Yang-Hui He

speaker
1,500 appearances 1 recordings 1 series first heard Jan 2025 last heard Jan 2025

Yang-Hui He’s voice in public audio — every appearance, attributed to the second.

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This one.
I've tried this with many audiences and you know after a few minutes of struggle, um you can you can get the answer and then this turns out to be the prime characteristic function.
So what I've done here is to mark all the odd integers.
And uh evens obviously you're gonna get zero, so it's kind of pointless.
You just odd just a sequence of odd integers.
And then it's a one if it's a prime, it's zero if it's not.
So three, five, seven, eight, and so on and so forth.
You've no, sorry.
Three, five, seven, nine, eleven, and you mark all the odd ones which are one.
Okay.
And you can probably after a while you can muck about in and you can you can see where where where this is going.
Uh the next sequence is much harder.
So I'm not I'm gonna give away so we won't have to spend like a couple of hours staring at it.
Um so this one is um the what's called the shifted Merbius function.
What this is just you take an integer and you take the parity of the number of prime factors it has up to multiplicity.
Uh starting from two.
I think I didn't start from one here.
Uh and then if it's it's one if it's uh if it's uh no so maybe I did start one i it's it's zero if it's um an odd odd number of prime factors.
It's one if it's an even number of of uh prime factors for all the a sequence of integers.
And I hope now I've gotten this right.
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