Index

Symbols

$\sigma$ algebra

$\sigma$ field

A

Accumulation point Algebra probability Analysis matrix

Approximate Subdifferential Approximate subgradient Atom $\sigma$-algebra

B

Babel function Baire space Banach space Barrier cone barrier vector Basic feasible solution Bernoulli trials Biconjugate Binomial coefficient

Binomial theorem Bolzano-Weierstrass property Boole's inequality Borel algebra Borel field Boundary Boundary point Bounded function Boundedness metric space

C

Cantor set Cardinal number Cardinality of the continuum Cartesian product Certain event Chain Choice function Closed ball real line Closed convex function Closed function extended real valued Closed neighborhood real line Closed set Closure Closure point Co-meager set Coherence arbitrary matrices Combinatorial identity Combinatorial proof Compact metric space Compact set Complete metric space Compound experiment Compound sample space Compressed sensing Compressive sampling

Compressive sensing embedding explanation measurement noise Concave function Conditional independence Conditional probability Cone Conic combination Conic hull Conjugate function Connected subset Connectedness Contour Convergence metric space Convex combination Convex cone Convex function closure effective domain extended value extension improper proper strict Convex hull Convex set dimension Countable set

D

Deleted neighborhood real line Dense set Derived set Descent direction Diameter Dictionary incoherent spark

Differentiability proper function Directional derivative Distance point and set set and set Distance matrix Dual cone

E

Effective domain Elementary event Enumeration Epigraph Equivalence class Equivalence relation Equivalent metrics Equivalent norms Equivalent sets Event probability Extended real valued function closed function contour epigraph graph hypograph limit inferior limit superior proper function strict epigraph sublevel set superlevel set

Extended value extension Extreme point

F

Family of sets index set intersection pairwise disjoint union Feasible direction Fibonacci sequence Field probability Finite set Frontier Frontier point Function bijective composition composition (total) domain equality extension graph identity injective inverse inverse (total) partial range restriction set image set inverse image surjective total value

G

Gauge function Generalized binomial coefficient Generalized pigeonhole principle

Generated sigma algebra Global maximum Global minimum Grassmannian frame

H

Halfspace lower and closed upper and closed Hyperplane horizontal nonvertical vertical

Hypograph

I

Improper function Inclusion-exclusion principle Incoherent dictionary Independence 3 events n events Independent experiments Independent trials Indicator function, [1] Induction base case inductive hypothesis inductive step

Infinite cardinal number Infinite set Integer Interior Interior point Interval Isolated point

J

Joint probability

L

Lambda system Limit inferior extended real valued Limit superior extended real valued Line vertical

Line segment Linear transformation bounded Local extreme value Locally bounded function Lower semicontinuity extended real valued Lower semicontinuous hull

M

Marginal probability Matrix spark Max crossing problem Maximin problem Meager set Measurement space Metric induced by norm Metric space Cauchy sequence completion convergence finite product from a norm open cover sequence

Metric subspace Min common problem Minimax problem Min common/max crossing framework Mutual coherence Mutually exclusive events

N

Natural number Natural numbers segment Neighborhood real line Non-meager set Norm Norm cone Norm topology Normal cone normal vector

Normed linear space bounded set continuity convergence unit ball Normed space Nowhere dense set Null event Null space property

O

Open ball real line

Open set Ordered pair

P

Partial order lower bound maximal element minimal element upper bound Partially ordered set Partition set Pascal's identity Pi system Pigeonhole principle

Pointed cone Polar cone Polyhedral cone Power set Probability measure Probability space Proper cone Proper function Proximity Proximity graph Proximity matrix

Q

Quasi convex function

Quasi incoherent dictionary

R

Random experiment Ray Real valued function partial order Recursively defined sequence Relation binary composition functional injective intersection many-to-many many-to-one one-to-many one-to-one serial surjective union

S

Saddle point minimax Sample space Scatter matrix Self dual cone Semicontinuity extended real valued Sequence eventual satisfaction Set complement disjoint empty equality operations singleton symmetric difference Set of real valued functions Set partition Set valued function composition domain inverse range selection set image single valued Sign vector complex Signal $K$-term approximation compressible mask restriction

Signal space Similarity function Similarity matrix Simplex k-simplex midpoint Singleton event Stationary point Statistical scatter Strict epigraph Strict global maximum Strict global minimum Strongly equivalent metrics Subdictionary Subdifferentiability domain Subdifferential Subgradient Sublevel set Subsequence Subset proper Subset equivalence Superlevel set Support function Synthesis matrix

T

Tangent cone Tangent direction Topology

Total order Totally bounded metric space Totally ordered set Two ortho basis

U

Uncountable set Union bound

Upper semicontinuity extended real valued

Z

Zero divisor