Category:Definitions/Real Numbers
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This category contains definitions related to Real Numbers.
Related results can be found in Category:Real Numbers.
A real number is defined as a number which is identified with a point on the real number line.
Real Number Line
From the Cantor-Dedekind Hypothesis, the set of real numbers is isomorphic to any infinite straight line.
The real number line is an arbitrary infinite straight line each of whose points is identified with a real number such that the distance between any two real numbers is consistent with the length of the line between those two points.
Subcategories
This category has the following 24 subcategories, out of 24 total.
B
E
I
N
P
R
- Definitions/Real Division (2 P)
- Definitions/Real Intervals (69 P)
- Definitions/Real Matrices (1 P)
- Definitions/Real Number Line (11 P)
- Definitions/Real Powers (7 P)
S
Pages in category "Definitions/Real Numbers"
The following 83 pages are in this category, out of 83 total.
A
- User:Abcxyz/Sandbox/Real Numbers
- User:Abcxyz/Sandbox/Real Numbers/Definition:Ordering on Real Numbers
- User:Abcxyz/Sandbox/Real Numbers/Definition:Real Addition
- User:Abcxyz/Sandbox/Real Numbers/Definition:Real Multiplication
- User:Abcxyz/Sandbox/Real Numbers/Definition:Real Number
- Definition:Addition/Real Numbers
- Definition:Additive Group of Real Numbers
B
- Definition:Basis Expansion
- Definition:Bounded Above Set/Real Numbers
- Definition:Bounded Above Set/Real Numbers/Unbounded
- Definition:Bounded Above Subset of Real Numbers
- Definition:Bounded Below Set/Real Numbers
- Definition:Bounded Below Set/Real Numbers/Unbounded
- Definition:Bounded Below Subset of Real Numbers
- Definition:Bounded Set/Real Numbers
- Definition:Bounded Set/Real Numbers/Unbounded
D
E
F
M
N
P
- Definition:Pointwise Addition of Real-Valued Functions
- Definition:Pointwise Multiplication of Real-Valued Functions
- Definition:Pointwise Operation on Real-Valued Functions
- Definition:Pointwise Operation/Real-Valued Functions
- Definition:Pointwise Scalar Multiplication of Mappings/Real-Valued Functions
- Definition:Pointwise Scalar Multiplication of Real-Valued Function
- Definition:Polynomial over Real Numbers
- Definition:Polynomial/Real Numbers
- Definition:Positive Infinity
- Definition:Positive Real Number
- Definition:Positive/Real Number
R
- Definition:Real Addition
- Definition:Real Division
- Definition:Real Interval
- Definition:Real Matrix
- Definition:Real Matrix Space
- Definition:Real Multiplication
- Definition:Real Negation Function
- Definition:Real Number
- Definition:Real Number Line
- Definition:Real Number Multiplication
- Definition:Real Number/Also known as
- Definition:Real Number/Axiomatic Definition
- Definition:Real Number/Cauchy Sequences
- Definition:Real Number/Dedekind Cuts
- Definition:Real Number/Digit Sequence
- Definition:Real Number/Notation
- Definition:Real Number/Number Line Definition
- Definition:Real Number/Operations on Real Numbers
- Definition:Real Number/Real Number Line
- Definition:Real Numbers
- Definition:Real Subfield
- Definition:Real Subtraction
- Definition:Reciprocal
S
- Definition:Strictly Negative Real Number
- Definition:Strictly Negative Real Number/Also denoted as
- Definition:Strictly Negative Real Number/Also known as
- Definition:Strictly Negative/Real Number
- Definition:Strictly Positive Real Number
- Definition:Strictly Positive/Real Number
- Definition:Subtraction/Real Numbers