areyousure
Joined 12 years ago
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Recent submissions
Comment · 7 months ago
The paper explicitly states that n is greater than 2, but the issue is whether a,b,c can be 0.
Comment · 10 months ago
I have wanted one general application of this idea in a spreadsheet. Specifically, I track some of my running, including speed (pace), distance, and time. Under different circumstances, I have exactly two of the three available and I want the third to be computed, but it varies which. I have found it fairly difficult to implement this kind of data entry in Google Spreadsheets and Excel, even know conceptually it's a very simple constraint "a*b=c" where I know some two variables.
As a more substantive comment: You may find the thesis "Propagation networks : a flexible and expressive substrate for computation" by Alexey Radul interesting. https://dspace.mit.edu/handle/1721.1/54635
Comment · 11 months ago
Vlad Tenev tweeted about it here: https://x.com/vladtenev/status/1994922827208663383
Comment · 11 months ago
In case anyone is curious, there is a discussion of AI in Section 5 (page 8 of the PDF). This direct link might work: https://arxiv.org/pdf/2511.14653#page=8
Comment · 11 months ago
> The real question is why they’re paying $100K per truck
> The test equipment can’t possibly cost more than $100K. That leaves $26.9M of “you’re doing something obviously wrong”.
It seems clear from the original text ("It costs $100,000 per certification") that it's the certification FEE that is $100k. For example, https://ww2.arb.ca.gov/sites/default/files/2024-08/mac202403... includes an individual base fee of $126,358.
Comment · 1 year ago
> Ask four mathematicians whether something is a Commutative Ring or not and they'll all agree.
Amusingly, there are at least 3 different definitions of commutative ring.
The principal issue is whether it must have a 1 (unity, ie a multiplicative inverse). Wikipedia https://en.wikipedia.org/wiki/Commutative_ring as well as most modern sources insist on this.
Britannica https://www.britannica.com/science/ring-mathematics#ref89421... as well as many older sources (such as Noether's original definition and van der Waerden) do not insist that the ring have a 1. Even first-edition Bourbaki didn't have 1!
Finally, if you do have a 1, then sometimes people include the condition that 0 != 1, ie the trivial/zero ring is deemed not a [commutative] ring. This is somewhat hard to find, but is relatively common among people who specifically define the concept of "ring with identity" (eg Zariski+Samuel). I have also found it unqualified (ie, just in the definition of "commutative ring") in the wild, eg in "Handbook of Mathematical Logic" by Barwise or "The Math You Need" by Mack.
(I agree with people like Conrad and Poonen that rings should have a 1. And I guess that the zero ring is in fact a [commutative] ring.)
Comment · 1 year ago
Suppose we designate a unit line segment, and from that we pick out a line segment of (what we now call) length 2 and separately a rectangle of area 3. To "an ancient" (like Aristotle), does it make sense to add the length and the area to get 5? If you then drew a line segment of length 5, would they say it has the same magnitude?
(My understanding is "no" to both questions.)
Comment · 1 year ago
You are correct that the Memorandum is rather short.
The promise to seek UN Security Council action is only in case Ukraine is attacked with nuclear weapons.
Comment · 1 year ago
Sadly, firms abuse odd lot rules to give people terrible prices: https://academiccommons.columbia.edu/doi/10.7916/2y01-1s13/d...
In example 3, the NBBO for stock ABC is 495--500, but there is also an odd lot offer for 497 on exchange. If a Robinhood customer sends a market buy order, then Citadel is allowed to fill it for 499.999 even though it's better to send to the exchange. (And if they then pick up the odd lot themselves, it's easy arbitrage.)
By the way, while you're correct about some of your claims, odd lot executions definitely have to occur within the NBBO. (How could it be otherwise?) Otherwise, in the example above, Citadel would give an even worse price!
Comment · 1 year ago
My research suggests that the majority of on-exchange trades are odd lots.
For stocks like SPY (those over $500 per share!), the vast majority of orders are odd lots.
This article is many years old and already has data strongly in that direction: https://www.nasdaq.com/articles/odd-facts-about-odd-lots-202...
Comment · 1 year ago
> You can't just go get 2 shares of SPY off the lits, so where dyou think those are coming from?
Why can't you just get 2 shares on an exchange?
Comment · 1 year ago
In case anyone was curious, I computed some popular margins of victory defined as (%popular vote of winner) - (%popular vote of highest other candidate).
I got the following small margins of victory smaller than the 1.5% in 2024, five of which are positive and five of which are negative.
-7.8% in 1824, 1.4% in 1844, -3% in 1876, 0% in 1880, 0.6% in 1884, -0.8% in 1888, 0.1% in 1960, 0.7% in 1968, -0.5% in 2000, -2.1% in 2016.
Comment · 1 year ago
In case anyone was curious, the interest being paid on the national debt is of the order of $1 trillion per year, while the amount collected in taxes (federally only) is of the order of $5.5 trillion per year.
Comment · 1 year ago
For those who didn't understand, this is a search result and its AI response:
https://www.google.com/search?q=no%20soot%20in%20the%20pyram...
Comment · 1 year ago
In case anyone was curious, Wikipedia calls the California Forestry Association a "timber industry lobbying group".