MA314 (Part 2) 2012-2013 - School of Mathematics, Statistics
... The set of complex numbers is obtained from the set of real numbers by adjoining an “imaginary” square root of −1, denoted by i. Complex numbers can be added together and multiplied to produce new complex numbers. 9. Q(i) - the set of Gaussian rational numbers Q(i) is the subset of C consisting of a ...
... The set of complex numbers is obtained from the set of real numbers by adjoining an “imaginary” square root of −1, denoted by i. Complex numbers can be added together and multiplied to produce new complex numbers. 9. Q(i) - the set of Gaussian rational numbers Q(i) is the subset of C consisting of a ...
17-Distribution Combine Like terms
... The leading term is 3x6. There are five terms The leading term is 3x6 the exponent of the first term is 6. The leading coefficient is 6. This is a sixth-degree polynomial. ...
... The leading term is 3x6. There are five terms The leading term is 3x6 the exponent of the first term is 6. The leading coefficient is 6. This is a sixth-degree polynomial. ...
Root of unity
In mathematics, a root of unity, occasionally called a de Moivre number, is any complex number that gives 1 when raised to some positive integer power n. Roots of unity are used in many branches of mathematics, and are especially important in number theory, the theory of group characters, and the discrete Fourier transform.In field theory and ring theory the notion of root of unity also applies to any ring with a multiplicative identity element. Any algebraically closed field has exactly n nth roots of unity, if n is not divisible by the characteristic of the field.