No that's "irrational", transcendental means it's not the root of any algebraic equation. Actually all numbers have infinite digits, for some of them they just happen to be 0 after some point.
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Anonymous2005-11-30 14:35
Pi is trancendental.
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zeppy!GuxAK3zcH.2005-11-30 15:46
Pi is not infinite, but irrational. Infinite in the sense that there are no end to the decimals, yes. Otherwise, no.
Considering that the circumference of a circle is something multiplied by pi, it's kind of.. impossible that pi is infinite, since it's possible to put things outside the circle.
Well, PI is finite because it is a number and infinite numbers don't exist alright
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Anonymous2006-04-30 3:14
>>25
Yeah they do, as much as negative numbers exist. I mean shit, just cause you can't find infinity on the earth, just like you can't find negative pie, doesn't mean it doesn't exist. Do negative numbers exist then? I guess not...
Math is an abstract symbolic language for dealing with things outside our minds normal comprehension The math for infinity exists for this reason, cause we can't deal with it in everyday life. We need symbols and rules to deal with it. Rules that have been debated and proven, etc, etc.
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Anonymous2006-04-30 22:48
hey god why did you make pi something so hard to figure out
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God2006-04-30 23:11
π is an entirely abstract concept. Its value is not something I can change.
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Boring person2006-05-01 2:42
Pi is irracional because it cannot be described as a divison of two integers (racional).
It has infinite digits as proved by the algorithms to calculate them.
It is described by a symbol.
It's value is the perimeter of a circumference of 1 unit in diameter.
With Pi and the other trigonometry you can relate the space of the Complex numbers and the Real numbers (not the only way).
Pi digits don't repeat themselves, it's common to find curious patterns in Pi, but they usually don't go very far.
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Anonymous2006-05-01 11:25
>>29
>It has infinite digits as proved by the algorithms to calculate them.
lolol
you don't need algorithms have prove irrational have infinite decimal expansion. it just follows from the theorem that a number if finite iff it has a periodic or finite decimal expansion.
By "infinite" one can only hope you only failed to say that it has an infinite number of decimal places, not that it has a value of infinity, because obviously it is finite, otherwise all circles (and anything made of circles) would be found infinitely large and it would just be a part of that vague concept called "infinity" and we wouldn't bother giving it the name 'Pi'.
Assuming you did mean infinitely long in terms of decimal places, if it has a finite number of decimal places, we will find out when we calculate the final decimal place. If not, then we would never know for sure. We do know that it has yet to be described as a divison of two rational numbers. Grade school teachers may use 22/7 (somewhat close for a few digits), I forget why...
>>31 We do know that it has yet to be described as a divison of two rational numbers.
Pi is in the set of irrationals (the proof is elementary) thus that can never described as the ratio of rationals.
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Anonymous2006-05-02 6:43
After 32 didgets (something like that) it becomes mathematically insegnificant. But 3.14... is only an approximate, the exact value is something like (14-square root of 2)/4. Usually you will use the exact value rather than messy approx. decimals.
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Anonymous2006-05-02 7:10
>>35
you're an idiot or a physicist if you think the digits become insignificant after 32 digits.
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Anonymous2006-05-02 7:28
sry it was 34 decimals (forgive me) it becomes insignificant, based on planck's constant. There is no need to go out further than that because the decimals mean pretty much nothing. For Physics 34 decimals is the furthest you go (unless you finds out observation has an effect on the expiriment, then it might go out further).
Although that wasn't my point, because 3.14... is an approx value for Pi, I already stated the exact value for Pi.
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Anonymous2006-05-02 7:32
>>37
yeah right. lolol. try finding out the simple continued fraction representation of pi with just 34 decimals.
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Anonymous2006-05-02 7:42
>>38
You don't use the decimal value! that's what I'm saying! Can you fucking read?
The approx value of Pi is mathematically insegnificant after 34 decimal placed that's what rounding is for buddy.
Use the exact value: (14-square root of 2)/4 <--- that is the exact value of Pi.
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Anonymous2006-05-02 7:45
>>39
>>Use the exact value: (14-square root of 2)/4 <--- that is the exact value of Pi.
What the fuck are you on about. pi is transcendental and hence cannot be a quadratic surd. gtfo.