## problem with y-axis labels in logplot...

Hello, I ran into some problems with the y-axis labeling and tickmarks, and would appreciate any help you could offer. Thanks! The y-axis plotted below has two 10^(-6) labels, and the tickmarks on the y-axis do not look correct either (more than 10 subtickmarks per order of magnitude!). -Dan > restart; >with(plots); > dBv[1] := 37.43; dBv[2] := 31.29; dBv[3] := 25.75; dBv[4] := 20.86; dBv[5] := 16.54; dBv[6] := 12.58; dBv[7] := 9.28; dBv[8] := 6.02; dBv[9] := 3.32; dBv[10] := 1.25; dBv[11] := -1.54; dBv[12] := -3.38; dBv[13] := -5.45; dBv[14] := -7.2; dBv[15] := -8.04; dBv[16] := -8.29; dBv[17] := -10.06; dBv[18] := -9.32; dBv[19] := -10.53; dBv[20] := -9.71;

## Wieferich primes

by: Maple
Hi, I ran into this in my Modern Algebra class; and decided it might be of interest. We were given the problem to: "Find the least prime p s.t. 2^(p-1) congruent to 1 (mod p^2)" EVERY prime p > 2 has the property, 2^(p-1) congruent to 1 (mod p), by Fermat's Theorem (since 2 does not divide such prime p). But, mod p^2 is another story. This was given in a class where everything is done by hand calculation, based on theorems. I couldn't come up with any way to determine it other than brute force. Here is a tiny Maple snippet which finds it:

## Symbols in textplot and plot...

How do I get Maple 11 to show the symbol instead of the text when using textplot and labels=[ ] in plot? For example, I want my labels to have the symbol lambda, but when I try labels=[\lambda,x] I just get the text "lambda." Likewise, I'd like to be able to plot text with subscripts, i.e. text1:=textplot(0.6,0.8,"p_gt^*") gives me that exact text on the graph when what I really want to show up is the label p* with the subscript "gt." Thanks!

## How do I export the complete document to LaTeX?...

I am trying to export a worksheet from Maple11 to LaTeX using the "export as" function. It produces a .tex-file that uses the "maplestd2e"-package. When I compile the document I see the output of the computations and all figures, but I don't see the maple-commands that I have entered to obtain the output. It works fine if I use Classic Worksheet mode, which uses the "maple2e"-package. Any suggestions on how I can export the Maple input commands to LaTeX using the standard Maple11? Thank you. mami

## simplify an expression with exp(ix) and exp(-ix)...

How do I force maple to simplify an expression containing exp(ix) and exp(-ix) to an expression contating sin(x) and cos(x) (if possible). Example: I want maple to recognize a*exp(I*x)+a*exp(-I*x) as 2*a*cos(x) or (slightly more complicated) to recognize -I*(1-exp(-2*I*x))/(1+exp(-2*I*x)) as sin(x)/cos(x) or tan(x)

## EASY question on error message...

Dear all! I don't use Maple very regularly and have come across the following error message: "Error, (in content/polynom) general case of floats not handled" This error message occurs when I try to differentiate a fairly simple function of one variable and various constants. The curious thing is the following (and that's probably crucial to the problem): when the constant d equals 1 (see attached file), Maple does the derivation without any problems. As soon as it is a decimal number (e.g. 0.9) the error message occurs (note: d is always smaller or equal to 1). Plus, when d is a decimal number all functions in my worksheet increase considerably in size. Maple doesn't seem to fully simplify them. I guess, this is the source of the problem.

## Weakness in animate

Maple
The fact that animate uses subs when replacing the animation parameter with a number in the animation range can cause problems when the expression to be animated is only evaluated when the animation parameter is replaced by a numeric value. This is shown in the simple example below My suggestion is that in the procedure plots/animate the three subs's are replaced by eval's. Is there any problem with that? Preben Alsholm The following does not work at all, apparently because animate uses subs instead of eval in 3 places, lines 29, 43, and 64 (using showstat(plots/animate).

## Integer Division...

Hi,

I had an issue where I wanted the quotient of two integers a and b; the quotient q from the division algorithm for a/b which finds a = b*q + r, 0 <= r < b

I was not sure how to obtain it. Since,

a := 7;
b := 3;
q := a / b; # returns fraction 7/3

Received some help from G. A. Edgar from Ohio State and Joe Riel from Maple; who clued me into the use of 'iquo' to obtain this.

a := 7;
b := 3;
q := iquo(a,b,'r'); # q = 2, r = 1

I was experimenting with floor(a/b), but I am sure this is more efficient (no conversion between fraction and integer);

There is 'irem' which just determines the remainder from integer division. The 3rd argument in iquo is optional ... and returns the remainder from the division.

## Showing steps...

How do I get Maple to show the old-fashioned, step-by-step solution of a a problem. I have tried to find this in "Help" but Maple's help is so disorganized as to be rather UNhelpful.

## How to use MmaTranslator?...

Good morning Maple experts, When I use FromMma() to the following expression: Test1 := ( T = {1, 2, 3}; Clear[v]; v[{}] = 0; v[{1}] = 1; v[{2}] = 2; v[{3}] = 3; v[{1, 2}] = 4; v[{1, 3}] = 5; v[{2, 3}] = 6; v[T] = 19;) I got only Test1:=T:=[1,2,3] The function I used was FromMma(Test1:=( T={1,2,3}; v[{}]=0; v[{1}]=1; v[{2}]=2;v[{3}]=3;v[{1,2}]=4;v[{1,3}]=5; v[{2,3}]=6; v[T]=19;)); 1. Where is my mistake? 2. What are the equivalent expressions in MAPLE? .. How may I write it without using MmaTranslator? Many thanks for the help!

## Hotw to get the data from a 3d plot...

How do I get the data from a 3d plot in maple 9 to a .txt or .dat file so I can plot it in origin or whatever?

## Saving...

When I click the "Save" or "Save as" options in my maple work, nothing happens, I can't save what so ever, does anyone else have this problem and if so, how do I fix it?

## Maple 11 Introductory Programming Guide...

On page 121 of the 2007 edition of the Maple 11 Introductory Programming Guide in section 3.6 Exercises, problem 3, it says: "... Find the inverse of (a*b)/c+((a-d)/(b*e))*I) in standard form, where a, b, c, d and e are real." Here is my failed attempt: View 4937_Problem_3.mw on MapleNet or Download 4937_Problem_3.mw
View file details TIA

## A question on procedures that return procedures

by: Maple
I'm trying to do symbiolic manipulations to define new procedures but I have trouble figuring out how to achieve my goal. The context is as follows: We have a set of ODEs df/dt = R(f(t)) where f(0) = x. Here f and x are n-dimensional vectors with components f[i], x[i], and R is a vector valued function with components R[i]; t is time. Example: R[1] := proc (x::Vector) x[2] end proc; R[2] := proc (x::Vector) -x[1]*(1+x[3]^2) end proc; R[3] := proc (x::Vector) x[4] end proc; R[4] := proc (x::Vector) -x[3]*(1+x[1]^2) end proc; Now, the Liouville operator is defined as L := proc(F::algebraic,a::list(algebraic))

## Tangent plane help

by: Maple
How do I get maple 11 to graph the surface and the horizontal tangent plane (same graph). The function I am working with is z=3x^2+2y^2-3x+4y-5 the point would be (1/2,-1,-31/4) I am a new user, so if you could take it step by step, that would be very helpful. Thank you, Jerry
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