slightly less often than the other two groups and although the researchers didn't want to assign causality they conjectured that that could possibly be a performance anxiety that people were so stressed about wanting to get better because they don't want to let their friends and family down that it actually makes it harder for them to get better
uh what was going on in the Soviet Union based on fact not conjecture um and but but what was interesting is of course things always get ratcheted up in the world of warfare and Espionage and so while the CIA was working on this spy plane they were also aware that the Soviet Union was working
be unthinkable in 2021. There are many examples now, but there's a beautiful one that's on my mind. An 80-year-old mathematical conjecture. I believe it's called the Jacobian conjecture was solved very recently by a
Because it's-- we think-- the most important aspect of human capital, and the least discussed. My conjecture would be many of you would prefer if we lived in a meritocracy. And most of the people who are highly technically capable that I've worked with often
The preconditions for boredom are absent in adult life." "Now, what does this have to do with art? My conjecture is everything. The closest I have come as an adult to reliving the florid, boredom of childhood is when
So let's just look at some evidence. Consider the Poincaré conjecture. This is a legendary problem.
fill in the logical gaps and eventually, at the end, after they really reviewed it, declare that yes, he did it. He proved the Poincaré conjecture. But that's interesting because it took one person to write a proof and a global, multi-year intellectual mobilization to check it.
As you go up, the number line, primes become rarer and twin primes become rarer still. But the twin prime conjecture claims that there are infinitely many of them you never run out. But is it true?
it is that this position contains primes. through when the conjectures been open for.
Number theory is the queen's crown. And the Goldbach's conjecture is the pearl on the crown." - Shortly after, the teacher said, "Well, perhaps, one day, one of you kids will solve it." And then the whole class burst out laughing.
Number eight on that list was all about prime numbers, including Goldbach's conjecture. - Goldbach's conjecture was back on the radar. Only now, mathematicians started to look at the problem differently.
And as they point out in their own conclusion, "It is only proof that counts." - And that's about as far as they get for the strong Goldbach conjecture. But on the weak one, they have more success.
And for a while everything seems kind of chaotic, circling around the origin, but then, when alpha hits 1 over 6, the tail unwinds, adhere to Goldbach conjecture?
photon to get to your detector, and it says it's-- light travels at the speed of light. Now, if it were that if Einstein's conjecture was incorrect, you'd have a particle coming out at near the speed of light, it would be decaying into a particle traveling at the speed of light, then that particle should have traveled at, say, two times the speed of light or something like that, so it should have taken half as much time to get to the detector, but it doesn't.
But how fast does it go down? And the conjecture was that it goes down very, very slowly, like logarithmically, roughly speaking. And that was proved after a lot of work.
Of these seven, only one of them has been solved. The Poincare conjecture by Perelman. So the Kakeya conjecture is not directly, directly related to the Navier-Stokes problem, but understanding it would help us understand some aspects
The Poincare conjecture by Perelman. So the Kakeya conjecture is not directly, directly related to the Navier-Stokes problem, but understanding it would help us understand some aspects of things like wave concentration, which would indirectly probably help us understand the Navier-Stokes problem better.
This is the great square of books and films on two axes, the goodness of the book and the goodness of the movie. And the conjecture is that if something is in the lower left-hand corner, if it's a bad movie made from a bad book, you probably never hear about it.
So it's a confirmation bias example par excellence. He later went onto conjecture that the tides that we feel here on earth are caused by the rotation of the Earth on its axis and also the revolution of the Earth around the Sun.
the bombing if Thieu were still in office and might not if he weren't, if there weren't that continuity. That's conjecture on their side. What hardly is much less conjectural on our side is why Nixon could not afford a deal in which Thieu felt betrayed.
And that's good enough. Every single conjecture you can make about this formula based on these tables is actually true.
And I started to see them grow at the pace that they did. And I began to conjecture that we were seeing the emergence of a new way of organizing economic activity. And so I wrote the book to try and unpack what that new way of organizing economic activity is, what its economic impacts are going to be,
And his writings have been featured in "The New York Times," "The Washington Post," and Forbes.com. So it's our conjecture that every one of you is sitting on a massive and massively underutilized asset. And in fact, that in your future, when you look back at what-- economically and otherwise-- were your biggest leverage points,
So all that's conjecture on my part, but the words are actually true.
