查询词典 individual ergodic theorem

this article discusses the integral theorem of mean the promoted question, mainly has two aspects: On the one hand in analyzes in the teaching material under the first integral theorem of mean condition, had proven lies between the value spot to have to be possible to obtain in the open-interval, further discusses this knot promotes to the generalized Riemann integral, and further proved the conclusion also establishes to the promoted first integral theorem of mean; Promotes on the one hand in addition the integral theorem of mean to in the curve and the curved surface, and has proven the curvilinear integral theorem of mean and the surface integral theorem of mean.

本文讨论积分中值定理的推广问题，主要有二个方面：一方面在分析教材中第一积分中值定理的条件下，证明了介值点必可在开区间内取得，进一步将这个结论推广到广义Riemann积分，并进一步证明结论对推广的第一积分中值定理也成立；另一方面，将积分中值定理推广到曲线和曲面中，并证明了曲线积分中值定理和曲面积分中值定理。

The thesis will introduce, respectively, relevant concepts of residue theorem and its promotion and application in two parts In the basic concepts of chapter II, the definition, classification and relationship between function zero and pole of the isolated singular point are given to lead out relevant definition, theorem and solving method, while the core content of this paper is promotion and application of residue theorem, including calculation of integration by using residues, application in diagonal theorem and argument theorem, application in electromagnetism and theorem promotion and relevant application of extension theorems

本文将从两大部分分别引入和浅析了留数定理的相关概念及其推广和应用在第二章的基本概念部分中，给出了孤立奇点的定义和分类、函数零点与极点的关系，从而引出留数定理的相关定义与定理及其求法而本文的核心内容也就是留数定理的推广和应用，包括运用留数来计算积分、体现在对角定理与辐角定理中的应用、在电磁学中的应用及其定理的推广和推广定理的相关应用

Differential intermediate value theorem and the Taylor formula In this paper, leads to Fermat's theorem Rolle Mean Value Theorem, and then constructing auxiliary function of the Lagrange mean value theorem and Cauchy's Mean Value Theorem to prove that.

微分中值定理和泰勒公式本文通过费马定理引出罗尔中值定理，再构造辅助函数对拉格朗日中值定理和柯西中值定理进行证明。

Discover in Ping Yuanxin Su Tieye of lake of celestial being of 10 individual plant gives birth to plant; Bai Leshu to be in those who join an administrative division to plant among them group of amounts amount to 160 individual plant, give priority to; to be in with seedling benevolence change fine-toothed comb 3 pointed fir amount to; of 300 individual plant to make the same score Yuan Banfeng carry on one's shoulder to Ren Douxin of; of 100 individual plant sees Yu Qingxin is mixed only then promote, peace of; of above of 1000 individual plant, river source and broadleaf plant mountain discover the amount Su Tie brake is planted group, aggregate; of hundreds individual plant only then allow new discovery tree of silver-colored magpie of 57 individual plant.

其中在平远新发现10株仙湖苏铁野生植株；伯乐树在连州的种群数量达160株，以幼苗为主；在仁化篦子三尖杉达300株；平远半枫荷有100株；任豆新见于清新和始兴，数量1000株以上；和平、河源和蕉岭发现苏铁蕨种群，合计数百株；始兴新发现57株银鹊树。

Then I make the simulations on the ergodic and outage capacity in many cases, on the influence of the k-factor on ergodic capacity, and on the cumulative distribution function of the information rate of a flat fading MIMO channel in water-pouring cases. Then I make analysis of all the simulation results.

对MIMO的各态历经信道容量和中断信道容量在多种情况下行了研究和仿真；对瑞利K因素对信道的影响和注水情况下MIMO平坦衰落情况下的信息速率的累积分部函数作了仿真，并对仿真结果进行了详细的分析。

In the low temperature these polymers usuallywill undergo a glassy transition from an ergodic state to a non-ergodic(or non-equilibrium)state.

这类材料在低温下一般会发生由各态历经态到非各态历经态的玻璃化相变。

In this paper, it is proved that the polar signal obtained from the symbolization of an ergodic random signal is stationary and that the autocorrelation function of the polar signal is ergodic.

本文证明了各态历经的随机信号经符号化处理后，得到的极性信号是干稳的，极性相关函数是各态历经的。

Obtain the necessary and sufficient conditions of ergodic and exponentially ergodic properties for the population process.

给出了人口过程遍历性与指数遍历性的充分必要条件。

We shall use the results in [2] to study the properties of topologically ergodic maps and topologically double ergodic maps.

本文在[2]的基础上进一步讨论拓扑遍历与拓扑双重遍历映射的性质。

Stationary process: spectral decomposition of covariance function, spectral decomposition of stationary process, linear time invariant system, ergodic theorem, sampling theorem.

平稳过程：协方差函数的谱分解，平稳过程的谱分解，线性时不变系统，遍历定理，采样定理。

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。