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homogeneous systems
相关语句
  齐次系统
    LIMIT CYCLES OF BINOMIAL HOMOGENEOUS SYSTEMS ——EXISTENCE
    二项齐次系统的极限环——存在性
短句来源
    In this paper we provide a conception of the Eigen value of the nonlinear operator of the dimensional homogeneous Systems and make a theorem.
    本文将高维线性算子本征值概念扩张为高维n次齐次系统非线性算子本征值,当维数为2时[1]已有论述现取消2维限制得出一个定理为考察高维定性提供一个新途径。 兹将主定理摘录如下:
短句来源
    In this paper, we discuss the locally topological structures of nonlinear homogeneous systems with one zero characteristic root, and give a criteria by the right-hand polynomial coefficients.
    本文讨论了具有一个零特征根的非线性齐次系统的局部拓扑结构,并给出利用系统右端多项式系数的判断准则。
短句来源
  “homogeneous systems”译为未确定词的双语例句
    Nonlinear H_∞ Control for Singular Homogeneous Systems
    奇异齐次非线性系统的H_∞控制
短句来源
    A Simple Method for Giving a FundamentalSystem of Linear Homogeneous Systems by theMethod of Divided Matrix
    利用分块矩阵法求齐次线性方程组基础解系的一种简单方法
短句来源
    At first, H_∞ control problems for homogeneous systems are studied in this paper,then the robust stabilization of nonlinear discrete switched systems have been explored and robust stabilization of non-linear discrete-time systems with uncertain parameters are studied. Furthermore ,the problem of H_∞ control for symmetric Systems with time-delay via asynchronous controller switching is studied . Finally,we study the robust and adaptive control of H_∞ almost disturbance decoupling problem with stability for uncertain nonlinear systems.
    本文主要研究了齐次非线性仿射系统的输出奇异H_∞控制问题和时滞H_∞控制问题、非线性离散开关系统和非线性离散不确定系统的鲁棒镇定问题、时滞对称开关系统的H_∞控制问题、不确定非线性系统的适应几乎干扰解耦问题等。
短句来源
    Based on a property of the homogeneous systems of Volterra series,homo- geneity,the block diagrams of formulating the second order and the third order transfer functions are derived in cooperation with the block diagrams of nonlinear elements des- cribed above,and then the transfer functions can be obtained from them.
    依据Volterra 级数齐次项的齐次性,结合上述非线性元件的方框图,推导出列写非线性网络的二阶和三阶传递函数的方框图,从而求出传递函数的表达式。
短句来源
    This paper presents a simple method of giving a fundamental systemof linear homogeneous systems.
    本文给出了刊用分块矩阵得出齐次线性方程组基础解系的简单方法。
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  homogeneous systems
As an application of the generalized result, and under more weak conditions we obtain a result of Furta [8] about local first integrals of semi-quasi-homogeneous systems.
      
Three-dimensional (3-D) computer simulations of the coarsening have been performed for elastically homogeneous systems with tetragonal misfit strain and elastically heterogeneous systems with dilatational misfit strain.
      
Heterogeneous systems have the potential to achieve enhanced performance as well as cost-effectiveness over homogeneous systems when the application domain is known since they can match the problem structure more closely.
      
To allow direct comparisons with algorithms from the applied mathematics and computer vision communities, we consider both inhomogeneous and homogeneous systems.
      
First, those derived from supported carbonylate clusters-nanocatalysts and second, those produced from the heterogenization of known chiral homogeneous systems.
      
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The dependence of the entropy of a homogeneous system on the composition is investigated with the help of a reversible adiabatic process which allows the change of composition by means of a semipermeable wall. The conditions of equilibrinm for phase transition and for homogeneous chemical reaction are derived in a new way. Next the criterion of minimum energy for constant entropy and volume is derived from the principle of increase of entropy. This criterion is then applied to obtain the conditions...

