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dimensionless

dimensionless

1 7.7
A number with no physical size or units
  • adjective
  • /dɪˈmɛnʃənlɛs/
  • Specialized
translation icon : adimensional
  • When analyzing the motion of an object, it is useful to express the results in a dimensionless form.
  • dimensionless parameter
  • dimensionless quantity
  • dimensionless measure

It's called the fine structure constant, and it's dimensionless.

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Examples

  • A dimensionless quantity, like the coefficient of friction, helps us compare different materials without units.

  • where T represents a dimensionless temperature.

    Academic text (2005)
  • Therefore, one cannot say which constant among e, h, and c is changing, only that the dimensionless a is.

    Academic text (2004)
  • The strength of the gravitational field is expressed by the dimensionless strain.

    Academic text (1999)
  • The modeling parameters are converted into dimensionless numbers using appropriate scales.

    Academic text (2018)
  • The values were then transformed to a uniform, dimensionless score on a 5-point scale according to a key for every variable.

    Academic text (2000)
  • In renormalizable field theories, the coupling constant must be dimensionless.

    Academic text (2004)
  • The Brans-Dicke theory contains an adjustable dimensionless parameter, omega.

    Academic text (1994)
  • In fluid dynamics, we often use dimensionless numbers to simplify complex equations.

Antonyms

dimensional
  • Specialized
100 5.7

About measurement in one direction or in many

Surface Forms

dimensionless positive

Morphology

dimensionless = dimension (transparent) = dimension + less

Formed by the productive suffix '-less' meaning 'without', so 'without dimensions' is directly derivable from 'dimension'.

Etymology

Dimensionless comes from dimension, from a word meaning 'measure', plus the ending -less, which means 'without'. So something dimensionless is 'without measure' — it has no units or size.