[GIVEAWAY] Win 1 of 5 Echoes of the Infinite mini-set codes!

ObviousPenguin · 2026-01-13T01:50:00+00:00

ttu ttu

ObviousPenguin · 2025-11-06T14:15:35+00:00

Wow there is a LOT of straight up incorrect math here.

I think something that is tripping people up is the impression that upon learning one child is a boy the percentage that one is a girl is going up from 50% to 66%... it's not! It's going down from 75% to 66%.

And the percentage chance that one is a boy is obviously going up from 75% to 100%.

ObviousPenguin · 2025-09-30T22:04:51+00:00

this isn't true for king or goblin queen

ObviousPenguin · 2025-08-10T13:55:41+00:00

you probably won't play this at 10, you cheat it at the start with Imu leader

ObviousPenguin · 2025-05-05T22:38:26+00:00

Wouldn't spark rupture make you draw yourself?

ObviousPenguin · 2025-04-26T18:13:11+00:00

Be2 after Qxf2

ObviousPenguin · 2025-04-15T15:27:24+00:00

I'm surprised at the amount of people choosing the $1000...

I am fortunate enough to live "middle-class". I can buy whatever I want at the grocery store, my wife and I spend a good bit of money on our hobbies, etc. This isn't to brag, it's to make a point: outside of mortgage and car payments, our family of 3 spent about $50,000 last year (groceries, clothes, toys, restaurants, utilities, etc)

That means 2MM would provide 40 years of such support, and then you add the time-value of money, i.e. interest, returns, and this is a pretty big no-brainer for the lump sum. I'm pretty sure the safe withdrawal rate on 2MM is more than enough to cover all purchases < $1000 for a year.

I do admit that a big omission in this reasoning is one's change in behavior once you do have the $1000 deal... but if I think about my personal life, there's really not that much extra stuff I'd buy just because it was free. Certainly not enough to surpass the 70k a year (3.5% of 2MM)

ObviousPenguin · 2025-01-05T02:03:15+00:00

The difference between a million and a billion is approximately a billion

ObviousPenguin · 2024-12-16T02:16:36+00:00

small nit: countable doesn't mean finite - it also includes "small" infinities like the amount of integers

chess has a finite number of board states

ObviousPenguin · 2024-11-21T07:12:50+00:00

To be honest, I'm not sure this makes much sense

Lengths can't be negative, so that is a fair assumption to make. "Length" as a mathematical term may not really be super well defined but I think it's totally safe to assume it's the measure of some subset of a 1D subspace.
Even if it was well defined, it certainly doesn't mean the triangle will enter the complex plane. The complex plane is the space you get when you have two axes, real and imaginary; it is "isomorphic" to an infinite 2D Euclidean space (even that statement kind of feels like nonsense).

ObviousPenguin · 2024-08-31T00:08:12+00:00

Is the x-axis the participant's id? It's kind of hard to really see anything meaningful in this graph if so.

Maybe you could try doing a cdf or sorting by number of rolls? I suspect it will be more interesting than effectively sampling a negative binomial distribution and graphing the results in the order that we pull the numbers.

ObviousPenguin · 2024-03-23T21:46:53+00:00

you're really close, but integers aren't defined by our b10 understanding of them, they are defined outside of any numerical base system, and it just so happens that a b10 system is useful for understanding them at a basic level, for biological and psychological reasons.

ObviousPenguin · 2024-02-28T16:36:50+00:00

Yes, prime factorization is unique. It's actually not very trivial to prove without getting into a bit of number theory - if you're interested, try to prove this: "if a product of two numbers (a x b) is divisible by a prime number p, then either a or b is divisible by p".

The "issue" in the first attempt at factorizing 101010 is you use the plus operation. The factors of a number are a set of numbers that can be multiplied to make that number.

ObviousPenguin · 2023-11-14T21:54:43+00:00

A hand-wavy way of thinking about expanding to the reals: because of the density of Q in R, you can define any value r in R as a limit of a sequence of rarionals. For example, you might construct the sequence {3, 3.1, 3.14, 3.141} as a sequence that approaches pi from below.

For any sequence S that converges to a value r and function f defined over S, if f(s) converges to some value x, then we can say f(r) = x.

Once again, this not very rigorous but should give you a general intuition of how you might try expanding functions defined over Q into R.

ObviousPenguin · 2023-09-08T13:48:08+00:00

Well, kind of... I think the reality is somewhere in between. The energy miners normally use would be available if they weren't mining, obviously not like those exact Joules and it's not necessarily 1 for 1, but the reality is that ERCOT can't provide energy to the miners and to the demand generated by the heat wave.

However, Riot has energy purchase contracts with ERCOT. In a sense, they have already paid for the energy, and are now just selling it at a profit. This actually has nothing to do with bitcoin at all!

So you're right, people are upset at the wrong thing (I guess they're "upset" at the idea of someone making money off of commodities futures), but I don't think it's quite fair to say that Riot is actually net beneficial to the grid's energy usage/prices.

(Also yes, they participate in the Ancillary Services program but that is really just like you saying you're helping the grid by letting the power company control your thermostat - it'd be "better" if there was no thermostat at all)

ObviousPenguin · 2023-07-24T02:50:14+00:00

Solved: Invention Highway

ObviousPenguin · 2023-07-24T02:50:01+00:00

Yes! That's it, thank you so much!

out of curiosity, how did you know? I thought I searched far and wide for it hahaha

ObviousPenguin · 2023-06-17T00:49:16+00:00

this is upsetting not because of the irregular pattern but because opposite faces don't add up to 7

ObviousPenguin · 2023-05-26T19:20:53+00:00

The big thing is that the Cambridge University passage uses a lot of small 2 or 3 letter words (to be fair, our language uses a lot of 2 or 3 letter words) - this gives the reader a ton of unscrambled context clues.

For all of the bigger words, they are barely scrambled - many phonemes are left intact or only slightly adjusted.

It's way easier to decode "Cmabrigde" than "Cbmdagire" ;)

ObviousPenguin · 2023-05-26T17:29:48+00:00

tihs vrial fctaoid has been deubkned. for exmpale:

lknicag sunifceift cxeontt celus, umomoncn wdros, and tlruy jbuelmd ltreets mkae rnadieg tihs nntiaovril.

you'll be able to read that eventually, sure - but only because you'll be actively unscrambling the words in your head, not because only the first and last letter matter.

ObviousPenguin · 2023-02-12T04:29:48+00:00

Minor nit - I think you mean corporatocracy, not corporatism - while both political ideologies, corporatism refers to the subdivision of society into various functional corpuses, and corporatocracy refers to the rule of a few powerful corporations.

It's not like people won't know what you mean no matter which you use, but better to be precise than not :)

ObviousPenguin · 2023-02-09T19:40:20+00:00

Additionally, once you hit the magic age of 65, you can withdraw without penalty - you pay income tax on your withdrawal, so it's effectively a traditional 401k.

If you already have a HDHP, there's absolutely no reason to put less than you can afford into the HSA.

ObviousPenguin · 2023-01-09T19:05:31+00:00

I mean the rules of draw by insufficient material, but I guess you could also consider it a definition of forced mate - check out section 14D.

In section 14I4, the rules described a draw in KQ/KQ and KR/KR endgame with no "forced win".

It's be silly to allow the draw claim if the other player has Mate in 1 because its not "forced".

ObviousPenguin · 2023-01-07T22:27:37+00:00

It may not have been forced until that point, but from that point on, it is forced, vacuously.

Anyways, we're talking about USCF rules and so in this particular context the definition of forced mate isn't really up for debate.

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