relative to ground

So that first value, on this number line, so all of these are absolute values.

So they're all going to be positive values.

They just care about three things and three things only price, price and price.

Because the robot has a global heading direction,

Enable the minimum value alarm.

Enable the maximum value alarm.

Minimal Value is a hard limit

Then we'll go to negative 3, negative 2, 0, 1, 2, 3, and 4.

So both of these things evaluate to 8.

Velocities are 0 and 20 for the decrements of 2.

And what I'd like you to do for this quiz is fill in these 4 blanks.

I know your gut reaction is the natural log of y, which is correct, but there's actually a slightly broader function than that, whose derivative is actually 1 over y, and that's the natural log of the absolute value of y.

So we are stilil going to have a negative number

So let's say that we wanted to compare the absolute value of 2 to the absolute value of 3.

absolute

Shift to the right you get minus 1 times 2 plus 2 times 1 to zero.

The big residual is always value for money.

And we get 100 over here, which is minus 100 over here plus zero, which gives minus 100.

So this is going to be equal to the ( abs( 15) abs( 46) abs( 29)) and the reason why we are writing this. this might look fancy but this is really just the length of this purple arrow.

Now, you could integrate both sides of this, and you'll get the natural log of the absolute value of x is equal to the natural log of the absolute value of mu, et cetera, et cetera.

We're told to plot these values on a number line.

That's the idea.

6 Absolute Value

But the easy way to calculate absolute value signs, if you don't care too much about the concept is whether it's negative or positive, the absolute value of it is always going to be positive.

Then, I want you to fit a Gaussian using the maximum likelihood estimator.

These two numbers are exactly 2 and 1 2 away from 0, because both of their absolute values is 2 and 1 2.

So, let's say we were to ask ourselves how 9, the absolute value of 9 I should say, how that compares to the absolute value of

But anyway, that's the left hand side, and then that equals Well, this one's easy.

Because here, that obviously works for positive values, because the absolute value of x will be equal to x.

Absolute value of 10. or the absolute value of x, when x 10.

This evaluates to 9. 7 is exactly 7 to the left of 0.

2 times 8 is 16, minus 5 gives 11.

2 times negative 3 is negative 6, minus 5 gives negative 11.

But if you had some negative numbers here, you would actually say the absolute value of numerator is lesser than the absolute value of the denominator, for a proper fraction

With the appropriate definition of value, we would get the following formula, which is 77.

So each of these quantities, it looks like we have expressions inside of absolute value signs. and just as a bit of review, absolute value just means your distance from zero.

So you'd say that the absolute value of negative 3 is equal to positive 3.

You have to be in this range.

Then another 4 over here. Minus 4 plus zero is minus 4.

Because the alternative to pricing on cost is pricing on value.

You see, a pimp's love is very different from that of a square.

So if an x meets both of these constraints, its absolute value is definitely going to be less than 12.

Again, if it's 1, I'm going to make the corresponding pattern a key with value X.

And this'll turn the equation into do it in that same pink color the left hand side will still be 5 times the absolute value of x plus 3.