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In Vector Calculus there are excellent commands for finding the normal vector to a curve (PrincipalNormal and TNBFrame) but none for finding the surface normal vector. It is possible to display the surface normal vector using PlotPositionVector's normal option, but this is good for visualization only, and the vector can't be used for further calculations.

Am I missing something, or is this really missing form the package?

Two example problems to be solved:

with(Statistics):
Phiinverse := (x) -> Quantile(Normal(0, 1), x) :

evalf(Phiinverse(1-1/2^24));

and the result is 5.691523310-2.147372008*I

Now, I can get a real-valued solution to this by using the equivalent
functionality from stats instead of Statistics.

with(stats):
PhiinvClassic:= (x) -> statevalf[icdf, normald[0, 1]](x):

evalf(PhiinvClassic(1-1/2^24));

Hi,

My question is fairly straight-forward, I hope someone has an equally straight-forward solution. I would like to be able to illustrate the convergence of the distribution on the mean of i.i.d random variables to the normal distribution. For example, I'd like to visualize (by way of a histogram plot) that as n increases arbitrarily, the mean of n i.i.d. exponential random variables with mean 10 converges to a normal distribution.

Thanks!

How to solve this problem in maple?
Decide which of three lines given are tangent to the graph of f(x) at given points.
The function to define is f(x)=2x^3-4x^2+3x-5
The possible tangent lines are:
y = x - 5
y = 2x - 5
y = 3x - 5

1. What is/are the zero(es) for this function? In other words, what is the solution for f(x)= 0

2.  What axes values (x- and y- ranges) are appropriate for this graph?

3. When plotting each linear function with f(x...

I want to plot a random ... no, sorry, normal distribution of points around a line.  Let's supose we use the line sin(x) from x=0..2*Pi as an example. 

Dear All Members;

In my research I faced with this problem and I appreciate if any of you specialists be able to help me in this issue. I brought the question here:

question.pdf

Please let me know that is it possible to finde this derivative of Bi-variate Normal distribution in Maple? If yes, could you please help me to do this?

Sincerely; 

Pi^2*(c+(1+Pi)/Pi)^2+Pi^2)/((c-(-1+Pi)/Pi)^2*Pi^2+Pi^2);

                         2 /    1 + Pi\2     2
                       Pi  |c + ------|  + Pi
     ...

so i have a 2D curve f(x), i need to calculate end coordinates of both normal vectors, that are perpendicular to this curve at point x=a, with vector length=l.

simplest way to make it happen anyone?

thanks