There's M data points.

There are a few key points.

There is 5 data points.

Those data points are critical.

What are our data points?

The sum of all data points divided by the total number of data points.

These are the corner points in our data points.

Given all the black data points,

Suppose we have 8 data points.

Sorts an array by key, maintaining key to data correlations.

There's M data points, X1 to Xm.

Suppose you're given the following data points

I think there are probably three key points here.

We'd like to generalize over more data points.

Sorts an array by key in reverse order, maintaining key to data correlations.

But keep in mind some key points about UI design.

The data points that are closer together have microbial communities that are more similar than data points that are far apart.

So, here is the scatterplot for those data points.

The best centers of clusters representing those data points.

So these are three mean and normalized data points.

So 9 degrees of freedom for our 10 data points.

Suppose we're given 3 data points and 2 cluster centers.

For each of these, we have 10 million data points.

Our red cluster center has only 2 data points attached.

And again here are the data points with the solution.

It's four because there are four data points over here.

So, this is the data. This is the laser data, but a million points per second.

And we might be given a total of M data points.

With 60,000 data points, you're scatter plot may look like this.

It's 5. Because you have multiple data points, the probabilities multiply.

And further, the data points that belong to the same class

B seems to go to a minus infinity much faster than these data points and to plus infinity much faster with these data points over here.

And here it is for the growth of a rat, and those points on there are data points.

You've got wide ranges and you've got tons of different data points,

Suppose we're given the following data points in a 2 dimensional space.

And in the columns, I graphed the exact same 9 data points.

Yet the affinity to all the other data points will be low.

And of course, the same is true for the blue data points.

There's an x variable, y variable, and we have four data points.

We have 1, 2, 3, 6, 9, 10, 11 data points. Median value will be the 6th data point.

We have 10 data points, which means we have 9 degrees of freedom.

And finally from 31 to 40, it is the remaining 5 data points.

This gives us a very nice basis to fit Gaussians to data points.

let's see if we can group all these different data points into clusters.

So roughly, we have 50 million data points for a given human brain.