Is it possible to make notes above and next to a matrix like in the image above? How?

I'm sorry if this is really obvious but I'm new to Maple.

Thank you in advance :)

One of the forums asked a question: what is the maximum area of a triangle inscribed in a given ellipse x^2/16 + y^2/3 - 1 = 0? It turned out to be 9, but there are infinitely many such triangles. There was a desire to show them in one of the possible ways. This is a complete (as far as possible) set of such triangles.
(This is not an example of Maple programming; it is just an implementation of a Maple-based algorithm and the work of the Optimization package).
MAX_S_TRIAN_ANINATION.mw

Problems with incomplete worksheet.

I have saved a .mw worksheet, which i cannot open in Maple, and i get an error code:
"There were problems during the loading process. Your worksheet may be incomplete"

I have attached a link, where a user is helped with the same problem, but i cannot understand the solution there has been given:

https://www.mapleprimes.com/questions/125503-Incomplete-Worksheet

I have attached the worksheets, and would be so gratefull for any help:

Beregningsdokument.mw
Beregningsdokument_2.mw

Best regards

Henrik Jorgensen

Error, numeric exception: division by zeroprpblem_maple_2.mw
 

Download prpblem_maple_2.mw

A way of cutting holes on an implicit plot. This is from the field of numerical parameterization of surfaces. On the example of the surface  x3 = 0.01*exp (x1) / (0.01 + x1^4 + x2^4 + x3^4)  consider the approach to producing holes. The surface is locally parameterized in some suitable way and the place for the hole and its size are selected. In the first example, the parametrization is performed on the basis of the section of the initial surface by perpendicular planes. In the second example, "round"  parametrization. It is made on the basis of the cylinder and the planes passing through its axis. Holes can be of any size and any shape. In the figures, the cut out surface sections are colored green and are located above their own holes at an equidistant to the original surface.
HOLE_1.mwHOLE_2.mw

How to solve this DE by using  Differential transformation method?

diff(f(x),x$3)+1/2 * f(x) *diff(f(x),x$2)=0;

with boundary conditions

  f(0)=1 ; f '(0)= lamda * f ''(0)   and   f ' (x) -> 1  as x -> infinity
where lamda is some constant...

both_of_them_ac.mw

How to solve this DE with IC by using DTM.
D^m u(x,t)=u''(x,t)-u^2 (x,t), where n-1< m < n 

IC: u(x,0)=1+sin(x), and u'(x,0)=0

I have functions with sin(x) and  cos(x) terms with x values are degrees.

How to calculate sin(30 degree)?

How to insert degree symbol in maple?

Suppose evaluate  sin(Pi/2), my out put becomes sin(Pi/2)...How to solve this problem?

f(x):=1+B*x-(1/12)*B*x^3+0.1666666667e-4*B^3*x^3-4.166666667*10^(-8)*B^4*x^4+(1/160)*B*x^5+8.333333333*10^(-11)*B^5*x^5-0.5000000000e-2*B^2*x^2+0.1666666667e-4*B*x^3*C^2-4.166666667*10^(-8)*B*x^4*C^3+8.333333333*10^(-11)*B*x^5*C^4-0.5000000000e-2*B*C*x^2+0.3333333333e-4*B^2*x^3*C-1.250000000*10^(-7)*B^3*x^4*C-1.250000000*10^(-7)*B^2*x^4*C^2+3.333333333*10^(-10)*B^4*x^5*C+5.000000000*10^(-10)*B^3*x^5*C^2+3.333333333*10^(-10)*B^2*x^5*C^3+0.7291666667e-3*B*x^4*C-0.3333333333e-5*B*x^5*C^2+0.6250000000e-3*B^2*x^4-0.2083333333e-5*B^3*x^5-0.5416666667e-5*B^2*x^5*C;

How to plot f(x) with B and C are animation variables wih range -5 to 5?

I have a equation f(x) = 0.8680555556e-1*x*(3.262720*x^5*n[2]-.63360*x^5*n[1]^2+2.69184*x^5*n[1]-.480*x^3*n[1]^2+2.5920*x^3*n[2]+5.760*n[1]*x+1.920*n[2]*x^2+0.96e-1*x^4*n[1]^3+3.04320*x^4*n[2]-.5280*x^4*n[1]^2-0.32e-1*x^5*n[1]^4+.2976*x^5*n[1]^3-.1184*x^5*n[2]^2+.5376*x^5*n[3]-0.576e-1*x^4*n[1]+.576*x^4*n[3]-6.3360*x^3-6.96960*x^4-7.349760*x^5+11.520-.192*x^5*n[1]*n[3]-.7104*x^4*n[1]*n[2]+.2528*x^5*n[1]^2*n[2]-1.81824*x^5*n[1]*n[2])

with condition  f(0)=0,f'(0)=1;

How to solve this equation and how to find unknown parameters n[1],n[2],n[3]?

How to write this equation in maple?

g(k-r-1);

conditions:=

1.r from 0 to k, 

2.g(0)=1;

3.g(n)=0, where n not equal to 0.

Hey guys, I'm a new Maple user and I've been struggling to figure the collect command out.

I made a smaller example to show what I am looking for

I want to find out a way to use collect command and go from "c" output to "d", choosing the terms I want to be collected as common factors.

I'm also uploading the files if it's of any help, The one called question is the example in the picture above and final objeticve is the big expression that I`m trying to factor.

In the final objective file I'm looking for a way to make the "i" output be factored like this as:

Wi δ Wi (...) + Wi δ Wf (...) + Wi δ θi (...) + Wi δ θf (...) + Wf δ Wf (...) + Wf δ Wi (...) + Wf δ θi (...) + Wf δ θf (...) + ...

Thanks in advance

Download Final_objective.mw

Download Question_about_collect_and_factor.mw

Hi!

Assume that we have, in the cube C:=[-1,1]^N, for a fixed integer N>=2, a point X1  and   cosider the (closed) ball centered at X1 and radius R1:=0.6. Fixed an integer m>2, Somebody can indicate me how to compute the centers (belonging to C) and the radius of m disjoint balls with the above ball?

That is to say, compute points X2,...,Xm (in C) and positive numbers R2,...,Rm such that the intersection of the (closed) balls B(Xj,Rj) for j=1,...,m be empty. 

Some suggestion?

Many thanks in advance for your comments.

tittle.6.mw 
 

Download tittle.6.mw