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initial conditions     
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  初始条件
     We investigated this phenomenon by defining a general Fibonacci superlattice as S j =S mj-1 S kj-2 ,with the initial conditions of S 1 =B,S 2 =A n 1 B n 2 .By introducing the definition of deflation rule as AB→A,B→B,a general two-component Fibonacci superlattice is expanded into a series of superlattices.
     定义广义Fibonacci光学超晶格为 :Sj=Smj- 1Skj- 2 ,其初始条件为 :S1=B ,S2 =An1Bn2 .定义缩并规则为AB→A ,B→B ,通过连续缩并 ,一个广义二组元Fibonacci超晶格可以扩展为一系列超晶格 .
短句来源
     Iterative Learning Control of Discrete-time System with Variable Initial Conditions Based on 2-D System Theory
     基于2-D系统理论的变初始条件离散系统的迭代学习控制(英文)
短句来源
     By means of Schauder's fixed theorem, the paper deals with the behavior and existence of strong solutions to the second order functional iterative equation x″(t)=f(x(x(t))) and the existence of maximum strong solutions to the equation satisfying the initial conditions x(σ)=σ and \%x′(σ)=0 for any σ∈R .
     利用 Schauder不动点定理 ,研究一类二阶自治迭代泛函微分方程 x″( t) =f( x( x( t) ) )强解的性态及满足初始条件 :x′( σ) =0 ,x( σ) =σ的 Cauchy问题饱和强解的存在性 .
短句来源
     Then the response of corresponding holonomic systems with random initial conditions are studied and the restrictions of nonholonomic constraints given.
     其次研究相应完整系统在随机初始条件下的响应,并施加非完整约束的限制而得到非完整系统解过程的统计特性;
短句来源
     Chaos is sensitive to initial conditions and parameters.
     混沌对初始条件和参数具有敏感依赖性。
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  初始状态
     The effects of different cooling rates and the same initial conditions during solidification process of Ga has been studied by the molecular dynamics method.
     采用分子动力学方法对Ga在相同初始状态下以不同速度冷却的凝固过程中进行了模拟研究。
短句来源
     The behaviors of sedimentation of a single dumbbell-likep particle in different Reynolds numbers and in the different initial conditions were both included in the research.
     研究哑铃形粒子在不同雷诺数和不同初始状态以及不同初始释放位置下的沉降性质,并将模拟结果和实验结果进行了对比,检验了数值方法的合理性;
短句来源
     Any cultural tradition can be ascribed to the material life. Therefore the emergence and development of the culture of science and technology can be traced back to the initial conditions of geography and climate , viewed as the factor of internal fluctuation from the sensitiveness of the random choices of the cognitive subject to the initial conditions.
     对于任何思想文化传统而言,其形成和延续都有其现实的物质生活的根源,因而,对于科技文化的产生和发展,我们能够返回到其发生的原点——即地理气候等初始条件,从认知主体的随机性选择对初始状态的敏感性方面,视其为科技文化产生的内涨落因素,考察其对科技文化形成的影响;
短句来源
     A SIMULATION STUDY FOR THE EFFECTS OF INITIAL CONDITIONS OF LIQUID METALS ON SOLIDIFICATION MICROSTRUCTURES
     液态金属的初始状态对凝固微结构影响的模拟研究
短句来源
     In the view of PAPR in OFDM system,using envelope of instantaneous power,a rule to PAPR Reduction was studied in this paper,which was based on barycenter of initial conditions vector.
     本文针对OFDM信号的峰值平均功率比(PAPR)问题,从瞬时功率包络出发,基于初始状态矢量的重心,得到了一种降低PAPK的OFDM子载波初始状态分布的规律.仿真结果表明,采用新的初始状态分布规律,OFDM信号PAPK大幅度降低;
短句来源
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  初始值
     It is mainly used to confirm the topologic structure and 0 + initial conditions of the switched networks, and any approximate is not needed.
     它不需作任何近似 ,主要应用于确定开关网络的拓扑结构和 0 +初始值 .
短句来源
     Adopted the model, the switched networks can be analyzed in time-domain with nodal approach and the case of inconsistent initial conditions resulted from the ideal switch model can be avoided.
