# Highly Nonlinear Approximations for Sparse Signal Representation

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Elementary Definitions

Note: **Bold face**is used when a terminology is defined.

*Italics*are used to emphasize a terminology or statement.

**Subsections**

- Vector Space
- Subspaces - Direct sum
- Linear operators and linear functionals
- Frames and bases for finite a dimension vector space
- Normed vector space
- Inner product space
- Orthogonality
- The spaces , and