MaplePrimes Questions

Hi,

just a quick question: Is it possible to customize the default worksheet with my own settings/styles, such that my settings are loaded automically when I create a new worksheet? I've tried to change my settings/styles and apply that globally but, once I leave MF and re-launch it, my settings/styles are not loaded.

Thanks very much in advance.

Hello, I have a question regarding finding two vectors that result in a resulting vector with only the directions of the two needed vectors.

Given:

- Vector F_RC1

- Unit Vector of F_RC1Y (called EV_C1Y)

- Unit Vector of F_RC1_ST (called EV_C1_ST)

Needed

- F_RC1_ST

- F_RC1Y

The picture below and the file should make it clear. 

vector_question.mw

How do I approach this? Best regards,

I knowI can use a loop but I would like something neater. igcd can be applied to a list. Is there a way to map or use @ to apply gcd to a list?

lst:= [4, 2, 8, 4];
lst1 := [a^3/10, -a^2/2, a, a^4/4]
                      lst := [4, 2, 8, 4]

                        [1   3    1  2     1  4]
                lst1 := [-- a , - - a , a, - a ]
                        [10       2        4   ]


gd:=igcd(lst);



                            gd := 2

gd1=(gcd@op)(lst1);

 

Maple's Student:-ODEs:-ODESteps solves an ode by doing change of variable on the independent variable, but the resulting ode is wrong and final answer is wrong.

Here is one such example

restart;
ode:=diff(diff(y(x),x),x)*sin(x)^2 = 2*y(x);
Student:-ODEs:-ODESteps(ode):

But this result is wrong. First of all, we can not have both x and t  in the same ode. This is what dchange gives

ode:=diff(y(x),x$2)*sin(x)^2-2*y(x)=0;
tr:={PDEtools:-Solve(t=ln(x),x)};
simplify(PDEtools:-dchange(tr,ode,[t]))

It looks like Student:-ODEs:-ODESteps is trying to solve  sin(x)^2*y'' + 2 y=0 as EULER type ode.

But Euler type ode will look like  x^2*y'' +2 y=0  

It seems to have confused sin(x)^2 with x^2. This change of variable it used only works for EULER type ode with polynomial coefficient, not trig coefficients.

Maple 2024.2 on Windows 10

 

restart;

Let x be some name:

x := asdf;

asdf

I wish to make a new name, y, whose value is the first character in x:

convert(x, string):
y := convert(%[1], name);

a

That works but seems too convoluted.  Is there a better way of doing that?

i already use this method for a lot of equation but this time something not normal hapening what is problem?

``

restart

with(PDEtools)

with(LinearAlgebra)

with(Physics)

with(SolveTools)

``

eq0 := -4*alpha*k^2*m^2*n^2*A[0]^2+4*beta*k*m*n^2*A[0]^3-4*gamma*k*m*n^2*A[0]^3+4*delta^2*m*n^2*A[0]^2-4*n^2*sigma*A[0]^4-4*m*n^2*w*A[0]^2 = 0

eq1 := -8*alpha*k^2*m^2*n^2*A[0]*A[1]+12*beta*k*m*n^2*A[0]^2*A[1]-12*gamma*k*m*n^2*A[0]^2*A[1]+8*delta^2*m*n^2*A[0]*A[1]-16*n^2*sigma*A[0]^3*A[1]+2*a*alpha*m*n*A[0]*A[1]-8*m*n^2*w*A[0]*A[1] = 0

eq2 := -4*alpha*k^2*m^2*n^2*A[1]^2+12*beta*k*m*n^2*A[0]*A[1]^2-12*gamma*k*m*n^2*A[0]*A[1]^2+4*delta^2*m*n^2*A[1]^2-24*n^2*sigma*A[0]^2*A[1]^2+a*alpha*m^2*A[1]^2+3*alpha*b*m*n*A[0]*A[1]-4*m*n^2*w*A[1]^2 = 0

eq3 := 4*beta*k*m*n^2*A[1]^3-4*gamma*k*m*n^2*A[1]^3-16*n^2*sigma*A[0]*A[1]^3+alpha*b*m^2*A[1]^2+alpha*b*m*n*A[1]^2+4*alpha*c*m*n*A[0]*A[1] = 0

eq4 := -4*n^2*sigma*A[1]^4+alpha*c*m^2*A[1]^2+2*alpha*c*m*n*A[1]^2 = 0

C := solve({eq0, eq1, eq2, eq3, eq4}, {a, b, c, `__ `*A[0]})

Warning, solving for expressions other than names or functions is not recommended.

 

(1)
 

NULL

Download problem.mw

Can someone tell me how to calculate the Christoffel symbols in spherical coordinates in Euclidean three dimensional space?

