Mathematics

Gustavo Bandeira

5:00 AM

@WillHunting Yep, I know.

But I'm VERY curious about this.

user19161

@GustavoBandeira Are you comfortable with algebraic manipulations now anyway?

Gustavo Bandeira

@WillHunting I'm better at it, but not so good.

I also dunno how to quantify it.

Do you have some small test in mind?

user19161

@GustavoBandeira OK. A lot of it can be understood geometrically. For example ab can be seen as the area of a rectangle with sides a and b so you know ab=ba.

Jayesh Badwaik

Is it okay to write $\mathbb{N}$ when I actually mean $\mathbb{N} \bigcup {0}$ ?

user19161

I am not saying that is the proof, but it helps you have a better feel of the operations @gus.

user19161

5:03 AM

@JayeshBadwaik Naturals can include or exclude zero. Different definitions, that is all. Same for notation.

Jayesh Badwaik

@WillHunting Good to know. I will use that ambiguity to my advantage. Else, it is too much work to write the second notation every time.

user19161

Bourbaki includes zero, and many people follow Bourbaki, especially set theorists.

anon

Whether you want $0$ in your naturals depends a bit on who your audience is. My set-theorist of a topology teacher denotes $\Bbb N$ without a $0$ and $\omega=\Bbb N\cup\{0\}$ (with the usual ordinal definition of the numbers). Pete L Clark once made a joke about someone not putting $0$ in $\Bbb N$, on the other hand.

Gustavo Bandeira

@WillHunting This may be a dumb question but, supose I tell you that the area of a rectangle is 15, is it possible to know a and b?

I'm not sure if there's some rule.

anon

Even if they are positive integers there are four possibilities.

user19161

5:05 AM

@GustavoBandeira If a and b are reals, there are infinite possibilities.

Gustavo Bandeira

@WillHunting Yep, I imagined so.

user19161

@GustavoBandeira In fact, a can be any positive real and b would be 15/a.

Gustavo Bandeira

@WillHunting Do you read Bourbaki?

user19161

@GustavoBandeira I browsed through parts of Topology. In general, Bourbaki is too general and so hard to read and apply.

user19161

Also, they don't cover many core areas. For example, there is no complex analysis.

Gustavo Bandeira

5:09 AM

I've read a book that told that Bourbaki is hard and that it's on a level of abstractness that is almost inhuman.

user19161

@GustavoBandeira Yes. I feel that it only has a historical importance these days, that's just me.

user19161

Just look at its Functions of a single real variable.

user19161

It is not like any book you would expect with that title.

Gustavo Bandeira

What's the difference?

user19161

@GustavoBandeira Too general. Again, no need to worry about these now!

Gustavo Bandeira

5:11 AM

Yep

I'm just in the "pop math" chatting mode.

I like you Will, you're sweet.

You're in my list of people I want to meet someday IRL

user19161

@GustavoBandeira If only girls thought so...

Gustavo Bandeira

What they think about you?

Ahhh...

I guess I made a bad question.

=(

Shit, I'm feeling guilty now.

Jayesh Badwaik

@GustavoBandeira Do not worry. Will has a habit of disappearing suddenly. :P

Gustavo Bandeira

I hope so.

Jay, do you know the game Homeworld?

Jayesh Badwaik

No.

Gustavo Bandeira

5:24 AM

I just remebered of a nice song that was in this game credits.

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Jayesh Badwaik

I used to play only Football, Counterstrike and one or two FPS, Simcity and Racing.

Gustavo Bandeira

I always liked space games.

Not all them, of course. I loved the homeworld series and sins of a solar empire.

Jayesh Badwaik

I almost stopped playing solo games in college.

Nice song.

Gustavo Bandeira

Playing solo games became so lame lately.

I remember of playing The dig - it was a point and click adventure game.

I loved it.

Jayesh Badwaik

Simcity is the one I continue devotedly though, now in a virtual machine.

Gustavo Bandeira

5:30 AM

I played some months ago, I had to emulate it in dosbox.

Jayesh Badwaik

Although I cannot always play it, but return to play it every month.
I play SimCity 3000 Unlimited.

Gustavo Bandeira

Have you played simcity 4000?

Wait..

I guess sim city 4000 does not exist.

Jayesh Badwaik

I like it because it helps me take out frustration with the horrid city planning in this country in general.

Gustavo Bandeira

It's sim city 4: societies.

Jayesh Badwaik

I deal with stuff and then say to myself, this is how you should do it, morons!

Gustavo Bandeira

5:32 AM

xD

look:

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A friend of mine had a cyber discussion - via facebook.

I've read it all and made this to troll.

The guy in question really switched his facebook pic to the pic of a gun. xD

Jayesh Badwaik

Okay. Your videos don't require flash to play. Nice!

@GustavoBandeira That is your voice? It is nice. Music I like too.

Gustavo Bandeira

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Yep, it's ma voice

This music is a pseudo clubbing music.

I loved in the time I made it, I made the brass with Image-Line's Sytrus - from a default patch.

btw, talking about sim city - I love a "similar" game: Civilizations. =)

Jay, music market is a weird environement.

Jayesh Badwaik

@GustavoBandeira Yup, heard of it. Never tried it though.

Gustavo Bandeira

Whenever I make a song trying to expand my musical frontiers, no one hears it. xD

BUT when I make something trolling someone EVERYBODY LOVES IT!

I was talking to a friend who's learning english.

