How to pronounce “geometries” in English

The first four postulates or axioms are like the minimum rules required to play that game, and then the fifth axiom selects the universe that you wanna play in.All of these geometries are valid.

Tyler Cowen pointed out that there are two ways that a dish can appear on the menu.We looked at a couple of geometries.

Tyler Cowen pointed out that there are two ways that a dish can appear on the menu.So I looked at a few geometries.

And after eight years in the Polytechnic, was for me a transcendental seven-- eight years in the Polytechnic, I finished with a doctorate.More in a path of geometries, and so.And then after that, I started working.

statements saying that our universe might actually correspond to par aparticular one of these various geometries that had previously been imagined only bymathematicians now here again I'm we're mixing conceptions of fourth dimension because that's the other thing that

That's the idea of a horizon.And you have radically different spacetime geometries and what would look to us like drastically different

it's the best interface for a city, and bicycling. It's also a phenomenal invention; doesn't need much more. So, we privileged that and we also give the road a bit of intelligenceand work on creating new geometries for industrial design uses. In this case, you can imagine making leather belts or leather shoes from cells that you print, where no creature is

You wrote down some axioms, and then you proved some theorems.smooth, uniform geometries, either perfectly saddle-shaped, negatively curved with the same geometry everywhere,

on no I like I like your train of thought I mean it's sort of it's it iswhat I was saying when those geometers imagined geometries that were not ukianthat were different shapes they weren't they knew that they weren't necessarily making a statement about the world they were

That's one of the US instruments from Alan Stern and SWRI.You need to be able to identify all of the correct geometries.

This wind tunnel facility can get up to about Mach .2, so 20% of the speed of sound.- Typically this wind tunnel is used in the development of advanced wing geometries for innovative sustainable aircraft design.But today, it's being used for football.

In Dakar, I'm working with the World Bank to kind of put their infrastructure directly in the continent and not just have it in America,And we're then going to be able to make in the 21st century geometries that you could only imagine as drawings in the way

and uh the one sort of the precursor of the crisiswas in the beginning of the 19th century people discovered non-ucuklitian geometries okay and this uh this wasvery destabilizing okay because uklitian geometry was the

really got a boost from the fact that suddenly there this new vigorous form of plate tectonics.- So it's nice to have turmoil in terms of temperature, in terms of surface geometries, in terms of the chemistry of the planet, turmoil.- Yeah, that's actually really true because what happens is, if you look at the history of life, you know, it's a excellent point you're bringing up,

through the part, and so we've got a very stiff material.We've got other ones that have the exact same density, but by having different internal geometries, we have a huge range in the effective stiffnessof these parts. So by being able to selectively control internal geometries during this 3D printing, we can do a lot of things

We've got other ones that have the exact same density, but by having different internal geometries, we have a huge range in the effective stiffnessof these parts. So by being able to selectively control internal geometries during this 3D printing, we can do a lot of thingswith the same material.

So when you warm it up, it won't fatigue unless you stretch it pass this endurance limit.I think there's a lot of need for-- especially as we get to some of these complex internal geometries that we've passed out, there are a lot of very sophisticated

So when you warm it up, it won't fatigue unless you stretch it pass this endurance limit.algorithms that can generate fractal-like patterns, that can generate complex internal geometries, that can map, let's say, a finite element model

What is hyperbolic geometry or hyperbolic space?Well, it's an alternative to the two kinds of geometries you're already very familiar with-- Euclidean geometry or Euclidean space, and spherical space.Now, there are lots of ways of characterizing these spaces, but one way is to look at the curvature of them.

helps us to articulate what we're seeing around us.But the other side, I saw that mathematics is actually very creative, that sometimes you could make geometries, for example, that don't match what we see around usphysically, create number systems that were kind of their own world.

But at the end of the day, instead of providing materials, or providing printers, we're really working with large companies to provide solutionsto underlying problems. So for instance, with Halliburton, they've got some needs for very specific geometries in their downhole completions team.So they need plastic parts that can essentially help keep wells open or help close up wells.

So that's maybe arguably the more expensive part here at the ends, where we've been able to photolithographically define complex geometries