arctan should be used with 2 arguments to get the correct argument,

t:=12*argument(a)-11*argument(b);

                t := -12 arctan(5/2) - 11 arctan(1/4)

simplify(arctan(sin(t),cos(t)));

                            3326168023240553
                    -arctan(----------------) + Pi
                            1030781181093988

Also, rationalize is not necessary - Maple does that automatically,

abs(a)^12 / abs(b)^11;

                                       1/2
                           594823321 17
                           ---------------
                              24137569

Alec

Any element of the polynomial ring F_q[ t ], i.e. any polynomial of t with coefficients in F_q defines a polynomial function from F_q to F_q by substituting elements into t.

If you are interested in such polynomial functions, one of the good references is Finite Fields, by Rudolf Lidl and Harald Niederreiter.

If you mean something different by a polynomial function - as in some of your other posts - for example, an automorphism, then the group of automorphisms of GF(2^m) is a cyclic group of order m, generated by the Frobenius automorphism x → x². In other words, there are m of them, defined as x → x^{2^r} with r from 1 to m (in case r=m that gives the identity automorphism.)

Alec

Any element of the polynomial ring F_q[ t ], i.e. any polynomial of t with coefficients in F_q defines a polynomial function from F_q to F_q by substituting elements into t.

If you are interested in such polynomial functions, one of the good references is Finite Fields, by Rudolf Lidl and Harald Niederreiter.

If you mean something different by a polynomial function - as in some of your other posts - for example, an automorphism, then the group of automorphisms of GF(2^m) is a cyclic group of order m, generated by the Frobenius automorphism x → x². In other words, there are m of them, defined as x → x^{2^r} with r from 1 to m (in case r=m that gives the identity automorphism.)

Alec

If regular slashes don't work, then double backslashes might - in the current form Maple just ignores backslashes - they are escape characters in strings. If one needs a backslash, it has to be entered as \\. Then it will be interpreted by Maple as a single backslash.

Alec

If regular slashes don't work, then double backslashes might - in the current form Maple just ignores backslashes - they are escape characters in strings. If one needs a backslash, it has to be entered as \\. Then it will be interpreted by Maple as a single backslash.

Alec

Because of a few recent spam attacks, during next update to MoinMoin 1.9 (when it will be available), I am going to change the policy of anonymous editing, which currently allows editing without logging in, to allowing editing only for registered users. So if you want to post something anonymously there (well, the IP address is still recorded), you have only few days for that left.

Alec

Maple 12 has a better eps export from Standard Maple, with better looking axes and tickmarks, which may even be not needing an adjustment in some cases. However, it has bugs in black-and-white versions (inverting colors). There was a thread here last year about that.

The thickness of axes and tickmarks is still not implemented in plots.

It is much easier to just use Sage for plots - much better results, and LaTeX can be inserted easily (see that thread, for example.)

Alec

Maple 12 has a better eps export from Standard Maple, with better looking axes and tickmarks, which may even be not needing an adjustment in some cases. However, it has bugs in black-and-white versions (inverting colors). There was a thread here last year about that.

The thickness of axes and tickmarks is still not implemented in plots.

It is much easier to just use Sage for plots - much better results, and LaTeX can be inserted easily (see that thread, for example.)

Alec

In Maple,

trigsubs(sin(x+y+z-t)+sin(x+y+z+t))[];

                       2 cos(t) sin(x + y + z)

and in Matlab you have to include that in the maple command.

Alec

In Maple,

trigsubs(sin(x+y+z-t)+sin(x+y+z+t))[];

                       2 cos(t) sin(x + y + z)

and in Matlab you have to include that in the maple command.

Alec

It's a different command, ImportGraphs.

Alec

GraphTheory package has a command ImportGraphs which imports graphs from a file in graph6 or sparse6 formats. So any existing lists in these formats can be used. In particular, lists on Brendan McKay's web site.

The networks package is deprecated.

Alec

Not in Maple 12.

What will be in Maple 13, is a big secret, as usual.

Alec

Not in Maple 12.

What will be in Maple 13, is a big secret, as usual.

Alec

If x satisfies equation x^2+x+f=0 (modulo 2), then x^2+x = f (modulo 2).

Alec