We refer in big history to these moments as threshold moments.

This minus 1, 2, 5, and 4.

let's look at the lecture based classroom, and let's pick the median performance as a threshold.

And I'm just showing this to you again because it's so nice.

From set A to set B.

A universe appears, an entire universe.

That's all it tells us.

This is the range right here.

That might maybe look like this, and if you now threshold this hypothesis at 0.5, you end up with a threshold that's around here so that everything to the right of this point you predict as positive, and everything to the left of that point you predict as negative.

Too hot, too hot.

The distribution changes to alive!

If it fails to find a better solution, it goes back to the original and decreases our probing interval.

And you know what?

But look at this closely.

You can see that actually they've crossed a different threshold.

And this is actually the range.

And I believe we count as a threshold in this great story.

Angle value in hours.

But look at this closely and you can see that actually they've crossed a different threshold.

Conventional wisdom held that everything was safe up to a point, a threshold.

In every case, when the number of visits to the state is less than the sum threshold, E, the exploration threshold.

So what is the distribution of all data points and just those that are higher than 1 sigma above the mean?

Or large scale fluctuations lifting the small ones even further.

Please select from the'Hours' section...

It's worth one beat in time.

So going back to the set of choices, Θ(n²) is what we're looking for.

That's something we can observe.

So if this is the set of numbers of the domain, this is set of numbers of the range, the function tells us how do we get from this number, some place in domain, to that number, some place in the range.

It's established policy. That's where that no such thing as safe radiation that comes from the linear no threshold hypothesis.

Here's the definition that there is some constant c₁ and c₂ bigger than 0 and a a threshold n₀ such that f(n) lies between c₁ of g(n) and c₂ of g(n) for all n bigger than the threshold n₀.

And in general, when you plot it on the xy axis, the domain is all of the x values that you're defined over and the range is all the y values.

What happens here is put in some value a and b.

They were asked to submit their best estimate how much I weight in kilograms, and also to submit how much they thought I weighed a year ago.

And in that case, the answer that it returned was always the correct answer.

This path, if continued, guarantees that we will pass tipping points

So in one level it went from something like 13 dollars to 266, literally in the space of four months, and then crashed and lost half of its value in six hours.

Finding the min is really easy right as the tippe top of the tree.

That's treated differently than stuff that sticks out of the ground, and even that is used as a landmark.

So, let's take 0.5, and so, you know, that's where the threshold is.

But here's the key thing you know, the other thing we found out is that the ice sheet passed a threshold, that the planet warmed up enough and the number's about one degree to one and a half degrees Centigrade the planet warmed up enough that it became ... that ice sheet became very dynamic and was very easily melted.

But by god, it was worth every minute of it

So the balance sheet is really trying to capture what your asset is worth at that point in time.

It's time! It's time. It's time.

The optimistic duration

The pessimistic duration