functions of a complex variableの例文

• Multivalued functions of a complex variable have branch points.
• His early work pertained to the theory of functions of a complex variable, particularly, complex dynamics.
• At that time Klein was dealing with deep problems of algebra and theory of functions of a complex variable.
• In this context the extension of holomorphic functions of a complex variable is developed as the holomorphic functional calculus.
• He also published the second Carus Mathematical Monograph, " Analytic Functions of a Complex Variable ."
• Consequently, " f " is not functions of a complex variable rather than of a real variable.
• One is as a function of a complex variable " z " and a lattice ? in the complex plane.
• Sometimes the partial numerators and partial denominators of a continued fraction are expressed as functions of a complex variable " z ".
• In complex analysis, the integrand is a complex-valued function of a complex variable instead of a real function of a real variable.
• The incompressible-potential-flow equation can also be solved by conformal mapping, a method based on the theory of functions of a complex variable.
• Techniques from the theory of analytic functions of a complex variable are often used in real analysis  such as evaluation of real integrals by residue calculus.
• As functions of a complex variable, inverse hyperbolic functions are multivalued functions that are arcs ( usually half lines or line segments ) have been removed.
• He is known for Morera's theorem in the theory of functions of a complex variable and for his work in the theory of linear elasticity.
• Conformal mappings are invaluable for solving problems in engineering and physics that can be expressed in terms of functions of a complex variable but that exhibit inconvenient geometries.
• The study of functions of a complex variable is known as complex analysis and has enormous practical use in applied mathematics as well as in other branches of mathematics.
• An example in space of two dimensions is the pseudogroup of invertible holomorphic functions of a complex variable ( invertible in the sense of having an inverse function ).
• Widely used in these books was the well-developed theory of conformal mappings of functions of a complex variable, allowing one to derive a large number of exact solutions of plane problems.
• (If is not smooth, but only, the statement still holds provided 0 } } . ) The space of such functions of a complex variable is called the Paley Wiener space.
• During his time at Oxford he met the D . Phil under the supervision of Hardy with a thesis entitled " Applications of the Theory of Functions of a Complex Variable ".
• "Theory of functions of a complex variable " : He greatly extended the theory of conformal transformation proving his theorem about the extension of conformal mapping to the boundary of Jordan domains.