The inverse of arcsinp on [0, πp/2] is called the generalized sine function and denoted by sinp .
Inequalities for the generalized trigonometric and hyperbolic functions
The inverse of arcsinhp is called the generalized hyperbolic sine function and denoted by sinhp .
Inequalities for the generalized trigonometric and hyperbolic functions
It can also be seen that the sine-Gordon theory has soliton solutions of the classical equations of motion corresponding in the quantum theory to particles with a mass proportional to the square of the inverse of the sine-Gordon coupling constant β .
A unique theory of all forces
For ydz in the case of W (z ) 6= 0 see , in the z qu − z − 1 inverse limit of pure gauge theory ydz = dz z becomes the sine-Gordon presymplectic form .
Matrix Model Conjecture for Exact BS Periods and Nekrasov Functions
The sine of the width of the annulus (sin δθ) is proportional to the accuracy of the time difference measurements and inversely proportional to the distance D .
Statistical Analysis of the Observable Data of Gamma-Ray Bursts
In this paper, we present monotonicity results of a function involving to the inverse hyperbolic sine.
Monotonicity results and bounds for the inverse hyperbolic sine
From these, we derive some inequalities for bounding the inverse hyperbolic sine.
Monotonicity results and bounds for the inverse hyperbolic sine
Key words and phrases. bound, inverse hyperbolic sine, monotonicity, minimum.
Monotonicity results and bounds for the inverse hyperbolic sine
To derive the inverse statement, we need to apply the sine rule and some trigonometry.
Bodies invisible from one point
In ref. the one-loop three-mass triangle was expressed in region I, to all orders in ǫ in terms of log-sine integrals, while in ref. the same function was expressed up to O(ǫ2 ) in region II in terms of complicated iterated integrals whose kernels involve inverse square roots of the K¨allen function.
Three-mass triangle integrals and single-valued polylogarithms
The integral deﬁning J can then be computed by constructing two series whose coeﬃcients are the residues at the right poles of the two inverse-sines.
The (BFKL) Pomeron-virtual photon-photon vertex for any conformal spin
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