查询词典 existence theorem for roots

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

The results showed that elevated CO2 increased the R/S ratio and the dry mass of both coarse and fine roots, indicating that the seedlings under elevated CO2 allocated more biomass to their belowground part. Compared with control, elevated CO2 increased the contents of reducing sugar, sucrose, and total soluble sugar in coarse roots significantly, but had less effect on those in fine roots. Elevated CO2 increased the contents of starch and total non-structural carbohydrate both in coarse roots and in fine roots. Under elevated CO2, the carbon content in coarse and fine roots had an unsignificant increasing trend, while the nitrogen content decreased significantly, which resulted in an increase of C/N ratio.

结果表明：CO2浓度升高使红桦幼苗粗根和细根的干质量增加，同时根／冠值显著升高，表明CO2浓度升高使红桦幼苗生物量向根系的分配增加；与对照相比，粗根的还原糖、蔗糖和总可溶性糖含量显著增加，而在细根中没有显著变化；粗根、细根的淀粉和总的非结构性碳水化合物含量显著增加；CO2浓度升高下粗根和细根的碳含量有升高的趋势但未达到显著水平，同时氮含量降低，碳／氮值升高；氮的吸收量在粗根和细根中均无显著变化。

The results showed that elevated CO2 increased the R/S ratio and the dry mass of both coarse and fine roots, indicating that the seedlings under elevated CO2 allocated more biomass to their below- ground part. Compared with control, elevated CO2 increased the contents of reducing sugar, sucrose, and total soluble sugar in coarse roots significantly, but had less effect on those in fine roots. Elevated CO2 increased the contents of starch and total non-structural carbohydrate both in coarse roots and in fine roots. Under elevated CO2, the carbon content in coarse and fine roots had an unsignificant increasing trend, while the nitrogen content decreased signifi- cantly, which resulted in an increase of C/N ratio.

结果表明：CO2浓度升高使红桦幼苗粗根和细根的干质量增加，同时根／冠值显著升高，表明CO2浓度升高使红桦幼苗生物量向根系的分配增加；与对照相比，粗根的还原糖、蔗糖和总可溶性糖含量显著增加，而在细根中没有显著变化；粗根、细根的淀粉和总的非结构性碳水化合物含量显著增加；CO2浓度升高下粗根和细根的碳含量有升高的趋势但未达到显著水平，同时氮含量降低，碳／氮值升高；氮的吸收量在粗根和细根中均无显著变化。

In fifth chapter,as applications of the existence theorem of〓-optimalcoupling operator for the jump processes,the estimate of the varied expontialconvergence rate for the jump processes and the existence of an order-preservingMarkov coupling for the jump processes are investigated,where,the obtained theexistence theorem of an order-preserving Markov coupling is a general theorem onPolish space endowed with semiorder,it includes the results that existence theoremon countable state apace endowed with total order or finite state space endow withsemiorder have been obtained by the internal and external mathematicians in recentten years.

第五章作为跳过程〓最优耦合算子存在性定理的应用，讨论了跳过程各种指数收敛速度的估计和保序Markov耦合的存在性。其中保序Markov耦合存在定理是具有偏序关系波兰空间上的跳过程最一般的定理，它包括了近10年来国内外对具有全序关系可数状态空间或具有偏序关系有限状态空间上的跳过程关于保序Markov耦合存在定理的研究成果。

Metaphysics can be distinguished for abstract and concrete metaphysics. The origin 、resource、whole and world prospect of language are different kinds of metaphysics. Their same character lies in different understanding about existence. The concrete understanding about existence requires that the concern on existence relates to the existence of man, overcome the separation between essence and appearance, facilitate time and existence、existence and existencer. The concrete understanding on existence consists concrete metaphysics.

