## 405 Reputation

5 years, 79 days
i would also not like to ask, but if not ask, what should i do?

## @Joe Riel  i mean self modifying m...

i mean self modifying maple code application

and need a database to record the change

it write maple code itself

## @Kitonum  Not use procedure  ...

Not use procedure

and run directly , it can show animation now

## @Kitonum do not know why i run in m...

do not know why i run in maple 2015 , no result.

## @Kitonum  i run your code in maple...

i run your code in maple 12 and maple 2015 , no graph and animation was shown.

## @Kitonum assume rotation matrix is&...

assume rotation matrix is (Matrix([[cos(t),sin(t)],[sin(t),cos(t)]])

how to animate a particle rotate around another particle?

how to plot the track of x and y coordinate with the change of t from -Pi to Pi?

would like to draw this track in 2D diagram but there are 3 variable?

how to set an initial point for x and y and then change t to see how x and y change in 2D coordinate?

## @vv  i understand now, by the way...

i understand now,

by the way,

do you know how to predict a future matrix

belong to which one of 3 matrix?

actually eigenvector has very small difference in

Decimal value , can linear regression help to predict the exact eigenvector values?

i find book mention magnetron , neucleon these words, but I use Time series only to find Pauli equation. Is it the end after find Pauli equation ?

how to use Pauli equation for Time series?

## @asa12  i succeed to do and comple...

i succeed to do and completed today

## @Kitonum  @Kitonum    ...

with(LinearAlgebra):
A := Matrix(2, 2, {(1, 1) = (1/6)*sqrt(3)+(1/2)*I, (1, 2) = (1/6)*sqrt(3)-(1/2)*I, (2, 1) = (1/6)*sqrt(3)-(1/2)*I, (2, 2) = (1/6)*sqrt(3)+(1/2)*I}):
with(MTM):
factor(Re(A));
A3 := Matrix([[0,0],[0,0]]):
for i from 1 to 2 do
for j from 1 to 2 do
A3[i,j] := Im(A[i,j]);
od:
od:
counterd := 0:
for i from 1 to 2 do
for j from 1 to 2 do
if A2[i,j] mod ((1/6)*sqrt(3)) = True then
counterd := counterd + 1:
end if:
od:
od:
counterd;
if counterd = 4 then
for i from 1 to 2 do
for j from 1 to 2 do
A2[i,j] := A2[i,j]/((1/6)*sqrt(3)):
od:
od:
end if:
A2;
A2 := Matrix([[0,0],[0,0]]):
for i from 1 to 2 do
for j from 1 to 2 do
A2[i,j] := Im(A[i,j]);
od:
od:
counterd := 0:
for i from 1 to 2 do
for j from 1 to 2 do
if A2[i,j] mod (1/2) = True then
counterd := counterd + 1:
end if:
od:
od:
counterd;
if counterd = 4 then
for i from 1 to 2 do
for j from 1 to 2 do
A2[i,j] := A2[i,j]/(1/2):
od:
od:
end if:
Error, invalid input: modp received 1/2, which is not valid for its 2nd argument, m;

i do it in another method
mod has error in maple 12

how to mod in maple 12 for fraction ?

## @Kitonum  moreover , is it possibl...

moreover , is it possible sqrt(3)/6 and 1/2 combine into one term and the rest is one matrix result?

## @Kitonum A := Matrix(2, 2, {(1, 1) ...

Your doing is correct.

A := Matrix(2, 2, {(1, 1) = (1/6)*sqrt(3)+(1/2)*I, (1, 2) = (1/6)*sqrt(3)-(1/2)*I, (2, 1) = (1/6)*sqrt(3)-(1/2)*I, (2, 2) = (1/6)*sqrt(3)+(1/2)*I}):
A1:=(sqrt(3)/6)%*(Matrix(2,(i,j)->Re(A[i,j]))/(sqrt(3)/6))%+((1/2)%*(Matrix(2,(i,j)->A[i,j]-Re(A[i,j]))/(1/2)));

Error, (in rtable/Product) invalid arguments
in maple 12

how to run in maple 12?

## @ThU i mean apply on this example m...

your doing is not factorize, or collect

i mean apply on this example matrix

Matrix(2, 2, {(1, 1) = (1/6)*sqrt(3)+(1/2)*I, (1, 2) = (1/6)*sqrt(3)-(1/2)*I, (2, 1) = (1/6)*sqrt(3)-(1/2)*I, (2, 2) = (1/6)*sqrt(3)+(1/2)*I})

expect a general method.

and the expected output is like

Matrix([[1,-I],[-I,1]])

though this is wrong matrix for above example

actually i am finding like pauli matrix

hope to extract (1/6)*sqrt(3),  (1/2) out of matrix and leave matrix like

Matrix([[1,-I],[-I,1]]), one or zero or imaginary 1

## @vv  i have already finished ...

i have already finished

and would like to delete this question

but it do not allow to delete question as there are reply

what should I do ?

## @vv in previous post, there is defi...

in previous post, there is definition

i searched that there are extra 7 possible matrices

need further research whether these 7 matrices are useful or not.

## @Joe Riel  i change to use printf ...

i change to use printf to print matrix

## @vv  in fact, I find extra 7 matri...

in fact, I find extra 7 matrix, possible are new hope besides 1 i has known from observation.

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