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...cate a greater resistance to indentation and thus harder materials. Lower numbers indicate less resistance and softer materials. Durometer is a dimensionless quantity, and there is no simple relationship between a material's duromete ...

...es.png|thumb|Single electron orbitals for hydrogen-like atoms with quantum numbers {{math|1=''n'' = 1, 2, 3}} (blocks), {{mvar|{{ell}}}} (rows) and {{mvar|m}} ...re quantities that characterize the possible states of the system. Quantum numbers are closely related to [[eigenvalues]] of [[Observable|observables]]. When ...

* Real numbers, such as 1 or {{radic|2}}, * i, the [[imaginary numbers|imaginary]] unit, ...

[[Category:Dimensionless numbers]] ...

...stant|Vacuum permeability|the ordinal number ε₀|Epsilon numbers (mathematics)}} ...ermeability]] which in turn is determined by the experimentally determined dimensionless [[fine-structure constant]] ''α'': ...

| Dimensionless ...ction force]] ''R'' at a point of contact between two interfaces through a dimensionless coefficient of friction ''μ''_f, which depends on the pair of mat ...

*<math>C_D</math> is the [[drag coefficient]] – a [[dimensionless number]]. ...of the speed at low Reynolds numbers and as the cube of the speed at high numbers. ...

To simplify the mathematics, we define a [[dimensionless quantity|nondimensionalized]] power for intermediate calculations, <math>\s ...t can be determined by adding the three phase currents together as complex numbers and then converting from rectangular to polar co-ordinates. If the three-ph ...

...</math>. In sum, the state of the electron is characterized by the quantum numbers, {{mvar|n}}, {{math|''k_y''}} and {{math|''k_z''}}. In terms of dimensionless lengths and energies, the Hamiltonian can be expressed as ...

...ngth]] or [[flux density]]. The propagation constant itself measures the [[dimensionless]] change in magnitude or phase [[per unit length]]. In the context of [[Two where <math>m,n \ge 0</math> are the mode numbers for the rectangle's sides of length <math>a</math> and <math>b</math> respe ...

...ne|''y''}}(''λ''), also known as ''V''(''λ''), is the luminosity function, dimensionless; ...e="candela" group=cie/> This arbitrary number made the new definition give numbers equivalent to those from the old definition of the candela. ...

{{Short description|Dimensionless number that quantifies the strength of the electromagnetic interaction}} ...monly denoted by {{mvar|α}} (the [[Alpha|Greek letter ''alpha'']]), is a [[Dimensionless physical constant|fundamental physical constant]] which quantifies the stre ...

...e probabilities, which equals the sum of the [[Square (algebra)#In complex numbers|absolute squares]] of the probability amplitudes, must equal 1. This is the ...on the set {{math| '''R'''}} of all [[real number]]s). As probability is a dimensionless quantity, {{math|{{abs|''&psi;''(''x'')}}²}} must have the inver ...

...it explains why the universe has the [[age of the universe|age]] and the [[dimensionless physical constant|fundamental physical constant]]s necessary to accommodate ...ics and the age of the universe, a coincidence that inspired [[Dirac large numbers hypothesis|Dirac's varying-''G'' theory]]. ...

...or]]) that can be represented by a [[matrix (mathematics)|matrix]] of real numbers. ...''('''X'''₁) + ''β'''κ'''''('''X'''₂)}} for any real numbers {{mvar|α}}, {{mvar|β}} and any displacement vectors {{math|'''X'''<sub>1</s ...

...onal to the [[Planck constant]]. In practice, spin is usually given as a [[dimensionless]] spin quantum number by dividing the spin angular momentum by the [[reduce ..." or "half-integer" spin models as discussed in [[#Quantum numbers|quantum numbers]] below. ...

...rical load|load]] to the apparent power flowing in the circuit, and is a [[dimensionless number]] in the [[closed interval]] of −1 to 1. ...n constant itself measures the change per unit length, but it is otherwise dimensionless. In the context of two-port networks and their cascades, propagation consta ...

...temperature divided by the Debye temperature. Note that, as expected, the dimensionless heat capacity is zero at absolute zero, and rises to a value of three as th ...ubstances closely follows the ratios of their molar volumes (the ratios of numbers of atoms in the same volume of each substance); the departure from the corr ...