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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 ...
This is an accepted version of this page This is the latest accepted revision, reviewed on 27 September 2024. Observation that in many real-life datasets, the leading digit is likely to be small Not to be confused with the unrelated adage Benford's law of controversy. The distribution of first digits, according to Benford's law. Each bar represents a digit, and the height of the bar is the ...
Condition numbers can also be defined for nonlinear functions, and can be computed using calculus.The condition number varies with the point; in some cases one can use the maximum (or supremum) condition number over the domain of the function or domain of the question as an overall condition number, while in other cases the condition number at a particular point is of more interest.
A variant of the 3-satisfiability problem is the one-in-three 3-SAT (also known variously as 1-in-3-SAT and exactly-1 3-SAT). Given a conjunctive normal form with three literals per clause, the problem is to determine whether there exists a truth assignment to the variables so that each clause has exactly one TRUE literal (and thus exactly two ...
Sergey Bubka's 1993 pole vault world indoor record of 6.15 m was not considered to be a world record, because it was set before the new rule came into effect. Bubka's world record of 6.14 m, set outdoors in 1994, was surpassed by six consecutive records set indoors, most recently by Armand Duplantis in 2023 with a 6.22 m mark. In 2020 ...
The following tables shows the world record progression in the Men's 3000 metres. The International Amateur Athletics Federation, now known as the International Association of Athletics Federations, ratified its first world record in the event in 1912. To June 21, 2009, 26 world records have been ratified by the IAAF in the event. [1]
Records 1912–1976. The first manual time of 9.9 seconds was recorded for Bob Hayes in the final of the 100 metres at the 1964 Olympics. Hayes' official time of 10.0 seconds was determined by rounding down the electronic time of 10.06 to the nearest tenth of a second, giving the appearance of a manual time.
The detailed semantics of "the" ternary operator as well as its syntax differs significantly from language to language. A top level distinction from one language to another is whether the expressions permit side effects (as in most procedural languages) and whether the language provides short-circuit evaluation semantics, whereby only the selected expression is evaluated (most standard ...