The dependence of the entropy of a homogeneous system on the composition is investigated with the help of a reversible adiabatic process which allows the change of composition by means of a semipermeable wall. The conditions of equilibrinm for phase transition and for homogeneous chemical reaction are derived in a new way. Next the criterion of minimum energy for constant entropy and volume is derived from the principle of increase of entropy. This criterion is then applied to obtain the conditions of equilibrium and stability with the help of Lagrange's multipliers. The conditions of stability are expressed in several alternative forms. Next the equilibrium properties of a binary system arc considered, and some types of phase diagram are explained by means of equations. The theory is extended to the general heterogeneous equilibrium of a system consisting of any number of independent components. A system of equations for the change of temperature, pressure, and composition are obtained and are solved by means of determinants. Next Planck's theory of a binary solution is extended to a solution consisting of several solnte components, with the same conclusion regarding the lowering of freezing point as for a binary solution. Finally Planck's theory on the number of coexisting phases for aone-component system is extended to a system consisting of k components with the result that a state with, σ coexisting phases is more stable than one with σ-1 phases: where σ is an integer not greater than k + 2.

本文首述如何应用一半渗透之壁使一物体所包含各种分子之数改变,因之决定此物体之熵与其各种分子数之关系,由此关系极易推出一物体在改变其形态时,如汽化凝结等,所应适合之平衡条件。且若形态不变,而发生内部化学作用时,其平衡条件亦易推得。 次述如何由熵之增加原理推出能量最小之法则,然後应用此法则,辅以拉革兰氏之不定乘子,以求得一物体之普遍平衡与稳定之条件。其稳定之条件且以各种不同之形式表示之。 继讨论二元物体在平衡时之性质,随之以多元物体之性质,求得一组方程式以决定当此物体之性质改变时,其温度压力及各种分子之数如何改变。曾特别注意及溶液之性质,对於融点之降低与沸点之升高有一普遍之证明。 最後推广卜朗克氏关於并存形态之理论於多元物体,得与卜氏相似之结论。

On the basis of the Oregonator model, we took the rate constant k6, the stoichio-metric coefficient f and the wave number k as the parameters to study the stability of the BZ reaction system. The expressions of the following physical quantities were obtained, they included: the critical rate constant k6c of the space periodic structure, its short-wavelength critical wave number ksc and long-wavelength critical wave number kLc; the critical rate constant k 6c of time-space periodic structure and its critical...

On the basis of the Oregonator model, we took the rate constant k6, the stoichio-metric coefficient f and the wave number k as the parameters to study the stability of the BZ reaction system. The expressions of the following physical quantities were obtained, they included: the critical rate constant k6c of the space periodic structure, its short-wavelength critical wave number ksc and long-wavelength critical wave number kLc; the critical rate constant k 6c of time-space periodic structure and its critical wave number kc (kc = kLc ). Then we worked out the critical frequency λc of BZ reaction system and analyzed the near-by critical state behavior of the system, whereby we obtained the trigger wave velocity ur and phave wave velocity up. We came to the conclusion that, under certain conditions, the near-by critical state of unstirred BZ reaction system may exhibit a stable wave group, or, a wave packet.. The trigger wave is a wave packet in the homogeneous system and the phase wave is a wave packet in the inhomogeneous one with a slight gradient. We have got that (uT=2ηDkc, where D is the diffusion coefficient of HBr02,η changes slowly with [H+] (to the extent of experimental observation, η≈ 0.1), and UP = v, where v is the phase velocity.

我们在Oregonator模型的基础上,取速率常数k_6、理想配比系数f及波数k为参变量,首先讨论了B-Z反应体系的稳定性,并得到了下列各量的表达式:空间周期结构的临界速率常数k_6~c、短波临界波数k_s~c与长波临界波数k_L~c,时空周期结构的临界速率常数k_6~c及临界波数k_c等。而后,我们给出了B-Z反应体系的临界频率λ_c,讨论了体系在临界状态附近的行为, 并得到了触发波速度u_T及相位波速度u_P的表达式。本文的结论是,在一定条件下,不搅拌的B-Z反应体系能在临界状态附近呈现稳定的波群或者波包,触发波是均匀体系中的波包,相位波是有微小梯度的非均匀体系中的波包。u_T=2ηDk_c,D为HBrO_2的扩散系数,η为[H~+]的缓变函数(在实验观测范围内,η≈0.1);u_P=v,v为相速度。

In this paper we provide a conception of the Eigen value of the nonlinear operator of the dimensional homogeneous Systems and make a theorem.

本文将高维线性算子本征值概念扩张为高维n次齐次系统非线性算子本征值,当维数为2时[1]已有论述现取消2维限制得出一个定理为考察高维定性提供一个新途径。兹将主定理摘录如下:

 
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