How to pronounce “vectors” in English

in the form of a matrix.And just like with vectors, you can change a tensor from one coordinate system to another, and the tensor stays the same.So that's why Einstein had to use them to build his new theory.

then 40 and then kids and then I start to, you know, change and maybe at some deeper level we are making a certain setI think all vectors are pointing in a direction that suggests that there are real explanations that it's not just

The ship kicked sideways, snapping my arm against the side of my seat.We changed vectors again, restraints gouging into my chest so hard it knocked the breath out of me.I wheezed, staring out the window as dust billowed past it.

you find out instead of expressing 48 chains, they only express 24.They're vectors. They're not independent.

you find out instead of expressing 48 chains, they only express 24.They're vectors that look like this.

you find out instead of expressing 48 chains, they only express 24.2,000 vectors. Because I don't want to be dealing with big matrices.

So there's a power operator-- which you see is a very similar symbol to the mathematical exponentiation, it just has a dieresis above it--That works on the vectors as it did before.

But I can also write this using a different coordinate system.And with these new basis vectors, the original vector is now written as 2a plus 1b.So the components, the numbers in this list, changed, but the vector didn't.

It stayed the same.And that's because when the basis vectors change, the components adjust in a complementary way to keep the vector the same.The vector itself is independent of which coordinate system you use.

numbers, but vectors. They have both a magnitude and a direction.So if you imagine writing those vectors as components in the x direction, y direction, z direction, then each component obeys F in the x directionis m times a In the x direction, et cetera.

It's like what nature did is just discover these neural processes that allow us to build models of the world and then just repackage themAnother property of sparsity is that sparse vectors-- so these are very high-dimensional mathematical vectors that are mostly zero--

is the most ethnically, racially diverse city on the face of the planet of any consequential size.So we say try each of these vectors.

you find out instead of expressing 48 chains, they only express 24.How many people know what vectors in Hilbert space are?

and you have to make a train connection, it's a serious headache.and observing it basically using motion vectors.

and you have to make a train connection, it's a serious headache.You're watching the ring with motion vectors-- yeah?

specifically the map requires not only information about places but also distances and directions. It needs tohave in one representation a set of vectors which actually code not for justthe location of the animal is currently uh occupying but what how that location

and father genomes, if you will.And they're called support vectors because they're the ones that keep the frontier where it is.

For the geekiest part of the audience, what you do is you take the polarization.And just like you could take vectors and decompose them in a part with no curl, and no divergence, and the part that has no divergence,we call the magnetic fields, or B in physics, you can do the analogous thing for these vectors, these polarization things, and two dimensions,

this question of how do you move people from Psych 101 lectures into you know roles the workforce important roles inwhy and what are the vectors of of transmission generally speaking uh one major difference is that higher

threaten life itself. They're distant, anonymous, and irreversible. It's maybe a way of thinking--and of course, you don't--you can have mid points of any of these and you can be at one endof the spectrum on one of these vectors, and another, and another. I think a lot of people at the beginning of their own philanthropy, tend--I think my own personal philanthropyis being very much in the small cube, right? You want things that are local, tangible, your college, your high school, your town, your symphony orchestra. And then some people

In addition to worrying about the magnitude of the forces, you also have to worry about their direction.So you end up with this chaotic mess of vectors.For the next hundred years, everyone who tried to solve this problem failed.

And the same thing happens with all the vectors.

also incredibly complicated and sophisticated and nuanced attack vectors.

- Yes. Humans are attack vectors. And if you have a distributed system that runs itself automatically, you have a

There's a little subtlety in this equation because if you look closely, the F and the a have arrow signs on top of them, indicating they're not justnumbers, but vectors. They have both a magnitude and a direction.So if you imagine writing those vectors as components in the x direction, y direction, z direction, then each component obeys F in the x direction

You wrote down some axioms, and then you proved some theorems.In spacetime, we have vectors just like we have vectors in space.

you find out instead of expressing 48 chains, they only express 24.And you try to keep the number of vectors in the basis by adjusting gamma so you don't need more than 1,500,

But they had the same guidance cues and flight path vectors in their heads up display, which were actually generated by the autoland.

and father genomes, if you will.In general, these are vectors in hyperspace.

I'm showing you these flies because they are vectors for the disease.

things like multi-dimensional scaling or finding Eiken vectors through higher quote dimensional spaces. But those, that, the arbitrary scaling of those different quote "dimensions" is well

A simple kind of tensor is a vector.You can write a vector as a set of components multiplied by their basis vectors.For example, this vector can be written as 3x hat plus 2y hat.

They figured out ways of doing so using ordered strings of numbers called vectors.

Let's take public datasets and identify how we can more clearly map vectors and then express that information to health care

You make-- eight points is enough to notate it-- or three points and three vectors.

you find out instead of expressing 48 chains, they only express 24.But basically, all of these Gaussians are vectors in Hilbert space, right?

and you have to make a train connection, it's a serious headache.OK. You're watching it with motion vectors, and suddenly it flashes.

And then I created a program that'll basically increase the angle between each two vectors by a certain percentage.

So there's a power operator-- which you see is a very similar symbol to the mathematical exponentiation, it just has a dieresis above it--So it's the plus reduction of the hypotenuse map on these vectors.

There are so many very, very grim probability vectors for the next 20 years.

Mathematically, we say that the gravitational field G is equal to the negative gradient of V.- So Lagrange had found a way to switch the problem back and forth between one of vectors and one of scalars.And while adding up vectors is hard, adding scalars is a piece of cake.

Now imagine taking all possible values of alpha simultaneously, and then averaging out all of those vectors.

And here, I would like us to think about at least-- at least-- eight vectors of Chinese global projection.

Then we used it to convert facial, essentially faces into strings of vectors

versus us say, we're going to expand into these vectors.

So it is a thing that I've learned by being involved on a couple of vectors.

you find out instead of expressing 48 chains, they only express 24.So the question, always, is-- how many vectors do I need to create all the other vectors as linear combinations of those vectors?

you find out instead of expressing 48 chains, they only express 24.And so by adjusting gamma, I can get very good coverage for a fixed number of vectors.

can name directions in color space. So we think of these as vectors within that space.