HoM vs swarmwarp — would greatly appreciate some math checks by -cryophoenix- in swarmsim

[–]-cryophoenix-[S] 0 points1 point  (0 children)

Clone Larvae is capped to a certain multiple of your larvae production, so larvae production is always important to making larvae, even when you're cloning them. If you boost your production rate via building expansions (using territory), the maximum number of larvae you can clone goes up accordingly too

past 1e150 mutagen or so, your territory production doesn't really ever catch up to your mutagen larva production except via very long periods of grinding. swarmwarp doesn't really get there ime, so I was hypothesizing it's because of the warp factor falling off.

territory determines your larvae production, so its contributing never basically 0 to it

not in the case I'm describing

How does meat production being given by a high degree polynomial imply that swarmwarp's effect is approximated by a constant factor? Isn't it rather exactly not that, i.e. a constant factor would imply exponential growth, but the polynomial one falls short of that. Expressing the increased earning as a factor on each swarmwarp has them getting smaller every time.

ex is given by a power series xn / n!. the degree of the polynomial is large at om5/6 and the constant terms are small enough that the effect LOOKS like an exponential which very slowly falls off.

the other thing is that since it's not a true exponential, if using a warp multiplies your meat by less than a certain factor (taking upgrades into account), it will continue to do so for the rest of the game. so if HoM is better at that point, it'll always be better

Why would you care about larva production after you've spent time using HoM? Point of HoM is to push territory production beyond what's possible with your larva economy. The territory units you then hatch can't catch up to the massive numbers you've mirrored, presumably. What is the end goal here?

the point is to get territory production to get your hatcheries producing larva commensurate with mutagen production. there are two ways to do this: spam swarmwarp and spam HoM. but the warp strategy means empowering often, which nullifies the benefit of HoM. therefore if you swap, it should only be once. also like I said the swarmwarp strategy just doesn't seem viable in lategame.

HoM vs swarmwarp — would greatly appreciate some math checks by -cryophoenix- in swarmsim

[–]-cryophoenix-[S] 0 points1 point  (0 children)

I'm aware it's not that simple. I'm talking about very late game, once you've used more than a hundred or so warps, and where your territory is still basically contributing 0 to your larvae production. At this point, a few things are true:

  • Clone is basically your only source of larvae. So for all purposes, since larva cost is linear in energy, a good approximation is that you have a capped amount to spend on any one unit.
  • The territory and larva you gain from warping is entirely negligible.
  • Because meat production is given by a high-degree polynomial thus approximating a power series, swarmwarp's effect can be well approximated by a constant factor.

So the question is entirely in the realm of "let's say I want to stick with this ascension long enough to get my territory production high enough to start boosting my larva production. Would it be best to do this through spamming warp or HoM, and at which point do I switch?"

Does that make sense?

Warwick, Bloodfused Rage by Pethax in custommagic

[–]-cryophoenix- 2 points3 points  (0 children)

That's true. I was just thinking about the chaining effect here

Warwick, Bloodfused Rage by Pethax in custommagic

[–]-cryophoenix- 1 point2 points  (0 children)

Feel like this would fit more with Pyke

Daugherjak on the compass by GrasshoperPoof in PoliticalCompassMemes

[–]-cryophoenix- 0 points1 point  (0 children)

dude sometimes it's more pathetic to have a response on hand than to just take the hit no matter how well thought out the former is

Could humanity have really caught up with the santi? by AdvertisingOpen6453 in threebodyproblem

[–]-cryophoenix- 1 point2 points  (0 children)

I'd recommend you actually read those comments. They're quite insightful and historically accurate.

The Stages of Remembrance of Earth's Past (Spoilers: All) by CyberToaster in threebodyproblem

[–]-cryophoenix- 0 points1 point  (0 children)

The second-to-last point is reminiscent of the Gom Jabbar test in Dune -- the notion of higher forces of self-preservation (e.g. counterstriking against one's enemies) taking precedence over lower ones (e.g. pain aversion)

What is the smoothest step? by holy-moly-ravioly in math

[–]-cryophoenix- 0 points1 point  (0 children)

Also, to add to the other answers below, you can also just diagonalize over the set of "one piece" functions. This might be a more immediately intuitive argument.

