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 Bluehay Aug 3, 2008 I like to geek out on math. Math is cool. Here's a math: That's called the harmonic series. If the dividend remains at 1, and the divisor increases by whole numbers, then the sum will approach infinity, even though the fractions included in the sum get smaller and smaller and smaller. Cool! # ? Feb 17, 2013 19:06
 Bluehay Aug 3, 2008 oops poo poo post, math is poo poo # ? Feb 17, 2013 19:10

#### Bluehay posted:

I like to geek out on math. Math is cool. Here's a math:

That's called the harmonic series. If the dividend remains at 1, and the divisor increases by whole numbers, then the sum will approach infinity, even though the fractions included in the sum get smaller and smaller and smaller. Cool!

Ugh...This is the beginning of the suck. This series is cool, and it is the harmonic series, but when you apply this definition to more complex functions, this get ugly. This is widely considered the most difficult definition in calculus. However, the cool part is this:
http://tinyurl.com/qwluyz

It explains why, or shows rather, the sort of slap back and resulting harmonics in all sorts of musical devices. This is how a guitar sting or related items develop the harmonic overtone series which has a lot to do with timbre, and the inverse of forier transformation...so it is purty neato indeed.

Here is the harmonic notation that describes additive syntheses (in synthesizers)

http://tinyurl.com/at2zd3g

All other forms of synthesis can also be described with maths...but I like additive cause its old school.

 oldpainless Oct 30, 2009 Mathis cool. # ? Feb 17, 2013 19:41
 Davethehedgehog Jun 7, 2003 Choose me, I am warm! Every bit of maths that this lady does... http://www.youtube.com/watch?v=ODk5_bwydDQ # ? Feb 17, 2013 19:46
 Mr. Haunt Jun 5, 2003 Before everything, there was just the hate. You + me - our clothes / your legs and * It doesn't follow pemdas, but gently caress pemdas! # ? Feb 17, 2013 19:48

#### Bluehay posted:

oops poo poo post, math is poo poo

I'm sure you meant to say math is the poo poo! Dawg!

#### Davethehedgehog posted:

Every bit of maths that this lady does...

I like her. She has a nice, teacherly voice.

 Super Waffle Sep 25, 2007 I'm a hermaphrodite and my parents (40K nerds) named me Slaanesh, THANKS MOM There is something both frightening and strangely comforting about the Navier-Stokes equation This describes the direction of rate of change in three dimensions of any given three dimensional point in a fluid, making it a 3x3x3 matrix, aka a tensor # ? Feb 17, 2013 19:54

#### Bluehay posted:

I like her. She has a nice, teacherly voice.

and a nice lazy eye...proving once again the most base of math assumptions....no hot chicks.

 BigHead Jul 25, 2003 Huh? Here's a guy with an accent describing math wizardry involving pi and matchsticks: http://www.youtube.com/watch?v=sJVivjuMfWA Here's a chipper and scrawny fellow describing other math wizardry involving interesting decimals: http://www.youtube.com/watch?v=daro6K6mym8 # ? Feb 17, 2013 20:12

#### wrinklepuff posted:

and a nice lazy eye...proving once again the most base of math assumptions....no hot chicks.

She has an imperfection.. BURN HER!!!

Vi Hart is a forum favourite too. Here's an interesting video on Wau.

Here's a guy with an accent describing math wizardry involving pi and matchsticks:

Here's a chipper and scrawny fellow describing other math wizardry involving interesting decimals:

Numberphile is awesome! I particularly enjoy their discourses on Rubik's Cube, and this demonstration, I think, is quite beautiful: http://www.youtube.com/watch?v=BTyzE-NDga8

(for those uninclined to click links without description, it's a tour through the absolute most difficult positioning of a Rubik's Cube: how it works, how to solve it. awesome poo poo.)

Good suggestions, the world could use more numberphiles.

