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  2. Numeric precision in Microsoft Excel - Wikipedia

    en.wikipedia.org/wiki/Numeric_precision_in...

    Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...

  3. Nondimensionalization - Wikipedia

    en.wikipedia.org/wiki/Nondimensionalization

    To scale these two variables, assume there are two intrinsic units of measurement x c and t c with the same units as x and t respectively, such that these conditions hold: = = = =. These equations are used to replace x and t when nondimensionalizing.

  4. List of dimensionless quantities - Wikipedia

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

    Chemical engineering, material science, mechanics (A scale to show the energy needed for detaching two solid particles) [13] [14] Cost of transport: COT = energy efficiency, economics (ratio of energy input to kinetic motion) Damping ratio

  5. 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.

  6. Scale analysis (statistics) - Wikipedia

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

    In statistics, scale analysis is a set of methods to analyze survey data, in which responses to questions are combined to measure a latent variable. These items can ...

  7. 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 ...

  8. 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 ...

  9. Non-dimensionalization and scaling of the Navier–Stokes ...

    en.wikipedia.org/wiki/Non-dimensionalization_and...

    This technique can ease the analysis of the problem at hand, and reduce the number of free parameters. Small or large sizes of certain dimensionless parameters indicate the importance of certain terms in the equations for the studied flow. This may provide possibilities to neglect terms in (certain areas of) the considered flow.

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    unitless scale analysis in excel worksheet 1 free body or force diagramsdata analysis in excel