#serious-discussion

1 messages · Page 64 of 1

tiny saddle
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ranting be like

long matrix
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what good does this do anyone

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maybe take a load off your chest, sure.

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but u cant do it forever

neat lintel
hasty leaf
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But there will always be people that wanna protest too much

long matrix
#

i think protests tend to (try or claim) to be constructive also

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not just protest against shit without proposing any fixes monke

untold sage
untold sage
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Well you are complaining and you said complaining is protesting

tiny saddle
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Rant: complaining abt a situation which yr powerless in, or just wanna dish out yr feelings on smth with no particular end goal/point in mind
protest: fight for a change and make the change
There's a difference sip

long matrix
#

semantics, we thought u meant protest protest monke

hasty leaf
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You can protest against the protesters for protesting too much

neat lintel
long matrix
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it only does that if the complaining leads to constructive improvement ideas

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which leads to the protest

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without the improvement, theres nothing to do

neat lintel
hasty leaf
long matrix
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You can rant, but thats for yourself to get it off your chest

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not other people

neat lintel
hasty leaf
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Not for all thou

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Some found it fun

neat lintel
hasty leaf
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Sorry to hear that but many found it ok

tiny saddle
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doesn't mean u should shit on assert yr opinion on others

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even if I agree with u that's going too far pal

neat lintel
neat lintel
long matrix
#

its fine to tell everyone you found it shit

neat lintel
long matrix
#

after 100 times it might get a tad old.

neat lintel
hasty leaf
#

Do something about it maybe be a teacher

neat lintel
tiny saddle
#

if u keep repeating yrself yr gonna sound like an assertive broken record, even if u don't intend to sound as such

hasty leaf
neat lintel
sturdy quarry
hasty leaf
#

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hasty leaf
sturdy quarry
#

but I still gotta spend too many hours of my life learning how to add fractions

hasty leaf
#

That's ok

tiny saddle
tiny saddle
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that's... childish, but sure

neat lintel
sturdy quarry
tiny saddle
sturdy quarry
arctic wadi
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wht is 2+2 ?

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anyone?

neat lintel
arctic wadi
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UGH

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I NEED TO DO MY H.W

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TELL FAST

long matrix
#

is this a mod ping

arctic wadi
#

or my mom will kill me

long matrix
arctic wadi
#

8

long matrix
# arctic wadi 8

ok, then you should have the minimal maturity required to read channel topics and not mispost

arctic wadi
#

oi

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i was just kidding

sturdy quarry
arctic wadi
#

so ?

long matrix
arctic wadi
#

who u called kid huh

hollow zenith
#

,selfroles —list

fathom swallowBOT
#

Self assignable roles for this guild:

