The paper explicitly states that n is greater than 2, but the issue is whether a,b,c can be 0.
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…
Vlad Tenev tweeted about it here: https://x.com/vladtenev/status/1994922827208663383
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
> 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…
> 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…
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…
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.
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…
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…
> 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?
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…
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.
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...
In case anyone was curious, Wikipedia calls the California Forestry Association a "timber industry lobbying group".
https://www.mersenne.org/primenet/ suggests 127 PFlop/s average over the last month, which would put it in the top 10 on https://top500.org/lists/top500/2024/06/ I used a random estimate online for computing cost which…
Do operating system accessibility controls help you distinguish the colors? For example, both Windows 10/11 and MacOS have "color filters". https://support.microsoft.com/en-us/…
ln(5) ~ 1.6094379 is much closer, differing by about half of a percent of a percent.
Today around 9am (Eastern time), Robinhood retroactively canceled all orders filled(!) between 1:45am and 4am.
That paper does not prove that Sokoban is NP-hard. It does, however, cite an earlier paper proving the stronger result that Sokoban is PSPACE-complete: Culberson, Joseph. "Sokoban is PSPACE-complete." (1997).…
In case anyone was curious, the 2011 Virginia earthquake was magnitude 5.8: https://en.wikipedia.org/wiki/2011_Virginia_earthquake
> But the terminology is a bit confusing because aerodynamic lift is a byproduct of air being a compressible medium, whereas water is not. Maybe lift means something different when we're talking about water? A…
The page https://en.wikipedia.org/wiki/Basilica_of_Saint-Denis states > Although known as the "Basilica of St Denis", the cathedral has not been granted the title of Minor Basilica by the Vatican.
Your number "3.5%" refers to US military spending as a proportion of GDP. The original number "5%" refered to NASA spending as a proportion of the federal budget. These baselines currently differ by approximately a…
In case anyone is curious, they are welcome to read the following UN Security Council resolution that was vetoed by both China and Russia: https://documents-dds-ny.un.org/doc/UNDOC/GEN/N23/320/92/PDF...
The paper explicitly states that n is greater than 2, but the issue is whether a,b,c can be 0.
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…
Vlad Tenev tweeted about it here: https://x.com/vladtenev/status/1994922827208663383
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
> 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…
> 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…
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…
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.
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…
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…
> 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?
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…
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.
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...
In case anyone was curious, Wikipedia calls the California Forestry Association a "timber industry lobbying group".
https://www.mersenne.org/primenet/ suggests 127 PFlop/s average over the last month, which would put it in the top 10 on https://top500.org/lists/top500/2024/06/ I used a random estimate online for computing cost which…
Do operating system accessibility controls help you distinguish the colors? For example, both Windows 10/11 and MacOS have "color filters". https://support.microsoft.com/en-us/…
ln(5) ~ 1.6094379 is much closer, differing by about half of a percent of a percent.
Today around 9am (Eastern time), Robinhood retroactively canceled all orders filled(!) between 1:45am and 4am.
That paper does not prove that Sokoban is NP-hard. It does, however, cite an earlier paper proving the stronger result that Sokoban is PSPACE-complete: Culberson, Joseph. "Sokoban is PSPACE-complete." (1997).…
In case anyone was curious, the 2011 Virginia earthquake was magnitude 5.8: https://en.wikipedia.org/wiki/2011_Virginia_earthquake
> But the terminology is a bit confusing because aerodynamic lift is a byproduct of air being a compressible medium, whereas water is not. Maybe lift means something different when we're talking about water? A…
The page https://en.wikipedia.org/wiki/Basilica_of_Saint-Denis states > Although known as the "Basilica of St Denis", the cathedral has not been granted the title of Minor Basilica by the Vatican.
Your number "3.5%" refers to US military spending as a proportion of GDP. The original number "5%" refered to NASA spending as a proportion of the federal budget. These baselines currently differ by approximately a…
In case anyone is curious, they are welcome to read the following UN Security Council resolution that was vetoed by both China and Russia: https://documents-dds-ny.un.org/doc/UNDOC/GEN/N23/320/92/PDF...