LeeHoYeung

Mr. Ho Yeung Lee

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12 years, 233 days

Social Networks and Content at Maplesoft.com

Seldom to ask question after retired math hobby Welcome August, February, July, May born girl And waited for her email to mavio@protonmail.com

MaplePrimes Activity


These are questions asked by LeeHoYeung

with(plots):
xy := MatrixMatrixMultiply(Matrix([[cos(t),sin(t)],[sin(t),cos(t)]]),Matrix([[x],[y]]));
animate3d([t, xy[1][1], xy[2][1]], x = 1 .. 10, y = 1 .. 10, t = -Pi .. Pi,coords=spherical);
animate3d([x, xy[1][1], xy[2][1]], x = 1 .. 10, y = 1 .. 10, t = -Pi .. Pi,coords=spherical);
animate3d([t, xy[1][1], xy[2][1]], x = -10 .. 10, y = -10 .. 10, t = -Pi .. Pi,coords=spherical);
 
would like to see how it rotate a ball
 

with(LinearAlgebra):
test1 := Matrix([[1,-1],[-1,1]]);
for i from 1 to 20 do
print(Eigenvectors(test1)[2]);
od:

i run the same command 20 times, but sometimes left has negative 1 , sometimes right has negative 1

why position is like random , is my maple has virus?

the result are not consistent, i am learning quantum computation, will this influence the quantum computation and result?

i am doing up and down and change to a differential equation, Pauli equation

It seems only one Pauli equation

i find 3*3 matrix 

has 3 different kinds of matrix

one is row 1 and row 2

second is row 1 and row 3

Third is row 2 and 3

column 1 is constant 

Is there any one has the same experience to predict these 3 kind of matrix, and know what I mentioned?

 

Matrix([[xx3[1,2],xx3[1,3]],[xx3[2,2],xx3[2,3]]])
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 output be
but these example are wrong
((1/6)*sqrt(3)+(1/2)*I)*Matrix([[1,-I].[-I,1]])
but these example are wrong
MatrixMatrixMultiply(Matrix([[(1/6)*sqrt(3),(1/2)],[(1/6)*sqrt(3),(1/2)]]),Matrix([[1,-I],[1,I]]));
concept like this output

interface(prettyprint=0):
interface(screenwidth=500):
with(LinearAlgebra):

expect 

Matrix([[a1,a2,3],[5,6,7],[9,10,12]])

but

it print datatype = anything,storage = rectangular,order = Fortran_order,shape  and (2,1) etc

Matrix(3,3,{(2, 1) = 1, (3, 1) = 1, (3, 2) = 1},datatype = anything,storage = rectangular,order = Fortran_order,shape = []), 

what are the dynamical system which act on invariant manifold?

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