May 22, 2015 · Then instead of a "multivalued function" you have several ordinary (single-valued) functions in each region. These ordinary functions are called "branches" of the multivalued …

This is what Wikipedia says on multivalued functions: In mathematics, a multivalued function from a domain X to a codomain Y is a heterogeneous relation. However, in some contexts such as …

Jul 3, 2019 · $\begingroup$ This is a bit of a nuanced question depending on what you are asking. To add to reuns' comment, note that the behavior of different continuations differs from …

Apr 7, 2015 · Vector-valued functions return multiple scalar values (organised within a tuple) and considering my programmer background I can't see how this differs, except in terminology, …

Jun 19, 2020 · However, in case of complex there might not be a generally accepted preferred square root due to which $\sqrt(.)$ might refer to the multivalued function from wikipedia. …

Mar 15, 2016 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

Mar 25, 2019 · In this sense, it is not entirely correct to say that $\log$ is a multivalued function, what you have is different logarithm functions depending on the choice of a set where …

Riemann surfaces become handy for multivalued functions because they help you to "transform" a multivalued function in a univalued function. Usually, the most common example is the m-th …

Jun 16, 2019 · Stack Exchange Network. Stack Exchange network consists of 183 Q&A communities including Stack Overflow, the largest, most trusted online community for …

May 14, 2022 · $\begingroup$ As a function of a complex variable, $\sqrt z$ has a "branch point" at the origin. If you delete from the domain a curve going from the origin to infinity – for …