Category:Definitions/Complex Numbers
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This category contains definitions related to Complex Numbers.
Related results can be found in Category:Complex Numbers.
A complex number is a number in the form $a + b i$ or $a + i b$ where:
- $a$ and $b$ are real numbers
- $i$ is a square root of $-1$, that is, $i = \sqrt {-1}$.
Subcategories
This category has the following 22 subcategories, out of 22 total.
A
C
- Definitions/Complex Addition (3 P)
- Definitions/Complex Division (2 P)
- Definitions/Complex Modulus (4 P)
- Definitions/Complex Plane (12 P)
- Definitions/Complex Powers (7 P)
E
G
- Definitions/Gaussian Field (1 P)
I
- Definitions/Imaginary Parts (4 P)
- Definitions/Imaginary Unit (2 P)
P
R
- Definitions/Real Parts (4 P)
W
- Definitions/Wholly Imaginary (6 P)
- Definitions/Wholly Real (5 P)
Pages in category "Definitions/Complex Numbers"
The following 63 pages are in this category, out of 63 total.
A
C
- Definition:Circle Group
- Definition:Complex Absolute Value
- Definition:Complex Algebra
- Definition:Complex Arithmetic
- Definition:Complex Conjugate
- Definition:Complex Cross-Ratio
- Definition:Complex Division
- Definition:Complex Matrix
- Definition:Complex Matrix Space
- Definition:Complex Modulus
- Definition:Complex Negation Function
- Definition:Complex Number
- Definition:Complex Number as Vector
- Definition:Complex Number/Also known as
- Definition:Complex Number/Construction from Cayley-Dickson Construction
- Definition:Complex Number/Definition 1
- Definition:Complex Number/Definition 2
- Definition:Complex Number/Definition 2/Addition
- Definition:Complex Number/Imaginary Part
- Definition:Complex Number/Imaginary Unit
- Definition:Complex Number/Notation
- Definition:Complex Number/Polar Form
- Definition:Complex Number/Real Part
- Definition:Complex Number/Wholly Imaginary
- Definition:Complex Number/Wholly Real
- Definition:Complex Plane
- Definition:Complex Roots of Unity
- Definition:Complex Subfield
- Definition:Complex Subtraction
- Definition:Complex Zero
- Definition:Cross-Ratio
- Definition:Cross-Ratio/Complex Analysis
- Definition:Cyclotomic Ring
N
P
- Definition:Pointwise Addition of Complex-Valued Functions
- Definition:Pointwise Addition on Complex Vector Space
- Definition:Pointwise Multiplication of Complex-Valued Functions
- Definition:Pointwise Operation on Complex-Valued Functions
- Definition:Pointwise Scalar Multiplication of Complex-Valued Function
- Definition:Polar Form of Complex Number
- Definition:Power (Algebra)/Complex Number