u/Significant-Win-231

Is It Just me or does october 7 Resemble 9/11 in some way? Not in severity of event, but rather in the reaction and aftermath, a form of public hysteria that allowed reactionary political forces to take Place and implement a state of even more permanent warfare by implementing what Is essentially lynch-mob mentality in foreing policy, with a nice Dash of racism/islamophobia to boot? I tried asking this question in another reddit thread with... Subpar results, mainly due to the controversial nature of the events, so if you think I missed something in the analysis of either event, please explain. As previously stated, i know next to nothing about political science or geopolitics, so any input Is greatly appreciated.

I am not a math Expert and thus I seek the wisdom of this site in order to find a formula that satisfies these requierements:

The function (U) has 3 variables: A, X and Y.

A, X and Y are all positive

U Is increasing with A

U Is increasing with X and Y, but their second derivative a are negative

U(A=0)=0 but U cannot be 0 if X and/or Y are also 0.

A increases with X and Y, and vice versa.

U decreases as the differences between X and Y, or Y and X, increases.

I Need this for a personal project of mine, so any help Is greatly appreciated. Thanks in Advance.

PS: I may not be an expert but I DID complete all calc courses. so 1) THIS IS NOT A REQUEST FOR CHEATING AT A PROJECT and 2) You can use all the advanced terminology you like

The excell sheet I have is a ranking of every type from worst to best according to a model that admitedly has quite a lot of assumptions, mainly:

1. No distinction between a types preference for special v attack or defence v spe. defence
2. assuming the types are equally distributed, so for example you have as much chance of encountering a bug type as a dragon type
3. Attack and Bulk are assumed to be equally important
4. STAB only, so no coverage

The columns on the spreadsheet are as follow: AP (Attacking prowess) is how much the pokemon benefits offensively from its type. DP (Defensive prowess) is how much a pokemon benefits defensively from its type: TP (Total prowess) = (AP+DP)/2 (formulas for the other 2 measurment in the spreadsheet). Types are ranked on TP and all numbers have been calculated manually, so feel free to double-check the math.

Overall, I found a couple of very interesting findings based on this model:

1. Grass is (un)surprisingly not good
2. Dragon is a surprisingly weak type
3. Steel is even more broken than I assumed
4. By being a duel type, most pokemon gain offensive advantages at the expense of defense
5. Water-Dragon and Normal-Ghost are good, but not THAT good
6. A 'mon would rather trade a resisted type for a type against which its supereffective rather than having 2 neutral offensive matchups. Conversly, a 'mon would haver have 2 neutralities rather than a weakness and a resistance

WARNING: this is not supposed to be an end-all solution to the ranking debate. Again, the model has a couple of strong assumptions and there may be valuable criticisms to the math formulas, so feel free to make further discussion.

Ranking sheet