Thank you very much in advance!

Hello 

I am working on my vector file and have another question:

1. How do I display any vectors in a matrix notation next to each other or above each other (like: [1;2;3]) 

Find attached the file:question_vector_.mw

I really appreciate any help you can provide.

At the end of this link - (2.14) and (2.15) - the problem and the solution have the same maple code, so I don't understand how to solve the problem.

https://www.maplesoft.com/support/help/Maple/view.aspx?path=isimplicitlydeclaredlocal

Is it possible to have a variable in a filename ?

as an example if I save a file by


save M, "Result(Variable).txt";

So If Variable is e.g. set to

Variable:=10;
then the filename saved should be
Result(10).txt

It is not that this a terribly difficult to work out, but I feel I am probably missing something. I need to check if a 3D point lies on a 3D line. What is a good approach here. I started of with the idea all alpha's are equal. but there are exceptions. See P3 and P4

restart

NULL

l := `<,>`(3+2*alpha, 1+6*alpha, 4-5*alpha)

Vector[column](%id = 36893489809910741940)

(1)

NULL

P := [9, 19, -11]

[9, 19, -11]

(2)

seq(solve({l[i] = P[i]}, alpha), i = 1 .. 3)

{alpha = 3}, {alpha = 3}, {alpha = 3}

(3)

l1 := `<,>`(3+2*alpha, 1+0*alpha, 4-5*alpha)

Vector[column](%id = 36893489809910721460)

(4)

P1 := [9, 1, -11]

[9, 1, -11]

(5)

seq(solve({l1[i] = P1[i]}, alpha), i = 1 .. 3)

{alpha = 3}, {alpha = alpha}, {alpha = 3}

(6)

l2 := `<,>`(3+2*alpha, 1+0*alpha, 4-0*alpha)

Vector[column](%id = 36893489809910705556)

(7)

P2 := [9, 1, 4]

[9, 1, 4]

(8)

seq(solve({l2[i] = P2[i]}, alpha), i = 1 .. 3)

{alpha = 3}, {alpha = alpha}, {alpha = alpha}

(9)

l3 := `<,>`(3+2*alpha, 0+0*alpha, 4-0*alpha)

Vector[column](%id = 36893489809963852012)

(10)

P3 := [9, 0, 4]

[9, 0, 4]

(11)

seq(solve({l3[i] = P3[i]}, alpha), i = 1 .. 3)

{alpha = 3}, {alpha = alpha}

(12)

P4 := [9, 0, -2]

[9, 0, -2]

(13)

seq(solve({l3[i] = P4[i]}, alpha), i = 1 .. 3)

{alpha = 3}, {alpha = alpha}

(14)

 

Download 2024-12-21_Q_3D_point_lies_on_3D_line.mw

I don't know what that line above the question is. Thanks in Advance.

Hello everyone,

I'm quite new to Maple Flow and I really like it. However, since the 2024.2 update, Flow sometimes does not let me save a worksheet. Just nothing happens when I click Save or Save As or press Ctrl+S. Same thing when I click "Yes" in the dialogue (which asks me if I want to save the changes) after I close the worksheet.

As a workaround in these cases, I copy the whole content of the worksheet, close Flow altogether and open a new worksheet into which I paste the previously copied contents. Am I the only one experiencing this behaviour? Am I doing something wrong?

NULLComplex Numbers

 

Key Skills 11-48

NULLc11 := 2-3*i+(6+8*i)"(=)"8+5*i

c12 := 4+5*i-8+2*i"(=)"-4+7*i

c13 := -3+2*i-4+4*i"(=)"-7+6*i

c14 := 3-4*i+(3+4*i) = 6NULL

c15 := 2-5*i-8-6*i"(=)"-6-11*i

c16 := -8+4*i-2+2*i"(=)"-10+6*i

c17 := 3*(2-6*i)"(=)"6-18*i

c18 := -4*(2+8*i)"(=)"-8-32*i

NULLc19 := 2*i(2-3*i) = 2*i(2-3*i)NULL

c20 := 3*i*(-3+4*i) = 3*i*(-3+4*i)

c21 := (3-4*i)*(2+i) = (3-4*i)*(2+i)NULL

c22 := (5+3*i)*(2-i) = (5+3*i)*(2-i)

``

``

Download 1.3-Complex_Numbers_bad.mw

I'm trying to get my problems in standard form  a + bi . Questions 19 - 22 are wrong.

How can I display the symbol (blue solid circle) and the line (blue line) together in the legend box (( from   to ))?

plot(sin(x), x = -3 .. 3, colour = [blue], style = pointline, symbol = [solidcircle], numpoints = 20, legend = ["sin(x)"])

 

 
 

``

Download Plot1.mw

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