Thus, the above formula defines a principal value of arcosh outside the real interval, which is thus the unique branch cut.
22.
The branch cut is then outside the combined contour, so the function is analytic in the interior of the combined contour.
23.
In most cases is a branch point and the line from to positive infinity is a branch cut for this function.
24.
Two weeks later the branch cut its workforce by 10 %, something Templeton neglected to announce as the employees applauded his virtue.
25.
In the following graphical representation of the principal values of the inverse hyperbolic functions, the branch cuts appear as discontinuities of the color.
26.
Turmeric powder was smeared across his forehead as a blessing and in his hand he carried a branch cut from a neem tree.
27.
It follows that the principal value of arsech is well defined by the above formula outside two branch cuts, the real intervals and.
28.
One Chesapeake branch cut off at present Ellett, Virginia, went up the North Fork of the Roanoke River, down Catawba Creek to Richmond.
29.
The logarithm can be made continuous by gluing together countably many copies, called " sheets ", of the complex plane along the branch cut.
30.
It was stated that King Mark tried to have the branches cut three separate times, and each time, the branches grew back and intertwined.