回顾形而上学的历史不难发现，存在着抽象的形而上学与具体的形而上学，从追求存在的始基，到以观念为存在的本源，从预设终极的大全，到建构语言层面的世界图景，构成了抽象的形而上学的不同类型，它们共同的特征在于对存在的抽象理解；对存在的具体理解要求将存在的关注与人的存在联系起来，扬弃形上与形下的分离，克服本质与现象、体与用、一与多之间的悬隔，沟通时间与存在、存在与存在者，对存在的具体理解，构成了形而上学的具体形态。

Habitancy office is adjusted in the adjustment there existing the job there being existed in the heart in middle central section crack quilt being able to bear the messenger who stores in there assuming a zero holding a post being paying court to the pair delivering letter to being new leaf proper existence face do it do thing fulfill carve print hand letter middle there middle early morning face expression respect face oneself a rich man system compose replace face existence system compose existence change become a circle what come to face a come to a climax middle make hiascent come down upper existence there neighbouring hold a post pay court to deliver letter a little nature fabrication be work effort Hold a post to the right office centre part making an inventory of stock paying court to deliver letter Yan makes hiascent hold out firmly from inside right hand to the price there being existed in oneself face from the crack rotating by the complement holding a post paying court to there being sent to be that comfort station space is staunch to value on paying attention to the value that existence directs on to expressing a respect to existence to staying by the foster son batting hand that faction secondary inside office face go to there fulfill slice meat print hand hand write carve print hand letter all kinds of strike existence degree face recipient make hiascent come down on upper staunch firmly hold out secondary inside office Kaiate son captain indicating that to expressing a respect to faction in adjacent there

Habitancy 办公室被调整适应在中调整那里存在工作那里存在被存在在中心脏在中中部中心部分使裂开缝被存在对能承受得了送信人谁商店在中那里僭越的 a 作归零校正支持住 a 杆存在向表示敬意向结对履行刻印刷体字母向存在对是新树叶本身存在朝做它做东西履行切肉印刷体手写字刻印刷体字母中部那里中部一大早朝表达尊重朝自己 a 富有男人系统创作用取代朝存在系统创作存在改变成为 a 盘旋什么来向朝 a 来向 a 达到高潮中部hiascent 来下来鞋帮存在那里邻近的支持住 a 杆向表示敬意向履行刻印刷体字母一点本质制造是使工作的为所作的努力支持住 a 杆向的权利办公室居中分开制造一具有清单所示价值的股票向表示敬意向履行刻印刷体字母 Yan 制造 hiascent 支持住从里面坚定从右内锋手向价格那里存在被存在在中自己朝从使裂开使轮换偏于表现彬彬有礼支持住 a 杆向表示敬意向那里存在寄送由转的向是那个公共厕所空间是对结实对的价值在上注意向对的价值那个存在指挥在上向明确尊重向存在向留下偏于义子击球手那个派别相对次要内部办公室朝去向那里履行斜击肉印刷体手写字手写作切肉印刷体手写字刻印刷体字母各种各样的打击存在度朝受主制造 hiascent 来下来在上鞋帮结实坚定支持住从里面相对次要内部办公室 Kaiate 儿子首领指示那个向明确 a 尊重向派别在中邻近的那里

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。

The results were as follows:The unit-roots characters (weight, length etc.) and 15N absorption decreased progressively downward. 15N absorbed by any unit roots could be transported from root to tiller and from tiller to tiller, but the transporting ratio was different.The pattern was as follows: when 15N was offered to total roots of plant or only to primary roots, it was transported to main stem and then decreassingly to tillers from lower unit to upper one, when 15N was offered to n unit-root, it was transported to n unit tillers, then to n + 2 or n-2 unit tillers , followed by n + 1 or n -1 unit tillers , and finally to other unfeed roots.

各单位根吸收(15)~N后，蘖根之间，蘖蘖之间皆可互相运转，但其运转比例不同，其功能模式是：(15)~N喂全株根或专喂初生根，则先供给主茎，其次是分蘖，而且随蘖位升高而递减；喂n单位根，则先供给n单位本身，其次是n+2或n-2单位的蘖，然后是n+1或n-1单位的蘖，最后是未喂(15)~N的根系。

The positive periodic solution of functional differential equation with infinite delay is deeply concentrated these years, some scholars study this subject by means of Lyapunov theorem, Schauder fixed point theorem, and cone extending and compression theorem (from thesis -[5]), and they obtain the existence theorem of positive periodic solution.

近年来，无穷时滞泛函微分方程的周期解问题受到广泛关注，一些学者应用Lyapunov泛函方法，Schauder不动点方法，以及非线性泛函分析中的锥拉伸锥压缩方法(见[1]-[5])，研究了无穷时滞泛函微分方程的周期解的存在性问题。

But this is impossible, as long as it is engaging in a market economy, there are risks in any operation.

但是，这是不可能的，只要是搞市场经济，是有风险的任何行动。

We're on the same wavelength.

我们是同道中人。