# Category:Complex Multiplication

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This category contains results about **Complex Multiplication**.

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

The **multiplication operation** in the domain of complex numbers $\C$ is written $\times$.

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

Then $z \times w$ is defined as:

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

## Subcategories

This category has the following 11 subcategories, out of 11 total.

### C

### E

### M

### P

## Pages in category "Complex Multiplication"

The following 33 pages are in this category, out of 33 total.

### C

- Complex Modulus of Product of Complex Numbers
- Complex Multiplication as Geometrical Transformation
- Complex Multiplication Distributes over Addition
- Complex Multiplication Identity is One
- Complex Multiplication is Associative
- Complex Multiplication is Closed
- Complex Multiplication is Commutative
- Complex Numbers under Multiplication do not form Group
- Complex Numbers under Multiplication form Monoid

### I

### M

### N

### P

- Pointwise Multiplication on Complex-Valued Functions is Associative
- Pointwise Multiplication on Complex-Valued Functions is Commutative
- Product of Complex Conjugates
- Product of Complex Number with Conjugate
- Product of Complex Numbers in Exponential Form
- Product of Complex Numbers in Polar Form
- Product of Complex Numbers in Polar Form/General Result
- Product of Imaginary Unit with Itself
- Product of Wholly Real Numbers is Wholly Real