His current research is focused on applying geometric function on several complex variables and application of mathematics on industrial and financial applications 研究方向多复变数几何函数论数学在工业与金融中的应用
To investigate generalization capability of feedforward neural networks ; the influencing factors of generalization capability of feedforward neural networks are analyzed according to function theory 摘要针对前向神经网络泛化问题,从函数论的角度分析了影响前向神经网络泛化性能的因素。
Therefore , computation of the bergman kernel function by explicit formula is an important research direction in several complex variables . up to now , there are still many mathematicians working in this direction 因此,如何求bergman核函数的显表达式一直是多复变函数论的一个重要的研究方向,至今仍吸引着许多数学家对此进行研究。
Some identitiess are important in function theory , combinatorial mathematics , analytic theory of number and other regions . in this paper , some combinatorial identities are proved based on binomial generating function 摘要一些恒等式在函数论、组合数学、解析数论等学科的研究领域中极为重要。以二项式作为生成函数,给出了几个组合恒等式证明。
In the fifth chapter , we use the the methods of function theory establised a class of analytic reproducing kernel space , we call it a generalized arveson space . we study the relationship of these space , and obtain some intersting results , we also defined toeplitz c * - algebra on the generalized areveson space , obtain some results of toeplitz c * - algebra on the generalized areveson space 在第五章中,我们利用函数论的方法建立了更广泛的一类解析的再生核空间,称之为广义arveson空间,讨论了它的一些关系,并得到了一些有趣的结果。还定义了广义arveson空间上的toeplitzc * -代数,建立了广义arveson空间上的toeplitzc * -代数的一些性质。
函数: function论: The Analects of Confucius代数函数论: algebraic function theory递归函数论: rft recursive function theory复变函数论: complex analysis; theory of functions of a complex variable; theory of functions of complex variable复值函数论: complex function theory广义函数论: distribution theory函数论的: function theoretic几何函数论: geometric theory of functions解析函数论: theory ofanalytic functions模函数论: modular function theory实变函数论: theory of functions of a real variable数论函数: arithmetic al function; arithmetische funktion arithmetic function; number-theoretic function双曲函数论: theory of hyperbolic functions有界函数论: theory of bounded function正交函数论: theory of orthogonal functions堆垒数论函数: additive number-theoretic function函数论的零集: function theoretic null set多复变函数论基础: fundamentals of multi func. of complex varia数论: number theory乘数论: theory of the multiplier基数论: theory of cardinals距数论: metric number theory实数论: theory of real number数论法: number theoretical method; number-theoretical method