## is(EllipticK(1) = infinity)...

I came across this question while trying to verify the equality of expressions containing elliptic integrals.

That's what Maple returns for

However

 (1)

 (2)

indicate infinity.

 (3)

 (4)

I have no experience with elliptic integrals. Can I assume in this case that infinity is correct?

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## Maple Calculus Study Guide displays in Maple notat...

I am using the Calculus Study Guide and the mathematical notation is half Maple notation and then half typeset notation. I have tried to tweak with Tools>Options>Display settings but it stays the same

For example:

{a[n]}[n = n[0]]^infinity;, where
"a[n]"

is the general term for the sequence, and
"n[0]"

is the starting index.
The notation is often shortened to {a[n]}; to save printing costs.

...and the math notation past the word "where" is in typeset notation but changed to Maple Notation when I cut and pasted.

## When I plot the function 2/cos(t) using polar coor...

I'd like to plot the graph in polar coordinates of the function r=f(t)=2/cos(t), which should be a vertical line parallel to the y-axis. I've tried it with two different commands, and below you can see the results

plot(2/cos(theta), coords = polar)

What is going on here?

I then tried using polarplot from the plots package.

with(plots):

polarplot(2/cos(t), t = 0 .. 2*Pi)

Shouldn't the graph be a vertical line at 2?

Notice that if I plot two similar plots

polarplot([1/cos(t), 2/cos(t)], t = 0 .. 2*Pi)

The same result is obtained

What is going on here?

## How to sort a list of column vectors based on thei...

`DrawSubgroupLattice(SmallGroup(200, 31), labels = ids)`