Let me put the Laplace transform of and I'm also going to the sides.

And if you replace this expression everywhere, where you see an x, right?

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Regular expression that is to be replaced.

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So this is the same thing as 9.1 times 3.2, and then I'm going to re associate, so I'm going to do these first.

That's s times the Laplace transform of f of t, minus f of 0, right?

Then there's an arrow, and then on the right side there's a replacement.

What's going on here is that this random permutation combined with the permutation of the prisoner's names in the boxes gives you a permutation of the prisoners, which is a uniformly random permutation.

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Transform symlinks

And actually, I'm going to do that right now.

This expression is just another way of writing this expression.

Now, since we want to apply this to an integral, maybe

That's equivalent to the absolute value for 5.

Here I've taken our expression grammar from before and updated it with a new rewrite rule.

It seems very hard to evaluate this integral at first, but maybe we can make some form of a substitution to get it into a term that we can appreciate.

So, 50 is smaller than 56 but not in 26.

From here we can do print 4.

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First, I'd like to point out that there was a slight error in the path used in Sebastian's code.

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Everywhere that we saw an x, we will now replace it with a z.

Because we were able to write it as a function of y divided by x.

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And now we can use this, which we proved several videos ago, to resubstitute it and get it in terms of the Laplace

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If we find it, then we're going to replace our string with a new string, which is the first part of the string up to the position, not excluding it the start position of our match.

Remember, the Escaped versions of strings render as the unescaped versions in the form.

last modelling matrix in the chain. The M matrix represents all the transforms needed to get the object into world space.

But we're making this substitution that v is equal to y over x.

But we can figure out what h of 10 is pretty easily.

We can replace the B oh, I forgot to add that.