In fact

So fuguer has the most elegant solution

Easily

Right that definite integral winds up being exactly what you need to make it a dereivative

^mcgee

oh yea that's true. integral from 1 to 1+h could be written as (F(1+h)-F(1))/h = dF/dx(1)

Exactly

There you go

You cracked it without numerical methods

I’m glad daddy checked it in Mathematica tho

now that I think about it it was dumb to try lol

Yeah that’s what’s beautiful you solve the integral without doing it at all lol

It’s zen

My mind is expanded

I would’ve gotten that sophomore year college though I’m guessing

We got malarkey like that all the time

I'd like to learn

more

Yeah this stuff gets harder as you’re less ingrained in all the tricks

but it would only be useful in times like these

Calc is the most useful math

Wrinkly brain discord

Arguably

Aside from maybe algebra

yeah

But that’s easy

algebra is even useful for the everyday man

Calculus has used

Uses for average joes

when ?

I’d you’re crafty

I was building a boat and used calculus to find the waterline on the vessel

Reminds me of one class where I solved this insanely hard integral using a -1st expansion of a maclaurin series

Double integral for volume of the hull, displacement of water therefore

It can be so beautiful when all the pieces come together

Archimedes principle

Then I knew where to put the watermark on the boat without putting it in the water

Because the specific weight of water is known

nice

It’s a paradox without calculus to solve

You can’t put it in the water without anti fouling paint

Calculus never stops giving.

learning the tricks isnt so important in my view. we can always brute force the answer with a for loop

But you don’t know how high to put the paint without the waterlevel

So you’re at an impasse

Just paint it everywhere

lol that would be mad ugly

then you spend more than you have to

<:autistic:435640902224969729>

Fouling paint is about the same expense as the super nice epifanes paint I use

What if the amount of paint changes the buoyancy

Pretty negligible

Now you need numerical methods lol

I would assume negligible

I was showing my son with numerical methods we could solve really hard equations arbitrarily close and the difference came down to less than the length of an atom

So not likely to matter

Mass added was a composite I wrote into the equation it included paint, average load and location of load center of gravity

what grade is he in?

9th

I learned basic numerical methods freshman year of high school

oh sounds like a good age for what you are doing

I guess that was 9th

Newton raphson was my first

Newton’s method

For me

9th? he should be concerned with getting married

Same thing 😉

Raphson added stuff

I learned that right after

true, once he's deported to china his intellect is what will attract his mate

You ever study the fast inverse square root? Carnac used it in quake maybe the first 3d FPS shooter lol

Brb something serious popped up

some roastie trying to get on his nuts through tinder

ive never studied it, but yea. it uses some floting point hack to pick the starting value

and then an iteration or two of newtons method

okay, i understand that now

https://en.wikipedia.org/wiki/Fast_inverse_square_root

on a parabola with roots at the sqrt

the comments are hilarious

there was some paper, linked to on that wikipage. someone makes a better one

they do some number crunching a find a better magic number

lol thats badass

@Nerthulas is no longer a part of our community

is it common for game designers, or any other programing discipline, to get mathementical breakthroughs due to pushing math to it's limits

no

just hacks?

3d games use math thats over a 100 years old

yeah

they're not pushing any boundaries

I mean it depends on your definition. It likely won’t be theoretical advances but they can innovate algorithms and numerical techniques

when you code a game,
you just do *what works* and don't give a shit about breaking the laws of thermodynamics

maybe that didn't come out right

is trump going to get impeached im not keeping up

lol

the are pushing hardware boundries though, and have a need for performance to be somewhat fast

They usually do that with sloppy hacks calling assembler code directly to manipulate the registers smarter than compiler would

That was mandatory in the old days to get decent graphics

anything interracial seems so unnatural and repulsive to me

seems like a fetish to me

well, it depends, some people do push the boudaries though,
but it's probably people working either for Nvidia, who look for workaround algorithms to speed things up,
or it could be someone working at Unity who is find some new funky way of doing raytracing..

i dont think they're pushing any boundaries. games are getting better cause the hardware people are making better chips

Algorithms are a type of math

No one can deny dudes like Knuth are gods

but it's rarely someone at Electronic Arts that will come up with some new math wiz kind of algo

Because most game devs are actually the lowest tier of coders

EA treats game devs like shit

yeah

95% of game devs have no idea how quaternions work. and probably not even matrices.