And it's conjectured that there are an infinite number of them.
I would conjecture that there's any number of different fields in which Bill McKibben could have built up a working life that he loved equally as much.
So I conjecture that in knowledge work fields , if you put systematic deliberate practice into what you do, you're going to find a separation from your peers
It's all conjecture at this point because there's so many questions we don't know around what's gonna happen above ground.
And, of course, the conjecture is that it does always happen, and that's known as the gold Goldbach's conjecture. - Chen's obsession with the conjecture goes back to his high school years, when his teacher stood in front of the class telling the students all about the sciences, and said, "Mathematics is the queen of the sciences.
The first dealt with odd numbers, and said, "Every odd number greater than 5 can be written as the sum of three primes." This became known as the weak Goldbach conjecture. And the second dealt with even numbers.
It said, "Every even number greater than 2 can be written as the sum of two primes." This became known as the strong Goldbach conjecture. They get their names strong and weak conjecture, because if you have the strong conjecture, then you've shown that every even number greater than 2 can be written as the sum of just two primes.
And then you can add three to each of those sums to get all of the odd numbers. So if you can prove the strong conjecture, you get the weak one for free. But the reverse is not true.
But the reverse is not true. If you can prove the weak conjecture, you still don't get the strong one. Now, after Euler reformulated these conjectures, he was so confident they were true, that he wrote, "I regard this as a completely certain theorem,
So we've got our H of N, and if we can show that H of N is at least 1 for every odd number greater than 5, then we've proven the weak Goldbach conjecture. But there are two issues with this approach.
One is getting new insights about new conjectures and new connections.
That's conjecture on their side. What hardly is much less conjectural on our side is why Nixon could not afford a deal in which Thieu felt betrayed. Because Thieu could reveal, probably with tapes, with tapes, that Nixon and Kissinger and Richard Allen,
And one of the things we conjectured is that because of this classical feedback loop, that certain types of coherent errors would be corrected by this procedure.
And that's good enough. And it is fun to make conjectures and prove them in that way.
And I discovered that there is some conjecture as to whether Arthur Schopenhauer actually said the quote.
It was a truly brilliant conjecture.
But I would say in conjecture that any career path would allow him to have a strong sense of autonomy and a strong
Because the true count can be anywhere in this range, and as you can see, a big swath of it is negative. So, to prove the conjecture, what we must do is we must show that this lower bound is always positive and growing. But that is where we run into a problem with the sieve we've been using.
It was in one of these letters, on the 7th of June, 1742, where Goldbach scribbled a line in the margin. It was not the exact form of the conjecture which now bears his name, but something related. "It seems that every integer greater than 2 can be written as the sum of three primes." Euler was intrigued
And for a while everything seems kind of chaotic, circling around the origin, but then, when alpha hits 1 over 6, the tail unwinds, - He was reading papers about the weak Goldbach conjecture, and new techniques that were being developed.
And for a while everything seems kind of chaotic, circling around the origin, but then, when alpha hits 1 over 6, the tail unwinds, But that's not the case for the strong Goldbach conjecture.
In fact, my conjecture, Peeyush, is that the future will likely be shaped by a bunch of such innovation hubs that will emerge over the next 5 to 10 years.
So you can have a very dispersed wave focus into a very concentrated wave at one point in space and time, but then it defocuses again and it separates. But potentially, if the conjecture had a negative solution, so what that meant is that there's a very efficient way to pack tubes pointing in different directions into a very, very narrow region of very narrow volume, then you would also be able to create waves that start out, there'll be some arrangement of waves
The why, I can conjecture-- this is conjecture.
And he had a bit where he would conjecture that maybe everything that actually shows up in McDonald's is made out of the same stuff.
"The study is to proceed on the basis of the conjecture that every aspect of learning or any other feature of intelligence can in principle be so precisely described