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The constants are probably values which were rounded by Colebrook during his curve fitting; but they are effectively treated as exact when comparing (to several decimal places) results from explicit formulae (such as those found elsewhere in this article) to the friction factor computed via Colebrook's implicit equation.
The progression of thicknesses is clear in column 3 (U.S. standard for sheet and plate iron and steel 64ths inch (delta)). The thicknesses vary first by 1 ⁄ 32 inch in higher thicknesses and then step down to increments of 1 ⁄ 64 inch, then 1 ⁄ 128 inch, with the final increments at decimal fractions of 1 ⁄ 64 inch.
1 square inch (assuming an international inch) is equal to: (the overbars indicate repeating decimals) 0.006 9 4 square feet (1 square foot is equal to 144 square inches) 0.000 7 71 604 9382 square yards (1 square yard is equal to 1,296 square inches) 6.4516 square centimetres (1 square centimetre is equal to 0.155 000 310... square inches)
There is a sequence of six nines in pi beginning at the 762nd decimal place of its decimal representation. For a randomly chosen normal number , the probability of a particular sequence of six consecutive digits—of any type, not just a repeating one—to appear this early is 0.08%. [ 7 ]
AHP stands for analytic hierarchy process – a multi-criteria decision-making (MCDM) method. In AHP, values like price, weight, or area, or even subjective opinions such as feelings, preferences, or satisfaction, can be translated into measurable numeric relations.
Recalling that Moser showed [2] that indeed m > 10 9, and then invoking Legendre's theorem on continued fractions, finally proves that 2k / (2m – 3) must be a convergent to ln(2). Leveraging this result, 31 billion decimal digits of ln(2) can be used to exclude any nontrivial solutions below 10 10 9 .
In fluid dynamics, the Darcy–Weisbach equation is an empirical equation that relates the head loss, or pressure loss, due to friction along a given length of pipe to the average velocity of the fluid flow for an incompressible fluid.
By weighing some fraction of the products an average weight can be found, which will always be slightly different from the long-term average. By using standard deviations, a minimum and maximum value can be calculated that the averaged weight will be within some very high percentage of the time (99.9% or more).