arc sine

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arc sine

[¦ärk ¦sīn]
(mathematics)
Also known as antisine; inverse sine.
For a number x, any angle whose sine equals x.
For a number x, the angle between -π/2 radians and π/2 radians whose sine equals x ; it is the value at x of the inverse of the restriction of the sine function to the interval between -π/2 and π/2.
References in periodicals archive ?
The method of Hurwitz-Radon Matrices (MHR) enables interpolation of two-dimensional curves using different coefficients [gamma]: polynomial, sinusoidal, cosinusoidal, tangent, cotangent, logarithmic, exponential, arcsin, arccos, arctan, arcctg or power function [16], also inverse functions.
A 2 (conditions) x 5 (periods) ANOVA of an arcsin transformation of the false alarm scores revealed that false alarms were significantly more frequent in the modified vigil condition (M = 15.
The conditions (II/Ill) ANOVA, calculated on arcsin conversions of proportional errors (see scoring) showed no significant difference between the two conditions.
Fruit Set refers to Arcsin ([square root of] (proportion of flowers that became fruit)).
and the real part is approximated accordingly, noting that arcsin (1) [Pi] / 2.
135 per cent than the control chart based on the arcsin transformation.
The arcsin function was applied to the rescaled scores.
New built-in functions - ARCSIN, ARCCOS and NormalCDF have been added to the list of available built-in functions.
When comparing the proportions of patients in the 4 groups that were effectively treated or improved we used a Tukey-type multiple comparison method based on an arcsin transformation of the original proportions.
The arcsin [square root of x] transformation was used to normalize the fraction of cells in the S phase, fraction of cells in the G2/M phases, and RSG1.
We used arcsin transformations of proportional data (relative cover of vegetational components and proportion of introduced species) to improve their approximation to a normal distribution and to equalize variances.