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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Ask me a question about mathematics!
#12486026 - 04/30/10 09:23 PM (13 years, 10 months ago) |
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If you've ever asked yourself what mathematics are about, pour your heart out!
I don't claim to be able to answer; I'll only answer if I know that I know what I'm talking about.
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deCypher
Registered: 02/10/08
Posts: 56,232
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486038 - 04/30/10 09:25 PM (13 years, 10 months ago) |
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When will the Riemann Zeta hypothesis be proved?
-------------------- We are all in the gutter, but some of us are looking at the stars.
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486044 - 04/30/10 09:27 PM (13 years, 10 months ago) |
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How about some intuition on the whole covarient/contravarient thing. I dont really get it. When you change the metric one changes one way and the other changes another way?
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subiedude
SUBIE!!!
Registered: 02/06/09
Posts: 1,547
Loc: Colorado
Last seen: 5 years, 4 months
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Re: Ask me a question about mathematics! [Re: deCypher]
#12486046 - 04/30/10 09:28 PM (13 years, 10 months ago) |
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please explain matrices-- gaussian elimination--- i get lost
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: deCypher]
#12486049 - 04/30/10 09:28 PM (13 years, 10 months ago) |
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Quote:
Mr. Cypher said: When will the Riemann Zeta theorem be proved?
Wasn't it proved by Hardy just before his boat sank in the North Sea? Oh wait...
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deCypher
Registered: 02/10/08
Posts: 56,232
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486055 - 04/30/10 09:30 PM (13 years, 10 months ago) |
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I heard Hardy hung out with Ramanujan...
-------------------- We are all in the gutter, but some of us are looking at the stars.
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akira_akuma
Φύσις κρύπτεσθαι ὕψιστος φιλεῖ
Registered: 08/28/09
Posts: 82,455
Loc: Onypeirophóros
Last seen: 4 years, 2 months
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Re: Ask me a question about mathematics! [Re: deCypher]
#12486062 - 04/30/10 09:32 PM (13 years, 10 months ago) |
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865464785855645 X 34533567758585
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Shins
Fun guy
Registered: 09/15/04
Posts: 16,337
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Re: Ask me a question about mathematics! [Re: akira_akuma]
#12486077 - 04/30/10 09:34 PM (13 years, 10 months ago) |
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Is a base 60 number system a tool of Satan?
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Shins
Fun guy
Registered: 09/15/04
Posts: 16,337
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Re: Ask me a question about mathematics! [Re: Shins] 1
#12486084 - 04/30/10 09:36 PM (13 years, 10 months ago) |
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PS. Base sixty is called "Sexagesimal"
GIGGITY!
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ModularMind
M.P.F.
Registered: 02/09/10
Posts: 7,902
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Re: Ask me a question about mathematics! [Re: Shins]
#12486086 - 04/30/10 09:36 PM (13 years, 10 months ago) |
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What day is Pi day?
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muistrue
Inspired by the mystery
Registered: 03/20/05
Posts: 12,899
Loc: Behind the Redwoods
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Re: Ask me a question about mathematics! [Re: isaacein] 1
#12486098 - 04/30/10 09:38 PM (13 years, 10 months ago) |
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I do have a question that I was pondering this morning after my hash breakfast.
Say you have a piece of matter, for example a inch long piece of string. Now you cut the string in half. Now you take the half that's left and cut it in half. Continue to cut the remaining piece in half 1 time every second. You never run out of string because you only cut half of it away each time, keeping the other half.
Now you do this once every second. How big will the string be in 1 year? How about a hundred years? A million? Will there always be string left in existence since you are only cutting half of what you have?
How big is the inch long string trillions of years from now after being cut in half once every second? Does it stay in existence for all eternity?
Man I was super baked this morning.
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Aleph1
Dasein
Registered: 09/14/09
Posts: 457
Last seen: 13 years, 10 months
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Re: Ask me a question about mathematics! [Re: muistrue]
#12486130 - 04/30/10 09:42 PM (13 years, 10 months ago) |
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What is your favorite number?
-------------------- Who you jivin' with that cosmic debris?
