notelonmusk

For mobile users :

https://pastebin.com/raw/ik8YPBhy

Bounds for sets with no polynomial progressions

Abstract:

Let P_1,..., P_m ∈ Z[y] be polynomials with distinct degrees, each having zero constant term. We show that any subset A of {1,..., N} with no nontrivial progressions of the form x, x + P_1(y),..., x + P_m(y) has size |A| ≪ N/(log log N)^(cP1,...,Pm) . Along the way, we prove a general result controlling weighted counts of polynomial progressions by Gowers norms.

[-1] https://arxiv.org/pdf/1909.00309.pdf

not the oc, but Karl Popper https://www.youtube.com/watch?v=ztmvtKLuR7I

> wtf is even the point of sending me the email than if you're gonna make it incredible difficult for me to find that particular question that i really need answered now?!

"Engagement" - corporate

LinkedIn used to be good. Now it's full of senseless notification spam and ads. Edit: And fake connection requests.

A similar link spam happened with comments on Hackerrank

> (...) The paths that lead to new ideas tend to look unpromising. If they looked promising, other people would already have explored them.

an ode to metaphorical basement dwellers and a warning to those roaming illuminated paths

  Nasreddin lost his ring in the basement of his house. He went outside and began searching. A curious passerby asked what he was doing. 
  "I've lost my ring" he said. "Where did you lose it?" asked the man.
  "In the basement of my house" he replied. "Then why not look for it there?" said the man. "Because it's dark in my basement, and I can't see a thing in there!"

> (...) But as with any hedge, you're decreasing reward when you decrease risk.

and a tool recently mentioned here for evaluating bets

https://en.wikipedia.org/wiki/Kelly_criterion

Rise of the Expert Beginner [0] https://daedtech.com/how-developers-stop-learning-rise-of-th...

Shaka, When the Walls Fell

Exciting research. Not my area of expertise. An opinion:

> without any knowledge of the game rules

I'd prefer 1000 times an AI that can explain to me why an opposite-colored bishop ending is drawish or why knights are more valuable near the center, and can come up with those and more new concepts/relationships/models on its own (regardless of whether we have given it the game rules or not), than a black box that is excellent at beating you at chess but you can't understand or trust. Adversarial examples (false positives) are supporters for this preference.

> I don't even know why this is a story.

I was going to call it gossip journalism but then Google corrected me

Does this apply to PhDs?

I can understand the value, but what exactly about nutrition to cover in one hour?

Since you mentioned sorting 'on paper', here's the sorting algorithm you'd use as a human sorting papers :)

https://www.quora.com/What-is-the-best-manual-sorting-algori...

Off-topic:

Since you left 'valuable' intentionally vague, I asked myself what the value of a piece of knowledge would be.

So I quickly came up with a simple model. Just take the integral of the value you get from this piece of knowledge over time, I thought. This helps you measure if a one-time payoff of knowledge A is better than the repeated payoff of knowledge B. Then I realized gauging value is more nuanced. How to model the value of things that are less tangible like insurance? The Heimlich maneuver may have a really high value in the case that my friend chokes, but very low value otherwise.

But this kind of knowledge is harder to focus on when we measure our knowledge by some simple value model. Surely you didn't expect an answer to "the most valuable thing you can learn in an hour" to be about what the best kind of insurance you should get?

There was a game that got progressively harder like this. But it didn't use AI, or space invaders.

Your ship was a blue triangle and the enemy was the green triangles.

Every new turn, the enemy would be a set of copies of all your movements in the previous rounds, with an extra ship.

Does anyone know the name of what I'm talking about or has a link?

An invisibility cloak makes a much better analogy for encryption.

Is there something like this for digital clutter?

Sorry, but how is that a proof?

It's not clear whether there is a number A with decimal expansion (a_1 a_2 ... a_k ) such that there doesn't exist a positive number X for which

   X ! = (a_{1} a_{2} ... a_{k}  x_{k+1} x_{k+1} ... x_{s} )

for some arbitrary length s in the decimal expansion of X! .

> I'm not sure what you're getting at

I'm sure what I'm not getting at, which is the proof. I'll think about it. Processing ...

The article's opening sentence: "Any positive number can be found at the beginning of a factorial..." is a strong statement but no proof is given.

Missing: "... with high probability, and supported by analysis of the digits of factorials from 1 to 10,000"

The work by Diaconis mentioned but not cited: [0] https://statweb.stanford.edu/~cgates/PERSI/papers/digits.pdf - The distribution of leading digits ad uniform distribution mod 1 - Persi Diaconis

The sequence: [1] https://oeis.org/A076219 - Smallest positive integer m such that m! begins with n in base 10 :: 1, 2, 9, 8, 7, 3, 6, 14, 96, 27, 22, 5, 15, 42, 25, 89, 69, 76, 63, 16, 87, 113, 54, ...

> Despite the prominent stream of thought on this site, no particular technology is in itself "inevitable."

And what's your argument?

If the technology represents a big advantage to a group of people, history shows that is what eventually happens.

So yeah we could choose not to invent spears or choose not to invent metal armor, or choose not to invent gunpowder, or...

> what's the moral justification for making this illegal?

You got a number I can send you the answers to? \s

Annoyance is one thing.

Weaponization is another.

Can Ads Read My Password?: https://news.ycombinator.com/item?id=20638662 for example. Malvertising for another. Fingerprinting...

In my days they called these Cheval de frise

[0] https://en.wikipedia.org/wiki/Cheval_de_frise

Devil's advocate. Maybe it doesn't seem like a big problem to those you mention since most of people scammed don't report it? But the prevalence should speak for itself, and this cancer feeds itself.

Who takes care of a crime if the perpetrator is in a different country or online?

The only way in my mind to grant your wish would be if you owned the storage of your credentials. Otherwise you're just moving trust to another entity. I'm not an expert.

Either way that clause showed a hint accountability from Amazon that I haven't seen too often. Not that I've spent much time comparing ToS either.