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scalar

noun

  1. one-dimensional physical quantity
  2. real number in context of mathematical multi-dimensional spaces
  3. real number in a computing context
L327178 on Wikidata ↗

adjective

No English definition recorded for this entry.

L340147 on Wikidata ↗

Wiktionary

Pronunciation: /ˈskeɪ.lə/ / /skeɪ.lɚ/ / /ˈskæɪ.lə/

adj

Etymology: Borrowed from Latin scālāris, adjectival form from scāla (“a flight of steps, stairs, staircase, ladder, scale”), for *scadla, from scandere (“to climb”); compare scale. The mathematics sense was coined by Irish mathematician and astronomer William Rowan Hamilton in 1846.

  1. Having magnitude but not direction.
  2. Consisting of a single value (e.g. integer or string) rather than multiple values (e.g. array).
  3. Of, or relating to scale.

    However, it can be expected that 'scale-similarity' models of this form will be inadequate for describing non-equilibrium scalar fields resulting, for example, from non-equilibrium inlet flow conditions.

    Scalar thickening is useful for understanding the propensity of scales to coalesce in certain times and places, or even how a particular scale provides conditions for other forms of scalar production.

  4. Of or pertaining to a musical scale.
  5. Relating to particles with a spin (quantum angular momentum) of 0 (known as spin 0).
  6. Pertaining to the dimension on which something is measured.

    Spector (2006, 2007) suggests to derive this inference as a scalar implicature.

    Also, the scalar meaning in both sentences is not sensitive to context, because the truth value of the sentences does not change depending on context.

noun

Etymology: Borrowed from Latin scālāris, adjectival form from scāla (“a flight of steps, stairs, staircase, ladder, scale”), for *scadla, from scandere (“to climb”); compare scale. The mathematics sense was coined by Irish mathematician and astronomer William Rowan Hamilton in 1846.

  1. A quantity that has magnitude but not direction; compare vector.
  2. An amplifier whose output is a constant multiple of its input.