significant digits


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significant digits

The digits in a number that have actual value. For example, in the number 00005208, the 5-2-0-8 are the significant digits.
References in periodicals archive ?
The reduction in the probabilities of occurrence of the digits 1 to 9 as first significant digits was initially obtained by Beford (1938), and widely used and perfected by Hill (1995).
According to the formula of VT and F, SD11 can deal with the floating-point division algorithm that involves original input of 455 MSD significant digits in binary and the quotient.
The use of the polynomial of a higher order than sixth and the inclusion of more significant digits of the polynomial coefficients reduces the sum of error squares only slightly.
We assumed that a minor deviation in each input parameter, in terms of its significant digits approximation, could contribute some effects on the simulation outcome that could possibly explain the discrepancy between the simulated results and Philip's semianalytical solution (Figure 1).
10 Note (4) 6 $0 Note (1): Interest rates are shown at several significant digits in order to show the reader comparisons between different calculation methods.
And rather than presenting unstable numerical least significant digits, the instrument can display a real-time histogram to present an instant statistical analysis of measured data, allowing you to check mean and standard deviation and compare accumulated data with instantaneous numeric data.
Decimal dust, significant digits, and the search for stars.
Pinkham (1961) employed the scale invariance argument to claim that if there is indeed any universal law for significant digits, then it should be independent of the units and scales used by society, because scales are cultural, arbitrary, and do not represent any fundamental properties of numbers or nature.
The west, too, had equally dedicated zealots; Rheticus, who was mentored by Copernicus, along with a team of four others, in a labor of twelve years, generated 388,800 entries of tables for the six standard trigonometric functions to fifteen significant digits in the last seven hundred pages of his Opus Palatinum.
In fact, any software which keeps track of enough significant digits can be utilized.
Though there are already other studies reporting higher precision values, up to 12 significant digits [17], for example, we will not employ them here for we do not need such precision as our method gives numbers up to the 6th significant digit.

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