holomorphic

英語

詞源

holo- +‎ -morphic

形容詞

holomorphic (無比較級)

1. (複變分析) 全純的
   • 1998, Stefan-M. Heinemann, Julia Sets in Cⁿ, Hartje Kriete, Progress in Holomorphic Dynamics, Addison Wesley Longman, page 159,

     The iteration of holomorphic maps of one variable is one of the most lively fields of current mathematical research. Since its beginning in the twenties of this century, the theory of holomorphic endomorphisms of the Riemann sphere (= rational functions) has become well developed.

   • 1998, Robert Friedman, Algebraic Surfaces and Holomorphic Vector Bundles, Springer, page 303,

     A holomorphic 1-form on X is closed, and so

     $0=d\eta _{1}=df\land \eta _{2}$.

   • 2010, Graziano Gentili, Jacques Guenot, Giorgio Patrizio, Holomorphic Dynamical Systems: Lectures given at the C.I.M.E. Summer School, Springer, page v,

     The theory of holomorphic dynamical systems is a subject of increasing interest in mathematics, both for its challenging problems and for its connections with other branches of pure and applied mathematics. A holomorphic dynamical system is the datum of a complex variety and a holomorphic object (such as a self-map or a vector field) acting on it.

2. 全對稱的

派生詞彙

• antiholomorphic
• biholomorphic
• holomorphically
• holomorphicity
• hyperholomorphic
• nonholomorphic
• pseudoholomorphic
• triholomorphic
• ultraholomorphic

 

翻譯

of a complex function

• 捷克語：holomorfní
• 芬蘭語：holomorfinen
• 法語：holomorphe (fr)
• 德語：holomorph
• 匈牙利語：holomorf
• 哈薩克語：голоморфтық (golomorftyq)
• 波蘭語：holomorficzny m