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w M w
from London (United Kingdom) on 2003-12-29 01:51 [#01008463]
Points: 21452 Status: Lurker
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http://mathforum.org/library/drmath/view/62707.html
If you define exponents as repeated multiplication, just as multiplication is repeated addition, you can visualize it geometrically in your mind in a "copy and paste" sort of way.
for example 2^1 = @@
2^2 = (@@)copy paste @@ =@@@@
2^3 = (@@@@)copy paste @@@@ =@@@@@@@@
etc.
but 2^0 makes no logical geometric sense I'm pretty sure. Instead it has been conventionally defined as one just so it will fit in with the patterns produced by the other exponents.
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Erronous
from Netherlands, The on 2003-12-29 01:54 [#01008465]
Points: 2519 Status: Lurker
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yes that's right..............??
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Jazembo
from The Earth ball on 2003-12-29 02:01 [#01008468]
Points: 2788 Status: Regular
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so what use is all that?
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w M w
from London (United Kingdom) on 2003-12-29 02:03 [#01008469]
Points: 21452 Status: Lurker
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I heard that otto von schirach spends his time tinkering with perverted number systems... such as where the first digit is base two, the second digit is base three, the third digit is base four etc. He figured out how to perform all of the normal mathematical operations using this system. This, I believe, somehow permitted him to build his cyborg hand.
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Erronous
from Netherlands, The on 2003-12-29 02:06 [#01008471]
Points: 2519 Status: Lurker
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actually it does make sense, you have to visualize the limit of the exponent to zero:
2^x with x=lim(a->0), it's perfectly right.
0 is nothing else than a very small number like 0,000000000000000000001, as you can't do math with 'nothing'.
on the other hand=you can't do 1/0= because that's infinite. but 1/x=999999999999999999999etc
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Jazembo
from The Earth ball on 2003-12-29 02:06 [#01008472]
Points: 2788 Status: Regular
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can it make me rich?
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w M w
from London (United Kingdom) on 2003-12-29 02:08 [#01008473]
Points: 21452 Status: Lurker
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Dr. Math is cool. I saw him live once, about a year ago at a local rave. The aura of number two pencils, ecstacy and mathematical insight was unique.
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tolstoyed
from the ocean on 2003-12-29 02:09 [#01008474]
Points: 50073 Status: Moderator
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i doubt it will make you rich...but you will be enlightened
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Jazembo
from The Earth ball on 2003-12-29 02:11 [#01008475]
Points: 2788 Status: Regular | Followup to tolstoyed: #01008474
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:) I am well on the way to finding truth, I have almost completed phase one and shall soon be ready for phase two 'the journey'
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w M w
from London (United Kingdom) on 2003-12-29 02:15 [#01008478]
Points: 21452 Status: Lurker | Followup to Erronous: #01008471
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hmm... that didn't make any damn sense. Thanks. I'm pretty sure that "0" stands for "nothing" not "a very very small number". That's why it can be used as a placeholder in the decimal system. the number "1305" has "zero" or "no" amount in the 10's place. I have seriously farted once or twice as I wrote this. I forget, but I'm pretty sure it was twice rather than once.
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mappatazee
from ¨y¨z¨| (Burkina Faso) on 2003-12-29 02:18 [#01008479]
Points: 14294 Status: Lurker | Followup to w M w: #01008463
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No, x^0=1 very definitely. x^(1/2) is the square root of x x^(1/3) is the cube root of x x^(1/4) is the fourth root of x x^(1/5) is the fifth root of x x^(1/6) is the sixth root of x etc., and this approaches 1 as the exponent gets closer and closer to 0.
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mappatazee
from ¨y¨z¨| (Burkina Faso) on 2003-12-29 02:21 [#01008480]
Points: 14294 Status: Lurker | Followup to w M w: #01008478
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zero is an integer on the real number line
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w M w
from London (United Kingdom) on 2003-12-29 02:41 [#01008486]
Points: 21452 Status: Lurker
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This place is for people who have yet to realize the universal purposelessness of art. Sure, everything is purposelessless, but art, like music for example, is especially purposeless.... isn't it?
