About the Rules & Moderation category (Part 1)

Announcements Rules & Moderation
#5026

I tried to order cat objects for halloween and I accidentally used a card which didnt have enough money on it and now the thing only arrives ON halloweeen

#5027

nyaaaaaaaa but then that explodes and dies when you try to raise a number to an arbitrary real power

#5028

I’m going to raise you to an arbitrary real power

2 Likes
#5029

honestly we might’ve just taken exponents for granted. we’re not that philosophicalstyle

1 Like
#5030

Get ready to be the fucking king

1 Like
#5031

nyaaaaaaa IDK I kinda dislike exponentiation’s lack of a definition more than trig functions

1 Like
#5032

I can hear hte ocean

#5033

i can hear creepy music thats been playing for like 3 hours

#5034

Is your sound real or is it fake because mine is fake

#5035

they definitely went philosophical style with the natural number exponents. and the rational ones. because those you can get away with being repeated multiplication/inverse multiplication. except he disliked when we used roots/rational exponents until we actually proved that those functions exist (as a result of x^n being strictly increasing on [0, infinity) for all n and therefore being one to one on that interval). idk if we’ve even come across irrational powers yet tbh

1 Like
#5036

it currently sounds like lawnmovers windchimes and generic spook sound effects

#5037

i assume its a real noise because its really close to halloween and its probably a party

1 Like
#5038

I assume mine is fake bcause per https://www.nileguide.com/ocean/ I am 100 miles away

1 Like
#5039

yeah i think we only proved the differentiation power rule for rational exponents. genuinely don’t think we’ve seen an irrational exponent yet

1 Like
#5040

nyaaaaaa yeah I see a ~reasonable definition for A raised to a rational power
IDK how to define A raised to a real power, except as a limit of A raised to a sequence of rational powers that converges to the specified irrational power (painful definition)

#5041

its now pirate music

#5042

also NYAAAAAAAAAA on the other side of the spectrum, my ODE class just brought in complex exponents and we just assumed everything works how we want it to

1 Like
#5043

well yeah ODEs classes don’t really care about proofs

1 Like
#5044

My ODE class is taught by a physicist and it shows

2 Likes
#5045

the only complex exponents i know is with e as the base, in which case they’re awesome

1 Like