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Kodaira's publications include, with Georges de Rham, Harmonic Integrals (1950); with D.C. Spencer, On Deformations of Complex Analytic Structures (1957); with James Morrow, Complex Manifolds (1971); and Complex Manifolds and Deformation of Complex Structures (1986).
Thus, it became feasible to study analytic functions via power series, a program attempted by the Italian French mathematician Joseph-Louis Lagrange for real functions in the 18th century but first carried out successfully by the German mathematician Karl Weierstrass in the 19th century, after the appropriate subject matter of complex analytic functions had been discovered.
For complex analytic functions, this theorem has a significant generalization known as Mergelyan's theorem.
The method involves the representation of real oscillatory signals as complex analytic signals.
We first solve the RHBVP in (mathbb{R}^{4}) by transforming it into a RHBVP for complex analytic functions.
A two degrees of freedom model is formed, which allows to avoid complex analytic postulations and finite element formulations.
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Charging for more complex analytics tools is another option.
The engineering and fraud teams built a complex analytics system named IGOR to help dedicated employees identify fraudulent behavior patterns.
Infochimps data scientists and engineers developed the platform so they could collect lots of data and perform complex analytics along the way.
Sybase IQ-M demonstrates that complex analytics on very large databases benefit from a radical re-evaluation of many aspects of internal database design.
Analytics Engines — a Belfast-based company that has developed a suite of plug-in 'software accelerators' allowing for complex analytics and real-time processing of Big Data in finance, genomics, and utilities — has closed a $1.6m/£1m funding round.
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