page_title: Principal value
section_title: Complex argument
hierarchical_section_title: Principal value / General case / Principal values of standard functions / Complex argument
caption_attribution_description: English: Comparison of atan and atan2 functions Polski: Porównanie funkcji atan i atan2 This &#32;plot&#32;was created with Gnuplot.
context_page_description: In mathematics, specifically complex analysis, the principal values of a multivalued function are the values along one chosen branch of that function, so that it is single-valued. The simplest case arises in taking the square root of a positive real number. For example, 4 has two square roots: 2 and –2; of these the positive root, 2, is considered the principal root and is denoted as
context_section_description: The principal value of complex number argument measured in radians can be defined as:
  values in the range 
  values in the range 
  To compute these values one can use functions :
  atan2 with principal value in  the range 
  atan  with principal value in  the range
caption: comparison of atan and atan2 functions
exif: {}