Helpers, studying!, Advanced, Talks, Role that does nothing, she/her, he/him, they/them, any pronouns, ask pronouns
```Use `,iam role1, role2, ...` to assign yourself roles.
Use `,iamnot role1, role2, ...` to remove the roles.
hollow zenith
#

,iam role5

fathom swallowBOT
#

No selfroles matching role5.
See ,selfroles --list for the list of valid selfroles.

void tundra
hollow zenith
#

Ye ok

umbral forge
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Is there a way to approximate the lowest value of |sin(n)| up to an integer n

cyan goblet
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sin(n) is bounded between 1 and -1 for any n

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thus |sin(n)| is bounded between 0 and 1

umbral forge
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Yes

long matrix
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isnt it 0

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???

cyan goblet
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no need to approximate the lowest value, it's just 0

umbral forge
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Like I’m asking if you check |sin(n)| for n=1, 2, 3… k

long matrix
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0 is an integer.

cyan goblet
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the lowest value will always be 0 lol

umbral forge
long matrix
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thats an awfully specific question, the answer is likely brute force

umbral forge
solid snow
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You have to check like 4 values

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And thassit

long matrix
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do u??

solid snow
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Since sin(n) is still periodic

long matrix
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huh

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no its natural n

solid snow
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Ya?

long matrix
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ud have to check all integers up to n

cyan goblet
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oh i see what you're saying

long matrix
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nani

umbral forge
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I worded that weirdly mb lol

cyan goblet
#

yeah just use periodicity of sin lol

long matrix
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nani????

umbral forge
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How is it periodic

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What

long matrix
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how are u using periodicity what???

umbral forge
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The period is 2pi

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That’s not an integer value

solid snow
#

Oh yeah you cant

long matrix
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this feels like a dynamical systems question

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i feel like u could get a nice answer using that

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otherwise, just brute force.

umbral forge
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I was wondering if something where the ratio between the approximation and the real value tends to 1 as n goes to infinity

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Existed

solid snow
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Proof: make the question easier an use |sin(npi/2)|

umbral forge
long matrix
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ok heres one approach

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youre on the unit circle

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it has circumference 2pi

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and so youre moving around 1 unit around circumference

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for every increase of 1 for the angle

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sin is the y value

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now youre looking for the point that is closest to the x axis

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So that is integers

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that is close to a multiple of pi

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I think

umbral forge
#

Yeah

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Sounds right

long matrix
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So computing the multiples of pi and checking which integers its close to

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is a way

umbral forge
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Can the continued fraction of pi be used for this

long matrix
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idk

umbral forge
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Fair enough lol

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Cause if you get an approximation of pi using a fraction a/b

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Then a would be close to the x axis

deep mango
surreal kindle
umbral forge
#

This is probably a bit too complicated to find but whatever I’ll try stuff

deep mango
#

this is a hard question, related to something called diophantine approximation

umbral forge
#

Oh yeah that seems to fit perfectly for this problem

deep mango
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Since |sin(x) - x| <= Cx^3 for x close to 0, we can translate this by pi to say that |sin(x) - (-1)^n(x - n pi)| ≤ C(x - n pi)^3 for x close to n pi, for each n

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Something like that

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And it's also lower bounded by a cubic with a different c

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Now you are interested in seeing how close x - n pi is to 0, for integer x

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In other words, how close x/n - pi is to 0

long matrix
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except im not sure how easy that is to compute

deep mango
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So this is directly related to the rate of diophantine approximation for pi

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Which is something that is difficult but somewhat understood

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(yes, this is a dynamical systems problem)

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(also transcendental number theory)

umbral forge
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Yeah this doesn’t sound like easy stuff but it does seem interesting

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Thx for the info I’ll look at what I can find about these opics

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Oh so this also concerns the irrationality measure of pi right

wooden flax
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@deep mango are you not mod anymore 🙁

long matrix
#

hes on strike.

deep mango
long matrix
#

there something wrong with this that I can't put my finger on.

wooden flax
#

This is random but can someone quickly spend 5-7 mins checking over my english essay

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thanks!

willow mulch
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i will check it for you

wooden flax
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ok thx

deep mango
wooden flax
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🙁

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I mean I thought help channels are for math-related stuff

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this was just a small english assignment i need to get done

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its a somewhat sensitive topic or i would have posted in #chill

tranquil cairn
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Chinese are pretty good

stark pelican
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I can’t tell if I’m just really slow or does no one in my class understand this lecturer

flint hound
#

question: how far away from the current position of earth was the pyramid of giza built?

old fox
# flint hound question: how far away from the current position of earth was the pyramid of giz...

That's a very interesting question. To answer it, we need to know when the Pyramid of Giza was built, where Earth is located in the Milky Way galaxy, and how long it takes for the Sun to orbit around the galactic center.

