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 10 subcategories, out of 10 total.
B
- Definitions/Basis Expansions (19 P)
E
R
- Definitions/Real Intervals (61 P)
- Definitions/Real Powers (7 P)
- Definitions/Reciprocals (7 P)
Pages in category "Definitions/Real Numbers"
The following 77 pages are in this category, out of 77 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
D
E
F
M
N
O
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 Number
- 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 Number/Real Number Line/Ordering
- Definition:Real Number/Real Number Line/Origin
- Definition:Real Numbers
- Definition:Real Subfield
- Definition:Real Subtraction
- Definition:Reciprocal
S
- Definition:Strictly Negative Real Number
- Definition:Strictly Negative/Real Number
- Definition:Strictly Positive Real Number
- Definition:Strictly Positive/Real Number
- Definition:Strictly Positive/Real Number/Definition 1
- Definition:Strictly Positive/Real Number/Definition 2
- Definition:Subtraction/Real Numbers