11. The principal square root function is thus defined using the nonpositive real axis as a branch cut . 12. He beats at the fire with a long branch cut from a sapling, with only limited success. 13. This locus is called a branch cut . 14. The latter term has branch cuts , but because ? is only defined modulo 2? they are unphysical. 15. These arcs are called branch cuts . 16. A tree with its top branches cut back near the trunk surely does not have a natural look. 17. A branch cut , usually along the negative real axis, can limit the imaginary part so it lies between and. 18. The South Branch cuts across moraines and part of the river bed is the plain of an ancient lake. 19. The principal value ( the most common branch cut ), corresponds to " ? " chosen in the interval. 20. These surfaces are glued to each other along the branch cut in the unique way to make the logarithm continuous.