The Pyramid of Giza was built between 2580 BC and 2560 BC. Earth is located about 25,000 light-years away from both the galactic center and the rim of the Milky Way galaxy. It takes about 230 million years for our solar system to make one revolution around the galactic center.

To estimate how far away from Earth's current position was the Pyramid of Giza built in terms of the Sun's revolution around the galactic center, we can use a simple formula:

distance = speed x time

where speed is the average velocity of our solar system around the galactic center, which is about 514,000 mph, and time is how long ago was 2580 BC or 2560 BC from now.

Assuming that 2023 AD is now, we can calculate that 2580 BC was about 4603 years ago, and 2560 BC was about 4583 years ago. Therefore,

distance = 514000 x (4603 x 365 x 24) = 2.06 trillion miles

or

distance = 514000 x (4583 x 365 x 24) = 2.05 trillion miles

So we can say that when the Pyramid of Giza was built, Earth was roughly 2 trillion miles away from its current position in terms of the Sun's revolution around the galactic center.

However, this is only an approximation based on some assumptions and simplifications. For example, we ignored leap years and other calendar adjustments; we assumed that our solar system moves at a constant speed and direction; we neglected other motions such as Earth's rotation and orbit around the Sun; and we did not account for any gravitational perturbations or other factors that may affect our solar system's motion.

Therefore, a more accurate answer would require more sophisticated calculations using more precise data and models. I hope this helps you understand how complex this question is.

long matrix
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@wooden flax he will be back monke

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lets us continue

long matrix
wooden flax
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🙁

long matrix
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like this.

long matrix
#

here i guess

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and also.. like common sense maybe

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dont paste walls of text passing it as your own if it isnt?

neat lintel
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can someone help me identify this function

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does it look familiar to any of you?

brittle socket
mellow echo
#

Anyone have words of encouragement? I’m taking the ACT test today

devout nacelle
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Good luck!

brittle socket
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May you have good probability sotrue

cobalt star
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i do not understand what a differential is
are there notably well explanations

fading pulsar
cobalt star
#

wikipedia is quite scary for "Differential forms"

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these two boys look quite similar, i only noticed it didnt say u^u until i read the next line
arguably this is an accessibility issue

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i wonder if anyone has started an action against computer modern family of fonts for being inaccessible

long matrix
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u and v smh

eager reef
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what about differentials confuses you

long matrix
#

the symbols of u and v

cobalt star
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what is it supposed to represent

fathom swallowBOT
eager reef
#

common choice for wedge products

cobalt star
#

oof forgot to turn off ping sorry

eager reef
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no worries

flint hound
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the correct answer to the question i posted a few hours ago is 3.5 light years.

cobalt star
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i suppose i am looking for about 2-10 pages of exploration of what a differential is supposed to be

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as a good quality text which does this is hard to find, i come here, in the hope that someone else might have beaten this track before and might have a good text to recommend

river moon
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df is a differential of f, for fixed x it's a linear function of dx

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indeed, for fixed x f'(x) is a number, then f'(x) * dx has form a*dx which is a linear function of dx

cobalt star
#

that property seems rather obvious at the first read

tall minnow
# cobalt star from https://en.wikipedia.org/wiki/Differential_of_a_function what is `d f(x) = ...

On a differentiable manifold, the exterior derivative extends the concept of the differential of a function to differential forms of higher degree. The exterior derivative was first described in its current form by Élie Cartan in 1899. The resulting calculus, known as exterior calculus, allows for a natural, metric-independent generalization of ...

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it's just as people say, differential forms, and the exterior derivative

river moon
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differential operates with finite dx like any function would, so things like df(x)/dx = f'(x) don't really make sense to do

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namely because 1) that's not what the derivative actually equal to and 2) you're transforming it into an implicit form like y/x = 5 instead of leaving it as is y = 5x

cobalt star
#

that's not what the derivative actually equal to
really?

river moon
#

$f'(x) = \lim_{\Delta x \to 0}\frac{f(x+\Delta x) - f(x)}{\Delta x}$ or alternative definition is $\ f(x+\Delta x) = f(x) + f'(x) \cdot \Delta x + o(\Delta x) \$ meanwhile the differential is defined as $df(x,\Delta x) = f'(x) \cdot \Delta x$

fathom swallowBOT
#

Transparent_Elemental

river moon
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in other words $f(x+\Delta x) - f(x) = f'(x) \cdot \Delta x + o(\Delta x) \neq \ \neq f'(x) \cdot \Delta x = df(x,\Delta x)$

fathom swallowBOT
#

Transparent_Elemental

cobalt star
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whats o(x) supposed to represent?

long matrix
#

'little o notation'

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lookitup

river moon
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it's a function such that it approaches 0 faster than Delta x whenever Delta x approaches 0

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it contains all the non-linear terms of this expansion f(x+Delta x) - f(x) that aren't accounted by differential

cobalt star
#

ah

river moon
#

so while the true change in function is equal to f(x+Delta x) - f(x) the differential is only approximately equal to that change for small Delta x

leaden torrent
#

if youre familiar with big O notation (say from algorithmic complexity), big O is the ≤ to little o's <

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[there's more nuance than that but that's close enough]

cobalt star
#

that has magically cleared up a lot

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thank you

cobalt star
# river moon $f'(x) = \lim_{\Delta x \to 0}\frac{f(x+\Delta x) - f(x)}{\Delta x}$ or alternat...

forgive my simple question, but how did $o(x)$ appear? i tried to follow what happens when you do that transfromation and got this far:
$$
\begin{aligned}
f'(x) &= \frac{f(x+\Delta x) - f(x)}{\Delta x}\
f'(x) * \Delta x &= f(x+\Delta x) - f(x)\
f'(x) * \Delta x + f(x) &= f(x+\Delta x)\
\end{aligned}
$$

so i assume the $o(x)$ is a byproduct of the limit being there, however even when taking into account the limit, not much changes.

where does the o(x) come from?

fathom swallowBOT
#

erentar2002

river moon
fathom swallowBOT
#

Transparent_Elemental

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Transparent_Elemental

cobalt star
#

ah

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great

mental flax
#

Guys, I used a method to answer a question- my teacher gave me 0 out of 3 even though the answer was the exact same using her method. I have been explaining my method the entire day- even wrote a 10-page explanation for it but she is still not convinced. What to do 😭

fading pulsar
#

Post your method

river moon