But it can get worse than being merely harmless purposeless art. The behaviour of such a community of initially harmless sharers of their purposeless, though entertaining (sometimes), art can transform into a strange perversion of too frequent sharing of too low quality art just to get the reward of meaningless feedback. Soon, the social bonds are the focus rather than the art. Soon we find that all we have in common is the susceptibility to memetic viruses like the albums of aphex twin or posessers of music creating software, selecting it as fit for survival in its evil neverending putrid onslaught of binary replication. I'm going to bed and when I wake up I plan to be grumpy. We all have our off days, and I certainly deserve one tomorrow after all this bamboozled optimism. Or something.
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Erronous
from Netherlands, The on 2003-12-29 02:46 [#01008488]
Points: 2519 Status: Lurker | Followup to w M w: #01008486
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the number 0 is pretty much non-purpose-less-less
then again, you little philosopher, you shouldn't look at it that way. It doesn't combine at all.
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w M w
from London (United Kingdom) on 2003-12-29 02:50 [#01008491]
Points: 21452 Status: Lurker | Followup to mappatazee: #01008479
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hmm... that helped me understand even more than the distinguished raver, dr. math. I tip my hat to you. Unfortunately my hat was really a big plastic sombrerro filled with punch and when I tipped it it spilled all over you. On the positive side, the punch had ice cubes and was refreshing on this hot day, on the negative side, it's winter so actually by hot day I mean cold day, on the plus side you were really thirsty and were able to drink some, on the negative side the ice cubes knocked out one of your teeth as they hit you, on the plus side that tooth was one you needed pulled anyway because it was a baby tooth being pushed up by the adult tooth, on the negative side you have a strange condition where you still have baby teeth at your age, on the plus side... um
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w M w
from London (United Kingdom) on 2003-12-29 03:01 [#01008495]
Points: 21452 Status: Lurker
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I am done being the rock star of this topic. Let it be understood that, on paper, Erronous shall be credited for creating the initial message thus spawning this topic. Therefore please direct all further inquiries and comments toward Erronous, the new topic owner. If, under this new leadership, Erronous is responsible for putting even half of the glory into this topic that I put into it, I will be a very happy Smurf. Thank you, and god-fish bless you fine citizens of earth.
Sincerely, poshnu management
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Anus_Presley
on 2003-12-29 03:04 [#01008500]
Points: 23472 Status: Lurker
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you'rre all going to hell. Jesus did not do maths.
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w M w
from London (United Kingdom) on 2003-12-29 03:11 [#01008502]
Points: 21452 Status: Lurker
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It was a sin to take a picture of jesus and put it in your avatar. Everyone knows that if you take a picture of any american indians or any jesus's, you steal their soul by capturing it on film. Given that ordinary mortals have immunity to this, it makes one wonder why anyone would want to be a god or american indian in the first place.
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Refund
from Melbourne (Australia) on 2003-12-29 04:21 [#01008545]
Points: 7824 Status: Lurker | Followup to mappatazee: #01008479
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don't josh around with your hardcore math here ;\
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qrter
from the future, and it works (Netherlands, The) on 2003-12-29 07:10 [#01008708]
Points: 47414 Status: Moderator | Followup to w M w: #01008473
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.. a local rave for local people..?
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artemis
from Ghent (Belgium) on 2003-12-29 07:18 [#01008714]
Points: 667 Status: Lurker
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The easiest way to understand: a^0=a^{x-x}=a^x/a^x=1.
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dariusgriffin
from cool on 2003-12-29 07:26 [#01008725]
Points: 12423 Status: Regular
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Aah, limits, exponents.. Memories from last year come back into my mind.
Could you throw some more logarithms into the mix ?
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qrter
from the future, and it works (Netherlands, The) on 2003-12-29 07:28 [#01008727]
Points: 47414 Status: Moderator | Followup to dariusgriffin: #01008725
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are you getting a bit... excited.. Fabien..?
