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What is a spectrum?

What is a spectrum? Here are some definitions.

Noun
  1. (obsolete) Specter, apparition. [from early 17th c.]
  2. A range; a continuous, infinite, one-dimensional set, possibly bounded by extremes.
  3. Specifically, a range of colours representing light (electromagnetic radiation) of contiguous frequencies; hence electromagnetic spectrum, visible spectrum, ultraviolet spectrum, etc. [from later 17th c.]
  4. (psychology) The autism spectrum.
  5. (chemistry) The pattern of absorption or emission of radiation produced by a substance when subjected to energy (radiation, heat, electricity, etc.).
  6. (mathematics) The set of eigenvalues of a matrix.
  7. (mathematics) Of a bounded linear operator A, the set of scalar values λ such that the operator A—λI, where I denotes the identity operator, does not have a bounded inverse; intended as a generalisation of the linear algebra sense.
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