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laserpig
Weedmaster_P
Registered: 04/28/09
Posts: 7,468
Last seen: 11 years, 10 months
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Re: Ask me a question about mathematics! [Re: muistrue]
#12486135 - 04/30/10 09:43 PM (13 years, 10 months ago) |
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Quote:
FractalDust said: How big is the inch long string trillions of years from now after being cut in half once every second? Does it stay in existence for all eternity?
you know it does, brah
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Breakfast Crew
Cheerios
Registered: 01/20/09
Posts: 1,985
Last seen: 12 years, 8 months
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Re: Ask me a question about mathematics! [Re: laserpig]
#12486147 - 04/30/10 09:44 PM (13 years, 10 months ago) |
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Whats ohms law?
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muistrue
Inspired by the mystery
Registered: 03/20/05
Posts: 12,899
Loc: Behind the Redwoods
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Re: Ask me a question about mathematics! [Re: laserpig]
#12486163 - 04/30/10 09:47 PM (13 years, 10 months ago) |
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Quote:
laserpig said:
Quote:
FractalDust said: How big is the inch long string trillions of years from now after being cut in half once every second? Does it stay in existence for all eternity?
you know it does, brah
Yeah I know it does, but how big is it 10 trillion years from now? I just get mindfucked thinking about it.
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akira_akuma
Φύσις κρύπτεσθαι ὕψιστος φιλεῖ
Registered: 08/28/09
Posts: 82,455
Loc: Onypeirophóros
Last seen: 4 years, 2 months
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Re: Ask me a question about mathematics! [Re: muistrue]
#12486166 - 04/30/10 09:48 PM (13 years, 10 months ago) |
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where is he?
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ModularMind
M.P.F.
Registered: 02/09/10
Posts: 7,902
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Re: Ask me a question about mathematics! [Re: akira_akuma]
#12486176 - 04/30/10 09:49 PM (13 years, 10 months ago) |
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We angrily demand answers. :angry:
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YoSmokinMan
Stranger
Registered: 08/20/09
Posts: 1
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: laserpig]
#12486183 - 04/30/10 09:50 PM (13 years, 10 months ago) |
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Until you get down to one atom and split it. I wonder what would happen then.
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Breakfast Crew
Cheerios
Registered: 01/20/09
Posts: 1,985
Last seen: 12 years, 8 months
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Re: Ask me a question about mathematics! [Re: akira_akuma]
#12486184 - 04/30/10 09:50 PM (13 years, 10 months ago) |
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my quesions need answers!!
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blujay
pass it b*ch!
Registered: 04/01/09
Posts: 5,120
Last seen: 8 years, 7 months
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Re: Ask me a question about mathematics! [Re: muistrue]
#12486193 - 04/30/10 09:52 PM (13 years, 10 months ago) |
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Quote:
FractalDust said:
Quote:
laserpig said:
Quote:
FractalDust said: How big is the inch long string trillions of years from now after being cut in half once every second? Does it stay in existence for all eternity?
you know it does, brah
Yeah I know it does, but how big is it 10 trillion years from now? I just get mindfucked thinking about it.
No, you're wrong. A line (imaginary mental construct) can be divided in half infinitely. A string will eventually reacha point where you split an atom by accident in your impossible-small half-cuttings and blow the shit out of everything in an x-mile radius.
-------------------- wat man rly
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muistrue
Inspired by the mystery
Registered: 03/20/05
Posts: 12,899
Loc: Behind the Redwoods
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Re: Ask me a question about mathematics! [Re: YoSmokinMan]
#12486197 - 04/30/10 09:52 PM (13 years, 10 months ago) |
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Quote:
YoSmokinMan said: Until you get down to one atom and split it. I wonder what would happen then.
Yeah, how about we start with an atom instead of a inch of string. Split it 1 time every second for 42 trillion years. How big is that?
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laserpig
Weedmaster_P
Registered: 04/28/09
Posts: 7,468
Last seen: 11 years, 10 months
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Re: Ask me a question about mathematics! [Re: YoSmokinMan]
#12486205 - 04/30/10 09:54 PM (13 years, 10 months ago) |
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Quote:
YoSmokinMan said: Until you get down to one atom and split it. I wonder what would happen then.
oh, well if you're talking about actual matter then you'd hit one atom pretty quickly with exponential shortening
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Breakfast Crew
Cheerios
Registered: 01/20/09
Posts: 1,985
Last seen: 12 years, 8 months
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Re: Ask me a question about mathematics! [Re: muistrue]
#12486209 - 04/30/10 09:55 PM (13 years, 10 months ago) |
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Quote:
FractalDust said:
Quote:
YoSmokinMan said: Until you get down to one atom and split it. I wonder what would happen then.
