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Charles Thomas
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Decks in this class (18)
The Real Numbers
What is an upper bound of a set 1,
What is a sup 2,
What is an inf 3
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 3
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 1,
Give the epsilon delta definition...,
What is bolzano weistrass 2
3
cards
Structure Theorem
What is the structure theorem 1
1
cards
Accumulation Points
Define an accumulation point 1,
What is a perfect set 2
2
cards
G delta
What does g delta mean 1,
What does f sigma mean 2
2
cards
Construction of Lebseque Measure
Define the outer measure 1,
What is the outer measure of an i...,
Give two properties of the outer ...
7
cards
Extended Real Numbers
Define convergence to infinity 1
1
cards
Measurable Sets
What does it mean for a set to be...,
What is the excision property 2
2
cards
Abstract definition of a measure
Define a sigma algebra 1,
Define a measure 2
2
cards
Approximation results
Define borel sets 1,
Define equivlences for lebesque m...,
What kind of sets are borel 3
4
cards
Measurable Functions
Define a measurable function 1,
Give continuity in terms of preim...,
Define an indicator function 3
11
cards
Continuity and convergence
Define continuity 1,
Define uniform continuity 2,
Define pointwise convergence 3
6
cards
Lebesque Integral
Give the standard representation 1,
What is the integral of a simple ...,
Give properties of integrals of s...
19
cards
Lebesgue Spaces
Define a normed linear space 1,
Define a cauchy sequence 2,
Define a banach space 3
27
cards
Hilbert Spaces
Define an inner product 1,
Define pre hilbert space 2,
State cauchy schwarz 3
27
cards
Fourier
Define fourier series and give it...,
Define dirichlet kernel 2,
Give explicit represenation for d...
10
cards
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Analysis
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