By this definition.

This is by definition.

This is by definition.

This by definition is the codomain.

Now, what is this thing by definition?

Now what was this thing by definition?

What is this vector x, by definition?

This right here, by definition, this is the matrix

This definition is by the World Health Organization.

And this is by definition of pivot entries.

This is by definition of a pivot entry.

So my domain by definition is this right there.

By definition, this squared must be equal to 2.

This was by definition of a matrix vector multiplication.

The determinant of this is ad minus bc, by definition.

And this, by definition, was equal to ad minus bc.

And by our definition for j, what does this equal?

There's only one absolute reality by definition, one absolute being by definition, because absolute is, by definition, single, and absolute and singular.

There's only one absolute reality by definition, one absolute being by definition, because absolute is, by definition, single, and absolute and singular.

It's definitely in here, and this by definition is the codomain.

By definition, if and only if I'll write it like this.

Just by definition, right?

This was a definition.

This was a definition.

This was our definition.

This was our definition.

By this definition, Latin America is coterminous with Ibero America ( Iberian America ).

This just comes from the definition of a 2 by 2 determinant.

So by definition, this thing is going to be your original thing.

And by now hopefully you would recognize that this is the definition.

Now with this definition of this and this is the most general definition of a Bernoulli Distribution.

These are equivalent, by definition.

So by definition, it's orthogonal.

Well by definition, if h is another inverse of f, this is true.

And, so what...By this definition of matrix addition what do we know?

This was a definition right here and then we made another definition.

This whole thing, by definition, this unit step function is zero until we get to c.

So this is a definition.

This is a definition again.

This is a function definition

This is just the definition.

remember this is a definition.

By definition our null space is all of the x's that satisfy this equation.

This, by the definition of matrix vector multiplication is equal to x1 times v1.

So if we know this angle, by definition, we know that angle right there.