Category:Numbers
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This category contains results about Numbers.
Definitions specific to this category can be found in Definitions/Numbers.
There are five main classes of number:
- $(1): \quad$ The natural numbers: $\N = \set {0, 1, 2, 3, \ldots}$
- $(1 \text a): \quad$ The non-zero natural numbers: $\N_{>0} = \set {1, 2, 3, \ldots}$
- $(2): \quad$ The integers: $\Z = \set {\ldots, -3, -2, -1, 0, 1, 2, 3, \ldots}$
- $(3): \quad$ The rational numbers: $\Q = \set {p / q: p, q \in \Z, q \ne 0}$
- $(4): \quad$ The real numbers: $\R = \set {x: x = \sequence {s_n} }$ where $\sequence {s_n}$ is a Cauchy sequence in $\Q$
- $(5): \quad$ The complex numbers: $\C = \set {a i b: a, b \in \R, i^2 = -1}$
Subcategories
This category has the following 42 subcategories, out of 42 total.
A
- Absolute Numbers (1 P)
- Absolutely Normal Numbers (1 P)
C
D
- Directed Numbers (empty)
E
F
G
I
- Interesting Numbers (empty)
M
N
- Negation Functions (1 P)
- Negative Numbers (empty)
O
- Octonions (2 P)
P
Q
R
S
T
U
- Usual Ordering (empty)
Z
- Zero Digit (empty)
- Zero to the Power of Zero (7 P)
Pages in category "Numbers"
The following 25 pages are in this category, out of 25 total.