Category:Definitions/Analysis

C

• [+] Definitions/Calculus‎ (4)
• [+] Definitions/Complex Analysis‎ (2)

F

• [+] Definitions/Functional Analysis‎ (3)

G

• [×] Definitions/Geometric Function Theory‎ (0)

H

• [×] Definitions/Harmonic Analysis‎ (0)

H cont.

• [×] Definitions/Hyperbolic Functions‎ (0)

M

• [+] Definitions/Measure Theory‎ (1)

N

• [×] Definitions/Number Bases‎ (0)
• [+] Definitions/Numbers‎ (6)

P

• [×] Definitions/Polynomial Theory‎ (0)

S

• [+] Definitions/Special Functions‎ (1)

T

• [+] Definitions/Topology‎ (15)
• [×] Definitions/Trigonometry‎ (0)

(

• Definition:(Lower) Level Set

A

• Definition:Absolute Continuity
• Definition:Absolute Convergence
• Definition:Absolute Convergence of a Product
• Definition:Absolute Value
• Definition:Additive Function (Conventional)
• Definition:Cosecant/Analysis
• Definition:Cosine/Analysis
• Definition:Cotangent/Analysis
• Definition:Secant/Analysis
• Definition:Sine/Analysis
• Definition:Tangent/Analysis
• Definition:Analytic Function
• Definition:Arccosine
• Definition:Arccotangent
• Definition:Arcsine
• Definition:Arctangent
• Definition:Asymptotically Equal

B

• Definition:Basic Null Sequence
• Definition:Big O-Notation
• Definition:Big-Omega
• Definition:Big-Theta
• Definition:Bounded
• Definition:Bounded Mapping

C

• Definition:Cauchy Sequence
• Definition:Ceiling Function
• Definition:Closed Real Interval
• Definition:Closed-Form Expression
• Definition:Closed-Form Solution
• Definition:Codomain of a Sequence
• Definition:Common Logarithm
• Definition:Compact
• Definition:Compact Set of Reals
• Definition:Concave Function
• Definition:Conditional Convergence
• Definition:Continuity on a Real Interval
• Definition:Continuous at a Point
• Definition:Continuous on an Interval
• Definition:Continuous on the Left
• Definition:Continuous on the Right
• Definition:Continuous Real Function
• Definition:Convergent Function
• Definition:Convergent Sequence (Analysis)
• Definition:Convergent Series
• Definition:Convex Function
• Definition:Cosecant
• Definition:Cosine
• Definition:Cotangent
• Definition:Cube Root

D

• Definition:Decreasing
• Definition:Decreasing Function
• Definition:Deleted Neighborhood (Real Analysis)
• Definition:Discontinuous
• Definition:Distance
• Definition:Distance Between Points
• Definition:Distance from a Subset
• Definition:Divergent Function
• Definition:Divergent Sequence
• Definition:Divergent Series
• Definition:Divergent To Infinity
• Definition:Dominate

E

• Definition:Elementary Function
• Definition:Empty Real Interval
• Definition:Endpoint (Analysis)
• Definition:Epigraph
• Definition:Euler's Number
• Definition:Euler-Mascheroni Constant

E cont.

• Definition:Even Function
• Definition:Exponent
• Definition:Exponential
• Definition:Extended Real Number
• Definition:Extended Real Valued Function

F

• Definition:Finite Sequence
• Definition:Floor Function
• Definition:Fourier Transform
• Definition:Fractional Part
• Definition:Function

G

• Definition:General Logarithm
• Definition:Generating Function
• Definition:Golden Mean
• Definition:Graph of a Mapping
• Definition:Greatest Lower Bound

H

• Definition:Half-Open Real Interval
• Definition:Homogeneous Function

I

• Definition:Implicit Function
• Definition:Implied Constant
• Definition:Increasing
• Definition:Increasing Function
• Definition:Infimum
• Definition:Infimum of Mapping
• Definition:Infimum/Ordered Set
• Definition:Infinite Limit at Infinity
• Definition:Infinite Sequence
• Definition:Inflection Point
• Definition:Intermediate Value Property
• Definition:Interval of Convergence
• Definition:Irrational Number
• Definition:Isolated Point (Real Analysis)

