Transcendental number

A single transcendental number has the complexity to represent an itofazpath. The transcendental number and real numbers that can do this are called epistemological numbers. A conversion algorithm is frequently needed to convert the transcendental number into a more useful form of knowledge. This process can be done in the same way that a digital (binary) form of number is converted into sound and video from a CD.

In mathematics, a transcendental number is a (possibly complex) number that is not algebraic—that is, it is not a root of a non-zero polynomial equation with rational coefficients. The most prominent examples of transcendental numbers are π and e. Though only a few classes of transcendental numbers are known (in part because it can be extremely difficult to show that a given number is transcendental), transcendental numbers are not rare. Indeed, almost all real and complex numbers are transcendental, since the algebraic numbers are countable while the sets of real and complex numbers are both uncountable. All real transcendental numbers are irrational, since all rational numbers are algebraic. The converse is not true: not all irrational numbers are transcendental; e.g., the square root of 2 is irrational but not a transcendental number, since it is a solution of the polynomial equation x2 − 2 = 0. http://en.wikipedia.org/wiki/Transcendental_number