This class was created by Brainscape user Charles Thomas. Visit their profile to learn more about the creator.
By:
Charles Thomas
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Decks in this class (18)
The Real Numbers
What is an upper bound of a set,
What is a sup,
What is an inf
7
cards
Open and Closed Sets
The union of any collection of op...,
The intersection of any finite co...,
What is a point of closure
5
cards
Countability and Uncountability
What does it mean for a set to be...,
Give the other criteria for count...
2
cards
Sequences, Limits and Series
Define lim sup and lim inf,
Give the epsilon delta definition...,
What is bolzano weistrass
3
cards
Structure Theorem
What is the structure theorem
1
cards
Accumulation Points
Define an accumulation point,
W
2
cards
G delta
What does g delta mean,
Wh
2
cards
Construction of Lebseque Measure
Define the outer measure,
What is the outer measure of an i...,
Give two properties of the outer ...
7
cards
Extended Real Numbers
Define convergence to infinity
1
cards
Measurable Sets
What does it mean for a set to be...,
Hat
2
cards
Abstract definition of a measure
Define a sigma algebra,
Define a measure
2
cards
Approximation results
Define,
Bor,
What kind of sets are borel
4
cards
Measurable Functions
Define a measurable function,
Give continuity in terms of preim...,
Define an indicator function
11
cards
Continuity and convergence
Define continuity,
Define uniform continuity,
Define pointwise convergence
6
cards
Lebesque Integral
Give the standard representation,
What is the integral of a standar...,
Give properties of integrals of s...
19
cards
Lebesgue Spaces
Define a normed linear space,
Define a cauchy sequence,
Define a banach space
27
cards
Hilbert Spaces
Define an inner product,
Define pre hilbert space,
State cauchy schwarz
27
cards
Fourier
Define fourier series and give it...,
Define dirichlet kernel,
Give explicit represenation for d...
10
cards
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Analysis
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