Let $\pm$ be the D606: Real addition operation.

The

**complex addition operation**is the D554: Binary operation \begin{equation} + : \mathbb{C} \times \mathbb{C} \to \mathbb{C}, \quad (a, b) + (c, d) = (a \pm c, b \pm d) \end{equation}

▾ Set of symbols

▾ Alphabet

▾ Deduction system

▾ Theory

▾ Zermelo-Fraenkel set theory

▾ Set

▾ Binary cartesian set product

▾ Binary relation

▾ Map

▾ Operation

▾ N-operation

▾ Binary operation

▾ Enclosed binary operation

▾ Groupoid

▾ Ringoid

▾ Semiring

▾ Ring

▾ Additive group

▾ Additive monoid

▾ Additive semigroup

▾ Additive groupoid

▾ Additive binary operation

▾ Natural number addition operation

▾ Integer addition operation

▾ Rational addition operation

▾ Real addition operation

▾ Alphabet

▾ Deduction system

▾ Theory

▾ Zermelo-Fraenkel set theory

▾ Set

▾ Binary cartesian set product

▾ Binary relation

▾ Map

▾ Operation

▾ N-operation

▾ Binary operation

▾ Enclosed binary operation

▾ Groupoid

▾ Ringoid

▾ Semiring

▾ Ring

▾ Additive group

▾ Additive monoid

▾ Additive semigroup

▾ Additive groupoid

▾ Additive binary operation

▾ Natural number addition operation

▾ Integer addition operation

▾ Rational addition operation

▾ Real addition operation

Formulation 0

Let $\mathbb{C}$ be the D372: Set of complex numbers.

Let $\pm$ be the D606: Real addition operation.

The**complex addition operation** is the D554: Binary operation
\begin{equation}
+ : \mathbb{C} \times \mathbb{C} \to \mathbb{C}, \quad
(a, b) + (c, d) = (a \pm c, b \pm d)
\end{equation}

Let $\pm$ be the D606: Real addition operation.

The