int(sqrt(1 + sec(x)^2), x)

int(sqrt(2 + tan(x)^2), x)

With Maple 13, which is the latest version on the computer on which I tested these integrals (that originated with a

senior scientist in Australia), the former yields a reasonably compact answer, but the latter yields an extensive

output containing Elliptic functions of various kinds. The two integrands are trigonometric identities. What is the

problem here?

...

Here is one of the problems from "Mathematical Trivium" (Russian Mathematical Surveys, 1991, 46:1, 271-278) by V. Arnold. Those problems are aimed at the strong graduate and postgraduate students of the top universities. I find it remarkable that a big part of the Arnold's problems can be solved with Maple. Problem...

I will use this post for a list of conclusions drawn from MRB constant N and the many similar approximations that I have found.

Let x= MRB Constant. Each approximation is followed by a maple input so you can verify these approximations.

I want one of a sequence of questions to not show it answer. The other questions need to show their answers, but this one

cannot. I could make a separate assignment for this question but that seems rather painful. I use latex => .qu so the

solutions that don't require touching the editor is a plus.

I'm doing some algebra with transfer functions, which are often written in LaPlace Transform notation, e.g. f(s) = 1/s. One often wants to find the "gain and phase" of such, which is easy to do using the following steps:

1) Substitute "i omega" (imaginary unit, omega = frequency in radians) for s.

2) Express the complex quantity in polar (rho, phi) notation -- rho = amplitude, phi = argument (Phase).

So here's my question -- if I am developing...

Ok hello everyone and thank you in advance.I have 2-3 difficulties in a maple plotting.I'm trying to plot two fairly easy surfaces in maple 3d. What I want is:3 standard axis, x,y,z with y vertical and z coming out of the screen(obviously you can turn it and stuff.)Two surfaces:On with y = (1/x), z=free;The second with y= 2*x(1/z);

Hi all,

I'm editing a scientific document in Maple document mode. I'd like to assign a mathematical result to a variable, which is a 2D-math expression.

An example:

I'd like to assign the result of

to the expression

I was about to post this as a "How-do-I" question, but while composing my question, I stumbled upon the solution. In case this "discovery" would be useful, I'm posting it here.

For some coursework, I'm developing fitting sinusoids to experimental data (poor-man's Fourier Analysis). At one point, I do a "brute-force-least-squares" computation, one step of which involves computing the sum of a sine over N equally-spaced intervals around the circle. This...

As some of you know, I'm hoping to, some day, find a closed form expression for the MRB constant.

Here is my latest little nugget.

Let x=MRB constant.

= log(x) with an error< ...

Why does:

G := Heaviside(x): int(G(x)*G(t-x), x = 0 .. 3);

Produce a "Error, (in unknown) too many levels of recursion"?

Hi!

I'm sure there is a simple solution to my problem, but because I'm fairly new to using Maple, I can't figure out why my graph won't work. All I'm trying to do is graph a function along with its first and second derivatives within the same graph. The original function is f(x)= (2+sinx)^x^{2}/(x^{2}+1).

I defined the function as f and then found the first derivative by using df:=D(f...

External calling functions from Windows dlls in Maple uses __stdcall calling convention.

Most Windows dlls including <windows.h> are using that convention (called also WINAPI). However, C runtime dll (msvcrt.dll) and most mathematical dlls - such as gsl, PARI, etc. which would be very useful, are using __cdecl calling convention and functions from them can not be easily called from Maple. One has to create a wrapper dll with __stdcall calling convention for that. In particular, Axel Vogt did that for a part of PARI.

Would that be possible for Maplesoft developers to add option CDECL in define_external in Maple 15 allowing calling C library functions and functions from gsl, PARI, etc. directly from Maple, without a burden of writing __stdcall wrappers for them first?

I'm new to maple and am evaluating it as a means of deriving symbolic equations of motion for a system comprising two flexible bodies sliding relative to one another and rotating in 3d space using the Boltzmann Hamel equations. I have written up the approach but the maths is extremely tedious by hand so I wondered if maple could help. For a start how do I define a simple indexed 3 element vector and then create the skew matrix equivalent (tilde matrix) as...

My first touch with Maple was in 1997,when I was in my undergraduate course.The software of maple was in three floppy disk.

Since 2000,I becomes a teacher for mathematics .Now I am using it to compute the integrate,limits,etc.

To the world you may be one person,but to one person you may be the world!

This post is a further development of my earlier question in reply to John's post. I have implemented a basic version of the CANDECOMP/PARAFAC algorithm referred to on Wikipedia and described

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