# so.. - Lograh — LiveJournal

## Wednesday, 11.Feb.2004

### 18:03 - *so..*

*I'm going to sing the doom song now.Doom doom doom doomdoom doom doom doom doom doom doom doom doomdoom doom doom doom doom doom doom doom doom doom doom doom doom. . . *

So, we've all been introduced to those lovely numbers π (aprox 3.1415...) and e (aprox 2.71828...). They've been known of for hundreds, even thousands of years (the greeks knew of π, and I've heard (unconfirmed) rumour they knew of e as well). And it is known how they are trancendental numbers (not just irrational, but even more fun).

Pop quiz time!

What type of number is π+e.

It's a whole number! (like 3, 4, 5, etc...)

**0**(0.0%)

It's not a whole number, but not irrational (that is, it can be written as a fraction).

**1**(11.1%)

It's irrational (can't even be written as a fraction, like π and e themselves).

**3**(33.3%)

It's also trancendental.

**1**(11.1%)

It's an imaginary number (that'd be the ones with 'i' in them somewhere).

**0**(0.0%)

It's the type that makes my head hurt!

**4**(44.4%)

This poll brought on by my class discussion tonight where we touched on the proofs of the proper classifications of π and e (as examples of trancendental numbers over given rings -- so we diverged slightly).

pleckos(Link)tool!lograh## Re:

(Link)choasweasel## Hmmm.

(Link)lograh## Re: Hmmm.

(Link)here is a good explaination of what it means for a number to be transcendental. To sum up for those too lazy, though, a number is transcendental if it is not algebraic. A number is algebraic if it eventually becomes a rational number after taking it to a high enough power. For example, the square-root of 2, when squared, becomes a rational number (namely, 2). Thus the square-root of two is algebraic and thus not transcendental.

As for your claim that you may use them more than I, I shall point out that I'm in complex analysis right now. So unfortunately, odds are good that I'm using them more than you (both theoretically and computationally). Trust me, I look forward to the day you're using them more than me.