Let me use lowercase x to denote the input variables often also called the features.

I'm using z to denote data transpose x.

let me just denote this as theta superscript 1.

inaudible notation, I'm going to use (x, y) to denote a single training example.

let me, this is x.

I'm going to use this notation, h of x subscript i, to denote the ith output.

So let x equal the number.

Let me get rid of my little let x statement.

X subscript 1 X subscript 2 and so on to denote my, in this case, four features and I'm going to continue to use

So 0 may denote the benign tumor and 1 positive class may denote a malignant tumor.

Let me just not take an x.

Then let me draw my x axis.

Actually let me draw x, x we could draw as 2, 3.

And I'll denote that by capital I.

Let me, let me define a function as this f(x) is equal to x squared plus 1 if x is even and equals x squared minus 1 if x is odd.

Let me graph y equals x. y equals x. y equals x is that line right there.

So let x equal what I start with.

Let me draw my x axis right here.

So we can denote that with a transformation.

So let set this equal to a variable, let me call this x.

Let me call this x . If we call the measure of that angle x

Let me draw my x axis, just like that, that is my x axis.

And in order to explain some of the math, I'm going to use z to denote failure of transpose x here.

(X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Cast off everything (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Let your heart burn

(X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Cast off everything (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Let your heart burn

Let me to define let me say f of x is equal to x squared when, if x does not equal 2, and let's say it equals 3 when x equals 2.

Let me take the x out of that side.

Let me write this. x squared plus 4x over x plus 3 times x squared minus 9, all of that over x squared plus x minus 12.

So let me draw. x squared looks something like let me use a different color. x square looks something like this, right?

Let me draw the graph of f(x). f(x) is equal to x squared, or Y is equal to x squared, either one.

XiCV, YiCV to denote the i cross validation example.

An incredible surprise move regular expressions denote regular languages.

(Your heart will break within) (Your heart will break within) (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Cast off everything (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Let your heart burn (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Cast off everything (X!!!) Try to feel it (X!!!) Try to shout out (X!!!) Let your heart burn

If we substitute x squared in for y. x squared to the third power is x to the sixth. x to the sixth times x let me write that.

Let me think. three times x plus five is equal to eight times x plus two.

So let's let x, x is equal to the number that 150 is 25 of, right?

Well then I could say, let x be the price

So let's say that I have the function f(x) let me, just for the sake of variety, let me call it g(x).

So let me just define x diamond x diamond y and I'm going to define that as

So this would be let me switch to green we get x plus two, and since I'm using green, I'm just going to stay with green. x plus two, let me switch to orange. x plus two times x plus x plus two times three.

So let x be equal to the number of tiles purchased.

Let me do that. y is equal to minus x squared.

So we can write that x let me write that down.

Where as I am using A to denote this first term, and I am using B to denote that second term, may be without the

Gussian distribution is parameterized by 2 parameters, by a mean parameter which we denote Mu, and a variance parameter, which we denote by sigma squared.