Yeah, how about we start with an atom instead of a inch of string. Split it 1 time every second for 42 trillion years. How big is that?
STRING AND ATOMS EVERYWHUR!
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cacharstar
Strange is good...
Registered: 11/13/08
Posts: 4,014
Loc: The West Coast
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Re: Ask me a question about mathematics! [Re: Breakfast Crew]
#12486219 - 04/30/10 09:56 PM (13 years, 10 months ago) |
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How can 2 plus 2 =5?
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Breakfast Crew
Cheerios
Registered: 01/20/09
Posts: 1,985
Last seen: 12 years, 8 months
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Re: Ask me a question about mathematics! [Re: cacharstar]
#12486234 - 04/30/10 09:59 PM (13 years, 10 months ago) |
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nvm i lose
Edited by Breakfast Crew (04/30/10 10:01 PM)
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: cacharstar]
#12486243 - 04/30/10 10:00 PM (13 years, 10 months ago) |
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Quote:
cacharstar said: How can 2 plus 2 =5?
Assume it as an axiom.
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ModularMind
M.P.F.
Registered: 02/09/10
Posts: 7,902
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Re: Ask me a question about mathematics! [Re: Breakfast Crew]
#12486245 - 04/30/10 10:00 PM (13 years, 10 months ago) |
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What if c.a.t. really spelled dog.
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: muistrue]
#12486264 - 04/30/10 10:04 PM (13 years, 10 months ago) |
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Quote:
FractalDust said: I do have a question that I was pondering this morning after my hash breakfast.
Say you have a piece of matter, for example a inch long piece of string. Now you cut the string in half. Now you take the half that's left and cut it in half. Continue to cut the remaining piece in half 1 time every second. You never run out of string because you only cut half of it away each time, keeping the other half.
Now you do this once every second. How big will the string be in 1 year? How about a hundred years? A million? Will there always be string left in existence since you are only cutting half of what you have?
How big is the inch long string trillions of years from now after being cut in half once every second? Does it stay in existence for all eternity?
Man I was super baked this morning.
Your question is more of a physics question, because you begin with a piece of string. However, let me translate your question into mathematical terms. Begin with the interval of real numbers between 0 and 1, including the endpoints 0 and 1. Then remove the right-most half at each iteration (leaving on the string the right endpoint). What you are left with, after infinitely many iterations, is the single point 0. To see that this is true, consider any number of the initial interval which is greater than 0, and convince yourself that it is removed at some point.
Try to see why your idea quickly leads to the identity
1 = 1/2 + 1/4 + 1/8 + 1/16 + ...
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laserpig
Weedmaster_P
Registered: 04/28/09
Posts: 7,468
Last seen: 11 years, 10 months
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486267 - 04/30/10 10:04 PM (13 years, 10 months ago) |
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Quote:
DieCommie said:
Quote:
cacharstar said: How can 2 plus 2 =5?
Assume it as an axiom.
wasn't there someone who determined that an entirely coherent mathematics could be worked up from this assumption?
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: Breakfast Crew]
#12486289 - 04/30/10 10:08 PM (13 years, 10 months ago) |
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Quote:
DieCommie said:
Quote:
cacharstar said: How can 2 plus 2 =5?
Assume it as an axiom.
Quote:
Breakfast Crew said: Whats ohms law?
I'm sorry, that is not mathematics. On top of that, Ohm's "law" is not really a law and only holds for certain materials.
--------------------
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muistrue
Inspired by the mystery
Registered: 03/20/05
Posts: 12,899
Loc: Behind the Redwoods
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486292 - 04/30/10 10:09 PM (13 years, 10 months ago) |
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Quote:
isaacein said:
Quote:
FractalDust said: I do have a question that I was pondering this morning after my hash breakfast.
Say you have a piece of matter, for example a inch long piece of string. Now you cut the string in half. Now you take the half that's left and cut it in half. Continue to cut the remaining piece in half 1 time every second. You never run out of string because you only cut half of it away each time, keeping the other half.
Now you do this once every second. How big will the string be in 1 year? How about a hundred years? A million? Will there always be string left in existence since you are only cutting half of what you have?
How big is the inch long string trillions of years from now after being cut in half once every second? Does it stay in existence for all eternity?
Man I was super baked this morning.
