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- Positive-real_function abstract "Positive-real functions, often abbreviated to PR function, are a kind of mathematical function that first arose in electrical network analysis. They are complex functions, Z(s), of a complex variable, s. A rational function is defined to have the PR property if it has a positive real part and is analytic in the right halfplane of the complex plane and takes on real values on the real axis.In symbols the definition is,In electrical network analysis, Z(s) represents an impedance expression and s is the complex frequency variable, often expressed as its real and imaginary parts;in which terms the PR condition can be stated;The importance to network analysis of the PR condition lies in the realisability condition. Z(s) is realisable as a one-port rational impedance if and only if it meets the PR condition. Realisable in this sense means that the impedance can be constructed from a finite (hence rational) number of discrete ideal passive linear elements (resistors, inductors and capacitors in electrical terminology).".
- Positive-real_function wikiPageID "23437839".
- Positive-real_function wikiPageRevisionID "491694297".
- Positive-real_function hasPhotoCollection Positive-real_function.
- Positive-real_function subject Category:Complex_analysis.
- Positive-real_function subject Category:Electronic_engineering.
- Positive-real_function subject Category:Types_of_functions.
- Positive-real_function comment "Positive-real functions, often abbreviated to PR function, are a kind of mathematical function that first arose in electrical network analysis. They are complex functions, Z(s), of a complex variable, s.".
- Positive-real_function label "Positive-real function".
- Positive-real_function sameAs m.06w9lz6.
- Positive-real_function sameAs Q7233208.
- Positive-real_function sameAs Q7233208.
- Positive-real_function wasDerivedFrom Positive-real_function?oldid=491694297.
- Positive-real_function isPrimaryTopicOf Positive-real_function.