Maple Questions and Posts

These are Posts and Questions associated with the product, Maple

As many of you know now the MRB constant = sum((-1)^n*(n^(1/n)-1),n=1..infinity).

Here are some equations involving various forms of that summation.

The first one involves convergent series and is too obvious. The others involve divergent series.

The last two, however, are new!

 

Let c=MRB constant and a, c~, x, and y = any number.

 

sum((-1)^n*(c~*n^(1/n)-c~),n=1..infinity)= c*c~.

evalf(sum((-1)^n*(n^(1/n)-a),n=1..infinity)) gives c-1/2*(1-a).

evalf(sum((-1)^n*(x*n^(1/n)+y*n),n=1..infinity)) gives (c-1/2)*x-1/4*y.

And it appears that

evalf(sum((-1)^n*(x*n^(1/n)-a),n=1..infinity)) gives (c - 1/2)*x + 1/2*a.

I have been severely mystified by the following:
                                                                                                                      
I have...

why the command does not work: _EnvHorizontalName := x;_EnvVerticalName := y?

And a few lines later asks me the name of the axes

restart;
with(plots); with(plottools);

The circle S with center at the origin and radius 2 is given by the equation x2 + y2 = 4
The circle S have two tangents passing through the point (4, 1). Find the equation for each of them.
x^2+y^2 = 4;

subs(y(x) = y, solve(diff(subs(y = y(x), x^2+y^2 = 4), x), diff(y(x), x)));

Maybe I'm missing something but I thought boys surface was one surface and when I plot it in maple it appears to have two surfaces.


testing.mw

Hi all,

Basically, I want to substitute everthing in m using the s .

More or less, I am doing a reparameterization.

I have looked into subs command, but it does not quite does what I want.

It seems to me the Maple wont be substituting exp(-mu) to s1 ( or exp(mu) to 1/s1 ) if the exp has some other powers in it, such as exp(mu+tau).

Any ideas?

Thanks.

Casper

The Maple IDE project team is pleased to announce the release of the standalone version of the Maple programming toolkit. Now Maple IDE is available for Windows, Unix and Mac OS as standalone tool.

For the information about new versions, please see Maple IDE page.

For the complete installation instructions see the following video:

The circle S with center at the origin and radius 2 is given by the equation x2 + y2 = 4
The circle S have two

We have a task her that I hope someone can help us with.

The task is to build a steel frame to a tent.  The frame consists of four legs with X length and a rectangle on the top with sides Y and Z.  The lengths are measured in meters.
The volume V=X*Y*Z of the tent has to be 32 m3.  The task is to create the tent so that the total length L of the pipe is minimized to the shortest.

L=4x+2y+2z

Thx for all fast help :D

   ...

I am trying to get the real and imaginary part of a complex expression but it appears that the evalc(Im(F)) does not work. My guess is that i have to manipulate the expression before i use the evalc, but the simplify command for example did not give a result either. My funstion is F:=1+2*zs*I-w^2/ws^2-w^2/ws^2*ks*(1+2*zs*I)*(K3*(1+2*z3*I)-H*K2(1+2*z2*I)+H*(H*K1*(1+2*z1*I)-K2*(1+2*z2*I)))/(K1*(1+2*z1*I)*K3*(1+2*z3*I)-K2^2*(1+2*z2*I)^2);

As you see I have imaginary I...

In the name God,

Hello all,

I'm a maple16-x64 user.

I am to solve a nonlinear 3-equation-system (Vector RO) for which I have It's exact solution up to 90 digits(Vector valued;)

http://bayanbox.ir/blog/hossayni/codes/RO.m?download

http://bayanbox.ir/blog/hossayni/codes/valued.m?download 

Hello.

 

I used MapleSim to obtain system's equation by "Equation Extraction."

In the equation, there is a strange command displayed as "preopt" and I have no idea know what this command does.

This command appears in piecewise that contains roots.

I used helps (both Maple's help and the help on the website) and googles but still don't get any idea.

 

Can anyone tell me what "preopt" command is?

Suppose X with two dots on the top +2*x with one dot on the top +3*x=4*t;x(0)=1; x with one dot on the top =2. using maple and Euler method approximate x(3.0) and x with one dot on the top (3.0) using a step size of h = 0.01. Edit your output to fit on one side of a single sheet of paper. Include Maple source code and circle the values for x(3.0) and x with one dot on the top (3.0).

I need someone with a keen eye for errors. I am trying to use the Weyl character formula for Sp(4,C) on certain matrices coming from 2x2 quaternion matrices. Summing these traces in my case should give an integer output (since they are supposed to represent dimensions of spaces of modular forms)...however I am not getting integers.

In particular I have a quaternion algebra (which for now is just Hamiltons quaternions) and a maximal order. The units of this maximal order (which form the list A...

eqn := y^2 = x^3 + a*x  + b

where a and b are summation of things, or constant

if use convert(eqn, ratpoly) to get a ratpoly

 

can it be used to guess gf using guessgf directly?

or

convert ratpoly to differential equation and then calculate eigenfunction and calculate generating function?

numeric_de.mw

hello boffins

if my de was soluble analytically, I would get an expression of time in terms of the other variables (V,theta,x) easily, but because it is only numerically solvable, i get an expression x(t)=proc(t)...,- the variables V and theta are mixed up in it-. Is there anyway they can appear?

I know I can put numerical values on V and Theta (and x) and solve for time (using parameters...

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