De Moivre's equation allows one to simplify high powers of trigonometric functions with these numbers as arguments. In second order linear differential equations, eigenvalues of this type imply sinusoidal solutions. Quaternions are an extension of these with two more members, and Cardano introduced them in the sixteenth cen
De Moivre's equation allows one to simplify high powers of trigonometric functions with these numbers as arguments. In second order linear differential equations, eigenvalues of this type imply sinusoidal solutions. Quaternions are an extension of these with two more members, and Cardano introduced them in the sixteenth century to solve cubic equations. The fundamental theorem of algebra guarantees that all polynomials can be uniquely factored over this field, the set of which is denoted by a blackboard C. For ten points, name this type of number with form A plus B I, the sum of a real and an imaginary part.
De Moivre's equation allows one to simplify high powers of trigonometric functions with these numbers as arguments.