Category:Definitions/Real Analysis
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This category contains definitions related to Real Analysis.
Related results can be found in Category:Real Analysis.
Real analysis is a branch of mathematics that studies real functions.
Subcategories
This category has the following 81 subcategories, out of 81 total.
A
- Definitions/Asymptotic Equality (12 P)
B
C
- Definitions/Cauchy Sequences (5 P)
- Definitions/Ceiling Function (7 P)
D
- Definitions/Dedekind Cuts (4 P)
- Definitions/Dirac Delta Function (11 P)
- Definitions/Divergence (8 P)
E
- Definitions/Euler's Number (9 P)
F
- Definitions/Floor Function (8 P)
- Definitions/Foiaș Constants (7 P)
G
H
- Definitions/Harmonic Series (3 P)
I
- Definitions/Inequalities (9 P)
L
- Definitions/Limits Inferior (3 P)
- Definitions/Limits of Sequences (15 P)
- Definitions/Limits Superior (3 P)
- Definitions/Logarithms (37 P)
M
O
- Definitions/Orthonormal Sets (2 P)
- Definitions/Oscillation (12 P)
P
- Definitions/Pi (9 P)
- Definitions/Power Series (16 P)
Q
R
- Definitions/Real Intervals (57 P)
- Definitions/Real Powers (7 P)
S
- Definitions/Signum Function (5 P)
- Definitions/Square Function (11 P)
- Definitions/Square Roots (17 P)
T
Pages in category "Definitions/Real Analysis"
The following 200 pages are in this category, out of 301 total.
(previous page) (next page)A
- Definition:Absolute Value
- Definition:Absolute Value of Mapping/Real-Valued Function
- Definition:Absolute Value of Real-Valued Function
- Definition:Absolutely Convergent Real Series
- Definition:Absolutely Convergent Series/Real Numbers
- Definition:Alexandroff Extension of Real Number Line
- Definition:Analysis/Real
- Definition:Analytic Function/Real Numbers
- Definition:Antiperiodic Function/Real
- Definition:Asymptotic Equality
- Definition:Asymptotic Equality/Real Functions/Infinity
- Definition:Asymptotic Equality/Real Functions/Point
- Definition:Asymptotic Equality/Sequences
B
C
- Definition:Cartesian Product/Cartesian Space/Real Cartesian Space
- Definition:Cartesian Product/Cartesian Space/Real Cartesian Space/Countable
- Definition:Cauchy Sequence/Real Numbers
- Definition:Ceiling Function
- Definition:Closed Ball (Real Analysis)
- Definition:Closed Ball/Real Analysis
- Definition:Closed Rectangle
- Definition:Closed Rectangle/Degenerate Case
- Definition:Closed Set (Real Analysis)
- Definition:Closed Set/Real Analysis
- Definition:Closed Set/Real Analysis/Real Euclidean Space
- Definition:Closed Set/Real Analysis/Real Numbers
- Definition:Closed Subset of Real Euclidean Space
- Definition:Closed Subset of Real Numbers
- Definition:Common Logarithm
- Definition:Compact (Real Analysis)
- Definition:Compact Set of Reals
- Definition:Compact Space/Real Analysis
- Definition:Compact Subset of Real Numbers
- Definition:Concave Real Function
- Definition:Condensed Series
- Definition:Convergent Mapping/Real Function
- Definition:Convergent Rational Sequence
- Definition:Convergent Real Function
- Definition:Convergent Real Sequence
- Definition:Convergent Real Series
- Definition:Convergent Sequence/Rational Numbers
- Definition:Convergent Sequence/Real Numbers
- Definition:Convex Real Function
- Definition:Convolution of Real Sequences
- Definition:Cube Root/Real
- Definition:Cut (Analysis)
D
- User:Dangcasanova/Sandbox.
