Create and study hyperbolic 3 manifolds

So what is this impossible hyperbolic structure?

Now, that is only a little bit hyperbolic.

RG Hanging cable takes on the form of a hyperbolic cosine.

So what is this hyperbolic geometry that corals and sea slugs embody?

It turns out that the natural world is full of hyperbolic wonders.

Can you give me a discount?

Can you give me a discount?

Can you give me a discount?

Can you give me a discount?

Can't you discount it a little?

And some people get 100 percent discount, and some people get 20 percent discounts, and some people get 50 percent discount, etc.

We give a 10 discount for cash.

Before hyperbolic geometry, mathematicians knew about two kinds of space Euclidean space, and spherical space.

And so, too, we've discovered that there is an infinite taxonomy of crochet hyperbolic creatures.

The saddle shaped structure is also known as a hyperbolic paraboloid surface, or an anticlastic surface.

Do they think I get a discount? she wondered.

Is there a discount if you pay in cash?

The discovery of hyperbolic space ushered in the field of mathematics that is called non Euclidean geometry.

It's a difficult theory to discount, I think you'll agree.

SP ... These four things. Prospect theory, hyperbolic discounting, status quo bias, base rate bias. They're all well documented.

We listen to differences, we discount sounds that remain the same.

Your initial order is subject to a special discount of 5 .

And that's exactly what happened when Daina Taimina in 1997, showed that you could crochet models in hyperbolic space.

The answer depends on two key variables the discount rate and future earnings growth. A lower discount rate and or a higher rate of expected earnings growth would justify higher equity valuations.

There's really no dispute about progress, if we discount the cost of that.

The fortuneteller says, I give smokers a discount because there s not as much to tell.

The liabilities were valued on the basis of a discount rate of 5.5 per cent.

The frilly crenulated forms that you see in corals, and kelps, and sponges and nudibranchs, is a form of geometry known as hyperbolic geometry.

The Double 12 discount extravaganza and the Christmas New Year shopping period come right after Double 11 .

Bulgaria from Level I to Level H Level H means 70 per cent discount for voluntary movement.

Latvia from Level I to Level H Level H means 70 per cent discount for voluntary movement.

Lithuania from Level I to Level H Level H means 70 per cent discount for voluntary movement.

Philippines from Level I to Level H Level H means 70 per cent discount for voluntary movement.

Poland from Level I to Level H Level H means 70 per cent discount for voluntary movement.

Romania from Level I to Level H Level H means 70 per cent discount for voluntary movement.

Slovakia from Level I to Level H Level H means 70 per cent discount for voluntary movement.

Each one is 30 dollars... with a discount I can give it to you for 150 dollars.

And this one that was in Kenya, they went around and distributed to people vouchers, discount vouchers.

Growing use by retailers of own brands and discount retailing have also been driving prices down significantly.

Czech Republic from Level I to Level H Level H means 70 per cent discount for voluntary movement.

For quantities of 20 or more, we can allow you a special discount of 10 on the prices quoted.

And the minute you tell me that boom! You know, I discount half of what you're saying from then on.

Discount that back to the present, at five percent over two million dollars for a stop sign, in each direction.

So, very interesting parallels between the biological and the engineering worlds. And interestingly, this turns out the stomatopod saddle turns out to be the first described biological hyperbolic paraboloid spring.