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...| system of measurement]], because ''β'' is a [[w:dimensionless quantity |dimensionless quantity]]: ...the [[Physics/Essays/Fedosin/Stoney scale|Stoney scale]]. Therefore, this dimensionless constant could be named as the '''Stoney scale dynamic force constant''' ( ...

...tant]] characterizing the strength of electromagnetic interaction. Being a dimensionless quantity, it has constant numerical value in all systems of units. [[w:Arno ...k''_e, or the permittivity factor, 4π''ε''₀, is 1 and dimensionless. Then the expression of the fine structure constant becomes the abbreviated ...

Both sides are dimensionless. Function <math>g</math> is different than <math>f</math> but it Dimensional analysis (DA) helps us to formulate dimensionless forms of governing equations and simplify them by the determination insigni ...

Both sides are dimensionless. Function <math>g</math> is different than <math>f</math> but it Dimensional analysis (DA) helps us to formulate dimensionless forms of governing equations and simplify them by the determination insigni ...

...ented by a matrix of 3&nbsp;×&nbsp;3&nbsp;×&nbsp;3&nbsp;×&nbsp;3 = 81 real numbers {{math|''c_ijkl''}}. Hooke's law then says that ...onding to the stress scalar. The unit vector is [[w:Dimensionless quantity|dimensionless]]. ...

The Graetz number is a dimensionless number which greatly aids in comparing these equations. By plotting each <m ...endence. This means that the equations must be plotted for varying Prandtl numbers, with only Eqn.B varying between plots. This leads me to believe that the n ...

|Number of Wave Cycles || <math> N \,\!</math> || dimensionless || dimensionless || dimensionless ...

...the text posits that by using dimensionless geometrical objects instead of numbers and units (a numbering system and a system of units), self-aware structures ...e [[v:Electron (mathematical)|mathematical electron]]. The sum universe is dimensionless. ...

...matter in proton, <math>~A</math> and <math>~Z</math> are mass and charge numbers of the star, found from correspondence between stars and chemical elements == Dimensionless constants == ...

...trends in physical quantities and [[w:Dimensionless quantity|dimensionless numbers]] are monitored as a function of decreasing length scales in microflows. Th ...rder to find out the influence of the miniaturization on the dimensionless numbers, the velocity should be treated depending on the constraints. It is easier ...

...is would then question their status as being fundamental. Note: (α, Ω) are dimensionless constants, (''r'', ''v'') are system dependent dimensioned scalar variables This f(X) embeds the units ''kg'', ''m'', ''s'' but itself is dimensionless, units = 1 (i.e.: it is a mathematical structure). ...

...22 March 2018 | doi=10.1140/epjp/i2018-12094-x }}</ref>, the electron is a dimensionless geometrical formula (ψ). This formula, which resembles the volume of a toru ...(the fine structure constant and a mathematical constant Omega). Although dimensionless, the function of the Planck unit is embedded within the geometry; the geome ...

...ced mathematics with numbers that have dimensions is best done by creating dimensionless variables, and this is especially true when analyzing approximations. A h ...ws us why the big-O approach got into trouble. There are really two small dimensionless parameters lurking in this problem, and we can distinguish between them wit ...

...g|right|thumb|320px|Diagram of decreasing apertures, that is, increasing f-numbers, in one-stop increments; each aperture has half the light gathering area of ...e following pairs of focal lengths and lens diameters, what would be the f-numbers? ...

...the unit, whereas for numerical based constants, the numerical values are dimensionless frequencies of the [[w:SI units |SI unit]] (kg, m, s, A), 3kg refers to 3 o ...rical objects from the geometry of 2 [[w:dimensionless physical constant | dimensionless physical constants]], the (inverse) [[w:fine-structure constant | fine stru ...

The units of strain are dimensionless. However, people often write strain in they don't have to deal with tiny numbers. ...

==Quantum Numbers== Quantum numbers are occur in the description of quantum states. There is one related to qua ...

:2. The sum universe is dimensionless (simply data on a celestial hard disk). ...ribing nature?’, ‘in which sense, if any, do mathematical entities such as numbers exist?’ and ‘why and how are mathematical statements true?’ This reasoning ...

...can judge the dominance of inertial effects to viscous effects by using a dimensionless number, namely Reynolds number: ...has time to relax (and behaves in a viscous manner), while '''high Deborah numbers''' correspond to situations where the material behaves rather elastically. ...