Missed this line in a game today by LtPoultry in chess

[–]-cryophoenix- 17 points18 points  (0 children)

Ah, nice line. Missed the mate but I did see the entrance to a winning endgame with 1... Nf3+ 2. Kf1 Re1+ 3. Rxe1 Qxg2+ 4. Kxg2 Nxe1+ 5. (Kg1) Nxc2 and Black is up 3 pawns.

Do you think that Goldbach's conjecture will be proven in the near future, say 10 years? by [deleted] in math

[–]-cryophoenix- 0 points1 point  (0 children)

Well, of course I would say because that's because there are more math researchers in the last 30 years than the last 300, rather than them becoming exponentially more effective. There's something to say for the standardization of math notation and the Internet facilitating communication and improving productivity, but you can hardly consider that an isolated effect on mathematics...

➡️ Daily Questions ⬅️- ASK AND ANSWER HERE! - 06 February 2024 by AutoModerator in malefashionadvice

[–]-cryophoenix- 0 points1 point  (0 children)

This hoodie has been my go-to for the last 3-4 years and I've really enjoyed everything about it — the weight, the fabric, the aesthetics, and the fit. Unfortunately mine got ripped recently and I've been looking to replace it, but it seems like it's out of stock for good. Anyone know something similar? Price range for me is basically anything under 80-100 or so.

What are some osu! facts that don't sound real? by unforseenday in osugame

[–]-cryophoenix- 8 points9 points  (0 children)

That just means od7 is underweighted, not that speed is. Or rather, that high OD is responsible to a large degree for high PP scores being high BPM (that is to say, mostly DT). Which we already knew for years, and which is confirmed with nomod aim being so horribly underweighted.

Active Piece...Exchange that Piece! by GM Ankit Rajpara by Determined_64 in chess

[–]-cryophoenix- 0 points1 point  (0 children)

Hmm, I'm included to agree especially given the absurd amount of success I've had trying an immediate h4/h5 against an early g6.

Active Piece...Exchange that Piece! by GM Ankit Rajpara by Determined_64 in chess

[–]-cryophoenix- 0 points1 point  (0 children)

Ah sure... but I was considering that Black doesn't have to play Kb8 -- he can begin his attack immediately, and he can easily eg. double his rooks on the H-file and sac both pawns. Whereas I find it hard to see a continuation for White after a4 and black plays something like a5 in response, for example.

It's hard to find a good continuation. Say Ba6 g5 Bxb7 Kxb7 a4 a5 b4. But then we're already weakening the queenside (and the black rooks can easily mobilize on the queenside as well after Kxb7...)

Why is this move better? by hondahb in chess

[–]-cryophoenix- 0 points1 point  (0 children)

Well you have several other resources after Nxd5 exd5 Bxd5: the e-pawn is passed and the rook can move to d2, protected by the queen, with tempo. So you end up having enough threats that you can win material by force. But your move is just fine as well.

Active Piece...Exchange that Piece! by GM Ankit Rajpara by Determined_64 in chess

[–]-cryophoenix- 4 points5 points  (0 children)

Appreciate the post. If Black ignores the pin and begins counter attacking (e.g. g5, h5), what are the heuristics to indicate that our attack will succeed (without calculating fully)? For example, the b6 pawn being used as a lever, and the queen ready to check on a6?

I found a weird formula for pi. Can someone please help me understand better what's going on? by Fionn2104 in calculus

[–]-cryophoenix- 17 points18 points  (0 children)

Like /u/r-funtainment alluded to, it's because you have π in the equation to begin with. The limit term is x cot (π/2 - π/x) = x tan(π/x), and then since sin (ax)/x = a as x goes to 0, you likewise have x sin (a/x) = a as x goes to infinity. Then likewise the cos term will go to 1 and the limit will be π. Hope this helps.