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  2. Digamma function - Wikipedia

    en.wikipedia.org/wiki/Digamma_function

    Beal [28] suggests using the above recurrence to shift x to a value greater than 6 and then applying the above expansion with terms above x 14 cut off, which yields "more than enough precision" (at least 12 digits except near the zeroes). As x goes to infinity, ψ(x) gets arbitrarily close to both ln(x − ⁠ 1 / 2 ⁠) and ln x.

  3. Orders of magnitude (pressure) - Wikipedia

    en.wikipedia.org/wiki/Orders_of_magnitude_(pressure)

    0.8–2 MPa 120–290 psi Pressure used in boilers of steam locomotives [citation needed] 1.1 MPa 162 psi Pressure of an average human bite [citation needed] 2.8–8.3 MPa 400–1,200 psi Pressure of carbon dioxide propellant in a paintball gun [64] 5 MPa 700 psi Water pressure of the output of a coin-operated car wash spray nozzle [58] 5 MPa ...

  4. Pressure coefficient - Wikipedia

    en.wikipedia.org/wiki/Pressure_coefficient

    This assumption is commonly made in engineering practice when the Mach number is less than about 0.3. C p {\displaystyle C_{p}} of zero indicates the pressure is the same as the freestream pressure. C p {\displaystyle C_{p}} of one corresponds to the stagnation pressure and indicates a stagnation point .

  5. Buchholz psi functions - Wikipedia

    en.wikipedia.org/wiki/Buchholz_psi_functions

    Ω ξ = ω ξ if ξ > 0, Ω 0 = 1; The functions ψ v (α) for α an ordinal, v an ordinal at most ω, are defined by induction on α as follows: ψ v (α) is the smallest ordinal not in C v (α) where C v (α) is the smallest set such that C v (α) contains all ordinals less than Ω v; C v (α) is closed under ordinal addition

  6. Polygamma function - Wikipedia

    en.wikipedia.org/wiki/Polygamma_function

    This expresses the polygamma function as the Laplace transform of ⁠ (−1) m+1 t m / 1 − e −t ⁠. It follows from Bernstein's theorem on monotone functions that, for m > 0 and x real and non-negative, (−1) m+1 ψ (m) (x) is a completely monotone function. Setting m = 0 in the

  7. Flow coefficient - Wikipedia

    en.wikipedia.org/wiki/Flow_coefficient

    With C v = 1.0 and 200 psia inlet pressure, the flow is 100 standard cubic feet per minute (scfm). The flow is proportional to the absolute inlet pressure, so the flow in scfm would equal the C v flow coefficient if the inlet pressure were reduced to 2 psia and the outlet were connected to a vacuum with less than 1 psi absolute pressure (1.0 ...

  8. Barlow's formula - Wikipedia

    en.wikipedia.org/wiki/Barlow's_formula

    0.60 3 Any location that has 46 or more buildings intended for human occupancy or any area where the pipeline lies within 100 yards (91 meters) of a building or a small, well-defined outdoor area (such as a playground, recreation area, outdoor theater, or place of public assembly) that is occupied by 20 or more persons at least five days a week ...

  9. Damping - Wikipedia

    en.wikipedia.org/wiki/Damping

    Underdamped spring–mass system with ζ < 1. In physical systems, damping is the loss of energy of an oscillating system by dissipation. [1] [2] Damping is an influence within or upon an oscillatory system that has the effect of reducing or preventing its oscillation. [3]

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    excel formula if greater than 0 then 0 psi is 5 mm and 2 c is added to one