The distance from the point to the surface easily calculated using the NLPSolve of Optimization package. If the point is not special, we will find for it a point on the surface, the distance between these two points is the shortest between the selected point and the surface.
Two examples:  the implicit surface and the parametric surface.
To test, we restore the normals from the  calculated  points (red) by using analytical equations.
DISTANCE_TO_SURFACE.mw

A man walks to different points.

I have to find the point that has a minimal length.
Perhaps through the Repetition Statement (for...while...do)

For the space curve in the linked worksheet, RadiusOfCurvature and Binormal give incorrect results. Why?

TNB_anomalies.mw

Please tell me if the above link doesn't work.

I have a function which calculates a number for [x,y] inside a matrix, which depends on the values surrounding said initial cell (from [x-1,y-1] yo [x+1,y+1]). However, for the values on the border, the idea is to go around to the opposite side, creating a Torus of the sort.
The solution I seemed to have found was to create 4 indices: 2 controled with 'for' and 2 which were modified accordingly to be used as imputs for the function:

x:=x0;y:=y0;
for r from x-1 to x+1 do
    print("r",r);
    for t from y-1 to y+1 do
        print("t",t);
        if r=0 then i:=N; else i:=r; fi;
        if t=0 then j:=N; else j:=t; fi;
        if r=N+1 then i:=1; else i:=r; fi;
        if t=N+1 then j:=1; else j:=t; fi;
        print("i",i);print("j",j);
        function(i,j);
od; od;
 

(the print commands are for the tests I have been running so see where the potential error lied).
If you run this script, you can clearly see for x0,y0<>1 that it works perfectly, even for x0,y0=N where it succesfully goes around and changes to 1. However, for x0,y0=1 it isn't able to detect that r&t=0 and so it doesn't change it to N; creating an error where it tries to find the value 0 of an Array.

Thanks in advance,
Enrique

how to read a jpg picture and draw mesh on it?

mesh generator in maple

how to get all points and lines from this mesh on jpeg picture?

How can i answer iv on Maple?

The problem I am trying to solve requires a significant amount of computation time. I am unaware if a solution to the problem exists. If a solution does exist, I only need one solution, not the set of every possible solution. Is there a way to restrict the solve function such that when (if) one solution is found, the computation halts and the solution is outputted?

In the present work it has been shown how Maple helps in the teaching of Mathematics in the different subjects that it has. Using a Maple worksheet as if it were a class preparation notebook could develop problems such as: Vector Analysis, EDO, EDP, Statistics, Algebra, Geometry, etc., among others; Taking as a method of solution the clickable-mathpopup, the right click (contextual) or at best embedded components. No criteria or prerequisite is needed to use Maple; Rather than being willing to forget the traditional slate and down and replace it with dynamic leaves that maple offers us; To achieve excellent academic profiles both individually and in groups. The proprietary methods are used to develop applications (math-apps) being a professional criterion; That is to say, according to the problematic reality, we are looking for enduring interactive solutions. Here we use the graphical algorithm and the block diagram as a solution proposal but not as something obligatory to implement solutions. We take as a teaching-learning measure the results of our students in the ability to analyze and interpret the results; Since in the times of calculation; Maple helps tremendously; Opening up this way to train students competent in basic sciences and engineering.

II_SEMINARIO_UNT_2017.pdf

In Spanish

Lenin Araujo Castillo

Ambassador of Maple - Perú

I can't seem to plot the second derivative graph for f'' versus y. Is it possible to use the fdiff command twice in a line?

Open to all opinions. Any help would be greatly appreciated :)

fyp3.mw

Hi

I have a set of differential equations which I have solved for a specific value, and would like to use the second answer (F__A(V)) in my next calculations

What command can I use to retrieve that value?

sol(0.1e-4);
     [V = 0.00001, F__A(V) = HFloat(3.498873118476744e-6), 

       F__B(V) = HFloat(1.9101126881523255e-5), 

       F__C(V) = HFloat(9.550563440761627e-6)]
 

Regards

how to define VertexWeight in Graph Theory package

Hello!

I am working in a simulation, which requires me to create a checkerboard of values which I paint afterwards according to its value. The idea is to create a sequence of images (which I could export for every iteration and create into a gif/timelapse afterwards). The problem I am encountering is that when I try to plot it, I only obtain a difuse coloring scheme, without having a specific color for every pixel.

if you search for the color command in plots (http://www.maplesoft.com/support/help/Maple/view.aspx?path=plot/color) one of the examples is more or less the result I want, but I would like to have it without the gridlines and being able to control the color according to the value of the matrix in said position.

My current attempt, and the one closest to the solution is:

R:=Matrix(1..N,1..N, datatype=integer); for x from 1 to N do for y from 1 to N do R[x,y]:=P[x,y,2]*18+P[x,y,3]: od: od:R;
#P is the matrix where I do the calculations and R is the matrix I want to plot after every step of the calculation.

surfdata(Matrix(R), 1..N, 1..N, style=surface,
         dimension=2, labels=["x", "y"],
         gridsize=[100,100],
         colorscheme=["zgradient",
                      ["Indigo","Blue","Cyan","Green","Yellow","Orange","Red"]]);
#the surfdata I resqued from another proyect I had. I know it is not thought for this tipe of grafs, but it was the closest I could come by.

I do not know if it is a better idea to use an Array or a Matrix to plot this. While the P array isn''t touched, I do not mind modifying in any way the R matrix

Thank you,

Enrique
 

after solve a set of equations, i got a set of solutions, [A,B,C], if i remove one of solution [C]

is it possible to find this removed solution from solutions set [A,B]

how to check the dependency of groebner basis or a set of polynomials?

emal := proc(zipeq,abc1param,abc2param,abc3param,abc4param,abc5param)
source1 := Prefix(zipeq);
print(source1);
source2 := subs(s=abc5param,subs(v=abc4param,subs(u=abc3param,subs(t=abc2param,subs(a=abc1param,source1))))):
print(source2);
zipplus := proc(mm, pp)
 return zip((x,y) -> x+y, mm, pp)
end proc:
zipstar := proc(mm, pp)
 return zip((x,y) -> x*y, mm, pp)
end proc:
return eval(source2);
end proc:
 

would like to do the Prefix first and then eval the prefix later but do not expect do define zipstar and zippplus in global

just want to eval this Prefix which is formula of zipstar and zipplus function

above result same as print(source2), but eval in return , it have not evaluate, why?