Читать книгу Handbook of Intelligent Computing and Optimization for Sustainable Development - Группа авторов - Страница 102

For arithmetic operations on complex numbers, the following formula [3, 9, 10] is used. Let u = α₁ + β₁i, v = α₂ + β₂i, and w = α + βi.

 • u + v = (α1 + α2) + (β1 + β2)i

 • u − v = (α1 − α2) + (β1 − β2)i

 • u.v = (α1α2 − β1β2) + (α1β2 + α2β1)i

 •

 •

 • k.w = k.α + k.βi, where k is a scalar.