 Farecoal Oct 15, 2011 A product of Hugs Boson Industries A(g64, g64) What is this "maths", it's called "math" and "math equations" # ? Feb 17, 2013 20:57
 Shaddak Nov 13, 2011 My favorite: # ? Feb 18, 2013 03:19
 NienNunb Feb 15, 2012 Beard Extension DLC: 1200 MP The classic. # ? Feb 18, 2013 04:29
 Liar Lyre Jun 3, 2011 Steiner Math is the best math. http://www.youtube.com/watch?v=WFoC3TR5rzI # ? Feb 18, 2013 04:38
 Thwack! Aug 14, 2010 Somebody come and rescue me quick, or I'm gonna be the admin's next pick! Mathematics by Mos Def is my favourite kind of math. http://www.youtube.com/watch?v=m5vw4ajnWGA # ? Feb 18, 2013 05:30
 benzine Oct 21, 2010 Euler's formula # ? Feb 18, 2013 05:42
 the Jul 18, 2004 AAAaaAAaAAAAAaaaaa It's physics, but whatever: The speed of light in free space is equal to 1 over the square root of the vacuum permeability of free space times the vacuum permittivity of free space. Or this one The radius at which you have reached the point of no return in a black hole. the fucked around with this message at Feb 18, 2013 around 06:05 # ? Feb 18, 2013 06:02
 Wooper Oct 16, 2006 Champion draGoon horse slayer. Making Lancers weep for their horsies since 2011. Viva Dickbutt. Modus tollens is one of my favorites: Simple and powerful. # ? Feb 18, 2013 06:10
 Base Emitter Apr 1, 2012 and collector. or if you prefer Eigenvector-eigenvalue equation. So much great stuff can be recast as a eigenvalue problem. # ? Feb 18, 2013 06:15
 Petit Gregory Feb 13, 2012 Une larme de gin, une riviere de tonic, et ensuite, la p'tite victime. My favorite video about the "language of numbers". http://vimeo.com/13497928 # ? Feb 18, 2013 07:35
 Arbor Day Jun 24, 2004 vrooom vrooom crash I really like taking a number and multiplying it by some other number. Also, finding the inductive reactance of a circuit. # ? Feb 18, 2013 10:29
 VodeAndreas Apr 30, 2009 A variant of what benzine posted above: It just brings all these important constants together so nicely... How can you not love it! # ? Feb 19, 2013 10:34
 twosideddice Jan 7, 2009 The second law of thermodynamics # ? Feb 19, 2013 11:08

#### Davethehedgehog posted:

She has an imperfection.. BURN HER!!!

Vi Hart is a forum favourite too. Here's an interesting video on Wau.

Ow my brain. It's just...1. I thought I was being smart by realizing it was just 1 during the e=MC^2 demonstration, by thinking "Well, if e=MC^2, it can be cancelled off and become 1^wau = 1^2, and 1 to the power of anything = 1. Then she ruined my mathsbuzz by just saying at the end "Yup, it's just 1." Then it all dawned on me. Of course Wau^Wau = Wau, that's literally just saying 1*1 = 1.

VogeGandire fucked around with this message at Feb 19, 2013 around 11:42

#### wrinklepuff posted:

and a nice lazy eye...proving once again the most base of math assumptions....no hot chicks.

Wrong.

#### Super Waffle posted:

There is something both frightening and strangely comforting about the Navier-Stokes equation

This describes the direction of rate of change in three dimensions of any given three dimensional point in a fluid, making it a 3x3x3 matrix, aka a tensor

Almost everything you wrote in this post is wrong.

These are indeed the Cartesian Navier-Stokes equations for the special case of incompressible Newtonian flow, accounting for gravity but neglecting other body forces. The Navier-Stokes equations are a system of equations (or, alternatively, a vector equation), not a tensor, which is a special mathematical construct which represents geometrical relations between vectors, scalars, and other tensors. Plus, even if it were a tensor, it would be unusual for it to be a tensor of rank 3. The most common tensors which show up in continuum mechanics in general are the stress and strain tensors (of rank 2) and some sort of constitutive law tensor (of rank 4). And your explanation of it is just plain wrong: the Navier-Stokes equations specify fluid velocity at any point in the flow - they don't indicate the "direction of rate of change in three dimensions [ed. - of what quantity?]" of anything (except position). They are just an application of Newton's Second Law.

But this:

is not even part of the Navier-Stokes equations. It's just the law of conservation of mass for a continuum. Actually, in this sense, it makes sense to include it near the Navier-Stokes equations, because both this equation and the Navier-Stokes equations describe some sort of continuity - this equation describes continuity of mass, while the Navier-Stokes equations describe continuity of momentum.

John McCain fucked around with this message at Feb 19, 2013 around 16:28

 Gamma Nerd May 14, 2012 I will never not be puzzled and amazed by the Banach-Tarski paradox, no matter how much math I learn. Basically it involves separating a sphere into very complicated pieces and, using simple translations, recombining it into two identical spheres. It was invented to call into question the validity of the axiom of choice, but I think it's just a really cool feat of reasoning overall. Brouwer's fixed-point theorem is also a cool one. The physical implication of it is pretty incredible: Say you take two sheets of printer paper, and lay one directly over the other. Then, crumple the top sheet and place it so it doesn't go over the edge of the bottom sheet. It's mathematically provable that at least one point on the crumpled sheet is exactly above the equivalent point on the non-crumpled sheet. Oh and the four-dimensional equivalent of a sphere is much cooler than a hypercube: # ? Feb 19, 2013 20:52
 GreenCard78 Apr 25, 2005 It's all in the game, yo. y=mx+b does a good job at calculating cost for basic needs. # ? Feb 19, 2013 21:17
 Toad on a Hat May 27, 2004 He never raised his voice. That was the worst thing. The fury of the Time Lord. And then we discovered why. Why this doctor, who had fought with gods and demons, why he'd run away from us and hidden. He was being kind. Benford's law. Simple, beautiful, and deadly to embezzlers. # ? Feb 19, 2013 21:28
 Nenuphar Aug 19, 2011 Tikitok tikitok https://en.wikipedia.org/wiki/Hairy_ball_theorem So one day, some mathematician had to choose between naming his theorem after his own name for posterity, or naming it the Hairy ball theorem. He obviously made the best choice. # ? Feb 19, 2013 23:55

