Listen to native speakers pronounce “theorem” in real conversational contexts with synchronized timestamps and subtitles.
That's a very strange theorem.theorem.
And one day, he has 400 of us in an auditorium, 400 MIT freshmen in an auditorium, and he's teaching us a newtheorem, and we're not getting it.He can see we're not getting it, because he's looking at our blank faces.
You wrote down some axioms, and then you proved some theorems.Pythagoras' theorem helps you do it for Euclidean geometry.
Here's another example where you see the same thing.The theorem says that a point is guaranteed to be detected visible as long it is indeed visible and its curvature holds some thresholds.
and father genomes, if you will.Bayes' theorem is actually incredibly simple.
And so he said, "I need to make fun of him. I need to put in a comment system." And so, his friend when he saw the comment was like, "What the fuck?automated theorem proving. So I guess -- Oh, one last bit.
choice is being used and they don't want to use the axiom of choice, so they work out the consequences that's- that are possible without the axiom of choice or with weakenedour theorems in but I I mean, on the one hand, we want it to be as strong as possible. We would
and because it was solving a problem of more than 50 years old about the behavior of plasma physics.So "Theoreme vivant" it was.
it is that this position contains primes.- But that theorem doesn't work everywhere.
Whenever they happen to be asked different questions, their answer needs to disagree about 25% of the time.But Bell's theorem says that's not true.
Whenever they happen to be asked different questions, their answer needs to disagree about 25% of the time.Bell's theorem doesn't rule this interpretation out because the pilot wave theory is non-local, just like the Copenhagen interpretation.
Whenever they happen to be asked different questions, their answer needs to disagree about 25% of the time.It was Bell's theorem and bell's, subsequent tireless work that made studying the meaning of quantum mechanics respectable again, he showed that mere armchair philosophy
Whenever they happen to be asked different questions, their answer needs to disagree about 25% of the time.Bell's theorem, you know, says that quantum physics is in very serious tension with relativity on the issue of locality,
Whenever they happen to be asked different questions, their answer needs to disagree about 25% of the time.Bell's theorem proves it, but maybe there is a way out.
Whenever they happen to be asked different questions, their answer needs to disagree about 25% of the time.Doesn't bell's theorem prove that the two particles must communicate faster than light?
- The principle of conservation of energy is a direct consequence of time translation symmetry.In a theorem, Noether proved that all of these examples are no coincidence.For centuries, people had no idea where conservation laws came from.
So only when you look at timescales that big do you notice that energy isn't conserved.Noether's first theorem explains why a rock or a photon loses energy, but it didn't fully solve the problem of energy conservation in general relativity.See, so far, Noether had only dealt with an empty universe where you could shift the whole universe and the laws of physics would stay the same.
And since these transformations aren't global but local, these are called local symmetries.In a second theorem, Noether proved that for these local symmetries, you no longer get proper conservation laws like we're used to in classical physics.Instead, you get something that only works locally: a continuity equation.
But what if there was another way?Scherzer's theorem proof that a diverging, radially symmetric lens isn't possible.But if you're willing to give up on that symmetry, well, the theorem no longer applies.
It doesn't affect us.Learn your Pythagorean theorem.So let's not be bored.
Yeah, and it blew my mind as I was reading, just that mathematically, you can pretty much guarantee that if you followthe noisy channel theorem, you can transmit large bits of amounts of data really faithfully.So it's really incredible.
You wrote down some axioms, and then you proved some theorems.You have Pythagoras' theorem for Euclidean space, and you have Minkowski's equation for relativistic spacetime.
And I kind of joked to him and said, well, how long is it before you're going to have a piece of AI elected for havingproved a great theorem in mathematics to the Royal Society?And he said, watch this space.
It's an astonishing theorem.
according to the sampling theorem, the original picture.
The sampling theorem says, well, no, you should be able to sample at twice the highest frequency and visual flow.
"Fermat's Last Theorem" in the UK.
Bell's theorem is one of the single most profound and important results in all of quantum physics.
Ehrenfest's Theorem says, if I have a Gaussian sitting in a potential and I evolve it using the Hamiltonian-- solve the Schrodinger equation for the motion of that
There was a famous theorem that proved you can't have a perfect system based on some set of qualities that all sound good, and it was proven
Fermat's Last Theorem says that higher powers can't do that.
the 1755 theorem of Swiss philosopher Jean-Jacques Rousseau.
A sonnet or a theorem in geometry or Beethoven's first symphony is an unchanging, static reality
and because it was solving a problem of more than 50 years old about the behavior of plasma physics."Birth of the Theorem" is like-- in fact, it's the last chapter is the birth because that's publication for a paper.
and because it was solving a problem of more than 50 years old about the behavior of plasma physics.And then "Theoreme vivant," "Living Theorem," yes, that's more ambiguous.
and father genomes, if you will.So there's Bayes' theorem in big, neon letters.
The fundamental theorem of welfare economics, which you can find in micro theory textbooks, is a mathematical theorem that describes
That's a very strange theorem.That's a theorem. That's the free will theorem that I'm saying.
That's a very strange theorem.just my theorem. Simon Kochen is a colleague of mine at Princeton.
That's a very strange theorem.In the free will theorem itself, in the first version of it, we prove that subject-- well, I stated it
That's a very strange theorem.about the free will theorem because you want everybody to know and understand it.
"Fermat's Last Theorem" got me to write about Andrew Wiles and other amazing mathematicians.
The Pythagorean theorem was invented in India.
--talking about Fermat's Theorem.
What Noether's theorem essentially did was she pushed us back a step.
Like this. And we say, oh, yeah.And we learned the theorem, because he shocked us through.He used the fact that we were distressed, that we were uncomfortable, and he figured out a way to push us through that.
that the theorem will help prove the existence of God the cause.
you give it a theorem gives you a proof.
If the theorem has no proof, then maybe God knows what it will do. Okay, but but if you give it a theorem that has a
is an existence theorem about software.
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