mafaa

Under 1% of users for over 50% of your mobile gaming revenue with a not single purchase model has been a good general estimate since 2010; I invite you to google an publicly available data on that. From what I've seen privately 50% is a vast understatement. And no, most of those users cannot afford what they spend.

They bring up gmp which i'm surprised to never see discussed here. Underpins so many tech stacks (+ gcc relies on it) and is basically always involved in the cryptography piece of those given how many rely on huge numbers.

https://en.m.wikipedia.org/wiki/Ring_(mathematics) it’s a little hard to describe as it’s fairly abstract. It’s a structure that is subset of abelian groups (groups where operations on elements of the group don’t depend on the order written, ie x+y = y+x). For example the set of ints with “normal” addition and multiplication is a communicative ring

Single turnip is ridiculous sure but that is hardly the average sub 5 $ purchase. I have seen people check out with single pieces of fruit or like a gallon of milk regularly. Plus, in my state, you could easily get a single deli item for lunch or breakfast for ~5$ or under. Basket size (which is the term groceries use for the average purchase total) is about 50$ although it has gone up in covid19 times. That is the mean though- there is a ton of ~5$ and sub purchases

I think small random uses add up to practical value although there are those who make a religion out of its 'meaning'.

some (n mod 9) can be found by (is congruent to) (sum of the digits mod 9) instead is the most obvious example

True only in base 10 although similar congruences exist for other bases and also involve adding the digits