Definition, Meaning & Synonyms | English word DIMENSIONLESS

---

Definitions of DIMENSIONLESS

1. Lacking dimensions.
2. (science) Of a physical constant: lacking units.

---

---

---

---

---

---

---

---

---

Examples of Using DIMENSIONLESS in a Sentence

• Eccentricity vector, in celestial mechanics, a dimensionless vector with direction pointing from apoapsis to periapsis.
• The erlang (symbol E) is a dimensionless unit that is used in telephony as a measure of offered load or carried load on service-providing elements such as telephone circuits or telephone switching equipment.
• He contributed extensively to fluid dynamics, with concepts such as the Rayleigh number (a dimensionless number associated with natural convection), Rayleigh flow, the Rayleigh–Taylor instability, and Rayleigh's criterion for the stability of Taylor–Couette flow.
• Physical constants can take many dimensional forms: the speed of light signifies a maximum speed for any object and its dimension is length divided by time; while the proton-to-electron mass ratio, is dimensionless.
• It is usually measured in g/L or g/kg (grams of salt per liter/kilogram of water; the latter is dimensionless and equal to ‰).
• The decibel (dB) is a dimensionless unit, used for quantifying the ratio between two values, such as signal-to-noise ratio.
• In optics, the numerical aperture (NA) of an optical system is a dimensionless number that characterizes the range of angles over which the system can accept or emit light.
• In radio frequency (RF) practice this is often measured in a dimensionless ratio known as voltage standing wave ratio (VSWR) with a VSWR bridge.
• A statement of this theorem is that any physical law can be expressed as an identity involving only dimensionless combinations (ratios or products) of the variables linked by the law (for example, pressure and volume are linked by Boyle's law – they are inversely proportional).
• In dimensional analysis, the Strouhal number (St, or sometimes Sr to avoid the conflict with the Stanton number) is a dimensionless number describing oscillating flow mechanisms.
• The Rayleigh number, shown below, is a dimensionless number that characterizes convection problems in heat transfer.
• Duff argues that only dimensionless values have physical meaning and all dimensional units are human constructs.
• A percentage is a dimensionless number (pure number), primarily used for expressing proportions, but percent is nonetheless a unit of measurement in its orthography and usage.
• Dean number, a dimensionless group in fluid mechanics, which occurs in the study of flow in curved pipes and channels.
• The Deborah number (De) is a dimensionless number, often used in rheology to characterize the fluidity of materials under specific flow conditions.
• A more specific definition adopted in physical sciences (especially in metrology) for ratio is the dimensionless quotient between two physical quantities measured with the same unit.
• Parts-per notations are all dimensionless quantities: in mathematical expressions, the units of measurement always cancel.
• The onset of turbulence can be predicted by the dimensionless Reynolds number, the ratio of kinetic energy to viscous damping in a fluid flow.
• The dimensionless longitudinal momentum loss of a beam particle after a two-body interaction in accelerator physics.
• The f-number is dimensionless and is usually expressed using a lower-case hooked f with the format N, where N is the f-number.

Page preparation took: 2,510.04 ms.