arcsin

(ˈɑːkˌsaɪn) maths

abbreviation for

1. (Mathematics) arcsine: the function the value of which for a given argument between -1 and 1 is the angle in radians (between -π/2 and π/2), the sine of which is that argument: the inverse of the sine function

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Noun

arcsin - the inverse function of the sine; the angle that has a sine equal to a given number

arc sine, arcsine, inverse sine

circular function, trigonometric function - function of an angle expressed as a ratio of the length of the sides of right-angled triangle containing the angle

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References in periodicals archive

(2012) used an arcsin transformation if percent coverage data sets were not normal.

SEAGRASS MONITORING IN SAN ANTONIO BAY, TEXAS WITH IMPLICATIONS FOR MANAGEMENT

[[??].sup.ref.sub.k] = arcsin ([angle][[PHI].sub.c]].sub.k,k]/4[pi]d/[lambda]), k = 1, ..., K.

Mixed Far-Field and Near-Field Source Localization Algorithm via Sparse Subarrays

Data were transformed to arcsin [square root of (x/100)] for statistical analysis (Taylor, 1984).

Phytophagy of the predator Podisus nigrispinus (Dallas, 1851) (Hemiptera: Pentatomidae) fed on prey and Brassicaceae/Fitofagia do predador Podisus nigrispinus (Dallas, 1851) (Hemiptera: Pentatomidae) em diferentes brassicaceas

Y = sgn(y) [square root of [x.sup.2] + [y.sup.2]]/[square root of 2[pi]] ([pi]/2 - arcsin [x.sup.2] - [y.sup.2]/[x.sup.2] + [y.sup.2]).

Two Area Preserving Maps from the Square to the p-Ball

[alpha] [less than or equal to] 90[degrees] - arcsin ([n.sub.2]/[n.sub.1]) = 90[degrees] - arcsin (1.46/1.49) = 90[degrees] - 78[degrees] = 12[degrees] (11)

The New Tapered Fiber Connector and the Test of Its Error Rate and Coupling Characteristics

[alpha] = [2/[pi]] arcsin ([7/128] [[square root of 207] + [square root of 15]]) (21)

Sufficient Condition for Strongly Starlikeness of Normalized Mittag-Leffler Function

Dendrogram was performed on the basis of arcsin transformed percentage relative frequency (%O) and consumed biomass (%B) data of 10 main food types (same food types as listed above, except pheasant and other birds were merged).

Diet composition of the golden jackal and the sympatric red fox in an agricultural area (Hungary)

[alpha] = arcsin h/R = arcsin 2gh/[g.sup.2] + [h.sup.2].

Investigation of the electric field of metallic fence under a high voltage transmission line

(1.3) [q.summation over (j=1)] ([[alpha].sub.k+1] - [[beta].sub.j]) < 4/[sigma] arcsin [square root of ([delta]/2)],

Entire functions sharing one finite value with their derivatives in some angular domains

Therefore, we also transformed the original data using arcsin, a process typical for percentage data (Sokal and Rolf, 1981), and analyzed them, using a paired t-test in addition to a related-samples Wilcoxon signed-rank test.

No effects and no control of epibionts in two species of temperate pycnogonids

c) If L is quasismooth (in the sense of Lavrentiev), that is, for every pair [z.sub.1], [z.sub.2] [member of] L, if s([z.sub.1], [z.sub.2]) represents the smallest of the lengths of the arcs joining [z.sub.1] to [z.sub.2] on L, there exists a constant c > 1 such that s([z.sub.1], [z.sub.2]) [less than or equal to] c [absolute value of ([z.sub.1] - [z.sub.2])], then [PHI] [member of] Lip [alpha] for [alpha] = [1/2][(1 - [1/[pi]] arcsin [1/c]).sup.-1] and [PSI] [member of] Lip [beta] for [beta] = [2/[(1 + c).sup.2]] [26], [27].

Uniform and pointwise Bernstein-Walsh-type inequalities on a quasidisk in the complex plane

Analysis of variance was used for all statistical comparisons (PROC GLM, SAS Institute, 2013) and proportions were arcsin, square root transformed prior to analysis.

The effect of food source on survival and development of Lilioceris cheni (Coleoptera: Chrysomelidae), a biological control agent of air potato (Dioscoreales: Dioscoreaceae)