查询词典 meromorphic differential

In this paper,we present a new class of second order linear differential equations with meromorphic coefficients and investigate the problems on the fixed points and hyper order of solutions and their 1st,2nd derivatives.

该文提出了一类新型的亚纯函数系数的二阶线性微分方程，研究了其亚纯解及其一阶和二阶导数的不动点及超级问题，得到了有关复域微分方程亚纯解及其一阶和二阶导数的不动点性质。

Firstly, we study the normality of a family of meromorphic functions concerning differential polynomial and shared values and prove the following Theorem 23.5 Let F be a family of m...

证明了 定理 2.3.5设F为Δ上亚纯函数，k、n、q∈N，P=ω~q+α_(q-1)ω~(q-1)+…+α_1ω是多项式，并且设Hf，f~1，…，f~(k是不含常数项的多项式，a、b为两个判别的有穷复数，并且b≠0，c是非零有穷复数。

Meromorphic function ; Differential Polynomial ; Growth

亚纯函数；微分多项式；增长性

Meromorphic function, value distribution,normal families, differential polynomial, multiplicity

亚纯函数，值分布，正规族，微分多项式，重级

It introduces partial fractions of meromorphic functions, product developments of entire functions, Hadamard's theorem, Riemann Zeta functions, Poisson-Jensen's formula; elliptic functions, including simply periodic functions and doubly periodic functions; algebraic functions and algebroid functions, Riemann surface, Nevanlinna theory, including characteristic functions, the first and second fundamental theorems, growth orders, etc; complex differential equations and complex functional equations, etc.

具体为：亚纯函数的部分分式、整函数的无穷乘积展开、Hadamard定理、Riemann Zeta函数、Poisson-Jensen公式；椭圆函数，包括单周期函数、双周期函数；代数函数和代数体函数、Riemann曲面简介；Nevanlinna理论简介，包括特征函数、第一和第二基本定理、增长级等；复微分方程和复函数方程，等等。在教学内容上充分体现基础性、新颖性。

In this paper, we investigate the problem of the existence of transcendental meromorphic solutions of a type of algebraic differential equation and obtain a result.

文摘：讨论了一类代数微分方程的超越亚纯解的存在性问题，得到了一个结果。

Its primary coverage includes: Function and limit, derivative and differential, theorem of mean and derivative application, indefinite integral, definite integral and application, space analytic geometry and vector algebra, function of many variables differential method and application, multiple integral and curvilinear integral, infinite series, differential equation and so on.

其主要内容有：函数与极限，导数与微分，中值定理与导数应用，不定积分，定积分及其应用，空间解析几何与矢量代数，多元函数的微分法及其应用，重积分与曲线积分，无穷级数，微分方程等。

Then using classical fractional differential G-L definition deduces fractional order differential difference function and constructs an approximate fractional order differential Tiansi module.

然后由经典的分数阶微分定义出发，推导出了分数阶差分方程，构建了近似的分数阶Tiansi微分模板。

Simulation results show that our algorithm enforces the adaptability of differential space-frequency modulation to the time delay expansion.Finally, we give our work to reduce the complexity of multiple symbol differential sphere decoding in differential space-time modulation. Through the modification of the enumeration strategy of the search tree in sphere decoding, we significantly reduce the complexity of detection at the expense of little loss on performance.

理论分析和仿真结果都验证了这种检测算法对长信道时延的适应能力论文最后还对差分空时调制中的多符号检测算法进行了研究，提出了一种降低差分空时调制系统中多符号差分球形译码算法复杂度的方法，通过改进球形译码中搜索树的排序策略，使得系统在牺牲较少性能的基础上大大降低了算法实现的复杂度。

Consideration of the structural characteristics of autotransformer, the principles and characteristics of zero-sequence differential protection are analyzed by taking PST1200 as an example, debugging method of zero-sequence differential protection is summed up briefly, the method can well verify the logical function correctness of zero-sequence differential protection, and it has been verified in practical application.

结合自耦变压器的结构特点，以南自PST1200变压器保护装置为例分析了零序差动的原理构成及特点，简要总结了零差保护的调试方法，能够较快且准确的校验零差保护逻辑功能的正确性，并已在实际工作中得到了很好的验证

Summary In copyright infringement cases,if the alleged infringer uses or even plagiarizes the copyrighted works or parts thereof,which causes no substantially adverse effect on the normal exploitation of the work,nor does it inflict any substantial damages to the right owner,the de minis doctrine should be applied to exempt the liabilities of the defendant and seek the balance of interests between the right owner and the general public embodied by the copyright law.

在侵犯著作权案件中，如果被控侵权行为人虽未经著作权人的同意，使用甚至抄袭了受著作权保护的作品或作品的片段，但若情节轻微，未对该作品的正常使用产生任何实质不利的影响，亦未对权利人的权利造成实质性的损害，则应适用&不计琐细原则&，免除行为人的责任，以寻求在权利人利益与著作权法所体现的社会公共利益之间的平衡。

This new product will become our best seller.

这个新产品会成为我们最畅销的产品。