Your question is more of a physics question, because you begin with a piece of string. However, let me translate your question into mathematical terms. Begin with the interval of real numbers between 0 and 1, including the endpoints 0 and 1. Then remove the right-most half at each iteration (leaving on the string the right endpoint). What you are left with, after infinitely many iterations, is the single point 0. To see that this is true, consider any number of the initial interval which is greater than 0, and convince yourself that it is removed at some point.
Try to see why your idea quickly leads to the identity
1 = 1/2 + 1/4 + 1/8 + 1/16 + ...
Thanks for the answer, I'm sure you're correct but I'm still mindfucked and I'm still baked.
--------------------
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: cacharstar]
#12486295 - 04/30/10 10:10 PM (13 years, 10 months ago) |
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Quote:
cacharstar said: How can 2 plus 2 =5?
Modulo 1, it's true.
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486304 - 04/30/10 10:11 PM (13 years, 10 months ago) |
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Quote:
DieCommie said: How about some intuition on the whole covarient/contravarient thing. I dont really get it. When you change the metric one changes one way and the other changes another way?
You mean in category theory?
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486325 - 04/30/10 10:14 PM (13 years, 10 months ago) |
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Quote:
isaacein said:
Quote:
DieCommie said: How about some intuition on the whole covarient/contravarient thing. I dont really get it. When you change the metric one changes one way and the other changes another way?
You mean in category theory?
Yes I think so. Ive used them in coordinate transformations.
Also, how about fourier transforms. I know what they do and I know how to do them but I dont really 'get it'. Somehow the perodic nature of is integrated over and gives you the inverse space?... If you have any intuition on that I would happily take it too.
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Breakfast Crew
Cheerios
Registered: 01/20/09
Posts: 1,985
Last seen: 12 years, 8 months
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486343 - 04/30/10 10:16 PM (13 years, 10 months ago) |
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What is the cube root of pie mr. smarty pants.
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Shins
Fun guy
Registered: 09/15/04
Posts: 16,337
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Re: Ask me a question about mathematics! [Re: Shins]
#12486347 - 04/30/10 10:17 PM (13 years, 10 months ago) |
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Quote:
Shins said: Is a base 60 number system a tool of Satan?
?
1+2+3+4+5+6+7+8.......+32+33+34+35+36 = 666! gasp
square root of 36 = 6!
666 is the 60th 12-factored number; 60 is the first 12-factored number.
The number of prime numbers up to 666 is 121, the square of the number of prime numbers up to 36.
*spins 360 degrees* see you in an hour (60 minutes)
or maybe 12 months...
lets expand more on "natures perfect number"
666!
and someone tell me why 9.999999999999999999999... is not 3/3 (1) but 1/3 is 3.333333333...
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: Shins]
#12486351 - 04/30/10 10:18 PM (13 years, 10 months ago) |
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Quote:
and someone tell me why 9.999999999999999999999... is not 3/3 (1) but 1/3 is 3.333333333...
.999... is 3/3
(internet classic )
(but 1/3 is not 3.333... )
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Shins
Fun guy
Registered: 09/15/04
Posts: 16,337
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486366 - 04/30/10 10:21 PM (13 years, 10 months ago) |
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so why is 3/3 not one then?
SMART GUY
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: Shins]
#12486367 - 04/30/10 10:21 PM (13 years, 10 months ago) |
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it is fool.
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cacharstar
Strange is good...
Registered: 11/13/08
Posts: 4,014
Loc: The West Coast
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486368 - 04/30/10 10:21 PM (13 years, 10 months ago) |
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There is energy there in the repeating decimal if we could only find a was to tap it.
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: cacharstar]
#12486373 - 04/30/10 10:22 PM (13 years, 10 months ago) |
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Quote:
cacharstar said: There is energy there in the repeating decimal if we could only find a was to tap it.
Tesla already did. They hide the secret from us!
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ApJunkie
part-time Ninja
Registered: 08/17/06
Posts: 2,735
Loc: Loc:Loc:Loc:Loc:Loc:
Last seen: 5 years, 4 months
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Re: Ask me a question about mathematics! [Re: Shins]
#12486377 - 04/30/10 10:23 PM (13 years, 10 months ago) |
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well 1/3 ISN'T 3.33333, it's .3333333
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cacharstar
Strange is good...
Registered: 11/13/08
Posts: 4,014
Loc: The West Coast
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486380 - 04/30/10 10:23 PM (13 years, 10 months ago) |
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Quote:
DieCommie said:
Quote:
cacharstar said: There is energy there in the repeating decimal if we could only find a was to tap it.