He said: "I'll use it as my english toy" - I trolled: "You'll use me as an english sex toy" - some days later, I made a song with this by recording google translator girl's voice, complete non-sense. And I've seen my stats now, IT HAS ~450 VIEWS! WTF?!

Jayesh Badwaik

haha.

Gustavo Bandeira

5:44 AM

Now I made this with quartal chords, I made a nice mechanism which transformed the sound of the synth, allowing me to do legatos - 10 views.

I don't need to mention LMFAO's "I'm sexy and I know it" with 2kkkkkkkkkkk views.

Things like these usually make me thinK: WTF MANKIND?!

Jayesh Badwaik

You should calm down a little bit about it :-). I used to think that around four years ago, but I have come to believe now, mankind is alright.
See thing is, it is good people like apparently bad stuff too. (I deliberately say apparently) I will give you an example.

Certain Indian music was very well structured and everything and it was considered magical and all that stuff. However, people would then look at apparently simple music as not worthy. This lead to lack of experimentation and there was a period where the only music that was played was atleast 100 years old. So, kind of uninspiring. However, sine then, there have been various changes and all. All kinds of stuff add different dimensions to the music.

English music might not have the elaborate structure of ragas, but then due to the simpler nature of basic building blocks, there is more freedom to be had, which is I believe what has lead to inventions like electrical guitar and stuff.

Gustavo Bandeira

Yep, but the only dimension that will make my music be heard by a lot of people is the dimension of trolling.

(Dimension of trolling - I like this definition)

Jayesh Badwaik

You can take that as a challenge, find out what is it about troll music that makes it tick and then keep that aspect while changing the rest to make it a more good technical music?

Fusion!

Dragon Ball Z

see this

5:55 AM

You've reminded me of something.

Jayesh Badwaik

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Gustavo Bandeira

I just think I can't hear them now - But i'll favourite the links.

Do you have some comment on them?

Jayesh Badwaik

The second is a mix of colplay rock with jayz.

The first is a mix of adele's rolling in the deep and an indian classical song.

Gustavo Bandeira

I'm searching the thing I told you.

My internet is not cooperating...

It's something I saw on a Rubato Music Composer Book: A topological cube of musical ontology.

Jayesh Badwaik

6:13 AM

Hmm.

Gustavo Bandeira

I'll show ya when I get back to Recife.

Jayesh Badwaik

Okay.

See this also, if you can.

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Gustavo Bandeira

OMG.... This joke exists with topology too....

Jayesh Badwaik

:P

Gustavo Bandeira

While searching for it, I've found something that seems interesting.

Galois died in a duel, he had a case with a married girl, her husband discovered it and called Galois to a duel - he went in, her husband was a counterstrike professional player, GG.

Jayesh Badwaik

6:22 AM

Headshot.

Gustavo Bandeira

It seems that this girl had a reputation for cheating.... I guess that in the end of his life, this guy went to 78/1 K/D score.

GODLIKE!

Jayesh Badwaik

:-|

Gustavo Bandeira

Poor Galois.

He was told by his friend: "Don't go with the knife, dude..."

I got so sad when I discovered he died in such a terrible way.

It seems he was an incredible genious.

Jayesh Badwaik

@GustavoBandeira terrible yes. He was only 21 and had already done groundbreaking work!

Gustavo Bandeira

I'm 22 and until now, I've been completely useless. XD

But I believe I can achieve great things in the future.

Jayesh Badwaik

6:32 AM

@GustavoBandeira 22? I thought you said you were 19 somewhere before.

I am 22 myself.

Gustavo Bandeira

I'm just VERY impatient, I feel ashamed when I read histories like Galois, Einstein, Von Neumann.

When they were my age, they did such amazing things.

Jayesh Badwaik

Relax :-) Just enjoy your work.

Gustavo Bandeira

I entered this crisis ~2 years ago, I'm almost healing it.

Before this, I had other ideas, other magnitudes I wanted to achieve.

Then I changed the magnitudes almost instantly.

BANG!

Jayesh Badwaik

The biggest problem with expectations are the anxiety they bring stalling your work.

Gustavo Bandeira

There's a problem on it that I still don't know how to solve: Maybe If I have less anxiety, I'm going to work less.

I don't know if anxiety works as an engine.

Jayesh Badwaik

6:42 AM

@GustavoBandeira small steps at a time. Just focus on the current theorem. current section. forget its importance in the bigger picture. Just enjoy it for what it is.

Gustavo Bandeira

Yep. This is a good thing I've learned to do.

When I discovered that I could solve a non-monic quadratic equation by transforming it in a monic equation; only dividing the equation by a, I was amazed.

They taught me a formula to solve it, but they never told me where it came from.

I discovered it when I solved this way.

Jayesh Badwaik

nice :-)

BTW physics.princeton.edu/~trothman/galois.html

wj32

8:17 AM

From Advanced Linear Algebra (Roman): Show that an $R$-module $M$ satisfies the ACC for submodules if and only if the following condition holds. Every nonempty collection $\mathcal{S}$ of submodules of $M$ has a maximal element. That is, for every nonempty collection $\mathcal{S}$ of submodules of $M$ there is an $S\in\mathcal{S}$ with the property that $T\in\mathcal{S} \Rightarrow T \subseteq S $.

One direction seems obvious, but I don't think the other direction is even correct...

(ACC = ascending chain condition)

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$Mathematics$ Mathematics