# cobalt star great

you might find in some real analysis books proof that the two definitions (via the limit and via the expansion are equivalent and one implies the other), though that's turns out to be not quite true quite a bit later on

cobalt star
mental flax
old fox
mental flax
#

I have posted it there

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although I have included only the main point of my explanation there

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pls help 😭

cobalt star
#

on a side note,

though that's turns out to be not quite true quite a bit later on
i have seen this happen to me many times. what is the justification for doing this? it's called "lying to children" by somebody notable, i am sure

river moon
#

I guess the justification is that it requires working with functions of multiple variables instead of single variable to notice the difference and looking at a derivative as a linear operator, which requires a bunch of extra operator theory knowledge

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in single variable calculus you don't see the sharp difference between things like differential and derivative because both are numbers, but in more general context they aren't even the same kind of object

cobalt star
#

ooh

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great!

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thank you very much for telling that last bit

tight comet
cobalt star
#

believe me when you are dealing with an idiot like me, it does help

cinder zephyr
#

if you're self studying analysis there are better first texts

cobalt star
#

yes, tell me where the good stuff at

cinder zephyr
#

I used Rosenlicht

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I liked it alot

velvet dagger
#

As if we haven't had enough analysis books already

cinder zephyr
#

Rudin has a habit for writing the most concise proofs possible, which is nice as a reference

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but not good for learning

cobalt star
cinder zephyr
tall minnow
#

aruhodo it's not like we have discussed rudin a billion times

cobalt star
#

ah
sorry
i should have read up the chat history

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i will search for rudin and read all relevant discussions

velvet dagger
#

You don't need to lol

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Just that when we have a full book recs channel

cobalt star
#

it was a joke
i am sure the query results will be about 2TB on its own

velvet dagger
#

Feels like saying "It's hard to get a book rec here" is kinda talking shit lmfao

cobalt star
#

it is talking shit

tall minnow
#

if you want chatty / insightful, try Tao's Analysis 1.

cobalt star
#

i suppose i could have done it less shit talky

velvet dagger
#

Whatever you intended it to be it just sounded dumb lol

cobalt star
#

it weirdly feels like a delightful children's book version of rudin
rudin felt like sandpaper in contrast
although, i am just at the start of the book

cinder zephyr
#

chatty books are the best books

slim shale
#

What should I learn for go to German university? Like what kind of math Algebra? geometry? trigonometry?

woven whale
#

except maybe like

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the language

slim shale
#

So just learn German

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And it's all ?@woven whale

woven whale
#

yeah. there are precourses for a reason

slim shale
#

@woven whale okay thanks. Why you know it ? Are you from German or you also wanna go to there?

surreal sapphire
#

what do you want to study pyguy

slim shale
#

It (CS ) computer Science or something finance/ languages but it for fun

surreal sapphire
#

well, the prereqs will differ obviously but a "standard" highschool education is enough

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if you want to do a bachelors in germany, you must likely need to know the language

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for a masters only, english is fine in most cases

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though living in a country you probably want to speak the language anyway

slim shale
surreal sapphire
#

masters classes are usually offered in english

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its as free as the bachelor

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no idea how it is for internationals exactly

slim shale
#

Thanks a lot

slim shale
#

Cool

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Why here so many Germans ?

hearty widget
# slim shale Why and it's still free ?

Someone from England started the degree with me in Germany and he said it was very annoying to get everything sorted out with german authorities/german university.
He was stressed out at the beginning of the semester lol

long matrix
#

'sorted' ?

hearty widget
#

Is this not a phrase? "To sort something out"

long matrix
#

yes but i mean what

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'very annoying to get everything sorted out with german authorities/german university'

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i was wondering what u meant by "everything".

hearty widget
#

Hmm i guess the paperwork for everything, moving to germany and stuff.
Also getting his highschool degree accepted, meeting language requirements.
He was technically not enrolled until one month into the semester.
Also he complained about admission offices being incompetent.

long matrix
#

ouch.

hearty widget
#

I didnt dig deeper, but my impression was that its stressfull

dapper current
#

if youre trying to help in the help channel is it ever acceptable to just give them the answer if they arent getting it otherwise

fringe summit
#

No

dapper current
#

okay

wide marsh
#

hi

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i am new

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i am from mexico

royal cradle
#

im listening to charles ives now

fringe summit
#

Nice

royal cradle
#

or perhaps i am missing the point

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give me more

cinder zephyr
#

was fun

royal cradle
#

really?!

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which one

cinder zephyr
#

we played Variations on America

fringe summit
pallid pike
slim shale
fading zealot
#

Is the probability that two odd numbers are coprime just 6/π²/(1-1/2)² ?

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Checking just to be safe

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Because the frequency of multiples of odd numbers in a sequence of odd numbers is the same as the sequence of all positive integers

hearty widget
slim shale
neat lintel
atomic haven
#

lets say u have a perfect birthday cake and ur allowed to take a circular slice of any radius

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how would u take a slice such that you get the most amount of cream?

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relative to if u take a slice of the same radius but in a different region of the cake

barren anchor
#

you're messing the question up I think

fallen current
#

Hm what's the quickest way to get over burnout

woven whale
hearty shard
#

Hey i am looking for some people who can help in my research on maths

woven whale
#

the collatz conjecture?

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the riemann hypothesis?

hearty shard
#

Rieman hypothesis

woven whale
#

what do you have so far?

hearty shard
#

Not quite a lot

#

I started it recently

woven whale
#

how much complex analysis do you know to begin with?

hearty shard
eager reef
#

Is there a holomorphic function f: C -> C such that f(C)=S^1?

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this is the only question from a complex analysis exam that i remember

eager reef
#

sure

hearty shard
#

I think that there is

#

no such holomorphic function f: C -> C that maps the entire complex plane to the unit circle S^1.

This is a consequence of Liouville's theorem, which states that any bounded entire function is constant. If such a holomorphic function f existed, then it would be bounded since it maps the unbounded complex plane to the compact set S^1, but it cannot be constant since it maps the entire plane onto the non-constant circle. This contradicts Liouville's theorem and hence there can be no such holomorphic function.

woven whale
#

that looks like chatgpt

hearty shard
#

What is that?

dapper badge
#

hm

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there are lots of ways to solve this methinks

