Multiply

Multiplication

Afterwards, we have about a dozen or so binary rules.

So we said, oh, well, that means that we're multiplying our original time domain function.

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We can divide both sides of this inequality by 3.

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So we get ? 6 cups of flour.

Plot them out on complex plane, and see what happens when you multiply them, when you divide them, when you add them, when you subtract them.

That minus two is here and this fourx is here.

Multiply, expressing the product in scientific notation.

We just substituted that for that to get this right here.

Now, we can just multiply both sides of this equation by minus thirteen over three.

These are just multiple ways of stating the same thing.

Let me switch colors.

But just understand that this is the same thing as this.

OK.

And we learned, up here, in this part of the video,

So we got a lot of twos

So this is just our integration by parts formula.

Burning lots of midnight oil.

Precedence and Associativity,

This means it takes less time to do our recursive walk and interpret it, and we have fewer multiplications.

Now if we multiply both sides by x plus 2, x plus 2 is a negative number.

So dividing by 1 2 is the exact same thing as multiplying by 2 1.

So let's do that.

And the reason is the math inside this sum is linear.

Well, the smallest number that is divisible by 4 and 8 is 8.

Let's do that.

Now there's one other really interesting thing about multiplication.

So you get equals x squared over a squared plus 1.

And then to square this we have to square the first term, which is 4a squared.

Those are all binary operators.

Enable Multiplication

And we're done.

Never have to worry about that.

And that makes sense because we scaled it by a factor of 2.

That's called dimension analysis.

This is equal to the integral from 0 to infinity. e to the minus st times e to the at, right?

I'm still not sure, when there are multiple operations, which one to do first.

But what this does is it allows us to get rid of the imaginary part in the denominator.

Well, we have a little bit of experience doing this.

Just a minute.

Oxygen, people.

In Standard mathematics, we'd want to do the multiplication first.