Tesla already did. They hide the secret from us!
Word.
--------------------
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Shins
Fun guy
Registered: 09/15/04
Posts: 16,337
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Re: Ask me a question about mathematics! [Re: cacharstar]
#12486396 - 04/30/10 10:27 PM (13 years, 10 months ago) |
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how can 1/3 be 3.3333 repeating but 3/3 be one not 9.999999 repeating?
NUMBERS FAIL!
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: Shins]
#12486399 - 04/30/10 10:28 PM (13 years, 10 months ago) |
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More like shins' decimal point fail.
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486406 - 04/30/10 10:28 PM (13 years, 10 months ago) |
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Quote:
Ask me a question about mathematics!
Whats the square root of this apartment?!
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Shins
Fun guy
Registered: 09/15/04
Posts: 16,337
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486409 - 04/30/10 10:29 PM (13 years, 10 months ago) |
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lol shit...
you know what i mean! lol
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: Shins]
#12486421 - 04/30/10 10:32 PM (13 years, 10 months ago) |
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Im not sure...
But .333... does equal 1/3 and .999... does equal 3/3 which does equal 1.
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starfire_xes
I Am 'They'
Registered: 10/24/09
Posts: 21,590
Loc: Dallas with all the assho...
Last seen: 8 months, 29 days
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486432 - 04/30/10 10:34 PM (13 years, 10 months ago) |
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Quote:
isaacein said:
Quote:
DieCommie said:
Quote:
cacharstar said: How can 2 plus 2 =5?
Assume it as an axiom.
Quote:
Breakfast Crew said: Whats ohms law?
I'm sorry, that is not mathematics. On top of that, Ohm's "law" is not really a law and only holds for certain materials.
Show me a material it doesn't hold for, we will make a trip to the patent office and become rich. Ohms law holds for any material, because in Ohm's law resistivity is constant. The fact that materials have different resistivities and the same material has changing resistivity at different temperatures doesn't matter because R is always assumed constant. Ohms law is also not contradictory to maxwells equations or relativity. It will still hold.
-------------------- [/url][/url] IF THE NEIGHBORS COMPLAIN BECAUSE THE MUSIC'S TOO LOUD, TURN IT UP SO YOU CAN'T HEAR THEM BITCH
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Shins
Fun guy
Registered: 09/15/04
Posts: 16,337
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486438 - 04/30/10 10:36 PM (13 years, 10 months ago) |
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i just realized I'm basically asking the same question as the string guy.... infinite repeating decimals - how faron do they go before something magic happens?!
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fazdazzle
Wanderer
Registered: 02/17/05
Posts: 1,796
Last seen: 11 years, 2 months
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Re: Ask me a question about mathematics! [Re: muistrue]
#12486445 - 04/30/10 10:38 PM (13 years, 10 months ago) |
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Quote:
FractalDust said: I do have a question that I was pondering this morning after my hash breakfast.
Say you have a piece of matter, for example a inch long piece of string. Now you cut the string in half. Now you take the half that's left and cut it in half. Continue to cut the remaining piece in half 1 time every second. You never run out of string because you only cut half of it away each time, keeping the other half.
Now you do this once every second. How big will the string be in 1 year? How about a hundred years? A million? Will there always be string left in existence since you are only cutting half of what you have?
How big is the inch long string trillions of years from now after being cut in half once every second? Does it stay in existence for all eternity?
Man I was super baked this morning.
Isn't this just Xeno's paradox?
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Shins
Fun guy
Registered: 09/15/04
Posts: 16,337
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Re: Ask me a question about mathematics! [Re: fazdazzle]
#12486457 - 04/30/10 10:41 PM (13 years, 10 months ago) |
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perhaps our understanding of the quite abstract idea that we call numbers is flawed! maybe when you are cutting by 1/2 you aren't really cutting in "half."
O.o
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486486 - 04/30/10 10:47 PM (13 years, 10 months ago) |
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Quote:
DieCommie said:
Yes I think so. Ive used them in coordinate transformations.
Do you know what a functor is?
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Also, how about fourier transforms. I know what they do and I know how to do them but I dont really 'get it'. Somehow the perodic nature of is integrated over and gives you the inverse space?... If you have any intuition on that I would happily take it too.