hearty shard
#

Bye

fallen current
tall minnow
#

It probably is a chatbot answer

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Real humans don't bother to write formally in an informal setting

eager reef
#

Interesting, i asked chatgpt and it gave a different but correct answer

tall minnow
#

No humans would unironically write unbounded complex plane, and then mention it again needlessly in the same sentence as the entire plane

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And it's from an account I already blocked too so it did something sus in the past

eager reef
#

lol

fading pulsar
#

Lol you're right, it does sound really chatgpt

tall minnow
#

If simple questions could be done by chatbots we may have to up the difficulty

frail lagoon
#

Open mapping theorem

woven whale
neat lintel
#

is anyone here a phd student who could review my resume

sharp cave
#

AI part 2

storm sage
#

LOL

fringe summit
#

Namely the sine function and the identity function

storm sage
#

genius

neat lintel
#

You are epic this server needs much more stuff like this

storm sage
#

🫂

vapid wasp
#

?

cloud shadow
#

What do u guys think about these results

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Is it ok to get 8%.I fucking tanked that

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I feel soo shit I got the lowest. Not even double digits

dapper current
#

what class is it for

cloud shadow
#

structural engineering

patent robin
#

If anyone can help me dm me

fringe summit
cold needle
#

yeah im going to delete that

flint hound
#

prove the reduced lagrangian space of the lambert W function is a perfectoid space which implies automorphic forms on the gamma axis, assuming #❓how-to-get-help does not exist?

solid snow
fluid jungle
#

I love how the dumb shit on the discussion channels is a daily occurence

hearty widget
#

Does anyone have recommendations on "math-y" applications of computer science.
Context: have to pick a minor next to math major, tried computer science ("Informatik 1"/"computer science 1", basically did basic haskell, basic java with and general computer science basics I think). I didnt really enjoy the class, Im also not really immersed in computer science in general, but I want to give it a honest chance.
I did enjoy my math classes, so I think im looking to have some goal/motivation/application for the class, by finding something where I can apply the stuff in a setting I already like I guess (or something along the lines).
Also maybe something employable, im not sure how the real world works and how relevant the stuff you learn in a 3 semester progression is.

I asked a friend that recommended cryptography. That I will check out and see how I like it.

ripe thistle
#

hi

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could i have some help on my mathmatics test coming up

#

?

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im new to this group

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so

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👍

halcyon lichen
chilly hull
#

we cant help on the test directly

cinder zephyr
#

there's alot of math if you know where to look

#

take an algorithms course and a complexity theory course, that's the basis of theoretical CS

ripe thistle
#

so i got 70 out of 90

neat lintel
#

I came to the conclusion that socializing on SMs is bad, i will permanently stick with my codes and maths

#

Is the book "Calculus Made Easy" a good start for someone to refresh their high school math in calculus

deep mango
#

(it uses infinitessimals instead of limits, which isn't really rigorous)

#

I like the book though

hearty widget
cinder zephyr
#

so yea take that data structures course and see if you can add another algorithms / complexity course after that

ripe thistle
#

hey wasup guys

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yall stink

#

jk

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love you all

wooden flax
#

LOL today i took a coding competition

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big one

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and i expected it to be algorithm/logic shit

#

and it was fucking swift/ruby syntax

analog salmon
storm sage
#

(this is a joke)

deep mango
#

To be fair

#

it's not like most calculus books prove their limits

#

and you can certainly make the things silvanus does rigorous

#

it's not standard though

atomic hornet
gritty plank
#

You know Stewart gets a lot of gruff but he does actually prove the theorems he states in his book. The way he makes it approachable is by restricting every theorem to 1d compact intervals, but it's a perfectly consistent framework for a first calc course.

atomic hornet
#

I didnt think stewart gets a lot of gruff

#

Its a standard calculus book used by many universities

gritty plank
#

Maybe I'm in good company then. When I was an undergrad (late '00s) it was common for people looking to dunk on something to come up with a litany of complaints about Stewart, which I think was due to how widespread it was.

leaden eagle
dusty grove
#

Very good

fading pulsar
#

Slowly becoming addicted to coffee, been getting a morning coffee for almost a week now

#

Not a fan

deep mango
#

Coffee AWOOKEN

vivid halo
#

Embrace it. Although maybe make your own coffee, it's much cheaper. Buying coffee every day is convenient but so expensive shiver

burnt kettle
#

Buy a bottle of caffeine pills

#

If you do the cost/caffeine it's soooo much more efficient

#

Just much more degenerate

#

It's also way less "hard hitting" compared to a coffee

#

Pills typically slow release

vivid halo
#

depends on the pill, a lot are fast release

#

also substantially healthier than a lot of the over sweetened coffee that a lot of people drink

fading pulsar
#

I'm not that addicted that I need a pill bleak I just get a black coffee every day lol

vivid halo
#

I mean it does tend to increase productivity, so there are good reasons to take it every day, and hence reasons to take it cheaply every day nozoomi

fading pulsar
#

Oh ok for some reason I thought it was like for coffee addicts who need an extra large hit of caffeine opencry

vivid halo
#

also it's nice since it's not acidic like coffee

#

so theoretically easier on the stomach

fading pulsar
#

I’ll look into it sometime when I get tired of coffee and just need the caffeine

vivid halo
#

also you can get caffeine pills that have l-theanine which is an amino acid that's found in like green tea and stuff that makes some of the side effects of caffeine milder

#

or people just get separate l-theanine pills or whatever

bronze pelican
#

Thats ryc

cunning compass
#

Bird activities

sacred lagoon
#

@cunning compass are you the one running the insta acc fru1ty?

cunning compass
#

Maybe

regal night
#

Math server seems saner than physics server while i would usually expect the opposite

safe parrot
#

math>>>>>>physics

#

simple as that!

gritty plank
tall minnow
#

least prideful math enjoyer

solid snow
#

what part of math gives you a deep insight into the universe

vivid halo
#

mathematical physics lmao

steady fossil
#

Algebraic geometry

#

Obviously the most useful for understanding the universe.

vivid halo
#

I don't think there is another field of mathematics where the feeling of discovery (as opposed to invention) is as strong as in the Langlands program

#

not so unrelated to mathematical physics either

#

a big portion of Langlands is "just" studying quantum mechanics on arithmetic locally symmetric spaces

#

lots of stuff in geometric Langlands is literally proved using the language of quantum field theory, etc etc

gritty plank
tall minnow
#

aka studying the Laplacian

tall minnow
#

most of physics boils down to PDEs

vivid halo
#

yeah so basically unless you're studying the spectrum of a laplacian, you're not doing math

tall minnow
#

rikasmug no you're just preparing yourself to study the spectrum of the laplacian

dapper current
#

the graph laplacian seems so much simpler than the differential one

burnt dune
#

yo mods

#

<@&268886789983436800>

#

why remove #challenge-problems

leaden torrent
#

this was literally years ago

#

no one was maintaining it

burnt dune
#

bro im literally a problem solver and never got my tag

#

u literally cheat me

odd narwhal
#

????

leaden torrent
#

i dont think the roles even exist anymore

#

why are you complaining about this

odd narwhal
#

have you just now noticed this?

leaden torrent
#

if you want to put it in your about me "used to be a problem solver on discord.gg/math 3 years ago"

