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It's not random. Random is easy.

There was no reference.

When you're listening to this piece of music, I implore you

Any shortest path is going to be a simple path. Right. Why?

There will be no repeat occurrences... of last night's events.

And this is what we first got back from the very first set of submissions.

And that's a key component of beauty.

That motif occurs hundreds of times in the symphony hundreds of times in the first movement alone, and also in all the other movements as well.

We don't need any of these links in between.

That's actually an interesting mathematical question.

Well, most musicologists would argue that repetition is a key aspect of beauty.

Well, if we look at our regular expression, it's also valid that our first character is an a, so this probably means that this transaction is an a.

How many other people?

Even times odd is even, odd times odd is odd.

Odd plus even gives you odd.

Number of functions

Number of fractions

Math Functions

Hundreds of 'em.

So this repetition, the setting up of this repetition is so important for beauty.

And it makes sense you'd get Sierpinski's Triangle because when you add an odd number and an even number, you get an odd number.

So what can it be?

Number, Decimal Digit

Function Arguments

Number ,Decimal Digit

Math Functions

Order of the function

So I can just rewrite that as A so now A is not a function anymore, it's just a number A times the second derivative of y, with respect to x, plus B times the first derivative, plus C times y.

When you have a four bit symbol, you then put it together with another one sideways.

So even plus odd gives you odd.

The decline of violence is a fractal phenomenon.

So I still haven't answered what a hexadecimal number is.