gives the inverse haversine function .
- Mathematical function, suitable for both symbolic and numerical manipulation.
- The inverse haversine function is defined by .
- All results are given in radians.
- For real between and , the results are always in the range to .
- InverseHaversine[z] has branch cut discontinuities in the complex plane running from to and to .
- InverseHaversine can be evaluated to arbitrary numerical precision.
- InverseHaversine automatically threads over lists.
Examplesopen allclose all
Basic Examples (5)
Numerical Evaluation (5)
InverseHaversine threads elementwise over lists and matrices:
Specific Values (3)
Function Properties (10)
InverseHaversine is defined for all real values from the interval [0,1]:
InverseHaversine is defined for all complex values:
InverseHaversine is not an analytic function:
InverseHaversine is non-decreasing over its real domain:
InverseHaversine is injective:
InverseHaversine is not surjective:
InverseHaversine is non-negative over its real domain:
InverseHaversine does have both singularity and discontinuity in (-∞,0] and [1,∞):
InverseHaversine is neither convex nor concave:
Compute the indefinite integral using Integrate:
Wolfram Research (2008), InverseHaversine, Wolfram Language function, https://reference.wolfram.com/language/ref/InverseHaversine.html.
Wolfram Language. 2008. "InverseHaversine." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/InverseHaversine.html.
Wolfram Language. (2008). InverseHaversine. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/InverseHaversine.html