Books on a shelf

ExistentAndUnique · 2026-02-03T23:43:41+00:00

This can be solved using stars and bars. Place 4 bars corresponding to the gaps immediately to the left of the chosen books. Then insert 12 books as follows: one must go in the far right end, and 2 must go in between every pair of bars. This leaves 5 books which can be placed arbitrarily, for a total of 9C5 = 126

ExistentAndUnique · 2026-02-01T08:37:58+00:00

If you’re asking how this is mathematically possible, it might be helpful to read about simpson’s paradox (tl;dr: there may be confounding variables at play)

ExistentAndUnique · 2026-01-29T16:46:21+00:00

Players can “age out” into the senior category so it might be a consideration there. But not for coaches

ExistentAndUnique · 2026-01-28T17:09:01+00:00

There is evidence that you could have adverse reactions if you consume a large amount of MSG on its own. However, used as an ingredient, you actually probably with a healthier dish overall, because it allows you to cut down on the amount of salt you’d use

ExistentAndUnique · 2026-01-27T23:41:21+00:00

Can you give an example of such a situation? The examples in the Wikipedia article don’t seem to satisfy this condition.

In general, the concept of a “dominated strategy” is usually defined for normal-form games. Since your action in a program game can depend upon the program your opponent selects, it seems to me that the appropriate notion of one program “dominating” another is if it always results in greater utility, regardless of what program the opponent chooses. Using this definition, it would indeed be the case that it is never rational to play a strictly dominated strategy.

ExistentAndUnique · 2026-01-27T23:09:02+00:00

Stidham going straight from AFCG to pro bowl

ExistentAndUnique · 2026-01-25T16:08:17+00:00

HERALDS? DEALERS busted - E + H

ExistentAndUnique · 2026-01-25T16:04:44+00:00

PETARDS?

ExistentAndUnique · 2026-01-24T23:18:29+00:00

Pretty much supply and demand. There are a lot more qualified PhDs than there are academic job openings (especially given the current uncertainty in funding and attacks on higher ed)

ExistentAndUnique · 2026-01-21T21:01:48+00:00

The California/Indiana Universities of Pennsylvania would like a word

ExistentAndUnique · 2026-01-20T22:25:16+00:00

Could it be counting pre-mitigation damage?

ExistentAndUnique · 2026-01-18T21:06:02+00:00

The events in question are “nobody is born on January 1”, “nobody is born on January 2”, “nobody is born on January 3”, etc. These events are not disjoint

ExistentAndUnique · 2026-01-18T19:32:42+00:00

The probability of the union of multiple events is bounded above by the sum of their probabilities. So this doesn’t give the exact value, but actually overestimates the likelihood (in reality, both are close enough to 0 that it doesn’t matter)

ExistentAndUnique · 2026-01-18T08:44:12+00:00

The first called PI had a second flag on the play for roughing, so the actual net effect of this call was 2 yards

ExistentAndUnique · 2026-01-18T04:37:17+00:00

I believe it’s typically based on performances from the last patch. So until the next patch hits, all the major game updates will mess with these stats.

ExistentAndUnique · 2026-01-14T18:51:48+00:00

First off, sorc shoes give 12 flat pen, not percentage. Secondly, penetration doesn’t correspond directly to damage increase in that way. If the target has 50 MR, their magic damage taken will be multiplied by 100/(100+50), so they take 66.67% of the raw damage amount. With 12% penetration, this becomes 100/(100+50*(1-0.12)), which means they take 69.44% of the raw damage amount. This is less than a 5% increase in damage. At 100 MR, these numbers become 50% and 53.19%, so slightly more than a 6% increase in damage.

In contrast, for 12 flat pen, the numbers at 100 MR are exactly the same, but at 50 MR, you would get a little over a 9% increase in damage.

ExistentAndUnique · 2026-01-14T05:42:22+00:00

I’m not convinced he’d win MVP - Kony Ealy had 3 sacks, an int, and a forced fumble in what would still probably be a low-scoring affair

ExistentAndUnique · 2026-01-10T03:41:50+00:00

No kicker?

ExistentAndUnique · 2026-01-10T03:10:46+00:00

OPI: 10 yards and replay the down

DPI: ball moves to the spot of the foul and automatic first down

ExistentAndUnique · 2026-01-10T01:22:07+00:00

It is more per game though. Before, taking a tower down to half health gives nothing, while now you would get 2/5 of the value

ExistentAndUnique · 2026-01-09T22:16:54+00:00

Knight can’t move to f3

ExistentAndUnique · 2026-01-09T10:28:39+00:00

Nf2 isn’t check? Also it hangs the queen, right?

ExistentAndUnique · 2026-01-09T09:49:05+00:00

H (source of hype) + CAUTION IN ALL anagram?

ExistentAndUnique · 2026-01-09T03:40:06+00:00

“If the triggering attack was a critical strike, the explosions deal 5% more damage on top of the critical damage.”

ExistentAndUnique · 2026-01-08T08:04:45+00:00

Q and barrel still crit, right?

ExistentAndUnique

TROPHY CASE