@LuckyChouhan Of course, but what do you usually listen to? Or do you want to try something different than you usually listen to?

@LuckyChouhan Really cool, it must feel enlightening to discover something like that!

@LuckyChouhan My level is that of undergraduate studies. For example, I know derivatives, integrals, linear algebra, complex numbers, and the easier bits of discrete mathematics. However, for example differential equations are too difficult and outside of my studies.

@user430580 I like listening flute music and some classic song but not with high pitch and rock band. Do you know about Taylor Swift's song Willow? I really like that :')

@user430580 I see, so you're a math major?

@LuckyChouhan I know Taylor Swift but I didn't know that song, thanks for the link! Here are my recommendations:

"Fernando" is just an example, but I think anything from this band is really good.

There is this band Maytree who does full-acapella covers of famous songs, and they also have their own written songs, I really like it and you can check it out!

And also please see the songs from the band "Boney M", for example:

@LuckyChouhan I don't know what is the equivalent because I'm not living in the USA, but we have 6 years of primary school, 3 years of secondary school, then 3 years of high school after which I started undergraduate studies in computer science that I'm currently on.

@Amit Antipingotics

@user430580 lolz

What's up??

Physicists got some tricks up their sleeve, I tell ye...

Hey, I just noticed that my "zing boom" pinned message expired recently, it must had been pinned for whole 14 days, do you get what it means? It means this room is growing old!

What physical tricks are there?

sorry I went to eat a banana

lol

@user430580 well I was just reading this solution from an exercise book, and the author says "well we could differentiate this function and obtain the condition it is minimum via this and that, but there's an easier way..." and then goes on to explain a trick i could never think about. really nice though

@user430580 btw stars don't really expire, you can always find all starred messages in the room info, here

Actual stars never expire, correct, but there is also a different type of star, called a pin, and these do expire after 14 days

See first example, you can choose to either star message, or pin message

And pin is special because it's only available to room owners (that's you!)

I cannot star my own message, but I can pin it! \o/

@Amit Them physicists be really smart, is that short enough to write so I could understand the trick?

ohhh , i never pinned a message

got it

actually now i see, i wondered about that! i didn't understand why some stars seem hollow lol

thought my eyes have gone bad

They're hollow because they have no soul haha

@user430580 sure it's rather simple: if you know it's a function with one minimum point, you can set it equal to a constant $k$. if that function happens to be quadratic in the variable of interest (as it was in this example) , you can then demand that the determinant vanishes. the discriminant vanishes exactly when the line is tangent to the graph at the minimum point, hence you can find $k$ when the discriminant vanishes and it's the minimum value it attains

@user430580 lol

@Amit Thanks, I feel I can quite almost understand it

sorry, discriminant*

discriminant, you mean b^2 - 4ac?

yes

but wait i messed the explanation somewhere, lemme see lol

ok

oh yeah ok suppose you have $$f(x)=ax^2+bx+c$$ now equate $f(x)=k$ that's our condition to intersect with the tangent. so now you got $$ax^2+bx+c-k=0$$, you take the discriminant of that and equate to $0$ to find $k$, and it is the minimum ,let's see

yep, i've verified it by doing the usual differentiation, it's correct

I think now I fully understand that, nice trick!

maybe that's too confusing. thing is, even if you put $k=f(x)/g(x)$ then there will be only one solution in $x$ when that line $k(x)=k$ is tangent to this curve, hence a minimum (or maximum)

@user430580 BTW a very important question arises, one that I'm not sure whether even Einstein considered in this context. Can an expired pin be re-pinned? Would that violate causality? How would we know if it did?

okay never mind, sorry for the spam

lol

I was investigating for a bit the length of the message you can use in a link text

@Amit I think I understand, thanks!

@Amit I tried to pin it again after I noticed it expired, and it didn't let me :/

@Amit No problem, it's all good. I'm listening to that link right now, nice song!

I was trying to do something like 🎵🎶🎵🎶 'Cause in a board, 'cause in a board, full of pins 🎵🎶🎵🎶

ooh okay I see

@Amit Oh I undertsnad now, it doesn't fold into a link because you have a line break!

Got it, exactly as you said it

I think you cannot have a Shift+Enter characters

Why the line break, breaks it (HAH) no idea

I would call it a BUG

haha lol-ing

:D

I had the whole lyrics set and ready!!!

Here it just for transformations and giggles

🎵🎶🎵🎶'Cause you're a board, 'cause you're a board full of pins 🎵🎶🎵🎶

that $\arcsin$ bit is so random lol

Starred & PINNED, Shawabanga!!!

Thanks! Now it's double-pinned :D

haha maybe :D

Or 14^2 = 196 days, but probably not

well in binary $14$ is $1110$ right

yes

So, you know

lol, I got nothing

BTW as you get older, it gets quite useful to tell people your age in base $16$

In some cases yes it's useful, but in others you would just have them puzzled "why did you put some weird letters instead of your age???"

lol yes that's a problem

but you can always round it

for example if you're $60$ hmm that's $0x40-0x04$ right? so you say, I'm nearly forty!

or just, i'm in my thirties

btw i once invented a nice game, that's also a nice programming exercises

find all the two byte values that their cyclic rotation is equal to their decimal value

@Amit Oh okay now I understand what you mean :D

example $$0\mathrm{x}2008 = 8200$$ (If I remember it right)

0x2800 is 10240

I just checked

Now it's right :)

but I get what you mean

yeah, it wasn't a rotation either

ah okay, so now I see what rotation means

yea a rotation that preserves the digits

so that you basically have to rotate 4 bit nibbles

did you also discover some formula to do it quickly, or you find them by brute force search?

brute force, but i found some pattern i don't know if i could explain

i mean there were only a few of them, and they seemed related somehow

i may have figured it out but forgot

oh ok

You might like this @user430580

i gotta be off, good night!

I'm reading the Math SE link you sent me, thanks! And good night, see you soon!