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In mathematics, Bhāskara I's sine approximation formula is a rational expression in one variable for the computation of the approximate values of the trigonometric sines discovered by Bhāskara I (c. 600 – c. 680), a seventh-century Indian mathematician. [1] This formula is given in his treatise titled Mahabhaskariya.
Propagation of uncertainty. In statistics, propagation of uncertainty (or propagation of error) is the effect of variables ' uncertainties (or errors, more specifically random errors) on the uncertainty of a function based on them. When the variables are the values of experimental measurements they have uncertainties due to measurement ...
In bioinformatics, the root mean square deviation of atomic positions is the measure of the average distance between the atoms of superimposed proteins. In structure based drug design, the RMSD is a measure of the difference between a crystal conformation of the ligand conformation and a docking prediction.
Small-angle approximation. Approximately equal behavior of some (trigonometric) functions for x → 0. The small-angle approximations can be used to approximate the values of the main trigonometric functions, provided that the angle in question is small and is measured in radians :
64-bit doubles give 2.220446e-16, which is 2 −52 as expected.. Approximation. The following simple algorithm can be used to approximate [clarification needed] the machine epsilon, to within a factor of two (one order of magnitude) of its true value, using a linear search.
Figure 4 shows the relative errors using the power series. T 0 is the linear approximation, and T 2 to T 10 include respectively the terms up to the 2nd to the 10th powers. Power series solution for the elliptic integral. Another formulation of the above solution can be found if the following Maclaurin series:
Phrases like first approximation or to a first approximation may refer to a roughly approximate value of a quantity. [1] [2] The phrase to a zeroth approximation indicates a wild guess . [3] The expression order of approximation is sometimes informally used to mean the number of significant figures , in increasing order of accuracy, or to the ...