User:Tom Allen/ta/AddendumT02Z28

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... see TensorExperiments/TensorExperiments24 (GTE2408D.jpg) ...
... see TensorExperiments/TensorExperiments24 (GTE2409C.jpg) ...
... see TensorExperiments/TensorExperiments24 (GTE2410D.jpg) ...




GTEZ2800C.jpg




... see TensorExperiments/TensorExperiments24 (GTE2409C.jpg) ...




GTEZ2801D.jpg


NB. ... script experimentalZ.ijs ...

NB. ... these verbs are valid only in Cartesian coordinates ...

FEMcvcv    =:+/"1@((<0 1)|:])"4@B2k
FEMcvcvdn  =:+/"1@((<0 1)|:])"5@B2kdc
FEMcvcvdndn=:+/"1@((<0 1)|:])"6@B2kdcdc


NB. ... script experimentalZ.ijs ...

NB. ... these verbs are valid only in Cartesian coordinates ...

NB. ... electric and magnetic fields ...

FEMcvcv01=:((<0 1){])"2@FEMcvcv
FEMcvcv02=:((<0 2){])"2@FEMcvcv
FEMcvcv03=:((<0 3){])"2@FEMcvcv
FEMcvcv10=:((<1 0){])"2@FEMcvcv
FEMcvcv12=:((<1 2){])"2@FEMcvcv
FEMcvcv13=:((<1 3){])"2@FEMcvcv
FEMcvcv20=:((<2 0){])"2@FEMcvcv
FEMcvcv21=:((<2 1){])"2@FEMcvcv
FEMcvcv23=:((<2 3){])"2@FEMcvcv
FEMcvcv30=:((<3 0){])"2@FEMcvcv
FEMcvcv31=:((<3 1){])"2@FEMcvcv
FEMcvcv32=:((<3 2){])"2@FEMcvcv

NB. ... used for Maxwell's equation (2) ...

FEMcvcvdn231=:((<2 3 1){])"3@FEMcvcvdn
FEMcvcvdn312=:((<3 1 2){])"3@FEMcvcvdn
FEMcvcvdn123=:((<1 2 3){])"3@FEMcvcvdn

FEMcvcvdn302=:((<3 0 2){])"3@FEMcvcvdn
FEMcvcvdn023=:((<0 2 3){])"3@FEMcvcvdn
FEMcvcvdn230=:((<2 3 0){])"3@FEMcvcvdn

FEMcvcvdn013=:((<0 1 3){])"3@FEMcvcvdn
FEMcvcvdn130=:((<1 3 0){])"3@FEMcvcvdn
FEMcvcvdn301=:((<3 0 1){])"3@FEMcvcvdn

FEMcvcvdn120=:((<1 2 0){])"3@FEMcvcvdn
FEMcvcvdn201=:((<2 0 1){])"3@FEMcvcvdn
FEMcvcvdn012=:((<0 1 2){])"3@FEMcvcvdn

NB. ... used for Maxwell's equation (1) ...

FEMcvcvdn011=:((<0 1 1){])"3@FEMcvcvdn
FEMcvcvdn022=:((<0 2 2){])"3@FEMcvcvdn
FEMcvcvdn033=:((<0 3 3){])"3@FEMcvcvdn

FEMcvcvdn100=:((<1 0 0){])"3@FEMcvcvdn
FEMcvcvdn122=:((<1 2 2){])"3@FEMcvcvdn
FEMcvcvdn133=:((<1 3 3){])"3@FEMcvcvdn

FEMcvcvdn200=:((<2 0 0){])"3@FEMcvcvdn
FEMcvcvdn211=:((<2 1 1){])"3@FEMcvcvdn
FEMcvcvdn233=:((<2 3 3){])"3@FEMcvcvdn

FEMcvcvdn300=:((<3 0 0){])"3@FEMcvcvdn
FEMcvcvdn311=:((<3 1 1){])"3@FEMcvcvdn
FEMcvcvdn322=:((<3 2 2){])"3@FEMcvcvdn




... see TensorExperiments/TensorExperiments24 (GTE2412E.jpg) ...




GTEZ2802E.jpg


NB. ... script experimentalZ.ijs ...

NB. ... these verbs are valid only in Cartesian coordinates ...

EEMcn0=:FEMcvcv30
EEMcn1=:FEMcvcv31
EEMcn2=:FEMcvcv32

EEMcn=:(0|:])@(EEMcn0,EEMcn1,:EEMcn2)

HEMcn0=:FEMcvcv12
HEMcn1=:FEMcvcv20
HEMcn2=:FEMcvcv01

HEMcn=:(0|:])@(HEMcn0,HEMcn1,:HEMcn2)




... see TensorExperiments/TensorExperiments24 (GTE2412E.jpg) ...




GTEZ2803E.jpg


GTEZ2804D.jpg


NB. ... script experimentalZ.ijs ...

NB. ... these verbs are valid only in Cartesian coordinates ...

PEMcn0=:(EEMcn1*HEMcn2)+-@(EEMcn2*HEMcn1)
PEMcn1=:(EEMcn2*HEMcn0)+-@(EEMcn0*HEMcn2)
PEMcn2=:(EEMcn0*HEMcn1)+-@(EEMcn1*HEMcn0)

PEMcn=:(0|:])@(PEMcn0,PEMcn1,:PEMcn2)




... see TensorExperiments/TensorExperiments24 (GTE2413E.jpg) ...




GTEZ2805F.jpg


NB. ... script experimentalZ.ijs ...

NB. ... these verbs are valid only in Cartesian coordinates ...

JEMcn  =:+/"1@((<1 2)|:])"3@FEMcvcvdn
JEMcndn=:+/"1@((<1 2)|:])"4@FEMcvcvdndn



Download: File:LTEZ2800C.txt
Download: File:LTEZ2801D.txt
Download: File:LTEZ2802E.txt
Download: File:LTEZ2803E.txt
Download: File:LTEZ2804D.txt
Download: File:LTEZ2805F.txt