#### John McCain posted:

Almost everything you wrote in this post is wrong.

These are indeed the Cartesian Navier-Stokes equations for the special case of incompressible Newtonian flow, accounting for gravity but neglecting other body forces. The Navier-Stokes equations are a system of equations (or, alternatively, a vector equation), not a tensor, which is a special mathematical construct which represents geometrical relations between vectors, scalars, and other tensors. Plus, even if it were a tensor, it would be unusual for it to be a tensor of rank 3. The most common tensors which show up in continuum mechanics in general are the stress and strain tensors (of rank 2) and some sort of constitutive law tensor (of rank 4). And your explanation of it is just plain wrong: the Navier-Stokes equations specify fluid velocity at any point in the flow - they don't indicate the "direction of rate of change in three dimensions [ed. - of what quantity?]" of anything (except position). They are just an application of Newton's Second Law.

But this:

is not even part of the Navier-Stokes equations. It's just the law of conservation of mass for a continuum. Actually, in this sense, it makes sense to include it near the Navier-Stokes equations, because both this equation and the Navier-Stokes equations describe some sort of continuity - this equation describes continuity of mass, while the Navier-Stokes equations describe continuity of momentum.

Ok ok you caught me, I got a B in fluid mechanics like a year and a half ago

As penance, heres one thats hard to mess up:

F = ma

When in doubt...

#### the posted:

It's physics, but whatever:

#### twosideddice posted:

The second law of thermodynamics

#### Super Waffle posted:

F = ma
Are there so few awesome math(s) for you to choose from that you resort to physics?

Here are some maths:

Why is the area of a circle πr2?

source
If you use more and more slices that's closer to a rectangle of height r and length πr, so the area is πr2.

Why is √2 irrational?
If it weren't, then there'd be a smallest triangle with sides of integer length in proportion 1:1:√2 (just scale the 1:1:√2 triangle by whatever the denominator of √2 is). But then:

source

Can an irrational to an irrational power be rational?
Let a be (√2)√2. If a is rational, we're done since √2 is irrational. If a isn't rational, then a√2=((√2)√2)√2=(√2)(√2)*(√2)=(√2)2=2, so that "a√2" is an irrational to an irrational power that's rational. Answering which of these is the case involves some heavy duty mathematics, but it turns out that a is irrational.

For reference, there's a small math question thread in Science, Academics and Languages.

helopticor fucked around with this message at Feb 20, 2013 around 05:29

#### NienNunb posted:

The classic.

Well thank gently caress, one I recognize.

My personal favorite is the formula for adding all the numbers between 1 and n, [n(n+1)]/2. I love it because it's a straightforward way of showing the power of formulas to my GED students as a way to save time rather than brute force solutions or "eyeballing" and guesswork.

I'd post the picture like other people have been doing but imgur doesn't work at my office for some reason.

Lotish fucked around with this message at Feb 22, 2013 around 17:38

 NoEyedSquareGuy Mar 16, 2009 Just because Liquor's dead, doesn't mean you can just roll this bitch all over town with "The Freedoms." Traditional math is cool and all, but it's not much to look at. I prefer fractal geometry. As for videos, this one is a classic. # ? Feb 23, 2013 04:27
 weese36 Apr 27, 2010 Squares are the sum of consecutive odd numbers. 1^2 = 1 2^2 = 1+3 3^2 = 1+3+5 4^2 = 1+3+5+7 # ? Feb 23, 2013 04:59
Graham's number is pretty cool.

#### wikipedia posted:

Graham's number is unimaginably larger than other well-known large numbers such as a googol, googolplex, and even larger than Skewes' number and Moser's number. Indeed, like the latter two numbers, the observable universe is far too small to contain an ordinary digital representation of Graham's number, assuming that each digit occupies at least one Planck volume. Even power towers of the form are useless for this purpose, although it can be easily described by recursive formulas using Knuth's up-arrow notation or the equivalent, as was done by Graham.