K

• Definition:Kronecker Delta

L

• Definition:Least Upper Bound
• Definition:Length (Analysis)
• Definition:Limit from the Left
• Definition:Limit from the Right
• Definition:Limit Inferior
• Definition:Limit of a Real Function
• Definition:Limit of a Sequence (Number Field)
• Definition:Limit Point (Real Analysis)
• Definition:Limit Superior
• Definition:Linear Recurrence Relation
• Definition:Lipschitz Condition
• Definition:Lipschitz Constant
• Definition:Little O-Notation
• Definition:Little-Omega
• Definition:Local Maximum
• Definition:Local Minimum
• Definition:Logarithm
• Definition:Lower Semicontinuous
• Definition:Lower Sum

M

• Definition:Maximal Value
• Definition:Midpoint
• Definition:Midpoint (Analysis)
• Definition:Minimal Value
• Definition:Monotone (Mapping Theory)
• Definition:Monotone Function

N

• Definition:Natural Logarithm
• Definition:Nearest Integer Function
• Definition:Neighborhood (Real Analysis)
• Definition:Nonvanishing
• Definition:Null Sequence

O

• Definition:O-Notation
• Definition:O-Notation/Big O-Notation
• Definition:Odd Function
• Definition:Open Real Interval
• Definition:Open Region

O cont.

• Definition:Open Set (Real Analysis)
• Definition:Oscillating Sequence

P

• Definition:Partial Sum
• Definition:Period
• Definition:Periodic Function
• Definition:Pointwise Convergence
• Definition:Pointwise Sum
• Definition:Power (Algebra)
• Definition:Power Series
• Definition:Power to a Real Number

Q

• Definition:Quadratic Irrational

R

• Definition:Radius of Convergence
• Definition:Range of a Sequence
• Definition:Rational Sequence
• Definition:Decreasing/Real Function
• Definition:Increasing/Real Function
• Definition:Monotone (Mapping Theory)/Real Function
• Definition:Real Function
• Definition:Strictly Decreasing/Real Function
• Definition:Strictly Increasing/Real Function
• Definition:Strictly Monotone/Real Function
• Definition:Real Interval
• Definition:Real Number Line
• Definition:Analytic Function/Real Numbers
• Definition:Real Sequence
• Definition:Real-Valued Function
• Definition:Recurrence Relation
• Definition:Recursive Sequence
• Definition:Removable Discontinuity
• Definition:Root (Analysis)
• Definition:Root of a Function

S

• Definition:Secant
• Definition:Bounded/Sequence
• Definition:Decreasing/Sequence
• Definition:Increasing/Sequence
• Definition:Monotone (Mapping Theory)/Sequence
• Definition:Sequence
• Definition:Strictly Decreasing/Sequence
• Definition:Strictly Increasing/Sequence
• Definition:Sequence of Distinct Terms
• Definition:Series
• Definition:Sine
• Definition:Singleton Real Interval
• Definition:Smooth
• Definition:Square Root
• Definition:Stationary Point
• Definition:Strictly Decreasing
• Definition:Strictly Decreasing Function
• Definition:Strictly Increasing
• Definition:Strictly Increasing Function
• Definition:Strictly Increasing Mapping
• Strictly Increasing Sequence
• Definition:Strictly Monotone
• Definition:Strictly Monotone Function
• Definition:Strictly Monotone Sequence
• Definition:Subadditive Function (Conventional)
• Definition:Subdivision
• Definition:Subsequence
• Definition:Support
• Definition:Supremum
• Definition:Supremum of Mapping

T

• Definition:Taylor Series
• Definition:Terms of a Sequence
• Definition:The Plane
• Definition:Transcendental Number
• Definition:Trigonometric Function