Hi,

For a pedagogical purpose, I am trying to build an animation that illustrates the connection between:

• the area under the curve of a probability density function, and

• the cumulative distribution function of a random variable.

The idea is to let a bound x vary and show simultaneously:

• the accumulated area under the density curve up to x;

• the corresponding value of the CDF .

My goal is to obtain a visual representation that helps students clearly understand that the cumulative distribution function represents the accumulated area under the density function.

Do you have suggestions on how to organize this cleanly in Maple, possibly with synchronized animation or an interactive visualization?

Thank you very much for your help.

Q_CDF_PDF.mw

Hi,

For a pedagogical purpose, I am trying to illustrate the orthogonal projection H of a point A on to a plane P1

I constructed the line l1​ passing through A and perpendicular to the plane P1
However, in the graphical visualization, the line does not appear to be perpendicular to the plane. Visually, it gives the impression that the line is not orthogonal to the plane.

Do you have any idea what might cause this effect?

Thank you for your help.

Q_Espace.mw

Hi,

I am trying to reproduce a polar curve, as shown in the attached picture.
I have tested several polar expressions and different plotting options in Maple, but I can’t manage to obtain an exact match, 

If you have any ideas about a possible polar equation, a combination of functions, or plotting parameters (sampling, domain, polarplot options, etc.), I would be very grateful.

Thanks in advance for your help!

Q_Polar.mw

Hi

I’m currently trying to animate a graph with about 50 vertices of this type, and I was thinking of using the GraphTheory package for that purpose.

If you have any suggestions or possible directions to explore, I’d be very happy to hear them.

Thanks again for all the helpful tips and support — they’re truly appreciated
 

Hi,

I’m trying to transpose an existing animation that connects the unit circle to the graphs of cos⁡(θ)\ and sin⁡(θ)\ into a complex-numbers visualization, so that students can clearly see the link between

z=eiθ=cos⁡θ+isin⁡θ,arg⁡(z)=θ,∣z∣=1

and the corresponding real/imaginary components.

Goal: a dynamic view where a point z(θ) moves on the unit circle in the complex plane while (simultaneously)

• the projections show ℜ(z)=cos⁡θ\  and ℑ(z)=sin⁡θ,

•  the graphs of cos⁡θ and sin⁡θ are traced against θ\,

• and/or the angle θ\ and argument are displayed in a clean, didactic way.

To better illustrate my objective, here is the link to the target animation I would like to transpose: 

Illustration

Thank you in advance for your insights and feedback.

Animation_Question.mw