|
|
| I know what a transcendental number is |
| Of course! |
|
66% |
[ 6 ] |
| Nope... |
|
33% |
[ 3 ] |
|
| Total Votes : 9 |
|
|
|
|
|
|
|
|
 Posted: Thu Mar 15, 2007 6:22 pm
As you guys obviously know, yesterday was pi day.
I wrote a little post about it on another forum i am active on and had to do a little research on pi to come up with enough facts to fill up an entire post.
anyways, my mathematics background is obviously not very impressive, and i stumbled upon some facts i didn't understand.
the one that sticks out in my mind the most is the fact that pi is a transcendental number.
what does this mean?
|
 |
|
|
|
|
|
|
|
|
|
|
|
|
|
Posted: Fri Mar 16, 2007 7:05 am
super.funk As you guys obviously know, yesterday was pi day. I wrote a little post about it on another forum i am active on and had to do a little research on pi to come up with enough facts to fill up an entire post. anyways, my mathematics background is obviously not very impressive, and i stumbled upon some facts i didn't understand. the one that sticks out in my mind the most is the fact that pi is a transcendental number. what does this mean? If you've done algebra before, then you've seen equations like ax^2+bx+c=0. A transcendental number can never be the solution to such equations where a, b, and c are intergers.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Posted: Fri Mar 16, 2007 9:06 am
Morberticus has the right definition. Important things to know about transcendental numbers: a number which isn't transcendental is called algebraic, and the transcendal numbers are gigantically more numerous than the algebraic ones (there are as many transcendental numbers as there are points on the number line, whereas there are only as many algebraic numbers as there are whole numbers on the number line).
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Posted: Fri Mar 16, 2007 11:08 am
oh ok, that's really simple hehe.
thanks ^_^
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Posted: Sat Mar 17, 2007 11:44 pm
Moberticus is right, but a little vague. A transcendental number is never a root of ANY polynomial of ANY degree (with integer coefficients), not just never a root of a quadratic one.
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Reply
