general

I'm dissapointed that I watched this

Define heartbroken

I could have done hw and then played valheim

Is this the movie that has actual death in it

yeah

they kill Hitler

I love Wacky Races

it's one of my favorite kids movies

I remember not liking it

Now I know why

read the comments on that bouncy song

everyone love it

and loved the movie

who would even search that song unless they liked it after watching the movie

why was I pinged 3 hours ago

I was writing a midterm

just the movie role

dont worry pika

it was awful

1/10

rip

what movie was it

Tom and Jerry 2021

oh oof

sorry it was not good

It was everything wrong with this era given a tom and jerry coat of paint

ok guys I have to measure the absorbtion curve for some type of fluid

I need ideas

Kappa

I read that as abortion curve

Baby fluid

first I need to aquire baby fluid

Cum

Cum is babyfluid

using only the basic operations +, -, *, /, and ^, is it possible to make a function that outputs '1' if input x = a, and '0' if input x != a?

I assume you do not want the obvious answer of a piecewise defined function

it would have to be a piecewise defined function now that I think about it, because what you are asking for is a function f(x) = 0 except at a, where f(a) = 1

there is no continuous way to do that

ooh pika, do you know simplex linear equations and stuff

Yes hello

would it be possible for only integers though

no

it is actually not possible

let me draw you a graph

ooh I might throw some hw stuff here later

lmao

what you are asking for is this pirate

addition, subtraction, division (except with zero), multiplication, and exponents are all continuous operations

so any combination of them would yield a continuous function

this is not continuous

ergo, you cannot have a function made of those continuous operations that gives you what you want

tragic

If you allow piecewise functions its trivial

this only uses those operations (specifically none of them)

and is a function

I can make a function that arbitrarily approaches what you want though

my dreams and ambitions are already shattered so it's fine

although if you could make one that is 0/1 for whole numbers but continous between them

that would be a little cool at least

as d -> infinity, this will look more and more like what you want

that looks like this with d=100000

but when you zoom in its clearly not exactly what you want

this demonstrates the dynamics of the problem though

so full marks

what do you mean by 0/1

do you mean 0 or 1,

something like

for every whole number besides 1 it's 0

feels like that would be possible

but it can be continous inbetween

so f(2) = f(3) = ... = 0

but f(1) =/= 0

well f(a) =/= 0, meant 1 as in one of the numbers

oh you are saying, for all integers except one integer a, f = 0

okay

uh