How to pronounce “spectrum”

Meaning

• [Noun]
• A range; a continuous, infinite, one-dimensional set, possibly bounded by extremes.
• Specifically, a range of colours representing light (electromagnetic radiation) of contiguous frequencies; hence electromagnetic spectrum, visible spectrum, ultraviolet spectrum, etc. [from later 17th c.]
• (psychology, education, usually with the) The autism spectrum.
• (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 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.
• (commutative algebra, algebraic geometry) An abstract object in mathematics created from a commutative ring
• R
• {\displaystyle R}
• and denoted
• Spec
• ⁡
• (
• R
• )
• {\displaystyle \operatorname {Spec} (R)}
• or
• Spec
• ⁡
• R
• {\displaystyle \operatorname {Spec} R}
• and said to be the spectrum of
• R
• {\displaystyle R}
• ; useful in the study of such rings for providing a geometric object which encodes many of the properties
• R
• {\displaystyle R}
• , and in modern geometry for generalizing the notion of an algebraic variety to that of an affine scheme. Formally, the set of all prime ideals
• R
• {\displaystyle R}
• equipped with the Zariski topology and augmented with a sheaf of rings called the structure sheaf, generated by the B-sheaf on the distinguished open sets
• D
• f
• {\displaystyle D_{f}}
• which assigns the localization of
• R
• {\displaystyle R}
• at
• f
• {\displaystyle f}
• to each set
• D
• f
• {\displaystyle D_{f}}
• , regarded as a ring of functions on
• D
• f
• {\displaystyle D_{f}}
• . See Spectrum of a ring on Wikipedia.Wikipedia
• (obsolete) Specter, apparition. [from early 17th c.]
• The image of something seen that persists after the eyes are closed.

Practice Nearby Words

continuum, line, sphere, number, radiofrequency, universe, radio, shadow, frequency, landscape, gamma, arc, cross-section, series, class, divide, gamut, variety, portfolio, assortment, together, prospect, diversity, mix, scope, palette, breadth, line-up, range, framework, lineup, suite, spectre, ghost, spectral, specter, wraith, arena, whole, choice, curve, acceptability, fan, set, scale, pallet, rid, band, family, nightmare, array, panoply, field, threat, chessboard, gama, silk, areas, frequencies, mhz, scepter, span, width, sweep, extent, reach, spread, compass, panorama, selection, wavelengths, wavelength, broad, bandwidths, ranges, wavebands, waveband, lineshape, extremes, swath, narrowband, modulation, intensities, rainbow, lineshapes, side, passband, gamuts, facets, passbands, wavenumbers, polarisations, overlap, dichotomy, bandwidth, types, frequences, saturation, wavenumber, overtone

Similar Sounds

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