arctan


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arctan

(ˈɑːkˌtæn) maths
abbreviation for
1. (Mathematics) arctangent: the function the value of which for a given argument is the angle in radians (between -π/2 and π/2) the tangent of which is that argument: the inverse of the tangent function
Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014
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Noun1.arctan - the inverse function of the tangent; the angle that has a tangent equal to a given number
arc tangent, arctangent, inverse tangent
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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[alpha] = [tan.sup.2] (2 arctan [square root of ([tan ([[pi]/2] [[f.sub.1]/[f.sub.0]])/tan ([[pi]/2] [[f.sub.1]/[f.sub.0]]))]) (24)
A tri-band impedance transformer using stubbed coupling line
[f.sub.ap(e,o)2] = [2[f.sub.a0]/[pi]] [[pi] - arctan [square root of (-[B.sub.(e,o)] + [square root of ([B.sup.2.sub.(e,o)] - 4[A.sub.(e,o)][C.sub.(e,o)])]/2[A.sub.(e,o)])]] (4b)
Compact microstrip dual-mode dual-band band-pass filters using stubs loaded coupled line
arctan ([s.sup.4] [cos.sup.4] [theta]/16[r.sup.2][[bar.[lambda]].sup.2]) [approximately equal to] [pi]/2.
Electric dipole antenna: a source of gravitational radiation
[[alpha].sub.3] = arctan [h/z] - arctan [h/[z + l cos [theta]]] (2)
Research on the anti-perspective correction algorithm of QR barcode
[DELTA][[phi].sub.off] < arctan [square root of (2)] x 30[micro]T/2 x 30 mT = 0.04[degrees] (E3)
A theory of magnetic angle sensors with hall plates and without fluxguides
[[DELTA].sub.M_VRL] = [+ or -] [[omega].sub.0]/2Q arctan 2k[V.sub.in]/3.
Investigation on locking and pulling modes in analog frequency dividers
where the branches of the arctan function must be taken appropriately.
A stochastic shape and orientation model for fibres with an application to carbon nanotubes
F(t, x) = 1 + e/4[pi] (5 + sin([k.sup.-1] [omega]t))[[[absolute value of x].sup.4] + ln(1 + [[absolute value of x].sup.4])] arctan [[absolute value of x].sup.4].
On the existence of infinitely many periodic solutions for second-order ordinary p-Laplacian system
arctan x = x - [x.sup.3] / 3 + [x.sup.5] / 5 - [x.sup.7] / 7 ...
A new iterative method to calculate [pi]
One would naturally attempt to solve this by integration by parts, differentiating the "arctan" form and integrating sin(x):
Integration on Computer Algebra Systems
[f.sub.1](x) = x arctan x - 1/2 ln(1 + [x.sup.2]), x [member of] (0,1).
2D Hessian Riemannian manifolds

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