MaplePrimes Questions

Hi, Let P=256*x^8+128*x^7-448*x^6-192*x^5+240*x^4+80*x^3-40*x^2-8*x+1 and Q=x^8-36*x^7+210*x^6-462*x^5+495*x^4-286*x^3+91*x^2-15*x+1. The roots of these 2 irreducible (over Q) polynomials generate the same Q-extension. (P is the minimal polynomial of cos(2*Pi/17)). I'd want to write the Q-roots as algebraic functions of the P-roots; there exist 8 such functions. If I use "evala(Primfield{RootOf(P)}{RootOf(Q)})" I obtain an error message but I see that Maple has the result (in part hidden!!). What can I do ? More generally: let P,Q 2 irreducible polynomials over Q; do they generate the same Q extension ? Does a such test exist ?
/Users/tvawter/Documents/Maple10 Work/Document Blocks.txt

I am unable to make the example on page 248 in the User Manual work. When I try to display the Document Block, nothing happens. The manual says "Select the output region..." I assume that means Maple Output. When I hit Toggle Input/Output Display in the View menu I get nothing. What am I missing here?

Tom Vawter
I tried using the piecewise function and only got it to work by using the boolean operator and.

The two conditions were:

1: 0<= x <=a

2: a<= x <=b

However, just using the two conditions as they're written above with the function piecewise gave me error statements.

Is the only way to use such conditions in the piecewise function, is by using the conjunctive ? (i.e. writing it as 0<=x and x<=a, f1, a<=x and x<=b, f2).


I have the equation (x+k)^2 = -d (7) I want to get (x+k) = sqrt(-d) by inputting sqrt(lhs((7))) = sqrt(rhs((7))) but I run into that old problem of sqrt(v^2) = sqrt(v^2) I realize you can use 'assuming' but its awkward and messy in this case. Perhaps the best way to present this question is to ask "What's the easiest way you can get from (7) to (x+k) = sqrt(-d) (8)
Greetings, Can someone please tell me why I am seeing this error. Thank you, > `mod` := mods; Error, invalid mod `mod`Typesetting:-mambiguous( Assign modssemi, Typesetting:-merror( "invalid mod", foreground = "[255,0,0]", mathvariant = "normal"))
Regarding my previous post in this forum "Help with a possible improper integral...". Can anyone provide some advice on how they go about plotting expressions that contain undetermined constants ? take for example the equation of a line: y =m*x+b. thanks, v/r,
Ok, another of my "how do you do this" questions: In solving a an equations such as: y''-4*y'+5*y = 0 I would like to show the roots; is there a function that will just pull the roots from the equation as written or do I have to write the equation like: m^2 + 4*m + 5 = 0 and use: solve(m^2+4*m+5); Thanks...
How do I get Maple to convert the output of the polar() to degrees with convert(arg, degrees)??? Does the polar() store the magnitude and angle values that is spits out into some variable somewhere that isn't documented? I can't figure this out right now; short of making a copy of the angle part of the polar()'s output to then be fed back into the convert(angle, degrees) statement. Help anyone?
I'm hoping someone can help me. I'm trying to find the equation of a circle using three points (2 outside points and the midpoint). I tried typing this from the Maple software help menu, but keep getting an error: > with(geometry); _EnvHorizontalName := m; _EnvVerticalName := n; > circle(c1, [point(A, 0, 0), point(B, 2, 0), point(C, 1, 2)], > 'centername' = O1); > center(c1), coordinates(center(c1)); Error, (in geometry:-circle) the coordinate names must be a list of two names Error, (in isassign) the first argument is expected of type name > My three points are actually (-4,-9), (6.7), and the center is (1,-1). I've worked on this for days, but can't seem to get anywhere. If anyone could help I'd greatly appreciate it!
Is there a way to redefine the way constants are displayed? I would like to have ODE results displayed with C1, C2... with 1,2 as a subscript? Thanks for any help you can offer.
Would anyone in forum community know of a legitimate online tutoring service that could provide help for me to learn how to use maple? If so, would you please send me the hyperlink to this service? I have specific questions that the tutorals already provided through maplesoft do not answer. Thank you.
Okay, here goes I am have some questions. I am solving the Mathieu differential equation whit a damping term, so the equation I am solving is: u''(x)+b*u'(x)+(a-q*cos(\Omega t))=0 Where I have a=0 and b=1,9, and whit the initial conditions u(0)=0 and u'(x)=1, this gives me the following: u(x) = exp(-9/10*x)*MathieuS(-81/100, 1/2*q, x) I would like to see for which values of q, that the function u(x) is in the interval [-20;20]. I can solve the problem by drawing some plots, but I still haven’t been able to solve it without. I know this is a long short, since you guys have so little info on the problem at hand, but any help will be much appreciates.
So I have a vector X that contains my least squares coefficients. How do I incorporate these coefficients back into a polynomial function automatically using loops or the like? Right now I have to define the funciton manually f:=x-> X[1]*x^3 + X[2]*x^2..... but I want to be able to quickly vary the degree of the polynomial without having to edit the function definition by hand each time. Any geniuses out there that can help me? Thanks, Matt
If f(x)=-4x^(2) and g(x)=2/x, find [g*f](x).
Implement a computer programme which, for a given function f(x), interval [a,b] and real numbers epsilon1>epsilon2>0, finds an approximation x~ from the inerval (a,b) with an error less than epsilon1 by bisection and, with x~ as the stating value, finds an approximation of this root by the second modification of tj=he Newton method with an error less than epsilon2.
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