Maple Questions and Posts

These are Posts and Questions associated with the product, Maple
Hi all I have a(x) and b(x), a(x) is only interesting from x=0..5 and b(x) from 5..10. How can I define those to into one c(x)? I guess I need the piecewise function, but I don't understand anything from the help file.. Can anyone please explain it to me, thanks.
i need to take a sphere and and graph a point going around the sphere. i have the code: restart: with(plots): with(plottools): x1:=(u,v)-> sin(u*Pi)*cos(v*Pi); y1:=(u,v)-> sin(u*Pi)*sin(v*Pi); z1:=(u,v)-> cos(u*Pi); x2:=(u,v)-> 3*sin(u*Pi)*cos(v*Pi); y2:=(u,v)-> 3*sin(u*Pi)*sin(v*Pi); z2:=(u,v)-> 3*cos(u*Pi); p1:=plot3d([x1(u,v), y1(u,v),z1(u,v)] ,u=0..1,v=0..2,color=blue, axes=normal): points:={seq([x1(k/50),y1(k/50),z1(k/50)], k=0..314 )}: display(p1); pointplot3d:(points); only i get the error Error, invalid input: x1 uses a 2nd argument, v, which is missing how do i put in arguments for u & v?
I had a new homework in maple but there is two questions that i have a hard time figuring them out. If somewone could help me it would be nice. 1. It says that E=L{v1,v2,v3,v4} (all vectors) where v1= (-5,3,2,0,1), v2=(0,-1,1,3,0), v3=(3,1,0,0,2) and v4=(1,4,4,2,0). Discribe E, which is a subset of R5 (and the teacher would like a description like this exemple: E={(x,y) ∈R2 ∣ 2x-3y=2} 2. A matrix: A := Matrix(5, 5, {(1, 1) = 1, (1, 2) = 0, (1, 3) = 0, (1, 4) = 0, (1, 5) = 0, (2, 1) = 0, (2, 2) = 4, (2, 3) = 0, (2, 4) = 0, (2, 5) = 0, (3, 1) = 0, (3, 2) = 0, (3, 3) = 52, (3, 4) = 0, (3, 5) = 0, (4, 1) = 0, (4, 2) = 0, (4, 3) = 0, (4, 4) = 7, (4, 5) = 0, (5, 1) = 0, (5, 2) = 0, (5, 3) = 0, (5, 4) = 0, (5, 5) = 3})
how do i expand [ln(1+x)]^2??? and find partial derivatives of functions
I'm generating fairly complex shapes and dumping the x,y,z coordinates of each point to a text file. The shapes have a high degree of spherical symmetry, so they usually look like a torus or ellipsoid. I've been using pointplot3d to plot the shapes using 'style=line'. The result is something that looks close enough to a wireframe plot. However, for my final thesis I will be submitting, I'd like to show the shapes opaquely (with hidden lines). Basically, the type of plot generated by: plot3d(sin(phi)^2, theta=0..2*Pi, phi=0..Pi,coords=spherical,style=wireframeopaque,color=black);
Hello everybody, does anyone know how to integrate the output of BsplineCurve in maple 8? I can plot it over a given interval, but if I try to perform the corresponding definite integral, I get the following error message: Error, (in int) wrong number (or type) of arguments as opposed to the output of the Spline routine, which can be integrated without problems. Thank you for your help.
Hello everybody, does anyone know how to integrate the output of BsplineCurve in maple 8? I can plot it over a given interval, but if I try to perform the corresponding definite integral, I get the following error message: Error, (in int) wrong number (or type) of arguments as opposed to the output of the Spline routine, which can be integrated without problems. Thank you for your help.
Hi everybody, is there any Maple package to deal with algebraic curves? The problem I have to solve is the following: my thesis advisor gave me a polynomial equation in two variables, which I know it is a Riemann surface of genus 0. As far as I know, there is a theorem which says that this surface is birationally equivalent to an elliptic curve. There should be also an algorithm which receives the equation as input and outputs the rational parametrization of the Riemann surface. Moreover, this algorithm should be available in a Maple package (my advisor told me this... the problem is that he does not remember the name of the package, nor the function!!!).
I have a small Maple library (created with march and savelib) that I want to distribute to some people. It seems to work fine, but if I zip it (with the idea of mailing it), the resulting zipped directory under windows seems to throw up security warnings and gets rejected by my outgoing mail client for being "oversize" although it is in fact small. Are Maple libraries so created just standard files or are they special in some way? I'd be grateful for any insight. Toby
Hello ! I need to create a graph of f(a,b,c) = 1+b/a*c, where "b" goes from 30 to 120, "c" from 0 and 30, and "a" would be from "b" to 220. (but if that part is too complicated, "a" going from 120 to 220 would be okay) The way I visualize this graph is like a typical 3d graph, with no animation, but with a special color mapping. Let's say my variable "a" would be on the x (horizontal) axis variable "b" on the y (depth) axis variable "c" on the z (height) axis then color of each point would be mapped to the result, f(a,b,c) How can this be done ? Thanks you very much !
I need help... I'm running the code attached below which has procedure sdef(). After obtaining results from it, I do a couple of substitutions Esc:=subs(b=b(v),Esc); Esc:=subs(v=w,Esc); at the very end -- but it turns out that NOT ALL b is substituted for b(v) and not all v is substituted for w in Esc. Been trying to understand what's going on for a day and could not... The code: > restart; > interface(showassumed=0); > > sdef:=proc(x) > global b,v; > local m, S, S1, S2, EStmp1, EStmp2, betasol, beta; > m:=1; > > S2:=t*(x+v)*beta; assume(beta>=0,beta
Hello, perhaps my question is really stupid but I cannot find any hints on the help pages (Maple 10): How can I find the lower and upper bound of a range, i.e, "a" and "b" from "a..b"? The following does work lower:=proc(r::range) min($r) end proc ; but is, of course, very inefficient for large ranges and only works for integer bounds.
Considering updating my old package COSVAM, which treats complex-octonionic-valued scalars, vectors, and matrices, first of all I want a much better type check of whether an expression is indeed a complex-octonionic scalar. A complex-octonionic-valued scalar is a linear combination over the complex numbers of the eight units of the octonions 1,e1,...,e7, say. So all the following expressions are valid examples of complex-octonionic-valued scalars
expr1 := 10;
expr2 := e1;
expr3 := e1*I;
expr4 := e1*cos(t)+e2*sin(t);
I have one awful, long way to solve the problem below, but I am sure there is also an elegant solution; unfortunately, it currently escapes me. Consider a rigid sphere of radisu 1 and center at 0 that rotates about its center. The angular velocity is omega(t) = Vector([ cos(t), sin(t), sqrt(3) ]). Does the path of the point starting at (0,0,1) ever reach the same point at a later time?
is there a way to get maple to perform simple logarithm manipulations i.e. ln(a*b^c)=ln(a)+c*ln(b) ? I've noodled around with the convert utility with no luck. I am trying to do a power law regression via the normal equation "showing my work". I have the answer using CurveFitting so I'm just trying to fill in the steps thanks
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