Branch cuts are lines or curves in the complex plane that are introduced to define a single-valued branch of a multi-valued function, such as the logarithm or square root. By creating these cuts, we can avoid ambiguity when determining the function's values, particularly as we navigate around points where the function would otherwise loop back on itself. This helps us make sense of mappings created by elementary functions and ensures consistent and well-defined outputs for complex inputs.
congrats on reading the definition of Branch Cuts. now let's actually learn it.