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The inverse second or reciprocal second (s −1), also called per second, is a unit defined as the multiplicative inverse of the second (a unit of time). It is applicable for physical quantities of dimension reciprocal time , such as frequency and strain rate .
Spatial frequency is a reciprocal length, which can thus be used as a measure of energy, usually of a particle. For example, the reciprocal centimetre, cm −1, is an energy unit equal to the energy of a photon with a wavelength of 1 cm. That energy amounts to approximately 1.24 × 10 −4 eV or 1.986 × 10 −23 J.
The decimetre (SI symbol: dm) is a unit of length in the metric system equal to 10 −1 metres ( 1 / 10 m = 0.1 m). To help compare different orders of magnitude , this section lists lengths between 10 centimeters and 100 centimeters (10 −1 meter and 1 meter).
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The solar flux unit is a unit of spectral irradiance equal to 10 −22 W⋅m −2 ⋅Hz −1 (100 yW⋅m −2 ⋅Hz −1). The nox (nx) is a unit of illuminance equal to 1 millilux ( 1 mlx ). The nit (nt) is a unit of luminance equal to one candela per metre squared ( 1 cd⋅m −2 ).
If is a reflexive Banach space then this conclusion is also true when = [2]. Metric reformulation. As usual, let (,):= ‖ ‖ denote the canonical metric induced by the norm, call the set {: ‖ ‖ =} of all vectors that are a distance of from the origin the unit sphere, and denote the distance from a point to the set by (,) := (,) = ‖ ‖.
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