#

i wont stop you

#

but we literally have no mechanism to display this

burnt dune
#

just make a channel

#

like u had

#

whats so impossible about it

#

it was fun and it had cool problems

burnt dune
#

and i was asking why did u remove it and u do not want to answer me so 😦

surreal sapphire
dapper current
#

was it like olympiad problems?

surreal sapphire
#

its archived

odd narwhal
#

then why are you asking now

#

when it's been 3 years

surreal sapphire
#

the problems still exist

burnt dune
#

doesnt matter @odd narwhal

odd narwhal
leaden torrent
burnt dune
surreal sapphire
#

its shown

burnt dune
leaden torrent
#

pretty sure the problems are still listed somewhere

surreal sapphire
#

the archivist role is self assignable

leaden torrent
#

yeah

burnt dune
#

u couldnt type in the channel

odd narwhal
#

you are welcome to self-assign the archivist role to see the old problems

leaden torrent
#

it took a lot of work

#

like many hours a week

#

if you just want the problems, self-assign the archivist role and check them out

burnt dune
#

maintainers? do u mean the people who pose the problems?

leaden torrent
#

but the infrastructure around getting the role and stuff was just unsustainable as the server grew

#

i mean the people who added the problems and verified user-submitted solutions and managed the spreadsheet and assigned roles

burnt dune
#

ig shits realer than i thought

#

how do i self assign archive

leaden torrent
#

it was basically asking people to grade dozens of homework problems a week for free

burnt dune
delicate mulch
#

also why was this a mod ping sully

burnt dune
#

alot of the problems can be solved by arguments u see in actual math textbooks

leaden torrent
burnt dune
#

cool ty

leaden torrent
#

exclusive leaks on the sidebar

surreal sapphire
#

namington...

sleek wing
#

helpers lounge
HELLOOOO

tight comet
#

HELPERS LOUNGE!?

leaden torrent
#

the channel names are public info so it doesnt matter lmfao

#

you can get them with an API call

#

or with a third party extension

surreal sapphire
#

they arent public public

#

third party extension is against TOS

#

API calls are tech magic

leaden torrent
#

but API calls are not

sleek wing
#

MATH HELP (AVAILABLE)?!?!

surreal sapphire
#

see, you made wew excited

tight comet
next schooner
#

try being helpful init

surreal sapphire
#

so why can nami see it then

leaden torrent
#

nepotism

delicate mulch
#

namingtism

odd narwhal
#

nami is a filthy cheater

#

hey why am I not in the ivory tower

tight comet
#

That's not possible

frail lagoon
#

What even is ivory

#

Joking

odd narwhal
#

idk potato, seems like the admins are keeping secrets from us

leaden torrent
#

the secret to getting ivory access is to play umineko

#

trust

frail lagoon
#

Shin you shouldn't be in ivory anyway as a vegan

leaden torrent
frail lagoon
#

Umineko

swift sinew
#

what the fuck is ivory

sleek wing
odd narwhal
#

I fucking hate you namington

eager reef
delicate mulch
#

what is ivory

odd narwhal
#

❤️

delicate mulch
#

why don't I have access??

odd narwhal
next schooner
#

Who else wants to do the meme

sleek wing
#

imagine being in such a evil channel talking about the poaching of elephants

leaden torrent
delicate mulch
odd narwhal
delicate mulch
next schooner
#

Pls gifsin chill

swift sinew
frail lagoon
leaden torrent
#

i think umineko is relevant to mathematics

#

i mean it explains what a contrapositive is

frail lagoon
#

That is the real drama

#

Jk it kinda makes sense

#

But it also early uni at same time

leaden torrent
#

so

frail lagoon
#

Make 1000 chanesls

leaden torrent
#

so is real anal

frail lagoon
#

That is true lol

swift sinew
frail lagoon
#

Group theory is hard though

frail lagoon
#

Imaginary and real at once

swift sinew
#

0 isnt a number so

leaden torrent
#

intro groups is way easier than intro analysis since intro groups is literally "do u understand definitions" and "can u prove an implicational"

frail lagoon
#

Okay fair point

leaden torrent
#

whereas intro analysis sometimes requires like

#

constructing functions

#

that do something u want

#

and shit

leaden torrent
#

like the proof of MVT

frail lagoon
#

Hm I may have had a different experience of groups then

sleek wing
# frail lagoon Jk

Thank goodness you said that I was about to get really angry and say naughty words

frail lagoon
#

But ye at first

#

Definitely just definition pushing

#

What should I cook for dinner guys

swift sinew
#

potato

next schooner
#

ye
wow kinda inappropriate potat

frail lagoon
#

I have kidney beans and rice

#

And onions

#

Hm

next schooner
#

Chili

#

Duh

frail lagoon
#

maybe could turn it into a chili if I buy more

swift sinew
#

kidney beans and rice and onion soup

sleek wing
frail lagoon
#

Lol

leaden torrent
sleek wing
#

I had chilli for tea 2nite

frail lagoon
#

Ok

swift sinew
#

!anime

frail lagoon
#

I have lots of soybeans so gonna make some tofu soon

sleek wing
frail lagoon
#

Peng

next schooner
#

Ugh discussy 2 feels weird i don't like it in here

sleek wing
leaden torrent
#

this is the new [redacted]

next schooner
#

Feels like I'm chatting behind a bikeshed

leaden torrent
#

nah modern ivory is too vanilla

swift sinew
sleek wing
next schooner
#

U cut me deep

swift sinew
#

wew acting like he doesnt know the poverty life

frail lagoon
#

Just cause he's a northerner doesn't make him a povo

odd narwhal
#

is this a bikeshedding joke rat

frail lagoon
#

very classiest of u

#

*classist

swift sinew
#

yes i am a classiest

sleek wing
#

Ok so “behind the bikesheds” has vastly different implications to me than it does to you people

frail lagoon
#

To me it means like drugs or redacted

odd narwhal
#

I am a classicist

next schooner
#

Yeah

sleek wing
#

I am simply retrieving my bike

next schooner
#

Drugs and or redacted

swift sinew
#

oh is that why the anime command doesnt work here

frail lagoon
#

Lol

next schooner
#

Your bike goes in the shed not behind it

sleek wing
#

Your bike might

odd narwhal
#

I thought it was a bikeshedding joke bleakkekw

next schooner
#

What is bikeshedding

sleek wing
next schooner
#

thoughbeit

swift sinew
#

thoughbeit is unhinged

odd narwhal
#

it's when you spend a disproportionate amount of time on trivial issues

leaden torrent
odd narwhal
#

instead of the important stuff

swift sinew
odd narwhal
#

it comes from a hypothetical example of a committee that is supposed to design a powerplant but spends too much time thinking about the materials for the staff bikeshed

neon tundra
#

Not even the materials, just which color to paint it.

native grotto
#

Hi, im seeking advice, and i was wondering if this is the right place to ask some questions. its not a particular math problem or anything like that.

leaden torrent
#

that's vague

#

you can ask questions here if they dont relate to any particular math topic

native grotto
#

ok well then yeah ill go ahead. Im at uni and my course doesnt have much math in it(biomed) and i picked a module that does. I failed my high school math pretty much and I have no mathematical literacy beyond basic arithmetic. I am quite overwhelmed and not sure how to learn everything i need to in correct order.

neat lintel
#

so, in a multiplayer game, if you give someone no power over the game it will feel not so exciting, but if you give everyone power the game is chaos and any decision has no impact ultimately will feel as if you dont have power. how to avoid this?

deep fiber
#

Embrace chaos

neat lintel
#

i want the players to feel as if their choices and decisions have great impact

deep fiber
#

Garry’s Mod

#

Chaoooss reigns

neat lintel
#

aint it singleplayer

#

i guess the absolute power is single player

lavish kayak
frigid shuttle
#

do you like wittgenstein @supple flame

#

why

#

@supple flame do you reject mathematical platonism then?

#

you accept it?

elder notch
open aspen
#

Or pick a module (whatever that is) that has less math?

#

But if you're in a major that requires a biomed class, you're going to need to learn more than basic arithmetic at some point anyways

tired sedge
#

hey, is anyone here writing blog posts about STEM topics? How do you find the correct depth of a topic? Every time I'm thinking about writing stuff up that I learned or worked on, I somehow get lost in a rabbit hole of research and end up discarding it altogether. On the one hand I don't want want to cover stuff shallowly (e.g. the infamous medium post) but on the other hand I get overwhelmed by the depth the topic actual has and the more I look into it, the more incomplete my knowledge feels. Suddenly I have the unreasonable urge to "cover it all", but this quickly grows out of hand and then I just give up on it 😩