- Definition:Darboux Function
- Definition:Decimal Approximation to Real Number
- Definition:Decreasing Real Sequence
- Definition:Decreasing/Sequence/Real Sequence
- Definition:Dedekind Cut
- Definition:Deleted Neighborhood/Real Analysis
- Definition:Difference Quotient
- Definition:Differentiable Mapping/Real Function
- Definition:Differentiable Mapping/Real-Valued Function
- Definition:Differentiable Mapping/Vector-Valued Function
- Definition:Dirac Delta Function
- Definition:Dirichlet Function
- Definition:Distance between Real Numbers
- Definition:Distance to Nearest Integer Function
- Definition:Distance/Points/Normed Vector Space
- Definition:Distance/Points/Real Numbers
- Definition:Distance/Sets/Real Numbers
- Definition:Divergent Function
- Definition:Divergent Real Sequence to Negative Infinity
- Definition:Divergent Real Sequence to Positive Infinity
- Definition:Divisor (Algebra)/Real Number
- Definition:Domain of Real Function
- Definition:Du Bois-Reymond Constants
E
- Definition:Entier Function
- Definition:Epigraph
- Definition:Epsilon-Neighborhood (Real Number Line)
- Definition:Euclidean Number Theory
- Definition:Euclidean Space/Euclidean Topology/Real
- Definition:Euclidean Space/Euclidean Topology/Real Number Line
- Definition:Euclidean Space/Euclidean Topology/Real Number Plane
- Definition:Euler's Number
- Definition:Euler-Mascheroni Constant
- Definition:Even Function
- Definition:Even Impulse Pair Function
- Definition:Exponential Function
- Definition:Exponential Order
- Definition:Exponential Order/Real Index
- Definition:Exponential Type
- Definition:Extended Real Number Line
- Definition:Extended Real Number Line/Definition 1
- Definition:Extended Real Number Line/Definition 2
- Definition:Extended Real Sequence
F
G
H
I
- Definition:Implicit Function
- Definition:Increasing Real Sequence
- Definition:Increasing Sequence of Real-Valued Functions
- Definition:Increasing/Sequence/Real Sequence
- Definition:Inequality
- Definition:Infinite Subdivision
- Definition:Integer Part
- Definition:Integral Part
- Definition:Inverse Fourier Transform/Real Function
- Definition:Irrational Number
- Definition:Irrational Number/Approximation
- Definition:Isolated Point (Real Analysis)
- User:Ivar Sand/Sandbox
L
- Definition:Least Upper Bound
- Definition:Left Difference Quotient
- Definition:Length of Real Interval
- Definition:Limit Inferior
- Definition:Limit Inferior of Extended Real Sequence
- Definition:Limit of Rational Sequence
- Definition:Limit of Real Function
- Definition:Limit of Real Sequence
- Definition:Limit of Sequence/Rational Numbers
- Definition:Limit of Sequence/Real Numbers
- Definition:Limit Superior
- Definition:Limit Superior of Extended Real Sequence
- Definition:Linear Real Function
- Definition:Linearly Dependent Real Functions
- Definition:Linearly Independent Real Functions
- Definition:Liouville's Constant
- Definition:Little-O Notation/Real
- Definition:Local Minimum in Set of Reals
- Definition:Lower Level Set
- Definition:Lower Semicontinuous
- Definition:Lower Semicontinuous on Subset
- Definition:Lower Semicontinuous/Subset
- Definition:Lower Sum
M
- Definition:Maclaurin Series
- Definition:Max Operation/General Definition/Real Numbers
- Definition:Maximum Value of Real Function
- Definition:Midpoint-Concave
- Definition:Midpoint-Convex
- Definition:Minimum Value of Real Function
- Definition:Monotone (Order Theory)/Sequence/Real Sequence
- Definition:Monotone Real Sequence
- Definition:Möbius Transformation/Real Numbers
N
- Definition:N-Cube (Euclidean Space)
- Definition:Nearest Integer Function
- Definition:Negative Part
- Definition:Negative Real Function
- Definition:Neighborhood (Real Analysis)
- Definition:Neighborhood (Real Analysis)/Epsilon
- Definition:Neighborhood (Real Analysis)/Open Subset
- Definition:Neighborhood of Infinity (Real Analysis)
- Definition:Neighborhood of Infinity (Real Analysis)/Negative Infinity
- Definition:Neighborhood of Infinity (Real Analysis)/Positive Infinity
- Definition:Neighborhood of Real Number
- Definition:Newton Quotient
- Definition:Non-Negative Real Function
- Definition:Norm of Subdivision
- Definition:Normal Subdivision
- Definition:Null Function
- Definition:Null Sequence/Rational Numbers
- Definition:Null Sequence/Real Numbers
O
- Definition:Odd Function
- Definition:Odd Impulse Pair Function
- Definition:Open Ball (Real Analysis)
- Definition:Open Ball of Real Euclidean Space
- Definition:Open Ball/Real Analysis
- Definition:Open Neighborhood (Real Analysis)
- Definition:Open Rectangle
- Definition:Open Set (Real Analysis)
- Definition:Open Set of Real Euclidean Space
- Definition:Open Set of Real Numbers
- Definition:Open Set/Real Analysis
- Definition:Open Set/Real Analysis/Real Euclidean Space
- Definition:Open Set/Real Analysis/Real Numbers
- Definition:Open Subset of Real Euclidean Space
- Definition:Open Subset of Real Numbers
- Definition:Oscillation/Real Space
- Definition:Oscillation/Real Space/Oscillation at Point