I'm not too familiar in this domain. However I can say a couple of words. Consider the set of of analytic functions of a complex variable which have a period of 1. We can consider these functions as analytic functions on (the surface of) a cylinder, because every point is identified with the point . (We just roll up the plane in a cylinder of circumference 1.)
Now the analytic functions of the cylinder obviously form a vector space over the complex numbers. We know that this vector space has a basis over (every vector space has a basis; this is equivalent to the axiom of choice). It turns out that the set of functions is a basis for this vector space. The function plays the role which plays in the plane. Now instead of having functions which are locally given by convergent Laurent series in are given locally by convergent Laurent series in , i.e. by convergent Fourier series.
Fourier series are just Laurent series on a cylinder.
Now consider the map which takes an analytic periodic function to the sequence of its Fourier coefficients about 0. This map encodes all the necessary information about the function; it's essentially the map which takes a periodic function to its coordinates in the basis ; as for any vector space, this map is an isomorphism.
The Fourier transform, as I understand it, is the smooth analogue of this isomorphism. Try to write the Fourier transform as a limit of Riemann sums...
Edited by isaacein (04/30/10 10:49 PM)
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486510 - 04/30/10 10:52 PM (13 years, 10 months ago) |
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Cool, yea that makes some sense. It builds my intuition slightly. Ive never worked with the laurent series though. I will read it again when I am sober tomorrow.
A few weeks ago I was thinking of this in a unrelated class and got a vision of the unit circle cycling through and mapping out an inverse period. For a moment I seemed to have an intuitive understanding I never had before, but the feeling faded and I have been kind of chasing it since.
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: starfire_xes]
#12486523 - 04/30/10 10:55 PM (13 years, 10 months ago) |
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starfire_xes said:
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isaacein said:
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DieCommie said:
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cacharstar said: How can 2 plus 2 =5?
Assume it as an axiom.
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Breakfast Crew said: Whats ohms law?
I'm sorry, that is not mathematics. On top of that, Ohm's "law" is not really a law and only holds for certain materials.
Show me a material it doesn't hold for, we will make a trip to the patent office and become rich. Ohms law holds for any material, because in Ohm's law resistivity is constant. The fact that materials have different resistivities and the same material has changing resistivity at different temperatures doesn't matter because R is always assumed constant. Ohms law is also not contradictory to maxwells equations or relativity. It will still hold.
You just mentioned materials it doesnt hold for, materials where resistivity is not constant. Inhomogeneous materials like integrated chips.
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486535 - 04/30/10 10:58 PM (13 years, 10 months ago) |
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DieCommie said: A few weeks ago I was thinking of this in a unrelated class and got a vision of the unit circle cycling through and mapping out an inverse period. For a moment I seemed to have an intuitive understanding I never had before, but the feeling faded and I have been kind of chasing it since.
I'm quite familiar with this feeling... it's a never-ending battle, eh!
Laurent series of a function about are just a generalized form of Taylor series, which allow for negative powers of as well as positive ones. (Negative powers appear in the series expansion when is a (non-removable) singularity).
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486544 - 04/30/10 10:59 PM (13 years, 10 months ago) |
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Oh right, yea I know those. This is some good stuff. Fourier series are Laurent series on a cylinder.
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486546 - 04/30/10 10:59 PM (13 years, 10 months ago) |
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Oh and not the least : good to speak to you DieCommie! How have you been?
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starfire_xes
I Am 'They'
Registered: 10/24/09
Posts: 21,590
Loc: Dallas with all the assho...
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486557 - 04/30/10 11:02 PM (13 years, 10 months ago) |
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Nope. you missed the point. Evaluate the material at any temperature, using the resistivity at that temperature. Current is still dependent on the resistivity. Resistivity can be a function of temperature, but that isn't ohms law.
-------------------- [/url][/url] IF THE NEIGHBORS COMPLAIN BECAUSE THE MUSIC'S TOO LOUD, TURN IT UP SO YOU CAN'T HEAR THEM BITCH
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486560 - 04/30/10 11:02 PM (13 years, 10 months ago) |
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Ive been better. Ive been worse too. I am struggling is school and am uncertain how much farther I will be able to go. It could go either way. Otherwise Im loving life in oregon!
How about you?
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486569 - 04/30/10 11:05 PM (13 years, 10 months ago) |
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DieCommie said: Oh right, yea I know those. This is some good stuff. Fourier series are Laurent series on a cylinder.