devout nacelle
#

I think it's a good idea to stick to a concrete idea of what you want to cover in a single post

#

For instance in mathematics it could be the proof of a certain technical theorem with expository padding, and then you have a pretty good idea of what all you want to talk about

#

If you pick a broad topic then you still might want to narrow down the sub-points or aspects you would like to talk about

#

And you might want to reasonably cut down a lot of technical fluff for overview type of posts, unless you plan to scatter them across several posts

steep spindle
#

Dose anybody knows that do always the three medians of the triangle pass at a same point?

#

is it yes?

tall minnow
#

yes it's call the barycenter / centroid

#

!help

quasi jettyBOT
steep spindle
#

how to proove that a cyclic trapezium is a isosceles trapexium

tall minnow
#

read the rules

neat lintel
#

!help

quasi jettyBOT
neat lintel
#

See i rly dont have that

tall minnow
#

see channels & roles -> browse channels

leaden torrent
#

this discord change has confused a lot of people

#

no clue why they implemented it like they did

neat lintel
#

Thnx got it

burnt dune
#

yoo

#

the shit you see with like sliding paths

#

homotopy over topology

#

turns out this shit is everywhere

#

not just with topology

#

lmfao

frail lagoon
#

wdym lol

calm wharf
#

Do any of you study math at Harvard, MIT, University of California, Santa Cruz or Wellesley College? (especially Harvard). I have a question for you. Just dm me or reply.

untold sapphire
#

This is the single actually funny joke i have ever made

deep mango
#

I graduated though

#

Oh you said Santa Cruz

#

nevermind

untold sapphire
#

helps you to compute line integrals.

open aspen
shrewd ocean
#

i'm not the one to say but combinatorics seems like such a niche topic

#

i don't think i've ever touched it in my life until now

#

i'm in grade 10th for context

#

especially when compared to algebra, geometry, and number theory

neat lintel
neat lintel
#

you know, i once heard someone say that combinators is apart of your everyday life, weather you realize it or not.

static loom
#

idk, depends on how charitable you want to be with interpreting that

#

did they give any examples

open aspen
#

Combinatorics is certainly not niche

#

Well I mean, depends on what you mean by niche I suppose. Any field of math that isn’t grade school algebra is niche on a global scale I suppose

torn willow
#

Well linear algebra and calc are also not niche

frigid matrix
#

combinatorics is not niche

static loom
#

every morning before I put on my clothes, I have to create a generating function for the rest of my week that tells me the possible amount of ways to wear them

frigid matrix
#

are you in gradschool?

static loom
#

combinatorics is an unignorable part of everyone's life

torn willow
#

I mean if you are thinking of combi as "counting", I believe it's everywhere in software engineering

frigid matrix
#

its everywhere in math research

#

there are lots of tools to solve enumerative problems using combinatorics

open aspen
#

Who is “you”

frigid matrix
#

and people in math love conversions of problems into enumerative or linear algebra questions

torn willow
#

the metaphorical you that exists everywhere but nowhere at the same time

static loom
#

let's face it, before the Weil Conjectures were proven, society was a mess

#

every time we use elliptic curve cryptography to secure our communications and money transfers, we rely on our cashiers double checking the parameters of NIST approved curves so that we feel safe

torn willow
#

Ideally software engineering is about counting things imo

static loom
#

even videogames are about counting, who didn't grow up as a kid contemplating ash ketchum's famous phrase regarding binomial coefficients and imaginary numbers

neat lintel
frigid matrix
#

oh

#

ttera hi

#

remember me?

#

big fan here 👋

torn willow
#

I mean traditional good JRPGs were about counting

#

"What's the ideal sequence of attacks to deal with this enemy group"

fading pulsar
#

so true

neat lintel
neat lintel
torn willow
#

"Is the ideal sequence sustainable"

#

And that mentality leads to item hoarding

static loom
#

ideal sequences? like noetherianess?

torn willow
#

No, like "Fira-all, suplex, slash , slash"

#

Fira will take care of the weak enemies, suplex will destroy that one strong enemy

#

Slash will clean up the remaining

#

You can replace one slash with one crossbow to further improve cleanup

frigid matrix
neat lintel
#

my condolences

torn willow
#

Other sequences of attacks will make you spend more than 1 turn in a regular battle

torn willow
frigid matrix
#

how do you like grad school so far ttera

torn willow
#

slash,suplex,fira-all and slash can fail

neat lintel
frigid matrix
#

i remember that you go to uoft

#

went?

neat lintel
#

happy birthday @cold needle !

frigid matrix
#

i remember u were diffgeo interested

#

if ur not grad school ur job?

neat lintel
#

no i'm still doing my undergraduate

frigid matrix
#

job after?

neat lintel
#

no

frigid matrix
#

!

#

what comes next?

open aspen
#

Undergrad forever

#

7th year babbyyyy

neat lintel
#

:)

frigid matrix
#

ur jking rn

open aspen
#

Tterra manifesting cv energy

neat lintel
#

not joking

#

at all

#

dead serious

frigid matrix
#

ur going to reapply to another undergrad?

#

ig why extend undergrad is my Q

neat lintel
#

personal reasons

frigid matrix
#

naruhodo

#

what math classes u taking nex sem

neat lintel
#

no clue

weak cosmos
#

hey guys

dusty grove
#

Hey

molten crystal
#

hey

warm hare
#

hey

dusty grove
#

You all doing great?

ripe wasp
#

bruh 💀

long matrix
#

<@&268886789983436800>

sturdy quarry
slim shale
#

What if I have 2 (f) in math and I don't understand it .

What should I do?

stay for 2 years in the same class?

neat lintel
#

çok üzgünüm türkçem iyi değil ama ihtiyacın olan bir şey var mı haha?

#

Öyle mi? 😅 çok teşekkürler

#

hmm

#

hmm türkçe server ben de bilmiyorum maalesef 😭

#

teşekkürler çok tatlısın abla 🥲

#

sana arkadaşlık isteği göndereceğim haha

elfin ridge
#

Is it worth it to learn Turkish?

neat lintel
#

no probably not

elfin ridge
#

Hmm

neat lintel
#

@deep mango hello ryc!

long matrix
#

wyc wyc

neat lintel
#

i came to you for advice, regarding MATLAB, since I kind of talked with you about it a month ago or something and u r the only person here who I know is familiar with it LMAO

neat lintel
deep mango
#

sure

long matrix
#

quit learning it

deep mango
#

but only if you stop replacing letters with w

long matrix
#

WHAT

#

NO

neat lintel
#

i just started getting into matlab so i am really not sure how to start going about it, was just thinking to ask for advice on good resources to gain more knowledge for this and such 🤔

#

i mean my university is pretty strict with plagiarism

#

so thats probably an insta 0

deep mango
#

how could you possibly not be allowed to use that

neat lintel
#

oh hmm alright

#

so that solves it

deep mango
#

i don't really know how to use matlab app designer

#

or anything about any of this

#

yeah that's just gonna translate the audio file to a signal

#

which you can do whatever you like with

#

they don't expect you to decode an audio file format

neat lintel
#

okay thats great because that's what i was most worried about

#

the fourier transform and signal manipulation seems easy enough

deep mango
#

these are probably the functions you actually want

neat lintel
#

alright thats great i will just mess around with those

#

user interface stuff seems pain but that should be tedious rather than hard i guess

lost crane
#

anyone know if theres somewhere i can find tasks for a 15/16 year old that i can do at home to get ready for engineering school?

alpine kindle
long matrix
#

math server: build a bridge

open aspen
#

Build a trebuchet

pseudo sleet
neat lintel
#

A performance of Henryk Wieniawski's Capriccio Valse, op. 7, for violin and piano, as revised by Friedrich Hermann. The performance is that of Bartek Nizioł on violin and Andrzej Tatarski on piano, which can be heard at the hyper-link listed below. The score is taken from the IMSLP – Petrucci Music Library Web-site, and can be viewed at the hype...

▶ Play video
fresh patio
#

Somehow I feel like I understand the material of this course to the point of being able to ace the exam but also like I know nothing about the subject

