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-form
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  1-形式
     In section 2, the differentiation-contraction operatorηin 1-form spaceΛ1 (P) on Poisson manifold P is defined, and the important proposition which is related with the differentiation- contraction operatorηis offered. That is, the necessary and sufficient condition that the vector field #αinduced by the 1-formαis symplectic vector field isηαβ= {α,β}.
     第二节在Poisson流形的1-形式空间Λ1(P)上定义了微缩算符η,得到了与微缩算符η有关的性质,给出了1-形式空间Λ1(P)上的1-形式α诱导的向量场α#是辛向量场的充分必要条件是ηα= {α,β}。
短句来源
     This proposition shows that the differentiation-contraction operatorηis the generalization of Poisson bracket { , } on 1-form spaceΛ1 (P);
     即,1-形式空间Λ1(P)上的β微缩算符η是Poisson括号{ , }的推广;
短句来源
     The quarter symmetric metric concurrent connection is defined and its conformal and projection conformations are studied wuth some meaningful conclusions:the relationship between D's conformal transformtaion(1)tensor,1-form and D's(1)-tensor,and 1-form;
     定义了1/4对称度量循环联络,研究了1/4对称度量循环联络的共形变换和射影变换,得到了一些有意义的结论,1)D的共形变换D的(1)型张量,1形-式与D的(1)型张量,1-形式之间关系;
短句来源
     The last,we study the properties of the basic vector field and 1-form in the Poisson-Nijenhuis manifold,making a systematic organization of these contents and giving some appropriate adds.
     最后我们研究了Poisson-Nijenhuis流形上基本向量场和基本1-形式,对已有的成果进行了系统的整理,并加以补充。
短句来源
     Modern differential geometry is applied as the tool of study for non-holonomic systems. Introduction of 1-form based on a manifold M-leads to the corresponding contact form and cartan form, obtaining the Boltzmann-Hamel equation of a nonholonomi c system under the differential form.
     本文用现代微分几何的方法研究非完整系统,通过适当引入流形M上的1-形式基,导出相应的接触形式和Cartan形式,由此得到非完整系统在微分形式下的Boltzmann-Hamel方程。
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  “1-form”译为未确定词的双语例句
     87.50% patients with bcr1-form showed L-SSC phenotype and 64.29% patients with bcr3-form showed NL-SSC phenotype.
     bcr1型患者中85.70%表现为L-SSC,而bcr3型患者中64·29%表现为NL-SSC。
短句来源
     The median NQ of PML/RARα mRNA was 0.450 in newly diagnosed APL patients . There was no significant difference about PML/RARα mRNA expression of both bcr3-form and bcr1-form APL patients.
     bcr1型和bcr3型APL患者的PML/RARαmRNA表达量无差异,bcr3型APL患者中形态学M3v比例和WBC数比bcr1型患者高;
短句来源
     If (x;t) = A(x,t)dx + B(x,t)dt is a flat,g-valued connection 1-form, there exists a unique : R2 --. G such that (0,0) = e(e is a unit of G).
     如果Ω(x,t)=A(x,t)dx+B(x,t)dt是平坦的g-值联络形式,且存在唯一映射Φ:R~2→G使得Φ~(-1)Φ=Ω,Φ(0,0)=e(e是G的单位元),这样的Φ称为Ω的平行移动。
短句来源
     Commonly used agents of immune intervention on Type 1 DM couldbe devided into four groups: ① To accelerate immune reaction fromTh1-form to Th2-form, such as GAD, Hsp, FA, BCG, Vit D3, IGF-1,Anti-IL-12, etc.
     目前常用的 1 型糖尿病免疫干预制剂有以下几类:① 促进免疫反应由Th1 型向 Th2 型转化,如谷氨酸脱羧酶、热休克蛋白、弗氏佐剂、卡介苗、双羟维生素 D3、胰岛素样生长因子-1、抗白介素-12 抗体、磷酸二酯酶抑制剂等;
短句来源
     First following the Wang’s method and using the condition for curvature and the first eigenvalue, we know that either there does not exist any nontrivial L2 harmonic 1-form or some differential equations hold on these conformally compact manifolds.
     利用Wang的方法以及流形的曲率和第一特征值条件可知,流形上不存在非平凡的L2调和1形式,或者流形上成立一些微分方程.
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  相似匹配句对
     1?
     1?
短句来源
     L~-1 ;
     L~(-1)左右;
短句来源
     L-1.
     L~(-1)左右、pH值以5.2为宜。
短句来源
     In [1], R.
     R.
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     On form
     “形式”论
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  -form
Given a pseudo Riemannian metrich and a torsion-free affine connection ? on a smoothn-manifold M,a dual geodesic curve of ? is defined as a curve whose tangent 1-form is parallel along the curve.
      
