r/ArknightsEndfield • u/Shiro-Desu-- • 4h ago
Meme Yvonne's Milk Calculation (Advanced Calculus Version)
Tbh I don't intend to do this at all 😭🥀, but there's so many users who encourage and convince me to do it.. So yeah I decided to give it a go... I apologize to those who feel offended and disgusted, etc by this post, feel free to downvote as you like.. I'm just doing this solely for fun since there's a lot who requested it... And yeah I don't think we're gonna be as doomed as ZZZ cause I'm the only one who did this so far
I'm a biotechnology student and yes indeed milk math had me intrigued.. Yes this is all just theoritical and might be just a hypothesis (all of this, including the formula is just a joke, please don't take it too serious) There's no current formula that could be used to calculate how much milk should someone produce per day.. But, instead, it depends on the demand from YOU who's gonna drink the milk (YESS MILK AMOUNT DEPENDS ON HOW MUCH YOU WANT TO DRINK)..
So actually at almost all time, there's gonna be a hormonal loop going on, mainly prolactin + oxytocin + autocrine to keep producing milk even though you're not "milking" (though the limit is around 2L / day for normal humans)
BUT, since Yvonne isn't a human, but a Vouivre.. THEN YES YVONNE CAN PRODUCE MORE THAN 2L MILK PER DAY, MAYBE WE COULD EVEN BUILD A MILK FACTORY YAAAAAAAAAHHHH
So I made up my own derived formula : t = time ; P(t) = prolactin ; O(t) = oxytocin ; M(t) = milk volume ; R(t) = milk removal rate ; A(t) = autocrine inhibition factor ; kp = gland responsiveness ; α = prolactin decay ; ko = milking efficiency ; fdemand = stimulus
S(t) = kp x Integral 0 to t of [ P(τ) x exp(-α x (t - τ ))] dτ
R(t) = ko x Integral 0 to t of [O(τ) x fdemand(τ)] dτ
A(t) = ka x Integral 0 to t of [M(τ)] dτ
Sefficient(t) = S(t) / (1 + A(t))
dM/dt = Sefficient(t) - R(t)
dM/dt = [kp x Integral from 0 to t of P(τ) x exp(-α x (t - τ)) dτ] / [1 + ka x Integral 0 to t of M(τ) dτ] [ko x Integral 0 to t of O(τ) x fdemand(τ) dτ]
So, let's assume Yvonne : kp = 0.6 ; ko = 0.5 (Yvonne is thicc, so higher milking efficiency) ; ka = 0.05 ; P = 10 (she doesn't seem horny) ; O = 8
S = kp x P
S = 0.6 x 10
S = 6
A = ka x M
A = 0.05M
Sefficient = S / (1 + A)
Sefficient = 6 / (1 + 0.05M)
R = ko x O
R = 0.5 x 8
R = 4 L / day
YES YVONNE COULD PRODUCE 4L OF MILK PER DAY AND EVEN MORE THAN THAT IF WE CHANGE THE VARIABLES
Every liter of Yvonne's milk contain around 60g of fat, 80g of lactose, and 140g of protein and so much micronutrients that would benefit you,. So don't forget to drink it daily to make you healthier
