Essays/Tensor Experiments/TensorExperiments15
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NB. ... script experimental.ijs ... B2kt0=: ((0 3 1|:])"4)@(Gamdc ) B2kt1=:-@:((0 1 3|:])"4)@(Gamdc ) B2kt2=: ((0 2 1|:])"4)@(Gam([smx 0|:])"3 Gam) B2kt3=:-@:((0 1 2|:])"4)@(Gam([smx 0|:])"3 Gam) B2k=:B2kt0+B2kt1+B2kt2+B2kt3
NB. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _ "_ gXpAll=: 1.1 1.2 1.3 1.4 1.5"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ vA =:[B2k xRef vB0=:((0|:[)smx])"2 4 vB1=:((0|:[)smx])"2 4 vB2=:((0|:[)smx])"2 4 vB3=:(( [)smx])"2 4 vB =:[(xdy vB3 ydx vB2 ydx vB1 ydx vB0 B2k)yRef (gXT([(vA(((2^_44);2^_25)qteq[;])"4 vB)hkxF)]) ((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 ... B2kdct0=: ((0 3 1 4|:])"5)@(Gamdcdc ) B2kdct1=:-@:((0 1 3 4|:])"5)@(Gamdcdc ) B2kdct2=: ((0 2 1 4|:])"5)@(Gam (( [)smx 0|:])"3 4 Gamdc) B2kdct3=: ((0 3 1 2|:])"5)@(Gamdc((2|:[)smx 0|:])"4 3 Gam ) B2kdct4=:-@:((0 1 2 4|:])"5)@(Gam (( [)smx 0|:])"3 4 Gamdc) B2kdct5=:-@:((0 1 3 2|:])"5)@(Gamdc((2|:[)smx 0|:])"4 3 Gam ) B2kdc=:B2kdct0+B2kdct1+B2kdct2+B2kdct3+B2kdct4+B2kdct5
NB. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _ "_ gXpAll=: 1.1 1.2 1.3 1.4 1.5"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ A=:(gXT([B2kdc xRef@hkxF)]) ((0.2;50"_)pTRandom xCpts)'' B=:(gXT((0|:[:(gXT([(0{])@B2k xRef@hkxF),:@])D.1])"_ 1)]) ((0.2;50"_)pTRandom xCpts)'' A (((2^_44);2^_05)qteq[;])"5 B 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _ "_ gXpAll=: 1.1 1.2 1.3 1.4 1.5"_ yCpts=:__ 0.5 5 8,__ 0.5 5 8,__ 0.5 5 8,:_ 0 20 8"_ A=:(gXT([B2kdc yRef@hkyF)]) ((0;50"_)pTRandom yCpts)'' B=:(gXT((0|:[:(gXT([(0{])@B2k yRef@hkyF),:@])D.1])"_ 1)]) ((0;50"_)pTRandom yCpts)'' A (((2^_44);2^_04)qteq[;])"5 B 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 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 ... B2kcvt0=: B2kdc B2kcvt1=: (( 0|:])"5)@(Gam((0|:[)smx 0|:])"3 4 B2k ) B2kcvt2=:-@:((0 3 4 1|:])"5)@(Gam(( [)smx 1|:])"3 4 B2k ) B2kcvt3=:-@:(( 0 4 1|:])"5)@(Gam(( [)smx 2|:])"3 4 B2k ) B2kcvt4=:-@:(( 0 1|:])"5)@(Gam(( [)smx ])"3 4 B2k ) B2kcv=:B2kcvt0+B2kcvt1+B2kcvt2+B2kcvt3+B2kcvt4
NB. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _ "_ gXpAll=: 1.1 1.2 1.3 1.4 1.5"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ vA =:[B2kcv xRef vB0=:((0|:[)smx])"2 5 vB1=:((0|:[)smx])"2 5 vB2=:((0|:[)smx])"2 5 vB3=:((0|:[)smx])"2 5 vB4=:(( [)smx])"2 5 vB =:[(xdy vB4 ydx vB3 ydx vB2 ydx vB1 ydx vB0 B2kcv)yRef (gXT([(vA(((2^_44);2^_24)qteq[;])"5 vB)hkxF)]) ((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 ... SBk=:(0 1 4|:])"5@(S smx"3 4 B2k) Lam=:(]+(2 3|:])+2|:])"5@B2kcv Xi =:(]+(2 3|:])+2|:])"5@SBk
NB. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _ "_ gXpAll=: 1.1 1.2 1.3 1.4 1.5"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ vA =:[Lam xRef vB0=:((0|:[)smx])"2 5 vB1=:((0|:[)smx])"2 5 vB2=:((0|:[)smx])"2 5 vB3=:((0|:[)smx])"2 5 vB4=:(( [)smx])"2 5 vB =:[(xdy vB4 ydx vB3 ydx vB2 ydx vB1 ydx vB0 Lam)yRef (gXT([(vA(((2^_44);2^_24)qteq[;])"5 vB)hkxF)]) ((0.2;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. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _ "_ gXpAll=: 1.1 1.2 1.3 1.4 1.5"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ vA =:[Xi xRef vB0=:((0|:[)smx])"2 5 vB1=:((0|:[)smx])"2 5 vB2=:((0|:[)smx])"2 5 vB3=:((0|:[)smx])"2 5 vB4=:(( [)smx])"2 5 vB =:[(xdy vB4 ydx vB3 ydx vB2 ydx vB1 ydx vB0 Xi)yRef (gXT([(vA(((2^_44);2^_29)qteq[;])"5 vB)hkxF)]) ((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. ... execute (ijx) ... gXcw =: 1.2 0.3 _ _ _ "_ gXpAll=: 1.1 1.2 1.3 1.4 1.5"_ xCpts=:_ 1 3 26,_ 0 1p1 26,_ 0 2p1 26,:_ 0 20 26"_ NB. ... for Bianchi Identity ... *./^:5"5 (0=]) ((2^_43)qtsz]) (gXT([(Lam+Xi)xRef@hkxF)]) ((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 *./^:5"5 (0=]) ((2^_44)qtsz]) (gXT([(Lam+Xi)yRef@hkxF)]) ((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. ... or ... (gXT([(Lam(((2^_43);2^_22)qteq[;])"5 -@Xi)xRef@hkxF)]) ((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 (gXT([(Lam(((2^_44);2^_25)qteq[;])"5 -@Xi)yRef@hkxF)]) ((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
Download: File:LTE1500C.txt
Download: File:LTE1501C.txt
Download: File:LTE1502C.txt
Download: File:LTE1503C.txt
Download: File:LTE1504C.txt
Download: File:LTE1505C.txt
Download: File:LTE1506C.txt
Download: File:LTE1507C.txt
Download: File:LTE1508C.txt
Download MoinMoin source: File:TensorExperiments15.ijs
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