User:Tom Allen/ta/AddendumX07P01
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... check tensor for lowering indices on tensors (x-coordinates) ...
NB. ... execute (ijx) ...
xCpts=:_ 0.9 2 26,_ 0.1p1 0.9p1 26,_ 0.1p1 1.8p1 26,:_ 0 2p1 26"_
qR0A=:(''([mcvdc xRef@([hkyX07A zfyc"_ 1))]) ((0,50"_)pTRandom xCpts)''
qR0B=:(''(0|:])@([:(''([(0{])@mcv xRef@([hkyX07A zfyc"_ 1)),:@])D.1])"_ 1]) ((0,50"_)pTRandom xCpts)''
qR0A (((2^_25);2^_20)qteq[;])"3 qR0B
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
qR0A=:(''([mcvdcdc xRef@([hkyX07A zfyc"_ 1))]) ((0,50"_)pTRandom xCpts)''
qR0B=:(''(0|:])@([:(''([(0{])@mcvdc xRef@([hkyX07A zfyc"_ 1)),:@])D.1])"_ 1]) ((0,50"_)pTRandom xCpts)''
qR0A (((2^_25);2^_16)qteq[;])"4 qR0B
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
qR0A=:(''([mcvdcdcdc xRef@([hkyX07A zfyc"_ 1))]) ((0,50"_)pTRandom xCpts)''
qR0B=:(''(0|:])@([:(''([(0{])@mcvdcdc xRef@([hkyX07A zfyc"_ 1)),:@])D.1])"_ 1]) ((0,50"_)pTRandom xCpts)''
qR0A (((2^_25);2^_16)qteq[;])"5 qR0B
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
qR0A=:(''([mcvdcdcdcdc xRef@([hkyX07A zfyc"_ 1))]) ((0,50"_)pTRandom xCpts)''
qR0B=:(''(0|:])@([:(''([(0{])@mcvdcdcdc xRef@([hkyX07A zfyc"_ 1)),:@])D.1])"_ 1]) ((0,50"_)pTRandom xCpts)''
qR0A (((2^_23);2^_16)qteq[;])"6 qR0B
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
... check tensor for raising indices on tensors (x-coordinates) ...
NB. ... execute (ijx) ...
xCpts=:_ 0.9 2 26,_ 0.1p1 0.9p1 26,_ 0.1p1 1.8p1 26,:_ 0 2p1 26"_
qR0A=:(''([mcndc xRef@([hkyX07A zfyc"_ 1))]) ((0,50"_)pTRandom xCpts)''
qR0B=:(''(0|:])@([:(''([(0{])@mcn xRef@([hkyX07A zfyc"_ 1)),:@])D.1])"_ 1]) ((0,50"_)pTRandom xCpts)''
qR0A (((2^_25);2^_19)qteq[;])"3 qR0B
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
qR0A=:(''([mcndcdc xRef@([hkyX07A zfyc"_ 1))]) ((0,50"_)pTRandom xCpts)''
qR0B=:(''(0|:])@([:(''([(0{])@mcndc xRef@([hkyX07A zfyc"_ 1)),:@])D.1])"_ 1]) ((0,50"_)pTRandom xCpts)''
qR0A (((2^_22);2^_19)qteq[;])"4 qR0B
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
qR0A=:(''([mcndcdcdc xRef@([hkyX07A zfyc"_ 1))]) ((0,50"_)pTRandom xCpts)''
qR0B=:(''(0|:])@([:(''([(0{])@mcndcdc xRef@([hkyX07A zfyc"_ 1)),:@])D.1])"_ 1]) ((0,50"_)pTRandom xCpts)''
qR0A (((2^_18);2^_18)qteq[;])"5 qR0B
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
... check Christoffel symbols of the second kind (x-coordinates) ...
NB. ... execute (ijx) ...
xCpts=:_ 0.9 2 26,_ 0.1p1 0.9p1 26,_ 0.1p1 1.8p1 26,:_ 0 2p1 26"_
qR0A=:(''([ch2kdc xRef@([hkyX07A zfyc"_ 1))]) ((0,50"_)pTRandom xCpts)''
qR0B=:(''(0|:])@([:(''([(0{])@ch2k xRef@([hkyX07A zfyc"_ 1)),:@])D.1])"_ 1]) ((0,50"_)pTRandom xCpts)''
qR0A (((2^_26);2^_16)qteq[;])"4 qR0B
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
qR0A=:(''([ch2kdcdc xRef@([hkyX07A zfyc"_ 1))]) ((0,50"_)pTRandom xCpts)''
qR0B=:(''(0|:])@([:(''([(0{])@ch2kdc xRef@([hkyX07A zfyc"_ 1)),:@])D.1])"_ 1]) ((0,50"_)pTRandom xCpts)''
qR0A (((2^_23);2^_16)qteq[;])"5 qR0B
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
qR0A=:(''([ch2kdcdcdc xRef@([hkyX07A zfyc"_ 1))]) ((0,50"_)pTRandom xCpts)''
qR0B=:(''(0|:])@([:(''([(0{])@ch2kdcdc xRef@([hkyX07A zfyc"_ 1)),:@])D.1])"_ 1]) ((0,50"_)pTRandom xCpts)''
qR0A (((2^_19);2^_16)qteq[;])"6 qR0B
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1
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