# dimensionless

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## di·men·sion

(dĭ-mĕn′shən, dī-)
n.
1. A measure of spatial extent, especially width, height, or length.
2. often dimensions Extent or magnitude; scope: a problem of alarming dimensions.
3. Aspect; element: "He's a good newsman, and he has that extra dimension" (William S. Paley).
4. Mathematics
a. The least number of independent coordinates required to specify uniquely the points in a space.
b. The range of such a coordinate.
5. Physics A physical property, such as mass, distance, time, or a combination thereof, regarded as a fundamental measure of a physical quantity: Velocity has the dimension of distance divided by time.
6. A realm of existence, as in a work of fiction, that is physically separate from another such realm: "Although it tells a grounded, political story free from aliens and alternate dimensions, the film remains packed to the brim with iconic ... characters." (Conner Schwerdtfeger).
tr.v. di·men·sioned, di·men·sion·ing, di·men·sions
1. To cut or shape to specified dimensions.
2. To mark with specified dimensions.

[Middle English dimensioun, from Latin dīmēnsiō, dīmēnsiōn-, extent, from dīmēnsus, past participle of dīmētīrī, to measure out : dī-, dis-, dis- + mētīrī, to measure; see mē- in Indo-European roots.]

di·men′sion·al′i·ty (-shə-năl′ĭ-tē) n.
References in periodicals archive ?
s] - direction normal to the cylinder surface; Nu - average total Nusselt number; p - pressure, Pa; P - dimensionless pressure; Pr - Prandtl number; Re - Reynolds number; Ri-Richardson number; T - temperature, K; U - dimensionless stream-wise velocity; u-stream-wise velocity, m/s; V - dimensionless cross-stream velocity; v - velocity cross-stream velocity, m/s; X - dimensionless stream-wise coordinate; Y - dimensionless cross-stream coordinate; y- cross-stream coordinate, m.
5 cm, at temperatures of 60, 70 and 80 [degrees]C, in the dimensionless form of the water content (water content ratio) as a function of the drying time; the foams showed initial water content of 72.
Tingyue Gu proposed in 1995 proposed a model based on dimensionless numbers using mass transfer and energy (Tingyue, n.
To compare biomechanical metrics of kinematic data, we calculated intra-excursion variability, principal component analysis (PCA), and dimensionless jerk for the gesture limb.
int] is the internal pressure, D is the outer pipe diameter, 5 is the pipe wall thickness, a is the corresponding crack length and Y(a/s) is dimensionless geometric function describing change of the stress intensity factor with change of the crack geometry.
LB] represents the dimensionless relaxation time, [G.
Its main performance characteristics are studied systematically using a dimensionless method [13-15] based on boost pressure ratio, flow rate, pressure fluctuation, and energy efficiency, the results from which provide the basis for booster-valve optimisation.
The founding of the analytical expression for fundamental dimensionless constant was a dream of a physical science for many years.
a, b Fuel and electric prices, respectively, \$/Btu, \$/kW-h (Convert IP unit of Btu to kW-h first) B Base load factor, dimensionless CF Natural survival rate factor of a given tree type, dimensionless CHPH[eta], CHPE[eta] Partial heat and power generation efficiencies of the CHP, respectively, dimensionless C[O.
where [delta]--logarithmic dimensionless decrement of oscillations; [[omega].

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