User:Catsmeow12

Greetings! I am CatsMeow12. I like math, cats, coding, animation, and various other stuff. If you see this, you've either clicked the random page button or just like to explore. In any case, you have landed here.

Math Content

This is an AoPS Wiki, so I assume that at least some math is expected here. So, I will post some things I like or came up with.

Modular Division

It is generally accepted that division is not defined in modular arithmetic. An example like is usually presented, and both "sides" of the congruence are usually divided by their GCF. Then the divided congruence usually becomes something like which is simplified to something like At this point, it is usually shown that the attained congruence is a solution for the original congruence but doesn't account for all the possible solutions. So, the conclusion is reached that division doesn't exist in modular arithmetic. Some are more careful with their wording and state that division is not defined in modular arithmetic.

Notice, though, that you can't solve the above equation without dividing both sides and the modulus, even with modular inverses.