Yup!
Here's a very nice thing to think about... suppose we had an analytic function which had TWO independent periods in the plane (so it would repeat itself on a tiling of parallelograms). What kind of surface would be a well-suited domain for this function?
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486579 - 04/30/10 11:08 PM (13 years, 10 months ago) |
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DieCommie said: Ive been better. Ive been worse too. I am struggling is school and am uncertain how much farther I will be able to go. It could go either way. Otherwise Im loving life in oregon!
How about you?
You should keep up the fight man! How long until you finish your degree?
I'm doing pretty good. Slowly learning how to take care of myself efficiently, though it's not the easiest battle.
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akira_akuma
Φύσις κρύπτεσθαι ὕψιστος φιλεῖ
Registered: 08/28/09
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Loc: Onypeirophóros
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486580 - 04/30/10 11:08 PM (13 years, 10 months ago) |
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mathematical equation for life... closest approximation? what is it!?
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: akira_akuma]
#12486584 - 04/30/10 11:10 PM (13 years, 10 months ago) |
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It's 0=0!
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486602 - 04/30/10 11:13 PM (13 years, 10 months ago) |
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isaacein said: You should keep up the fight man! How long until you finish your degree?
On average, I would have 6.1 years left... I still have a few tries left for the quals, but funding isn't easily had (yet). Im still slugging along.
How about you, I forget where if you graduated yet or not.
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486627 - 04/30/10 11:19 PM (13 years, 10 months ago) |
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DieCommie said:
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isaacein said: You should keep up the fight man! How long until you finish your degree?
On average, I would have 6.1 years left... I still have a few tries left for the quals, but funding isn't easily had (yet). Im still slugging along.
How about you, I forget where if you graduated yet or not.
Yeah, money is always a problem. Do your best not to let that stop you though...
I haven't graduated yet; one year to go. I'm a fair step ahead of my fellow students though!
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486639 - 04/30/10 11:22 PM (13 years, 10 months ago) |
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Well, if the funding is cut then Im out because thats how the tuition and my wage is paid. But I still have a T.A. which funds me, and I will probably be on it next year too.
What are you gonna do in a year? Grad school somewhere?
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isaacein
exp(ix) = cosx + isinx
Registered: 05/21/08
Posts: 1,141
Last seen: 13 years, 1 month
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Re: Ask me a question about mathematics! [Re: DieCommie]
#12486663 - 04/30/10 11:27 PM (13 years, 10 months ago) |
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DieCommie said: Well, if the funding is cut then Im out because thats how the tuition and my wage is paid. But I still have a T.A. which funds me, and I will probably be on it next year too.
What are you gonna do in a year? Grad school somewhere?
I might take a bit more than a year to finish, just to do the job properly. After that, I'd like to do a Ph.D somewhere in the U.S. or in Europe if I'm good enough not to have to pay. Otherwise I'll do a M.Sc here before.
Did you take the comprehensive exam already?
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486707 - 04/30/10 11:38 PM (13 years, 10 months ago) |
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Yes, and I didnt pass. I didnt really study though, and got kinda close to passing. I have a few more tries so Im not worried about that. I guess the biggest hurdle is my rapid loss of enthusiasm for classes. I still have a year and a half until I dont take classes anymore, uggg it cant come soon enough.
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citricacidx
FunGuy
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Re: Ask me a question about mathematics! [Re: isaacein]
#12486720 - 04/30/10 11:42 PM (13 years, 10 months ago) |
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what is the significance of the number 22?
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DieCommie
Registered: 12/11/03
Posts: 29,258
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Re: Ask me a question about mathematics! [Re: citricacidx]
#12486740 - 04/30/10 11:47 PM (13 years, 10 months ago) |
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Edited by DieCommie (04/30/10 11:56 PM)
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starfire_xes
I Am 'They'
Registered: 10/24/09
Posts: 21,590
Loc: Dallas with all the assho...
Last seen: 8 months, 29 days
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Re: Ask me a question about mathematics! [Re: citricacidx]
#12486817 - 05/01/10 12:08 AM (13 years, 10 months ago) |
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citricacidx said: what is the significance of the number 22?
It is the number that follows 21 and precedes 23.
-------------------- [/url][/url] IF THE NEIGHBORS COMPLAIN BECAUSE THE MUSIC'S TOO LOUD, TURN IT UP SO YOU CAN'T HEAR THEM BITCH
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