I am using the RandomGraph() command from the GraphTheory[RandomGraphs] package to generate many random graphs of certain order (n) and size. The default labeling for vertices is based on the set {1,2,3,4,...n}. Is there a way to change the default labeling so that the vertices are labeled {v₁, v₂,...,v_n}? I know how define the vertex labels for a predetermined graph, but I'm looking for a way to automatically apply these labels to a randomly generated graph. Thanks!

Hi,

I am trying to randomly generate, say, 20 ordered pairs of 'noisy' data that have a correlation coefficient in the range 0.8 - 0.9. I've looked at certain command in the Statistics package, but I'm not finding anything that appears useful. Can this be done in Maple?

In trying to create a plot that shades the region between two concentric circles, I decided to try using the Picture procedure found here: https://www.mapleprimes.com/posts/145922-Perimeter-Area-And-Visualization-Of-A-Plane-Figure-

This is as far as I got.

Clearly, this is not what I want. I am probably missing something simple here. How can I get only the region between the two circles to be shaded?

Download shading_annular_regions.mw

Hi,

I am doing some analyses of autonomous DEs (single equation and systems). Maple is able to easily produce 2d- and 3d-phase protraits for systems. However, I am struggling to produce 1d-phase portrait for autonomous first-order DEs. I would like to produce a single axis with some labels and decorations which include the following:

1. All equilibrium/critical solutions of the DE.
2. Arrows on the axis indicating if the non-equilibrium solutions are increasing or decreasing in a certain interval.

For example, for dy/dx = -y^2*(5*y-1)^2, would like to produce the plot in the attached file. 

How might I achieve this?

1d-phase_portrait.pdf

I am trying use convert(46,ordinal) to generate ordinals such as 46th. However the command produces "46th". How may I remover the double quotes so that I get 46th? I've tried using parse but it often generates an error.