Assertion: real number's value | /r/HasProperty | transcendental
Facets:
Source sentences:
text: If b is an algebraic number different from 0 and 1, and x an irrational algebraic number, then all values of bx (there are infinitely many) are transcendental (that is, not algebraic).
text: This theorem states that if a and b are both algebraic numbers, and a is not equal to 0 or 1, and b is not a rational number, then any value of ab is a transcendental number (there can be more than one value if complex number exponentiation is used).