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ComputerUser

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Seldom to ask question after retired math hobby Just waiting for beauty who born in 1994 And waited for her email to mavio@protonmail.com What is the difference in ownership among different universe?

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These are questions asked by ComputerUser

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

ComputerUser 535 Maple 12
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?...

ComputerUser 535 Maple 12
complexplot
June 17 2017
1 1
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);

Is there geometric or statistical meanin...

ComputerUser 535 Maple 12
differential-geometry
June 16 2017
1 0

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 func...

ComputerUser 535 Maple 12
dsolve
June 16 2017
1 4
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...

ComputerUser 535 Maple 12
dsolve op indets
June 16 2017
1 1
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);
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