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If more than one formula is applicable in the flow regime under consideration, the choice of formula may be influenced by one or more of the following: Required accuracy; Speed of computation required; Available computational technology: calculator (minimize keystrokes) spreadsheet (single-cell formula) programming/scripting language (subroutine).
A mathematical coincidence is said to occur when two expressions with no direct relationship show a near-equality which has no apparent theoretical explanation.. For example, there is a near-equality close to the round number 1000 between powers of 2 and powers of 10:
Most charts or tables indicate the type of friction factor, or at least provide the formula for the friction factor with laminar flow. If the formula for laminar flow is f = 16 / Re , it is the Fanning factor f, and if the formula for laminar flow is f D = 64 / Re , it is the Darcy–Weisbach factor f D.
A number of bounds and formulas for n(d) have been published. [10] For any d ≥ 1, the number n(d) satisfies [11] ...
Alternatively, consider the rearrangement of the speed of light formula =. If the relation v 2 / c 2 << 1 {\displaystyle {v^{2}}/{c^{2}}<<1} is true (if the velocity of the aether is small relative to the speed of light), then the expression can be simplified using a first order binomial expansion;
The base "Roman fraction" is S, indicating 1 ⁄ 2. The use of S (as in VIIS to indicate 7 1 ⁄ 2) is attested in some ancient inscriptions [45] and also in the now rare apothecaries' system (usually in the form SS): [44] but while Roman numerals for whole numbers are essentially decimal, S does not correspond to 5 ⁄ 10, as one might expect ...
Microsoft Excel 2003 XML XML Spreadsheet Yes Yes Microsoft Excel 4/5/95 XLS, XLW, XLT Spreadsheet Yes Up to 3.6 [80] Microsoft Excel 97–2003 XLS, XLW, XLT Spreadsheet Yes Yes Microsoft Excel 2007-2021 XLSX Spreadsheet Yes Yes Microsoft Excel Web Query File IQY Data sources, text From 5.4 [81] Microsoft Office 2007-2021 Office Open XML: DOCX ...
The California Job Case was a compartmentalized box for printing in the 19th century, sizes corresponding to the commonality of letters. The frequency of letters in text has been studied for use in cryptanalysis, and frequency analysis in particular, dating back to the Arab mathematician al-Kindi (c. AD 801–873 ), who formally developed the method (the ciphers breakable by this technique go ...