The set of these entities has a two-dimensional normed division algebra, and forms an unordered field, extensions of which include Cayley numbers and quaternions. They can be represented in phasor form as powers of e. They are multiplied more easily in polar form using de Moivre's identity. A quadratic equation with a negat
The set of these entities has a two-dimensional normed division algebra, and forms an unordered field, extensions of which include Cayley numbers and quaternions. They can be represented in phasor form as powers of e. They are multiplied more easily in polar form using de Moivre's identity. A quadratic equation with a negative discriminant has these numbers as its solutions. A number of this type plus its conjugate equals two times its first term. For 10 points, name these numbers that can take the form a + bi, consisting of a real number plus an imaginary number.
The set of these entities has a two-dimensional normed division algebra, and forms an unordered field, extensions of which include Cayley numbers and quaternions.
{complex} numbers [prompt on {C}, prompt on {imaginary numbers}]