InDex（超越作家指数）くらいオセアニアじゃあ常識なんだよ
〔概要〕
昨今，過去には認知されていなかった様々な依存症による問題が顕在化してきているが，中でもインターネット依存症は深刻な問題である。今回我々は，個人個人が各自の投稿能力を知り，その閾値の中でのみ投稿を行うよう努めることによってこの厄介な依存症を回避するための基準となる指数を提唱し，これが精神治療の新地平を照らす太陽の王子様となることを望む。
〔本文〕
Actually, we feel we are now mentally disordered and currently super manic of non-stoppable posting without sleep nor nap, however there seem to be some $${\text{splendid writers who still go higher than us}}$$ and have been keeping that posting frequency since they set up their account up to today.
Our limit was, which we counted, $${\text{75[post] per entire 1[day] of 24[h]}}$$ without sleeping nor going out, nor doing any chores.
Basing on that figure, let us define $${\text{the Insanity Detective Index } (\mathbf{InDex}),}$$ with which you can tell that kind of $${\text{super splendid writers}}$$ from other ordinary decent people.
The threshold of post frequency with which you can tell the insane from decent is given by the formula as follows:
$${ \text{InD(75)} = 75 \text{ [post/day] manic entire day} \\ \hspace{0em} \\ \hspace{0.5 em} \times \Bigg \lbrace 24 \text{[h]} \\ \hspace{2 em} - \bigg(6 \text{[h] of sleep} + 3 \text{ [time]} \times \dfrac{ 1 }{2} \text{[h/time] of dish} + \hspace{0.4 em} 1 \text{ [h] bathing} + 1 \text{ [h] chores} \bigg) \text{at least} \Bigg\rbrace \text{[h]} \\ \hspace{0.5 em} \times \dfrac{1}{ 24 } \text{[/h]} \times 365 \text{ [day/y]} \\ \hspace{0em} \\ = \hspace{0.5 em} \underline{16.5 \text{ k}} \text{ [post/y], totally indoor jobless} }$$
Its generalization with arbitrary constants and variables are as follows:
$$
\begin{array}{}
N &:& \text{possible limit of daily posts you think as},
\\ \tau &:& \hspace{0.5em} \text{sleeping hours},
\\ m &:& \hspace{0.5em} \text{how many times you eat daily},
\\ \mu &:& \hspace{0.5em} \text{duration of meal},
\\ \beta &:& \hspace{0.5em} \text{duration of bathing},
\\ c &:& \hspace{0.5em} \text{duration of chores in total},
\\ D &:& \hspace{0.5em} \text{how many days a year has (365.2422)},
\\ H &:& \hspace{0.5em} \text{how many hours a day has (24.00000)}
\end{array}
$$
$${ \text{InD}(N) \\ \hspace{0.5 em} = N\text{[post/day]} \times \Bigg \lbrace 1 - \bigg( \dfrac{ \tau + m \times \mu + \beta + c\text{ [h]}}{H \text{[h]}} \bigg) \Bigg \rbrace \times D \text{[day/y]} \\ \hspace{0.5 em} = \underline{ \bigg( 1- \dfrac{ \tau + m \mu + \beta + c}{H} \bigg)DN} \text{ [post/y]}}$$
The list of reckoned $${\mathbf{InDex}}$$ figures turned into total accumulated amount of posts by multiplying it by the duration how long that person has kept posting relentlessly as to now $${ : T(\alpha) }$$, are as follows:
If that person $${\mathbf{“Joined } \text{ Mar} \mathbf{”},}$$ for instance, in each year below $${ : \alpha, \text{ when } N_0 = 75, }$$
$$
\begin{array}{}
\text{InD}(N_0) \text{[post/y]} \times T(\alpha) \text{[y]} \\
\hspace{2 em} \\
\hspace{6.5 em} \stackrel{\mathrm{def}}{=}:& \underline{ \text{ InDexT}(N_0, \alpha) } \text{[post]} \\
\hspace{2 em} \\
\hspace{2 em} \text{when} \hspace{0.5 em} \alpha \hspace{0.5 em} = & ’10: 232\text{ k [post]} \\
\hspace{2 em} & ’11: 215\text{ k [post]} \\
\hspace{2 em} & ’12: 198\text{ k [post]} \\
\hspace{2 em} & ’13: 182\text{ k [post]} \\
\hspace{2 em} \\
\hspace{2 em} & ’14: 165\text{ k [post]} \\
\hspace{2 em} & ’15: 149\text{ k [post]} \\
\hspace{2 em} & ’16: 132\text{ k [post]} \\
\hspace{2 em} & ’17: 116\text{ k [post]} \\
\hspace{2 em} & ’18: \hspace{0.5 em} 99\text{ k [post]} \\
\hspace{2 em} \\
\hspace{2 em} & ’19: \hspace{0.5 em} 83\text{ k [post]} \\
\hspace{2 em} & ’20: \hspace{0.5 em} 66\text{ k [post]} \\
\hspace{2 em} & ’21: \hspace{0.5 em} 50\text{ k [post]} \\
\hspace{2 em} & ’22: \hspace{0.5 em} 33\text{ k [post]} \\
\hspace{2 em} & ’23: \hspace{0.5 em} 17\text{ k [post]}
\end{array}
$$
Those whose $${\mathbf{InDexT}}$$ is beyond each of the figures listed above, is absolutely insane, and we’re afraid if they have been working overtime $${\text{24[h] and 365[day],}}$$ and eventually end up getting mentally disordered—— We strongly hope that they would be aware of their disorder of their own and see some decent doctor——•••
——$${ \text{Yin, Sanity}}$$ & $${ \text{Aimée Just-Johquine (Mar 2024)} }$$