i almost got a job at nvidia

they just use them as black boxes

there was a black guy in the interview that I didn't mesh well with

Ehh I saw references to quaternions in some game code and it made me happy

expendable, like tissues,
when one doesn't workout anymore,
just throw it away and a new one pops up

I forget which game it was now

they use them for sure. but they dont know how they work trust me lol

You don’t wanna get gimbal lock do you glamp

gimbal lock aint real

Quarternions are so much better than SO3

its a miss application of rotation theory

It’s real

Gimbal lock is an inside job

It’s interesting how you can’t keep extending quaternions

You get octonions but that’s it

Or dual quaternions

And all that is so closely related to Clifford algebras and spin/relativity

they use implementation hacks

Guys

The UK's election results are in

Once, I was working on an IMU fusing data from 3 inertial sensors to find the orientation of a camera I was working on
and the easiest was to convert orientation coordinates into Quaternions to obtain the true orientation of the camera was pointing in, in real time

when are they really in?

auf der heide bluht ein kleines nacht

Nerthulas only likes Jeb! memes because he sees himself in Jeb

Also I have shaved and I look good

time to put on anime costume

Lmao

I have a package in the dining hall

@Str3tch Around midnight

I forgot to open it

I'm waiting for a package as well 😦

@Rody Le Cid that’s awesome

yeah, it was a cool project,
I was working doing firmware for a small company

oh, so like another 18 hours

@Rody Le Cid Are you an electrical engineer?

Stalin did some things wrong

yeah, EE

like pogroms against the Jews

Yese

He didnt take over all of Europe

mistake

I would do EE but I won't be able to make times for my Freemason meetups if I do that

I’m waiting for a project where I can use Grassmanian numbers

grassmanian

you just made that up 😉

are they ecofriendly

YES

FUCK LIBERALS

Spoderman

Who doesnt love him some Spoder

https://www.bitchute.com/video/L5p4jZIaw6KC/

wat

Why isn't liberalism banned?

<:sargone:576555026722586635>

Grassmanian numbers are anti commuting numbers such that a * b = - b * a

Try to think of an example 🙂

I'm Jewish

erm

id

the future is moshiach goyim

if a is 0? kek

No lol

whats special

One dimensional numbers aren’t rich enough you need matrixes like this

ew

I love grits

EW MATRICES

<:ew:651262076383264788>

angular matrices are really

nobody likes u linear algebra

the only use

I am gifted

but

So will my kids be

so

I don't have to do math

ty

💋

That’s beautiful man

welp[

atleast theres a lot of 0s

That’s why fermions create anti commuting wave functions and are subject to Pauli exclusion principle

Without anti commuting fields no solid matter would exist

@brainwash just try to figure it out

eventually if you keep understanding you'll figure it out

cross product

even i don't understand everything

https://youtu.be/x4Y7w8wqXJE

BOOMER

⛔

the geometric product if the two vectors are orthogonal

Hes a pre-boomer

a two form

Honestly linear algebra winds up making the math in QM super easy because you can differentiate all the linearly independent functionals without any cross terms

uh, the determinant

kek

I remember in school. you know who complained about math being hard?

women

Do you mean dot product for determining if two vectors are orthogonal ?

black people just didnt' show up

Inner product

no, i mean the geometric product in geometric algebra. its anti commutative a * b = - b * a

https://twitter.com/MedMike_/status/1205019252903645184?s=20

if the two vectors are orthogonal anyway

@Deleted User who is med mike, is that enoch

no he is my fren

@Deleted User u have a wife

<:Yes:639977935209627658>

14 yrs

https://twitter.com/ZoomerClips/status/1204978331352854528?s=20 jewish girl ashley st. clair

your wife is 14 yrs old?

@Deleted User HOW OLD AR U

That’s a great observation glamp

almost 40

Oof

not bad motivational speech

@Deleted User u act like a zoomer

<:Gun:639978512207314973>

kek

@Angry.

Boomer

@Deleted User have you watched gravity falls?

@BasedChris

honorary zoomer

that's cause boomers are retarded

How are you?

Tfw you backstab your very own people

@BasedChris is a stupid sperg who won't reproduce but I wish him the best if he does because I love him that is God's command inshallah

i have not is that a new movie? @Deleted User

Cope

@BasedChris I’m good, how are you?

I am doing well

Thank you

>implying Chris won’t reproduce

By the way