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  2. Nondimensionalization - Wikipedia

    en.wikipedia.org/wiki/Nondimensionalization

    The factor 2 is present so that the solutions can be parameterized in terms of ζ. In the context of mechanical or electrical systems, ζ is known as the damping ratio , and is an important parameter required in the analysis of control systems . 2 ζ is also known as the linewidth of the system.

  3. Scale analysis (statistics) - Wikipedia

    en.wikipedia.org/wiki/Scale_analysis_(statistics)

    The item-total correlation approach is a way of identifying a group of questions whose responses can be combined into a single measure or scale. This is a simple approach that works by ensuring that, when considered across a whole population, responses to the questions in the group tend to vary together and, in particular, that responses to no individual question are poorly related to an ...

  4. Dimensionless quantity - Wikipedia

    en.wikipedia.org/wiki/Dimensionless_quantity

    Dimensionless quantities, or quantities of dimension one, [1] are quantities implicitly defined in a manner that prevents their aggregation into units of measurement. [2] [3] Typically expressed as ratios that align with another system, these quantities do not necessitate explicitly defined units.

  5. List of dimensionless quantities - Wikipedia

    en.wikipedia.org/wiki/List_of_dimensionless...

    electrochemistry (ratio of kinetic polarization resistance to solution ohmic resistance in an electrochemical cell) [4] Weaver flame speed number: Wea = combustion (laminar burning velocity relative to hydrogen gas) [5]

  6. List of physical quantities - Wikipedia

    en.wikipedia.org/wiki/List_of_physical_quantities

    siemens (S = Ω −1) L −2 M −1 T 3 I 2: scalar Electrical conductivity: σ: Measure of a material's ability to conduct an electric current S/m L −3 M −1 T 3 I 2: scalar Electric potential: φ: Energy required to move a unit charge through an electric field from a reference point volt (V = J/C) L 2 M T −3 I −1: extensive, scalar ...

  7. Scale analysis (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Scale_analysis_(mathematics)

    In synoptic scale we can expect horizontal velocities about U = 10 1 m.s −1 and vertical about W = 10 −2 m.s −1. Horizontal scale is L = 10 6 m and vertical scale is H = 10 4 m. Typical time scale is T = L/U = 10 5 s. Pressure differences in troposphere are ΔP = 10 4 Pa and density of air ρ = 10 0 kg⋅m −3. Other physical properties ...

  8. Dimensionless physical constant - Wikipedia

    en.wikipedia.org/wiki/Dimensionless_physical...

    Most notably, in a 1929 paper he set out an argument based on the Pauli exclusion principle and the Dirac equation that fixed the value of the reciprocal of the fine-structure constant as 𝛼 −1 = 16 + ⁠ 1 / 2 ⁠ × 16 × (16–1) = 136. When its value was discovered to be closer to 137, he changed his argument to match that value.

  9. Multiple-scale analysis - Wikipedia

    en.wikipedia.org/wiki/Multiple-scale_analysis

    In mathematics and physics, multiple-scale analysis (also called the method of multiple scales) comprises techniques used to construct uniformly valid approximations to the solutions of perturbation problems, both for small as well as large values of the independent variables. This is done by introducing fast-scale and slow-scale variables for ...