#

Never felt like that before and it's really weird

neat lintel
#

hmmm

brittle socket
abstract lion
static loom
#

fun

sharp cave
#

CS imo, if you think you won't have the time/discipline to learn a language by yourself.

torn willow
#

Stats is more useful tho

untold sapphire
#

You think you can cleanly rank two completely different disciplines?

#

by "usefulness"?

fading pulsar
torn willow
#

I mean for getting cs jobs, cs minor won't really be useful apart skill wise

#

It's all LC anyway

#

And if it's not LC, it's stats

hasty leaf
#

Yeet code

torn willow
#

I guess if you don't care about jobs, cs minor is fine

hasty leaf
#

Yeah stats very useful

surreal sapphire
#

what is LC

hasty leaf
#

Leet Code

torn willow
#

Leetcode

hasty leaf
#

Where people yeet code into the site lmao

fading pulsar
#

leetcode sotrue

surreal sapphire
#

never used whatcanisay

fading pulsar
#

most braindead shit ever

hasty leaf
#

Same

fading pulsar
#

just watch me not be able to solve any leetcode problems when I graduate tho

#

I haven't coded since I got into my internship last summer, been almost a year since I touched any code

#

only math since then

torn willow
#

If you have a shitty cs education, Leetcode is significantly more interesting than any of your education

fading pulsar
#

huh

#

I'm pretty sure a single class in cs

#

covers leetcode lol

#

don't you take like algorithms in your first semester or something

fading pulsar
#

Where you go through something like CLRS

torn willow
#

It doesn't

#

Yeah but for me,it was just "sorting"

fading pulsar
#

bruh

#

wtf

torn willow
#

Yeah that's a trash book(for learning) for me

#

Well I had a second algorithms class

#

Where it was about memorizing random af algorithms

fading pulsar
#

Randomized Algorithms?

#

That's a good class

torn willow
#

No

#

I mean we don't get Randomized algorithms

#

I mean like "here's Fibonacci heap. Memorize the operations"

fading pulsar
hasty leaf
#

Linear Congrential easiest Random number algo

torn willow
#

"Done. Now do it for binomial heap"

#

Repeat ad infinitum

hasty leaf
#

So it was a slog

torn willow
#

Yeah it was boring

#

And like CLRS isn't much better lmao

hasty leaf
#

Could have been a geology class memorize types of rocks

fading pulsar
#

do codeforces smugsmug

torn willow
#

Well tbh geology is more interesting than algorithms

#

Because it's way more than memorizing random crap

hasty leaf
#

Yeah can be I took one intro course

torn willow
#

Well ig algorithms could be a decent class

#

In an ideal uni

hasty leaf
#

Hiked up volcano lmao and lost Shoe sole

torn willow
#

But like you don't need it for Leetcode

fading pulsar
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Just do codeforces with me

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you can do any leetcode you want if you do codeforces KEK

hasty leaf
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What code forces?

fading pulsar
hasty leaf
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Team effort yeet coding

torn willow
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True

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But CF is like a skillset I do not care abouy

fading pulsar
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If all you want is a job

torn willow
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Although it's fun and mathematical ig

fading pulsar
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i don't see what is hard about leetcode

torn willow
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It's not hard

fading pulsar
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then you have nothing to worry about

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study system design

torn willow
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It's also about crap cs people care about that codeforces folks don't care about

surreal sapphire
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honestly doubt leetcode prepares for the standard programmer job

torn willow
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Like CF questions just never care about pointers because there are better ways of representing stuff

surreal sapphire
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or any job lmao

torn willow
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It absolutely does not

surreal sapphire
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well, it shows you can go and study some stuff

icy oracle
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One message removed from a suspended account.

surreal sapphire
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and i guess doubles as an intelligence test

icy oracle
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One message removed from a suspended account.

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One message removed from a suspended account.

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One message removed from a suspended account.

surreal sapphire
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uh

icy oracle
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One message removed from a suspended account.

surreal sapphire
#

are you ok?

fading pulsar
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He's a troll

icy oracle
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One message removed from a suspended account.

fading pulsar
#

just ban

surreal sapphire
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and read the channel topics

icy oracle
fading pulsar
#

Also, yea leetcode is irrelevant

surreal sapphire
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ill mute you until you are sober

icy oracle
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One message removed from a suspended account.

fading pulsar
#

(for job skills)

static loom
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I suppose it at least shows a baseline level of competence in programming to be able to do them, and some enthusiasm for programming maybe

fading pulsar
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A lot of it is unfortunately just maintaining codebase

static loom
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I'd like to hire people who sort of enjoy the skill they're being paid to do

hasty leaf
surreal sapphire
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i mean yeah, many companies also do general intelligence tests

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that have nothing to do with the job

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i guess its hard to design a good selection test

fading pulsar
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I went through 4 rounds of interviews for my last internship and didn't do algorithms at all on the internship lol

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just handling jira tickets bleak

hasty leaf
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Practical

fading pulsar
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it was fun though

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4 days remote, 1 day in person, and they have food provided + 1 floor cafe/1 floor game room

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I just checked out after the daily standups

hasty leaf
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Scrum

fading pulsar
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I ended up just doing math on the remote days bleakkekw

hasty leaf
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Maintenance of code bases alot less stressful sometimes than starting something from scratch and having management mandated deadlines...been in both situations

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Yeah do hobbies

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Work not fulfilling a lot of times

torn willow
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Ok depends on what you prefer then

fading pulsar
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No one knows what you will find fun

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Try both I guess

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You can just read a text in stats

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Or try programming

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Probability is pretty different from stats

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Oh stat department nvm