Assuming that X belongs to a pair X,Y of reciprocal quasi-cocircular vector fields and that the Pfaffian of this pair is the 1-form associated with the connection, the following results are derived: 1.
      
For the Kupka-Smale fields a Lyapunov 1-form has been introduced.
      
It is shown that the equations of the gravitational field in 1-form Finslerian space-time imply that the streamlines of an incoherent fluid are Finslerian geodesics.
      
is usually regarded as the kinematical structure of classical Lorentzian gravity when the latter is viewed as a Yang-Mills type of gauge theory of a sl(2, {?})-valued connection 1-form .
      
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In this paper the general synthesis problem of optimal control systems with the criterion of transient responses as a positive integral functional (3) is discussed.In the first part it is assumed that the motion of controlled object is described by a system of ordinary differential equations and that the final states of the system form a bounded and closed convex region in n-dimentional euclidian phase space. A method is proposed for finding all optimal control functions which lead any starting state into...

In this paper the general synthesis problem of optimal control systems with the criterion of transient responses as a positive integral functional (3) is discussed.In the first part it is assumed that the motion of controlled object is described by a system of ordinary differential equations and that the final states of the system form a bounded and closed convex region in n-dimentional euclidian phase space. A method is proposed for finding all optimal control functions which lead any starting state into the given final region of states. Some conclusions are obtained from the maximum principle by using transversal conditions of optimal trajectories in terminal points, and the particular properties of the stated problem are pointed out. The case of linear dif-ferential equations with integral quadratic functional criterion is investigated in detail.Further, in the second part the fundamental properties of isoloss regions, the rela-tions between the isoloss region and optimal control functions are indicated. As a direct result a partial differential equation determining the optimal loss-function J (x) is found and the connection between function J (x)and optimal vector control function u (x) is also stated. The methods proposed are practically the extension of the me-thods used by us for designing time optimal control systems as seen in [5, 6 ,7].Finally, an example is illustrated with optimal trajectories shown in phase plane.The necessary numerical data is calculated by an analog computer with high accuracy.

文中研究了具有公式(3)表示的一般正积分泛函的最优控制系统的综合问题.在第一部分中研究了具有控制参数的一阶微分方程组.控制系统的终点状态为n维相空间内的某一逐段光滑边界的闭性区域Ω.文中指出了根据极大值原理和轨道终点的横截条件寻找引到Ω的所有最优轨迹的方法.这里详细地研究了具有二次泛函和被积函数中不明显含有控制参数的质量指标泛函的线性方程情况.在文中第二部分研究了等损耗区的主要特性.指出了等损耗区与最优控制函数之间的关系.导出了求算最优损耗函数J(x)的偏微分方程,以及这一函数与最优控制函数u(x)的关系.上述方法是我们曾在文献[5,6,7]中用过的最优快速系统的综合方法的推广.文章最后举有例证.

This paper describes the dynamic behaviors of a selfbiased bistable multivibrator by the use of waveform analysis with special attention to the switching action of the isolation diodes and the effect of the symmetrical triggering pulse. Seven typical forms of transi-tion and four typical forms of failure are introduced in which the monotonic transition case with the grid voltage intersection point at the leading edge of the triggering pulse gives the highest dynamic stability. Experimental results...

