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I've taken rounding errors into consideration and am basing my "within 1%" off of the rounded value I get back out compared to the rounded value I see in the game.
Why the math looks weird to me:
I have:
({upgrade level} + 2) * ({per level increase} + 2) + 70
Where {per level increase} is Log10({Z})*2
At time of writing, Z is 538Qa, the per-level increase is 35.53, with 88 levels, totaling 3.48K
My calculations give me a per-level increase is 35.53 and total of 3450 (rounded from 3447.82).
Low by 0.8% (the two least significant digits of the per-level increase change fast enough that I have excluded them here, but are comparable, and don't affect the final value).
Those 2s and +70 seem...so...random.
I can swap the +70 for a +3 on the per-level-increase (-70; + level) and all data points end up +/-2% (willing to bet this is closer to the actual formula; although it sacrifices more recent accuracy for earlier inaccuracy, but all outlier values remain outliers and still in the same direction either high or low) and ≤1% low since upgrade level 71. Made this change just now in refining my approximations. But it still leaves the bizarre *2, +2, and +3 that make me think it isn't correct.
I only mention this one as the delta-change from upgrading that option is misleading as it takes the current per-level increase and applies it to the new level not accounting for the cost that would make a reduction in the per-level increase that can cause a reduction in Δr as a result of purchasing.
This is similar to "purchasing β made Δr go down" but that one is the result of not correctly anticipating how the integral changes, this one is just hidden and can't even be approximated by "oh just don't do it until your Z is three times the cost" due to the Log10 (the higher you go, the less buffer you need).
Variable subscripts, posted before I decided to make a comment here
Math Skill?, which I found via search and didn't bother making a comment here
Although I don't know why "Math Skill" is even a separate stat from "Enemy Growth Reduction." Could have just called it "enemy growth reduction" even if it's multiplicative with the value from challenges.
Oh yeah, what the Fook does "No Settings: +0.5" actually do/refer to and what challenge gave me that reward?
So then I paid for a 15Qa bump to the next upgrade level... and was charged 11Qa...
AND I HAVE SCREENSHOTS
https://steamcommunity.com/sharedfiles/filedetails/?id=3077127291
https://steamcommunity.com/sharedfiles/filedetails/?id=3077127306
The next bump costing 23.8Qa only actually cost... 16Qa...
...I don't understand...
it's just random 1->65-ish x Spirale point multiplier (if i remember correctly)
The "times spiral point multiplier" is applied to everything, and happens after the fact. The number you get on the daily screen is the raw value, but your actual total will go up by the spiral point multiplier.
And at 900 seconds (scaling up) per rank, this percentage is so tiny that even if there were still milestone rewards out to 30M, it wouldn't actually make a difference.
Entire UI is non-functional because I need to do something else first, apparently. Can't start studying, can't have an epiphany, but I found I had two inspiration points from battles. Apparently I need ten to do...anything here?
Thanks game. Apparently a single point is approximately 1 million battle kills. JFC.
Best I can tell, a resurrection or block is consumed when you take "enough" damage. Precisely what counts as "enough" I have no idea. Regardless, if it is Enough, resurrections are consumed before blocks, but blocks are easier to come by.
I would assume that a block is needed whenever you take damage that exceeds your defense and a resurrection if the damage would kill you.
However this is not always the case, as I've had them consumed on damage values below my defense. When this happens, switching Nuke mode on/off and back, or just stopping battle and starting again, will result in it going back to not-consuming them. I do not know how to enter the "always consumes" state.
You can Buy your first Point with XP on battle upgrades, i think this is the way to easy start (randomly Buying 58 of them gave a pretty decent Equation study start)
Also, Pentangle seems to be the lowest enemy to have a decent Loot Table
I don't see a battle upgrade that is relevant.
Battle Upgrade
Category : Other
Sixth upgrade, Upgrade51 (the one on the lower right corner) : Instantly gain +1 Inspiration
It came to me with the last update.
What T-Prestige are you ?
I believe it was 32 that gave me access to theories.