例句與造句

1. He is famous for his contributions to algebraic geometry and the theory of functions of several complex variables.
2. At Princeton, Hua worked on matrix theory, functions of several complex variables, and group theory.
3. Functions of several complex variables are in some basic ways more complicated than functions of a single complex variable.
4. He does research on the theory of functions of several complex variables with emphasis on their geometry and dynamics.
5. Siegel modular forms can be thought of as multivariable modular forms, i . e . as special functions of several complex variables.
6. It's difficult to find functions of several complex variables in a sentence. 用functions of several complex variables造句挺難的
7. He also worked with the axiomatic formulation of quantum field theory, which led to contributions to the theory of functions of several complex variables.
8. More generally, a function of several complex variables that is square integrable over every compact subset of its domain is analytic if and only if it satisfies the Cauchy Riemann equations in the sense of distributions.
9. He contributed in a major way to birational geometry, the theory of algebraic surfaces, in particular of the curves lying on them, the theory of moduli spaces and the theory of functions of several complex variables.
10. Washnitzer studied at Princeton University under Emil Artin and in 1950 received a Ph . D . ( " A Dirichlet Principle for analytic functions of several complex variables " ) under the supervision of Salomon Bochner.
11. The actual projective embeddings are complicated ( see equations defining abelian varieties ) when " n " > 1, and are really coextensive with the theory of theta-functions of several complex variables ( with fixed modulus ).
12. It has an aspect belonging to the theory of special functions, because such elliptic functions, or abelian functions of several complex variables, are then'very special'functions satisfying extra identities and taking explicitly calculable special values at particular points.
13. C . L . Siegel was heard to complain that the new " theory of functions of several complex variables " had few " functions " in it, meaning that the special function side of the theory was subordinated to sheaves.
14. "He made important contributions to the study of analytic functions of several complex variables, which is a branch of mathematics developed in this century that has important connections to algebraic geometry, partial differential equations and other mathematics, " said John Wermer, a retired professor of mathematics at Brown University.
15. His research topics include algebraic geometry ( particularly resolution of singularities, a field in which he made significant progress over fields of finite characteristic ), commutative algebra, local algebra, valuation theory, theory of functions of several complex variables, quantum electrodynamics, circuit theory, invariant theory, combinatorics, computer-aided design, and robotics.
16. In 1956, his voluminous text, " Introduction to Number Theory ", appeared, and later it was published in English by Springer . " Harmonic Analysis of Functions of Several Complex Variables in the Classical Domains " came out in 1958 and was translated into Russian in the same year, followed by an English translation by the American Mathematical Society in 1963.