This paper describes the dynamic behaviors of a selfbiased bistable multivibrator by the use of waveform analysis with special attention to the switching action of the isolation diodes and the effect of the symmetrical triggering pulse. Seven typical forms of transi-tion and four typical forms of failure are introduced in which the monotonic transition case with the grid voltage intersection point at the leading edge of the triggering pulse gives the highest dynamic stability. Experimental results are included to illustrate the main points.

在研究触发器的动态过程中,我们考虑了隔离二极管的开关作用和触发脉冲的影响,介绍了一种简单直观的分析方法. 文中概括出触发器的七种典型翻转过程和四种破坏情况,指出“交点在前沿的单调翻转过程”的动态可靠性最高.文中主要论点都有实验验证.

The absorption band of water vapor at 0.94 μ is studied photographically by means of a concave grating spectrometer. Twenty eight component lines are observed and measured on a comparator as well as on a Moll microphotometer. This band shows something of a doublet form which suggests that the H2O molecule has a triangular form with the oxygen atom at the vertex of an obtuse angle. The lines agree closely with some of the absorption lines in the solar spectrum as measured by Abney in 1880.

前之研究红外光谱者类多依赖热电堆以测定光谱内光能之分布。吾人咸知红外带状光谱之接近可见部分者,其成分线排列甚密。若用热电堆万难分析而得其细微组织。作者所考察之光谱正在红外照相片感光范围之内,故得测定水汽带状光谱内各成分线之波长而具有1内之准确度。 作者所用分光仪器为一凹面光栅,其曲度半径为2公尺。该光栅面上每厘米划有线6000根,颇适合红外光谱之探讨。所用光源为一1000流明之电灯泡泡内有一一字形线圈灯丝,其所发之光穿过2公尺之105°—110℃水汽而交聚在分光仪之缝上。红外照相片经氨溶液之超度敏化后,即安置於已经配准之相片匣内,而使之感光。光之可见部分系用深红滤片割除。照光时间约 费四五十小时,然后除去滤片,照以水银光谱凡数秒,作为决定波长之标准。 用前法所摄得之光谱大都不十分清晰,其主要原因系由水汽管之太短。但用显微光度计量之,各成分线之波长不难准至1(?)范围以内。本实验所得各线若与五十年前Abney所测定太阳光谱中0.94μ附近之吸收线相比较,可见太阳红外光谱中许多吸收线系由大气中水汽所产生,而证实Abney最初之推想。惟本实验所测定之吸收线与Abney所测定太阳光谱中之对应黑线具有一等差数约合1.5...

前之研究红外光谱者类多依赖热电堆以测定光谱内光能之分布。吾人咸知红外带状光谱之接近可见部分者,其成分线排列甚密。若用热电堆万难分析而得其细微组织。作者所考察之光谱正在红外照相片感光范围之内,故得测定水汽带状光谱内各成分线之波长而具有1内之准确度。 作者所用分光仪器为一凹面光栅,其曲度半径为2公尺。该光栅面上每厘米划有线6000根,颇适合红外光谱之探讨。所用光源为一1000流明之电灯泡泡内有一一字形线圈灯丝,其所发之光穿过2公尺之105°—110℃水汽而交聚在分光仪之缝上。红外照相片经氨溶液之超度敏化后,即安置於已经配准之相片匣内,而使之感光。光之可见部分系用深红滤片割除。照光时间约 费四五十小时,然后除去滤片,照以水银光谱凡数秒,作为决定波长之标准。 用前法所摄得之光谱大都不十分清晰,其主要原因系由水汽管之太短。但用显微光度计量之,各成分线之波长不难准至1(?)范围以内。本实验所得各线若与五十年前Abney所测定太阳光谱中0.94μ附近之吸收线相比较,可见太阳红外光谱中许多吸收线系由大气中水汽所产生,而证实Abney最初之推想。惟本实验所测定之吸收线与Abney所测定太阳光谱中之对应黑线具有一等差数约合1.5(?)_0此等差数之产生想系由於波长单位之不同以及个别仪器误差所

 
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