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MaplePrimes Questions

Eigenvalues , eigenvectors and Fundamental Matrix...

Asked by: student_1 305
June 18 2017
0  1

How to write a code find fundamental matrix of the following Matrix?

restart; with(LinearAlgebra): A:=Matrix([[0, 1, 0, 0], [-a, 0, b, 0], [0, 0, 0, 1], [c, 0, -d, 0]]);eigenvectors(A);

where a,b,c,d∈IR.

I want to find eigenvalues and eigenvectors and then want to calculate e^( λ i)*ri  where λi's are eigenvalues, ri's are eigenvectors of A for i=1,2,3,4  respectively.

Then, I want to calculate Wronskian of the matrix which consists of vectors e^(λi)*ri in the columns. Could you help me?

See: Fundamental Matrix

How to solve and plot the critical point(s) in map...

Asked by: aa_30 5
June 17 2017
1  2

Find and classify all the critical point(s) for 

f(x,y)=x3 + 3xy2 - 15x + y3 - 15y .

Solve the system, Please I need help with this que...

Asked by: Andrew Nunes 10
linearalgebra linearsolve
June 17 2017
0  1

is it possible to evaluate or how to evaluate this...

Asked by: LeeHoYeung 535
sum summation
June 17 2017
0  5
updated

after refer from

https://en.wikipedia.org/wiki/List_of_representations_of_e

exponential1 := sum((1/n!), n=0..infinity);
exponential1 is not a decimal number, it is exp(1)
 
hoyeung1:= sum((Int(exp(LambertW(1/(-1+x))*(-1+x)), x)), x=0..infinity);
 
hoyeung2:= sum((Int(exp(LambertW(1/(-1+x!))*(-1+x!)), x)), x=0..infinity);
 
how to evalute hoyeung1 or hoyeung2 as a decimal number?
 
how to evalute hoyeung^x as a decimal number function is func1 := proc(x) return hoyeung^x end proc:
 
but i do not know whether sum((Int(exp(LambertW(1/(-1+x))*(-1+x)), x))*m^x, x=0..infinity) = hoyeung^x
 
can limit(1+(Int(exp(LambertW(1/(-1+x))*(-1+x)), x)))^x, x=infinity) = hoyeung^1 ?

Could someone help me with grtensor?...

Asked by: deniscr 80
June 17 2017
1  4

I need a help from someone who knows the GRTensor commands.

If you create a tensor of rank 2 using the grdef ("F {(a) (b)}"). Until then, okay!

However, I would like to define each of the 16 tensor components and I do not know how to do.

Could someone help me?

Thank you very much!

how to dsolve this case and evaluate the solution?...

Asked by: LeeHoYeung 535
dsolve
June 17 2017
0  2

sol := dsolve(diff(ln(y(x)),x) = y(x)^(1/(1-y(x))), y(x));
x-Intat(_a^(-(-2+_a)/(-1+_a)), _a = y(x))+_C1 = 0
 

the solution is not y(x) = , but y(x) at the right hand side

how to find back the term in summation?...

Asked by: LeeHoYeung 535
series summation
June 17 2017
0  3
Lee := (-1+Int(exp(LambertW(1/(-1+t))*(-1+t)), t=1..x))/(Int(exp(LambertW(1/(-1+t))*(-1+t)), t=1..x));
sum(unknown, n=1..infinity) = Lee
 
how to find unknown?

how to complex plot this function?...

Asked by: LeeHoYeung 535
complexplot
June 17 2017
0  2
complexpoint run a long time
there is no option numpoints in complexplot, how to fasten it?
 
Lee := (-1+Int(exp(LambertW(1/(-1+t))*(-1+t)), t=1..x))/(Int(exp(LambertW(1/(-1+t))*(-1+t)), t=1..x));
complexplot(Lee, x = 0 .. 1);
Lee := Re(-1+Int(exp(LambertW(1/(-1+t))*(-1+t)), t=1..x))/(Int(exp(LambertW(1/(-1+t))*(-1+t)), t=1..x));
plot(Lee, x = 0 .. 2, numpoints = 5);
Lee := Im(-1+Int(exp(LambertW(1/(-1+t))*(-1+t)), t=1..x))/(Int(exp(LambertW(1/(-1+t))*(-1+t)), t=1..x));
plot(Lee, x = 0 .. 2, numpoints = 5);

Maple 2017 cannot handle the integral of the Krone...

Asked by: aportela 10
June 16 2017
0  2

Dear Sirs,

I would very much appreciate if you could help me sorting out the attached problem that Maple 2017 is giving a wrong result.

Y s.

My code:

I want to define the Kronecker delta function and compute its integral that is 1, but Maple guives 0 that is a wrong answer.
I would very much appreciate if you could help me sorting out this problem.

My e-mail: a3portela@gmail.com 

Untitled.pdf

Integral with lower limit close to zero ...

Asked by: mhdlynch 20
integral gamma
June 16 2017
1  2

Hi,

I want to solve the integral with respect to Gamma function but I can not obtain it by maple. the lower limit "a" is very close to zero. Please direct me. Thank you

Integral.mw


 

 

 

 

Is there geometric or statistical meaning for ln(d...

Asked by: LeeHoYeung 535
differential-geometry
June 16 2017
0  1

Is there geometric or statistical meaning for ln(dy/dx) = 0?

is there any feature in vector field plot when ln(dy/dx) = 0?

how to evaluate or how to use these functions?...

Asked by: LeeHoYeung 535
dsolve
June 16 2017
0  5
Int(exp(LambertW(1/(-1+x))*(-1+x)), x)+1
 
x-Intat(1/exp((-1+_a)*LambertW(1/(-1+_a))), _a = y(x))-_C1 = 0
 
i use dsolve two equations, get two possible results,
how to evaluate these functions or how to use these functions?

error when using variable...

Asked by: LeeHoYeung 535
dsolve op indets
June 16 2017
0  2
mas := proc(f)
return ln(diff(rhs(subs(_C1=0,dsolve(diff(y(x),x) = f))), x$2));
end proc:
mas(exp(x));
mas(mas(exp(x)));
mas(x^2);
mas(x^2+x^3);
 
when i hard code x, there is no problem in above code.
but when i op to get variable x and run below, it do not have problem when run line by line, but it has problem when run in
procedure
Error, (in mas) invalid input: diff received exp(x), which is not valid for its 2nd argument
 
mas := proc(f)
local martin:
martin := op(f):
return ln(diff(rhs(subs(_C1=0,dsolve(diff(y(martin),martin) = f))), martin$2));
end proc:
 
mas(exp(x));
mas(mas(exp(x)));
mas(x^2);
mas(x^2+x^3);

Weibull Distribution Formula...

Asked by: Les 190
plot statistics excel
June 15 2017
1  3

What is the Maple Formula for the Excel function: =WEIBULL.DIST(A1,2,6.2,FALSE)

where A1..A26 is 0..26  ?  How do I plot it?

Thank you, Les

convert function to expression...

Asked by: Christopher2222 6035
procedure unapply
June 15 2017
0  3

Sorry for the simple subject.  Using unapply we can convert an expression to a function. 

a:=x^2+sin(x)

a:=unapply(a,x)

               a:= x-> x^2+sin(x)

How do you go the other way.  That is convert a function to an expression?

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