This is Virus's move to split us.

In this video, we'll be giving a running time analysis of the merge sort algorithm.

Each time we're doing part of the sum here, we're actually saving ourselves a tremendous amount of effort.

Now let's get to the meaty part of this lecture, which is, okay, so merge sort produces a sorted array.

And the first one we're going to focus on is called the Divide and Conquer algorithm design paradigm.

It only has to be done once so you're saving yourself half the effort every time that you do this, half keeps compounding and that's how we get down to algorithmic number of steps instead of a linear number of steps.

So first of all, throughout these online courses, we'll see a number of general algorithm design paradigms ways of solving problems that cut across different application domains.

It seems that the government wants to separate these three.

And it set up a governing structure where the executive was essentially this group five directors.

Why did they go to the trouble of creating a new one?

And their sovereignties, cross cutting, globally interlinked, can in some ways challenge the sovereignties of nation states in very exciting ways, but sometimes also act to project and extend it at a time when control over what people can and cannot do with information has more effect than ever on the exercise of power in our physical world.

The king rules over the country.

It needs a means by which you can legitimize international action.

People really want to know about administrators, things like that.

I'll introduce Big Oh notation and its variants, explain its mathematical definitions, and give a number of examples.

Words like council, marriage, sovereign, govern, damage, and parliament.

This is not a time right now for wishful thinking that the government is going to sort things out.

But if we use this non trivial Divide and Conquer approach, or non obvious approach, we'll get a, as we'll see, a much better running time than this quadratic dependence on the input.

Subdivisions

Subdivision

Spain once governed the Philippine Islands.

He is now the leader of the island.

During the reign of King Rama II of Ayuthaya.

But these English speaking settlers a lot of them were slave owners

You see, we hear a lot about transparency these days.

The regional governors now have direct control... over their territories.

Rules of Thirds

Color separations

Split Vertical

Split Horizontal

Splitting 5.

Statistics textbooks, whether they're in Psychology, or Economics, or Sociology, or

That's Norway, the richest country in Europe. It's Australia. It's Canada.

Now, this is what I have described to you.

Golden Mean

Golden sections

Multi segment

Pattern

Split Audio Track

Split Track...

Cell division

DivineProportion

Break at point

Break at segment

Break subpath