V. S. Vladimirov: Several complex variables in mathematical physics. Sem. Lelong-Skoda, Lecture Notes in Math., Vol.919, 1982, 358-386.V. S. Vladimirov, Several complex variables in mathematical physics, Sem. Lelong-Skoda (Anal- yse) 1980/81 et Colloque de Wimereux (Mai 1981), Lecture...
Real-valued functions of complex variables do not satisfy the Cauchy-Riemann conditions, that is, there exists no Taylor series for this class of functions. Consequently, optimization with respect to complex variables usually requires to split these into their real and imaginary parts followed by an...
The variables in (6.11) are the complex structure J and the 1-form y. 6.1.1 Integrability We have shown that it is possible to interpret the system (1.6) as a moment map equation for the (infinitesimal) action of the Lie algebra \(\tilde{\mathfrak {g}}\) on \(\mathcal {A}\)...
Notes on Several Complex Variables 来自 89.249.170.75 喜欢 0 阅读量: 10 作者: JL Taylor 摘要: There are a number of possible ways to define what it means for a function defined on a domain in Cn to be holomorphic. One could simply insist that the function be holomorphic in each ...
Lecture Notes Springer, n° 1028, (1983), p. 125–162. MathSciNet Google Scholar C.O.KISELMAN: The growth of restrictions of plurisubhasmonic functions (preprint). Google Scholar P.LELCNG: Sur les valeurs lacunaires d’une relation à deux variables. Bull. Sc. Math., t. 56, p....
摘要: When the real and/or imaginary parts of z are variables instead of constants, z is called a complex variable instead of a complex number. Then a function F ( x, y ) can be viewed as a function of z , and calculus operations can be performed on F ( z ).收藏...
A complex stochastic Boolean system (CSBS) is a system depending on an arbitrary number n of random Boolean variables. The behavior of CSBS is determined by the ordering between the occurrence probabilities Pr {u} of the 2n associated binary n-tuples u=(u1,...,un) E {0,1}n. In ...
student is exposed to some calculus of two variables, though, strictly speaking this is not necessary. I hope that as the course proceeds, the student acquires more and more sophistication. This book is the outcome of the lecture notes for the courses that I have taught at ...
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Using Adam to optimize directly on complex variables makes sense for problems which do have a genuinely complex structure, but I think it's going to be key to note in the docs that (1) lots of historical work is done by separately optimizing on the real and imaginary parts, and (2) op...