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Spectrum vs Eigenspectrum - What's the difference?

spectrum | eigenspectrum |

As nouns the difference between spectrum and eigenspectrum

is that spectrum is specter, apparition while eigenspectrum is a spectrum of eigenvalues.

spectrum

Noun

(en-noun)
  • Specter, apparition.
  • A range; a continuous, infinite, one-dimensional set, possibly bounded by extremes.
  • * {{quote-news, year=2012, date=November 7, author=Matt Bai, title=Winning a Second Term, Obama Will Confront Familiar Headwinds, work=New York Times citation
  • , passage=As Mr. Obama prepared to take the oath, his approval rating touched a remarkable 70 percent in some polling — a reflection of good will across the political spectrum .}}
  • Specifically, a range of colours representing light (electromagnetic radiation) of contiguous frequencies; hence electromagnetic spectrum, visible spectrum, ultraviolet spectrum, etc.
  • * 2010 October 30, Jim Giles, Jammed!'', in '' ,
  • Current 3G technologies can send roughly 1 bit of data - a one or a zero - per second over each 1 Hz of spectrum that the operator owns.
  • (chemistry) The pattern of absorption or emission of radiation produced by a substance when subjected to energy (radiation, heat, electricity, etc.).
  • (mathematics, linear algebra) The set of eigenvalues of a matrix.
  • (mathematics, functional analysis) Of a bounded linear operator A'', the set of scalar values ? such that the operator ''A—?I'', where ''I denotes the identity operator, does not have a bounded inverse; intended as a generalisation of the linear algebra sense.
  • Derived terms

    * light spectrum * spectro- * spectrum disorder

    eigenspectrum

    English

    Noun

    (eigenspectra)
  • (mathematics) A spectrum of eigenvalues