Saturday, April 18, 2009

Transcendental Numbers

The transcendental numbers are a part of the irrational numbers. Transcendental numbers are numbers that do not solve any polynomial equation that has rational coefficients. π and e are transcendental numbers so they don't solve any equations like:

4x - 7 =0
5x2 - 3x + 4 = 0
(4/5)x7 - 1.24x3 - 8 = 0

Strangely, it is not known whether π + e or π × e is transcendental, though at least one of them must be.

No comments:

Post a Comment