M4TH3M4T1C5 - let's prove .99999.... != 1 - The Something Awful Forums

The Something Awful Forums > Discussion > Serious Hardware/Software Crap > YOSPOS > M4TH3M4T1C5 - let's prove .99999.... != 1

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Captain Foo: May 11, 2004; we vibin'
we slidin'
we breathin'
we dyin'

banach-tarski banach-tarski

# ? Sep 13, 2014 15:31

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# ? Apr 24, 2024 12:11

computer parts: Nov 18, 2010; PLEASE CLAP

i just learned the formal definition of probability and it's :krad:

# ? Sep 13, 2014 15:32

coffeetable: Feb 5, 2006; TELL ME AGAIN HOW GREAT BRITAIN WOULD BE IF IT WAS RULED BY THE MERCILESS JACKBOOT OF PRINCE CHARLES

YES I DO TALK TO PLANTS ACTUALLY

computer parts posted:

the formal definition of probability

which one

# ? Sep 13, 2014 15:35

computer parts: Nov 18, 2010; PLEASE CLAP

coffeetable posted:

which one

the dumb babby one they teach to engineers

# ? Sep 13, 2014 15:38

ChiralCondensate: Nov 13, 2007; what is that man doing to his colour palette?; Grimey Drawer

kolmogorov's axioms best axioms

# ? Sep 13, 2014 16:29

Brain Candy: May 18, 2006

computer parts posted:

the dumb babby one they teach to engineers

out, frequentist trash

# ? Sep 13, 2014 16:38

ChiralCondensate: Nov 13, 2007; what is that man doing to his colour palette?; Grimey Drawer

Brain Candy posted:

out, frequentist trash

lol if you're still arguing frequentist v bayesian you just didn't get it son

# ? Sep 13, 2014 16:40

z0rlandi viSSer: Nov 5, 2013

qirex posted:

I realized that I've forgotten basically everything

# ? Sep 13, 2014 16:48

coffeetable: Feb 5, 2006; TELL ME AGAIN HOW GREAT BRITAIN WOULD BE IF IT WAS RULED BY THE MERCILESS JACKBOOT OF PRINCE CHARLES

YES I DO TALK TO PLANTS ACTUALLY

how are maths books proofread

are maths books proofread

im in the last third of a thousand-page doorstop on machine learning and the typo rate is climbing every chapter

# ? Sep 13, 2014 17:22

Helpimscared: Jun 16, 2014

maths hurts my brain

ow math stop, good math

# ? Sep 14, 2014 20:35

rotor: Jun 11, 2001; classic case of pineapple derangement syndrome

coffeetable posted:

how are maths books proofread

are maths books proofread

im in the last third of a thousand-page doorstop on machine learning and the typo rate is climbing every chapter

can u imagine a worse job than proofreading an algebra textbook? I'm not sure I can.

# ? Sep 14, 2014 20:42

poty: Jun 21, 2008; 虹はどこで終わるのですか？あなたの魂の中で、または地平線で?

ChiralCondensate posted:

lol if you're still arguing frequentist v bayesian you just didn't get it son

i believe schools need to teach both sides so students can make up their own mind

# ? Sep 14, 2014 21:52

Ericadia: Oct 31, 2007; Not A Unicorn

rotor posted:

can u imagine a worse job than proofreading an algebra textbook? I'm not sure I can.

from what I understand, this handled almost entirely by unpaid grad students

# ? Sep 14, 2014 21:59

bump_fn: Apr 12, 2004; _{two of them}

Brain Candy posted:

out, frequentist trash

# ? Sep 15, 2014 00:11

Bored Online: May 25, 2009; We don't need Rome telling us what to do.

over the course of a summer ive forgotten everything from my first calculus class. fall is gonna be great

e: actually i just remembered the limit definition of a derivative

# ? Sep 15, 2014 03:47

tractor fanatic: Sep 9, 2005; Pillbug

real analysis is the most fun math

# ? Sep 15, 2014 04:26

echinopsis: Apr 13, 2004; by Fluffdaddy

I was so proud of myself when I worked out the relationship between X and 1/X

# ? Sep 15, 2014 04:39

rotor: Jun 11, 2001; classic case of pineapple derangement syndrome

echinopsis posted:

I was so proud of myself when I worked out the relationship between X and 1/X

they are inverses iirc

# ? Sep 15, 2014 04:42

Glorgnole: Oct 23, 2012

i remember the exact moment in high school when i understood what a derivative was. my teacher projected a plot of cos(x) over a plot of sin(x) and i saw the relationship between the slope of one and the position of the other. pretty rad breakthrough moment, imho.

anyways, i am very glad that nowadays i have computers to do my math for me.

