ydxdxdxdx ((0|:[)smx])"5 2 hcvD4) gcvdxdxdxdxt09=:(1 4 5 2|:])"6@(ydxdxdx ((0|:[)smx])"4 4 ydxdxdx ((0|:[)smx])"4 2 hcvD4) gcvdxdxdxdxt10=:(1 4 2 5|:])"6@(ydxdxdx ((0|:[)smx])"4 4 ydxdxdx ((0|:[)smx])"4 2 hcvD4) gcvdxdxdxdxt11=:(1 5 2 3|:])"6@(ydxdxdxdx ((0|:[)smx])"5 3 ydxdx ((0|:[)smx])"3 2 hcvD4) gcvdxdxdxdxt12=:(1 2 4 5|:])"6@(ydxdxdx ((0|:[)smx])"4 4 ydxdxdx ((0|:[)smx])"4 2 hcvD4) gcvdxdxdxdxt13=:(1 2 5 3|:])"6@(ydxdxdxdx ((0|:[)smx])"5 3 ydxdx ((0|:[)smx])"3 2 hcvD4) gcvdxdxdxdxt14=:(1 2 3 5|:])"6@(ydxdxdxdx ((0|:[)smx])"5 3 ydxdx ((0|:[)smx])"3 2 hcvD4) gcvdxdxdxdxt15=:(1 2 3 4|:])"6@(ydxdxdxdxdx((0|:[)smx])"6 2 ydx ((0|:[)smx])"2 2 hcvD4) gcvdxdxdxdxt0=:gcvdxdxdxdxt00+gcvdxdxdxdxt01 gcvdxdxdxdxt1=:gcvdxdxdxdxt02+gcvdxdxdxdxt03 gcvdxdxdxdxt2=:gcvdxdxdxdxt04+gcvdxdxdxdxt05 gcvdxdxdxdxt3=:gcvdxdxdxdxt06+gcvdxdxdxdxt07 gcvdxdxdxdxt4=:gcvdxdxdxdxt08+gcvdxdxdxdxt09 gcvdxdxdxdxt5=:gcvdxdxdxdxt10+gcvdxdxdxdxt11 gcvdxdxdxdxt6=:gcvdxdxdxdxt12+gcvdxdxdxdxt13 gcvdxdxdxdxt7=:gcvdxdxdxdxt14+gcvdxdxdxdxt15 gcvdxdxdxdx=:gcvdxdxdxdxt0+gcvdxdxdxdxt1+gcvdxdxdxdxt2+gcvdxdxdxdxt3+gcvdxdxdxdxt4+gcvdxdxdxdxt5+gcvdxdxdxdxt6+gcvdxdxdxdxt7
NB. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _"_ gXpAll=: 0 0 0 0 0"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ (gXT(([gcvdxdxdxdx hkxC)(((2^_22);2^_18)qteq[;])"6(0|:[:(gXT([(0{])@gcvdxdxdx hkxC),:@])D.1])"_ 1)]) ((0.1;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
NB. ... script experimental.ijs ... gcvXX=:gcv;gcvdx;gcvdxdx;gcvdxdxdx;gcvdxdxdxdx;_"_ hkxD=:[(],gcvXX)hkxC hkyD=:[(],gcvXX)hkyC
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