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eXXailon
from purgatory on 2003-12-29 07:30 [#01008731]
Points: 6745 Status: Lurker
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tan(90) = infinite
further than think I utterly stink at mathematics
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JAroen
from the pineal gland on 2003-12-29 07:31 [#01008732]
Points: 16065 Status: Regular
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e log 3^x = e log 9 3^x = 9 3^x = 3^2 x = 2
or something
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bryce_berny
from chronno (Canada) on 2003-12-29 07:40 [#01008737]
Points: 1568 Status: Lurker
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I liked dr. math's 5^2/5^2 = 1 = 5^(2-2)
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epohs
from )C: on 2003-12-29 08:09 [#01008765]
Points: 17620 Status: Lurker
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log
*snicker*
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nanotech
from Sukavasti Amitaba Pureland (United States) on 2003-12-29 11:37 [#01008998]
Points: 3727 Status: Regular
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don't worry about mathematix. i still don't understand why it works...and can't EVEN START TO FUCKING COMPREHEND why people are so pathagoeran in this day in age.
Don't be so fucking egotiztikal! Our weak ass frankensteined constructs we dub as math is a jallopy of metaphysics. Do we honestly believe that the whole universe is governed by this crap?
1+1=1 when 2 rain drops merge...
personally, i dig systems theory :P.
making sence? hmmmm.
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Cheffe1979
from fuck (Austria) on 2003-12-29 11:45 [#01009011]
Points: 4630 Status: Lurker | Followup to nanotech: #01008998
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systems theory in the sense of those germans in the fifties?
or the mathematical one, goedel and such
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uzim
on 2003-12-29 12:15 [#01009058]
Points: 17716 Status: Lurker
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Erronous, mappatazee > yes, it is comprehensible, but only in an abstract way - if you see what i mean! you can't do 2^0 by counting apples... =)
(and lots of math is like that) (i'm definitely not a math-head ^^)
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nanotech
from Sukavasti Amitaba Pureland (United States) on 2003-12-29 12:19 [#01009063]
Points: 3727 Status: Regular | Followup to Cheffe1979: #01009011
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well, it's somewhat based on grodel's works...however, i'm talking about fritjof capra, and co.
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artemis
from Ghent (Belgium) on 2003-12-29 13:00 [#01009102]
Points: 667 Status: Lurker
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Oh yes, i like it! I 'm a mathematician and my love for math is even great as for music.
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nene
from United States on 2003-12-29 13:35 [#01009149]
Points: 1475 Status: Lurker
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here's another, intuitive way of thinking about it.
2^3 means three 2's multiplied by each other 2^2 means two 2's multiplied by each other 2^1 means one 2 (no multiplication necessary) 2^0 means zero 2's multiplied by each other.
here's something else to think about. if math is a subdivision of logic, and music is math, does that mean music is nothing but applied logic? discuss.
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mc_303_beatz
from Glasgow, Scotland on 2003-12-29 13:47 [#01009164]
Points: 3386 Status: Regular
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e=mc2
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uzim
on 2003-12-29 13:57 [#01009180]
Points: 17716 Status: Lurker
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i don't agree with "music is math", not everyone composes with algorithms and electronic and all this stuff - and what about improvisation??
now, if you want to have a cold, mechanical, soulless vision of the word, you can say the universe is math, our brains are like computers, everything is math.... and you may be right, maybe, but i don't want to believe this anyway.
oh, and fuck boards of canada, too : )
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WooferAttack
from Milano (Italy) on 2003-12-30 01:31 [#01009788]
Points: 12920 Status: Lurker
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i was a disaster in math at school and i don't like it.
but i like track as polynominal c, music is math, mathematical equation, etc...
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WooferAttack
from Milano (Italy) on 2003-12-30 01:32 [#01009789]
Points: 12920 Status: Lurker
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btw: someone between your big mathematical brains solved the complex mathematical equation created by richie?
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Morton
from out (Netherlands, The) on 2003-12-30 04:16 [#01009840]
Points: 10000 Status: Addict
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2+2=5
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princo
from Shitty City (Geelong) (Australia) on 2003-12-30 04:18 [#01009843]
Points: 13411 Status: Lurker
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I won't sleep easy till they crown wMw as a moderator
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nanotech
from Sukavasti Amitaba Pureland (United States) on 2003-12-30 07:58 [#01010112]
Points: 3727 Status: Regular | Followup to WooferAttack: #01009789
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i remember something posted about this a LONG bit ago before i was even a MB member here. it said how this guy went to this chem/math chatroom, and posted the formula, someone in there recognized it as an afx track, and said that it's just a random equation, w/ no hidden insight.
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