# ? Sep 15, 2014 04:45

dragon enthusiast: Jan 1, 2010

i knew about derivatives back in like algebra when i was trying to describe the slope of a parabola but ofc my teacher was like "slopes are for lines you dumbass" and never told us about derivatives

# ? Sep 15, 2014 04:56

echinopsis: Apr 13, 2004; by Fluffdaddy

rotor posted:

they are inverses iirc

yeah of course! but I didn't know anything about it when I had to use them all the time and then I worked it out and felt like a revelation

# ? Sep 15, 2014 04:59

Joe Law: Jun 30, 2008

complex analysis is objectively the sexiest math

# ? Sep 15, 2014 06:37

suspicious donkey!: Jun 26, 2013

can we get some discrete geometry up in here? gently caress all this continuous crap, 5 solids is all i need

# ? Sep 15, 2014 07:19

Symbolic Butt: Mar 22, 2009; (_!_); Buglord

suspicious donkey! posted:

can we get some discrete geometry up in here? gently caress all this continuous crap, 5 solids is all i need

the other day I was reading about the tetrahedron packing problem, it's absolutely outrageous.

# ? Sep 15, 2014 07:41

rotor: Jun 11, 2001; classic case of pineapple derangement syndrome

quasicrystals are weird as heck

# ? Sep 15, 2014 07:56

suspicious donkey!: Jun 26, 2013

Symbolic Butt posted:

the other day I was reading about the tetrahedron packing problem, it's absolutely outrageous.

this rules, because as with all cool & sexy mathematical problems, this was first formulated by the greeks

also geometry rules because new solids are still being discovered. Not regular ones ofc but some crazy stuff i dont understand.

# ? Sep 15, 2014 08:18

echinopsis: Apr 13, 2004; by Fluffdaddy

suspicious donkey! posted:

also geometry rules because new solids are still being discovered. Not regular ones ofc but some crazy stuff i dont understand.

is this like wen i design a new dildo like thing in blender its like a NEW SOLID being DISCOVERED?

# ? Sep 15, 2014 08:59

Symbolic Butt: Mar 22, 2009; (_!_); Buglord

suspicious donkey! posted:

this rules, because as with all cool & sexy mathematical problems, this was first formulated by the greeks

aristotle was so full of poo poo though

# ? Sep 15, 2014 09:05

suspicious donkey!: Jun 26, 2013

echinopsis posted:

is this like wen i design a new dildo like thing in blender its like a NEW SOLID being DISCOVERED?

if you find a new kind of dildo that pleasures you in ways that havent been done before, yeah p much. dong shape doesnt count tho, even if its dragon dong or whatever. also you dont have to know how it actually looks like, just that its somewhere out there

Symbolic Butt posted:

aristotle was so full of poo poo though

yeah just let me write something on this here automated symbol processing machine not influenced by aristotle oh wait

# ? Sep 15, 2014 09:48

Symbolic Butt: Mar 22, 2009; (_!_); Buglord

I was specifically talking about the tetrahedra tiling space thing. in general Aristotle was a p cool guy

# ? Sep 15, 2014 10:13

suspicious donkey!: Jun 26, 2013

oh yeah okay

another cool greek thing: killing people over discovering forbidden numbers. you might call this behaviour... irrational!?

summary: pythargoras rules cauchy drools

# ? Sep 15, 2014 10:24

Swolegoat: Nov 4, 2011

i;m glad rotor knows what quasicrystals are

# ? Sep 15, 2014 12:21

MononcQc: May 29, 2007

# ? Sep 15, 2014 12:38

prefect: Sep 11, 2001; No one, Woodhouse.
No one.; Dead Man’s Band

MononcQc posted:

post the rest of the series, please

# ? Sep 15, 2014 12:44

MononcQc: May 29, 2007

prefect posted:

post the rest of the series, please

It's from a book from the 70s called "Mathematics made difficult".

quote:

Mathematics Made Difficult is a book by Carl E. Linderholm that uses advanced mathematical methods to prove results normally shown using elementary proofs. Although the aim is largely satirical, it also shows the non-trivial mathematics behind operations normally considered obvious, such as numbering, counting, and factoring integers.

As an example, the proof that two is a prime number starts:

quote:
It is easily seen that the only numbers between 0 and 2, including 0 but excluding 2, are 0 and 1. Thus the remainder left by any number on division by 2 is either 0 or 1. Hence the quotient ring Z/2Z, where 2Z is the ideal in Z generated by 2, has only the elements [0] and [1], where these are the images of 0 and 1 under the canonical quotient map. Since [1] must be the unit of this ring, every element of this ring except [0] is a unit, and the ring is a field ...

It's out of print, but it's easy to find PDFs floating around.

# ? Sep 15, 2014 12:48