# Category:Complex Addition

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This category contains results about Complex Addition.

Definitions specific to this category can be found in Definitions/Complex Addition.

The **addition operation** in the domain of complex numbers $\C$ is written $+$.

Let $z = a + i b, w = c + i d$ where $a, b, c, d \in \R, i^2 = -1$.

Then $z + w$ is defined as:

- $\paren {a + i b} + \paren {c + i d} = \paren {a + c} + i \paren {b + d}$

## Subcategories

This category has the following 6 subcategories, out of 6 total.

## Pages in category "Complex Addition"

The following 23 pages are in this category, out of 23 total.

### C

- Complex Addition Identity is Zero
- Complex Addition is Associative
- Complex Addition is Closed
- Complex Addition is Commutative
- Complex Cross Product Distributes over Addition
- Complex Multiplication Distributes over Addition
- Complex Numbers under Addition form Group
- Complex Numbers under Addition form Infinite Abelian Group
- Complex Numbers under Addition form Monoid