User:Tom Allen/ta/AddendumX06P02
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... the contractions of the tensor R ...
NB. ... execute (ijx) ... pU0=:,:@(1.5 1.1 2 8 1 1 2 2 0.5"_) xCpts=:_ 0.7 1.3 51,_ 0.4p1 0.6p1 51,_ 0 2p1 51,:_ 0 2p1 51"_ NB. ... the divergence of space and time in a gravitational field ... NB. ... '+' ... ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:]) @:(+/"1)@((<1 2)|:])@(*/)"2 3 +/"1@((<0 3)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)'' _16.135 132.839 0.803023 5.1239 NB. ... '-' ... ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:]) @:(+/"1)@((<1 2)|:])@(*/)"2 3 +/"1@((<0 2)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)'' 16.135 _132.839 _0.803023 _5.1239 NB. ... contractions of R which are not used ... ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 2)|:]) @:(+/"1)@((<1 2)|:])@(*/)"2 3 +/"1@((<0 1)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)'' _14.9749 _0.0971335 0.239952 0.209698 ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<1 2)|:])@(0 2|:])@:(+/"1)@((<1 3)|:])@(*/)"2 3 +/"1@((<0 1)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)'' 14.9749 0.0971335 _0.239952 _0.209698 ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:]) @:(+/"1)@((<1 2)|:])@(*/)"2 3 +/"1@((<0 1)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)'' 0 0 0 0 ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:])@(0 2|:])@:(+/"1)@((<1 3)|:])@(*/)"2 3 +/"1@((<0 1)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)'' 0 0 0 0 ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:])@(0 2|:])@:(+/"1)@((<1 3)|:])@(*/)"2 3 +/"1@((<0 3)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)'' _16.135 132.839 0.803023 5.1239 ((2^_44)qtsz]) (pU0([(mcn +/"1@((<1 2)|:])@(*/)"2 1 mcn +/"1@((<0 1)|:])@(0 2|:])@:(+/"1)@((<1 3)|:])@(*/)"2 3 +/"1@((<0 2)|:])"5@R)yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)'' 16.135 _132.839 _0.803023 _5.1239
... the gravitational field ...
NB. ... execute (ijx) ... NB. ... for this model (AddendumT03Z05) ... pU0=:,:@(1.5 1.1 2 8 1 1 2 2 0.5"_) xCpts=:_ 0.7 1.3 51,_ 0.4p1 0.6p1 51,_ 0 2p1 51,:_ 0 2p1 51"_ NB. ... the verb E1cn (contravariant) has been used for the divergence of space and time ... ((2^_44)qtsz]) (pU0([E1cn yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)'' _16.135 132.839 0.803023 5.1239 NB. ... the verb E1cv (covariant) could be a possible alternative ... NB. ... (this has the effect of changing the sign of the divergence of time) ... ((2^_44)qtsz]) (pU0([E1cv yRef@hkyX06B)]) ((0;1"_)zfyc"1@pTRandom xCpts)'' _16.135 132.839 0.803023 _5.1239
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