<content> Functions for Create Rank3 and Rank4 Tensors </content>

26327233-e491-4511-87a6-a12c35516c87 6 Oscar Campo 3 3 false false 0 6 decimal

&[DATE] &[TIME] - &[FILENAME]

Rank 3 Tensor :

m 1 el 11111211312112212313113213333 mat :

m 2 el 21121221322122222323123223333 mat :

m 3 el 31131231332132232333133233333 mat :

m 11111211312112212313113213333 mat 21121221322122222323123223333 mat 31131231332132232333133233333 mat 31 mat

notation :

m i el (j k el

m 1 el (11 el 111

m 3 el (12 el 312

Rank 4 Tensor :

x T4 t 14 range u 14 range t4 t u el x 102^* 10 t * + u + : for for t4 21 line :

r 14 range s 14 range n r s el 10 r * s + T4 : for for

n 111111121113111411211122112311241131113211331134114111421143114444 mat 121112121213121412211222122312241231123212331234124112421243124444 mat 131113121313131413211322132313241331133213331334134113421343134444 mat 141114121413141414211422142314241431143214331434144114421443144444 mat 211121122113211421212122212321242131213221332134214121422143214444 mat 221122122213221422212222222322242231223222332234224122422243224444 mat 231123122313231423212322232323242331233223332334234123422343234444 mat 241124122413241424212422242324242431243224332434244124422443244444 mat 311131123113311431213122312331243131313231333134314131423143314444 mat 321132123213321432213222322332243231323232333234324132423243324444 mat 331133123313331433213322332333243331333233333334334133423343334444 mat 341134123413341434213422342334243431343234333434344134423443344444 mat 411141124113411441214122412341244131413241334134414141424143414444 mat 421142124213421442214222422342244231423242334234424142424243424444 mat 431143124313431443214322432343244331433243334334434143424343434444 mat 441144124413441444214422442344244431443244334434444144424443444444 mat 44 mat

notation :

n r s el (t u el

n 21 el (31 el 2131

<content> Functions for Create Rank3 and Rank4 Tensors </content>

v T3 p 33 Zeros v + : P p p p 13 mat transpose : P 31 line :

v T4 p 44 Zeros v + : P p 44 Ones * vectorize : P 31 line :

P 0 T4 : 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 44 mat

M 0 T3 : 00000000033 mat 00000000033 mat 00000000033 mat 31 mat

<content> Functions for Assign Values to elements on a Tensor </content>

v T i j k l assign i max 4 ≤ (j max 4 ≤ (& (k max 4 ≤ (l max 4 ≤ (& (& Tij T i j el : Tij k l el v : T i j el Tij : 31 line index error if :

v T i j k assign i max 3 ≤ (j max 3 ≤ (& (k max 3 ≤ ((& Ti T i el : Ti j k el v : T i el Ti : 31 line index error if :

ε P 1223 range 23 range assign 000000000000000044 mat 00000 ε ε 00 ε ε 0000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 000000000000000044 mat 44 mat

σ₂₃₁ M 231 assign 00000000033 mat 000000 σ₂₃₁ 0033 mat 00000000033 mat 31 mat