Then they grow exponentially.

Technology accelerates things exponentially.

Now how about exponentially cheaper?

And it builds up exponentially.

So I'll finish up with exponentially better.

But once angiogenesis occurs, cancers can grow exponentially.

So, we've seen computing going up exponentially faster.

It's exponentially improving. Now, exponential is an overworked word.

It's roughly uniform as you increase the scale exponentially.

All of this is driving exponentially growing economic progress.

Naive grows a lot faster in fact, exponentially faster literally exponentially faster than the bound on the running time is for Russian.

And it's sort of still on this exponentially increasing curve.

If I take 30 steps exponentially two, four, eight, 16

The human population is growing very rapidly and is growing exponentially.

But the trend in medicine actually is to get exponentially smaller.

E commerce has been growing exponentially. It's now a trillion dollars.

like 10,000, 11,000, 12,000 but exponentially 10,000, later 20,000, later 40,000.

Underpinning much of this is technology, and of late, exponentially growing technologies.

All those things I told you about myself would increase that exponentially.

After that first injury, their risk for second injury is exponentially greater.

And so we have to deal with objects that are intrinsically exponentially large.

Or at least part of our Saturday in San Francisco habits, grow exponentially.

Clearly the obesity trend is exponentially going in the wrong direction, including with huge costs.

The Kalman filter is the only filter that does scale exponentially, so it's very nice.

Well, sequential performance, so this is the performance of a single program was getting faster exponentially.

Ray Kurzweil and all the other talks we know that the stick is going up exponentially.

The price performance, bandwidth, capacity of communications measured many different ways wired, wireless is growing exponentially.

The number of points you need to get something close grows exponentially with the number of dimensions.

The particle filter is the easiest to implement, but the complexity scales exponentially with the number of dimensions.

If you put shame in a Petri dish, it needs three things to grow exponentially secrecy, silence and judgment.

Of course, the numbers of possible options are exponentially so huge, one cannot decide by purely considering the options.

So, you'll find that as the number of images in your environment and the number of images in your asset set start increasing exponentially, the management of that and drawing to the screen, is actually going to get exponentially harder as well.

If you've ever heard Ray Kurzweil talk about the future of society, you've seen these curves everything goes up exponentially.

Does memory scale linearly, quadratically, exponentially, or none of the above in the number of state variables used in localization?

The ability of one to affect many is scaling exponentially, and it's scaling for good and it's scaling for evil.

So if we start to think exponentially, we can see how this is starting to affect all the technologies around us.

And our goal was to assemble the leaders, both teachers and students, in these exponentially growing information technologies, and their application.

The histogram filter's biggest disadvantage is it scales exponentially, and the reason is any grid that is defined over arcade dimensions will end up having exponentially many grid cells in the number of dimensions, which is really unfortunate because we can't really represent high dimensional grids really well.

In certain incarnations, they clearly scale exponentially, and it is a mistake to represent particle filters over anything more than say 4 dimensions.

Not something we usually think about in the era of medicine, but hard disks used to be 3,400 dollars for 10 megabytes exponentially cheaper.

And so of course, radically unlike the real world, and like the Internet, the whole thing is expanding very, very quickly, and historically exponentially.

to understand the solution, it's useful to draw the exponential function. e⁰ is 1 and then it goes up exponentially to really large numbers.

It's a matrix whose value is maximum at the center of the matrix and whose value falls exponentially to the side of this matrix.

I think that's going to become completely possible as the amount of data we're producing and technology's ability to understand it both expand exponentially.

The global economy grows exponentially, at about 3 a year, consuming increasing amounts of non renewable fuels, minerals and metals, as well as renewable resources