This worksheet displays an ellipsoid internally tangent to the four sides of a tetrahedron.

The tetrahedron is a special case: it has a horizontal base with vertices A,B and C and its fourth vertex E is on the z axis.

However I have failed when trying to display an internally tangent ellipsoid in any other tetrahedron.

Will any tetrahedron support one or more internally tangent ellipsoids?

If so, are there conditions restricting the location of the mutual points of tangency?

Ellipsoid_in_a_tetrahedron.mw

Hello,

When I try to get the magnitude of the transfer function in the uploaded file, I get this error:

Error, invalid input: `simpl/abs` expects its 1st argument, a1, to be of type algebraic, but received [0.15000e8/(-0.2137457857e-6*f^2+(2.909554620*I)*f-(0.1565896548e-13*I)*f^3+0.152600e8)]
 

How do I get the magnitude and phase of this transfer function so I can plot it as a function of frequency, f?  If you can show me how to plot it, that would help a lot as well.

Thank you,

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/temp.mw .
 

Download temp.mw

In general, the Graph6 format is a graph format supported by major math software, so I used it as a transitional format.

When I try to read this graph6 string with Mathematica or Sagemath, unfortunately there are unrecognized problems.  Later, I found that when copying, there would be missing the backslash . 

I'm trying to figure out this problem of copying strings.

Dear Fellows, greetings

I am solving a system of equations under some assumptions and those assupmtions are a must to impose. However maple fails to apply those while solving the equations. For example solution 4 gives b=c as a solution but in assumtion it is clrealy mentioned that b<>c. Kindly guide me what mistake am I making in the code.

System_problem.mw

Hi

I have a list of records :

S := [`206` = Record(mu = 508.001018040, sigma = 125.002863204708), `4` = Record(mu = 1008.001018040, sigma = 167.707232430134), `2` = Record(mu = 1208.001018040, sigma = 141.512246146314), `5` = Record(mu = 808.001018040, sigma = 117.156800098735)]

How can I extract from S the mu and sd corresponding to a number.

eg input 2 get 1208.001018040,141.512246146314

like this:  rhs(S[3]):-mu, rhs(S[3]):-sigma, (I know from inpection 2 occurs in the 3rd slot but assume i don't know where it occurs). I tried using Search...
 

Suppose we have an unknown parametric function like g(x). We do not know the exact form but we know that g(x) is increasing and concave. Also, we define h(x) = g(x)*f(x) where we know the exact form of f(x) like f(x)=2x+5. Here, I want to investigate if the function h(x) is concave or not. How is it possible to do this?

Thanks

In this worksheet the solve command almost immediately gives up and DirectSearch[SolveEquations] is erratic.

For some triangle/inellipse points of tangency the latter provides a nonsense answer and for others it produces an almost correct solution.

Is there a set of conditions which determine the possibility of an inellipse within a triangle?

Inellipse.mw

A responder will have to establish a connection to the DirectSearch package.

To my knowledge, I think it should return 'true'. But in this case and many other similar cases, it returns 'false'. Sometimes after rebooting my laptop it gives 'true'. This made me crazy. Please help!

Hello there, 

Would you allow me to ask this one question?

What is the difference between 'map' and '~(element-wise operation)'?

The following worksheet snipped shows an example:

Maple Worksheet - Error

Failed to load the worksheet /maplenet/convert/Q20210612.mw .
 

I thought that both operations were the same, but seemingly they are not. 

Best Regards, 

In Kwon Park 

Download Q20210612.mw

Suppose that we have something like

plots:-animate(F,[theta],theta=0..2*Pi,background=plot([cos(t)-2,sin(t),t=0..2*Pi]),
scaling=constrained,axes=none);

I want to change the range of the parameter theta to something like theta=L[i],i=1..20.
Here, L is a list of numbers. Can I?
Thank you.

mapleatha

I 'd like to extract all items that contain "a" in an expression except "ab". What I can think of is to use the two functions select and remove to do it, but I feel a little less automated. Is there a better way?

 s := [a c, a]

Hello, I have a program which works fine in maple but get stuck when I use it in maple 2021 please I need your help thank you in advance

mpprime.mw

Hi all,

This is my first time working on a problem using Maple, and I've run into some issues regarding plotting my findings. After putting in the information for the plot (p:= plot([y₁], t = 0..56562.16837, y = 0.10]), I keep receiving the warning "Expecting only range variable t in expression y[1] to be plotted but found name y[1]. I attached the Maple worksheet below for more information, trying to work my way through plotting in Maple.

Worksheet.mw

Why is the minus sign so weak even in the bold font case? My students sometimes miss it in online tests.
How do we make the minus sign bolder?
Thank you!

mapleatha