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Set Theory
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Probability and Random Variables
Geometry
Numerical Optimization
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Detection, Classification and Estimation
ECG
Computational Complexity
Library Classes
Exercises
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Index
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Index
Index
Symbols
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A
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B
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C
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D
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E
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F
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G
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H
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I
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J
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K
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L
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M
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N
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O
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P
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Q
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R
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S
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T
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U
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V
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W
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Z
Symbols
:math:`\FF` Unitary matrix
:math:`K`-term approximation
:math:`p`-compressible signal
:math:`p`-norm for matrices
A
Abelian group
Addition of linear transformations
Affine combination
Affine dimension
Affine function
Affine hull
Affine independence
Affine set
Algebraic multiplicity
Algebraic structure
Analysis matrix
Associative ring
Associative ring with identity
Atom
Axiom of choice
,
[1]
B
Babel function
Babel function upper bound
Base point
Basis
Block diagonal matrix
Block diagonally dominant matrix
Block matrix
Block strictly diagonally dominant matrix
Boole's inequality
Bracket operator
C
Cardinal number
Cardinality
Cardinality of the continuum
Cartesian product
Chain
Characteristic equation
Characteristic polynomial
Characteristic value
Chebyshev's inequality
Choice function
Closed ball
Closed set
Closure
Closure point
Clsoed halfspace
Codimension
Coherence of a matrix
Coherence of dictionary
Column rank
Column space
Commutative group
Complement of a set
Complete dictionary
Component wise inequality
Composition
Cone
Conic combination
Conic hull
Consistent matrix norm
Convex combination
Convex cone
Convex hull
Convex set
Coordinate vector
Countable
D
Desirability
Diagonal matrix
,
[1]
Diagonalizable
Diagonally dominant matrix
Dictionary
Difference
Dimension of vector space
Dimension theorem
Dirac-DCT dictionary
Dirac-Hadamard dictionary
Direction
Disjoint sets
Distance
Distributive law
E
Eigen space
Eigen value
Eigen value decomposition of a Hermitian matrix
Eigen vector
Ellipsoid
Empty set
Equivalence class
Equivalence relation
Equivalent sets
Euclidean closed ball
Euclidean closed ball!center
Euclidean closed ball!radius
Euclidean metric
Exact recovery condition for OMP
Exact-sparse
,
[1]
Explanation signal
F
Family of sets
Field
Finite dimensional vector space
Finite set
Frame operator
Frobenius norm on matrix
Full rank matrix
Function
Function!Domain
Function!Equality
Function!Image
Function!Injective
Function!Inverse image
Function!Range
Function!Surjective
G
Gaussian random vector
Gaussian sensing matrix
Generalized inequality
Generalized inequality!Maximal element
Generalized inequality!Maximum element
Generalized inequality!Minimal element
Generalized inequality!Minimum element
Geometric multiplicity
Gershgorin's disc
Gershgorin's theorem
Gram matrix
Gram matrix of columns of a matrix
Gram matrix of rows of a matrix
Grassmannian frame
Greedy selection ratio
Group
H
Halfspace
Hoeffding's inequality
Hoeffding's inequality for Bernoulli r.v.
Hoeffding's lemma
Hyperplane
Hyperplane!Normal vector
I
Identity function
Identity transformation
Image
Incoherent dictionary
Index set
Infinite cardinal number
Infinite dimensional vector space
Infinite set
Interior
Interior point
Intersection
Invariant subspace
Inverse of a function
Inverse of a matrix
Invertible matrix
J
Jensen's inequality
K
Kernel
L
Largest entries approximation
Latent value
Left singular vector
Line
Line segment
Linear combination
,
[1]
Linear map
Linear operator
Linear transformation
Linearly dependent
Linearly dependent set
Linearly independent
Low rank approximation
Low rank matrix
Lower bound
M
Main diagonal
Markov's inequality
Matrix
Matrix :math:`p`-norm
Matrix norm
Matrix representation of linear operator
Max column sum norm
Max norm on matrix
Max row sum norm
Maximal element
Measurement space
Measurement vector
Metric
Metric space
Minimal element
Moore-Penrose pseudo-inverse
Multiplication of block matrices
Mutual coherence
N
N-tuple vector space
Natural numbers!Segment
Nonnegative homogeneous
Nonnegative linear combination
Nonnegative orthant
Norm ball
Norm cone
Null space
Null space property
Nullity
O
Off diagonal
Open ball
Open halfspace
Open set
Operator norm
Ordered basis
Ordered pair
Orthogonal matrix
Orthogonal projection operator
Orthogonally diagonalizable matrix
Over-complete dictionary
P
Pairwise disjoint
Partial order
Partially ordered set
Partition
Partitioned matrix
Polyhedron
Polytope
Power set
Projection
,
[1]
Proper cone
Proper cone!Partial ordering
Proper cone!Strict partial ordering
Proper subset
Proper value
Q
Quasi-incoherent dictionary
R
Rademacher sensing matrix
Range
Rank
,
[1]
Ray
rectangular diagonal matrix
Redundant dictionary
Regularization
Relation
Restriction of a matrix on an index set
Restriction of a signal on an index set
Right singular vector
Row column norms
Row rank
Row space
S
Same cardinality
Scalar multiplication of linear transformation
Scaling
Schroeder-Bernstein Theorem
Second order cone
Sensing matrix
,
[1]
Sensing vector
Sequence
Set
Set of symmetric :math:`N\times N` matrices
Set of symmetric positive definite matrices
Set of symmetric positive semidefinite matrices
Sign vector
Signal space
Similar matrices
Simplex
Singleton
Singular value
,
[1]
Singular value decomposition
Span
Spark
Spark lower bound
Sparse approximation
,
[1]
,
[2]
Spectral norm
Spectrum of a matrix
Square matrix
Stability of recovery algorithm
Standard basis for :math:`N`-tuples
Standard basis for polynomials
Strictly diagonally dominant matrix
Strictly subgaussian
Sub-dictionary
Sub-multiplicative norm
Subgaussian
Subgaussian moment
Subordinate matrix norm
Subsequence
Subset
Subspace
Sum norm on matrix
Sum of two sets in :math:`\RR^N`
Symmetric difference
Symmetric matrices
Synthesis matrix
T
Tall matrix
Taxicab metric
Totally ordered set
Trace
Translation
U
Uncountable set
Union
Unique representation
Uniqueness Spark
Uniqueness-Coherence
Unitary diagonalizable matrix
Unitary invariant matrix norm
Unitary matrix
Upper bound
V
Vector space
Vector space of linear transformations
W
Wide matrix
Z
Zero transformation
Zorn's lemma
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