I have a problem - i can't find standart Maple functions and procedures, that plot, so to speak, "phase portrait"-esque magnetic field lines for featured "vector field".
In details: i need to plot magnetic field lines and equipotential curves of uniformly magnetized cylinder. I have piecewise functions Hr(r,z) and Hz(r,z), (per se, r is x, z is y, y-axis coincides with cylinder axis):
L := 2; a := .5
I read data into Maple, and based upon that, wish to dynamically construct a piecewise function. In advance, it is unknown how many entries the piecewise will have or where the breakpoints are.
How can I work dynamically/programmatically with piecewise functions? Is there some documentation or concept I should know about so I can help myself on this? The only possibility I've found thus far is using the sscanf function, which makes it a little more complicated than necessary.
Being new to Maple, I have a rather trivial question for most out there. How does one plot x=ln(y) or any function x=g(y) to be more general? I have worked with implicitplot() as such, but it only feels like drawing a straight line for x=ln(y). Here is the syntax I used:
> g := y -> ln(y)
> implicitplot(g, x = -10 .. 10, y = -10 .. 10)
Does maple expect the assignment of the full equation (i.e. g:= x = ln(y)) in order to process inverse or implicit functions?
I'm obviously borking the syntax. I have searched through this forum and the help. Any information is thoroughly appreciated in advance.
about Poincaré conjecture brifely described : en.wikipedia.org/wiki/Poincar%C3%A9_conjecture
since there is a lots of mathematican in this nice forum , I think the discovery of Grigori Perelman is very hot subject for discussion ...
personaly i am so eager to know why he is the only one that could solve the problem ? and also what is the application and effect of this success ( maybe future ) ?
(working with maple since yesterday, so question might be elementary)
I have an ODE system with functions x(t,k),y(t,k), t is the independent variable, k is a parameter, as well as initial conditions.
What I am aiming at is a 3-d plot of the _derivate_ d/dt x(t,k) of the first solution of the system, and t and k as horizontal axes.
Hi. I recently turned over to maple 13, after using TI InterActive! for 2 years. But i am having som problems working with vector functions in maple.
Here is a link to the PDF file with the exercise in TI:
It's when i reach "Opgave 2d" that i get into trouble..
when i differentiate the r(t) function it just gives me an error..
"non-algebraic expressions cannot be differentiated"
And im just wondering wether there are other functions in maple to differentiate vector functions?
I´m fairly new to maple, so i apologize if this is a rather "simple" question, but right now I don´t really know how to get rid of the error message that occurs.
What I try to do is define 3 components of (in this case) a function that describes a magnetic field. These functions ( seen below) depend on a few parameters (a,b,c,d,p and chi).
> PlotMfield := proc (a::float, b::float, c::float, d::float, p::float, chi::float)
I have a relatively simple question that you can do by hand, but I want to know, if it is possible for MAPLE to compute directly with a single command if any 2 vector functions do intersect.
eg. r(t) = <cos t, sin 2t, exp(t)> s(t) = <sin t, cos t, exp(t)> , -2 < t < 2
thanks in advance
I have a multivariable function, F(n, g(1,0),g(0,1),g(0,2),g(1,1),g(2,1),...,g(n,1),g(n-1,2),...,g(1,n)), of indeterminates g(i,j) (omitting g(0,0) - in other words - let L = set of all pairs of nonnegative integers, (i,j), which satsify 1<= i+j <=n) of the following form F = product over all the (i,j) in L of g(i,j)^h(i,j) / ((i!
In the help, it writes
BesselJ and BesselY are the Bessel functions of the first and second kinds, respectively. They satisfy Bessel's equation:
2 2 2
x y'' + x y' + (x - v ) y = 0
These are the steps that I need to do
determine the domain and range of the functioon
determine the intercepts and asymptotes of the graph
locate the x-values where f'(x) and f''(x) are zero or undefined
then i need to determine where the relative extrema and the points of inflection occur (this i should be able to do if I can get the graph)
i have to know how to do this for two kind of function for a test tomorrow I missed all week because i was sick and we are allowed to use the software on the test.
here are the functions
i am trying to code a proc that tells me when a certain function is better than another. My proc works fine for functions that have a single crossing point but it does not seem to work for inputs that have multiple crossing points.
I am pretty new to maple so forgive me if i am asking a basic question.
I have created a simple loop to evaluate the sum of 1/(k^2)+3, for k from 1 to n, where in this case n = N*20. here is my code and it works ok (for N=1), i have checked with the built in add/evalf functions.
sm := 0: N := 1: n := N*20
for k from 1 to n do
sm := sm+(1/(k^2)+3):
Hi there, I'm trying to express the following expression
sin(c + I * (sin (d + k * sin(t)))
in terms of Bessel functions. I've been knocking my head against it trying to do it by hand for a while now and someone suggested maple could help.
Very likely there is a very simple solution to this question, but I searched Maple's help pages and this forum and didn't find a solution. Probably because I don't use the correct English terms.
given two functions
(1) X := x->f1(t);
(2) Y := y->f2((t);
witth t = -infinity...infinity; f1 and f2 arbitrary functions of a parameter t
How I can get the function
Y := x->f3(x);