     利用这种模型,可用结点法对电路进行时域分析,避免了由理想开关模型引起的不连续初始值求解的困难,保留了理想开关模型的优点,与计及开关通断电阻的模型相比,极大地减少了计算时间.
短句来源
     We can obtain the solution to electromagnetic problem step by step anddescribe the field configuration with boundary and initial conditions.
     只要将电磁问题的初始值及边界条件代入有限差分方程中,我们就可以逐步推进地求解出电磁场的时间和空间分布。
短句来源
     The sensitivity to the change of initial conditions and the complexity of chaotic dynamics make the research on chaotic control challenging. Nowadays, chaotic control and synchronization become a new researching focus in nonlinear science.
     由于混沌系统所固有的系统输出对状态初始值的敏感性以及混沌现象的复杂性,使得混沌控制、同步的理论的研究更具有挑战性,也使得这一领域的研究和发展成为当代非线性科学的研究热点。
短句来源
     The simulation results show that the synchronization of two chaotic systems with different initial conditions can be established un-der the condition that the parameters driven are chosen properly.
     结果表明,两个混沌系统在初始值不同的情况下,通过参数变量驱动可以有效地实现同步。
短句来源
更多       
  初值条件
     This paper deals with positive solutions of a degenerate parabolic system: u t= Δ u m+ v p ln α(h+u), v t= Δ v n+u q ln β(h+v) with homogeneous Dirichlet boundary conditions and positive initial conditions.
     研究了一个具有齐次Dirichlet边界条件以及正的初值条件的退化抛物型方程组 :ut=Δum +vplnα(h +u) ,vt=Δvn+uqlnβ(h +v) .
短句来源
     We now know from [6] that when p < 1 + 4/n, the solution ofSchrodinger equations globally exists in H1(Rn), while p≥1 + 4/n, there only exists local solution and that under some appropriate initial conditions the solution may even blow up.
     当p<1+4/n时,方程在H~1(R~n)中有整体解,而当p≥1+4/n时,有局部解存在并且在适当的初值条件下存在解的爆破。
短句来源
     By using the compactness theorem, the existence of the local periodic solution of the Boussinesq systems of equations is proved and so is the uniqueness of the solution. By increasing the regularity of the initial conditions, the existence of the classical solution is proven too. The error estimates of the Fourier spectral method is presented.
     引入Fourier谱方法逼近来解决Bousinesq方程组周期初值问题局部广义解和古典解的存在唯一性问题.在给出了Fourier谱方法逼近解的估计后,利用紧致性原理得到了Bousinesq方程组周期初值问题局部广义解和古典解的存在性和唯一性.进一步加强初值条件的光滑性,得出了古典解的存在性.最后,给出了Fouricr谱方法的误差估计.
短句来源
     The resonant responses for general initial conditions are found being accompanied by long beats in the undamped systems and by long transient in the weakly-damped systems.
     在一般初值条件下,无阻尼系统的共振响应含一长拍,弱阻尼系统的共振响应有一长过渡过程.
短句来源
     In this paper, two kinds of initial conditions are listed for the simulation of dynamic response of nonlinear elastic materials according to this method, and the oscillations of stress wave in laminated materials are researched.
     本文中给出两种常见的初值条件 ,并利用该方法模拟了非线性弹性材料的动态响应 ,研究了波在该层合材料中的振荡现象
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      initial conditions
    This article concerns the stability of orthogonal bases of solutions of Sturm-Liouville equations with different types of initial conditions.
          
    As an example, the safe basins on the rolling initial value plane were constructed for a 30.27-meter-long fishing vessel according to different initial conditions and random wave parameters.
          
    For the initial conditions from this domain, the system is guaranteed to hit a trajectory with given index of exponential stability.
          
    The initial conditions that generate observable vibrations are found in the explicit form.
          
    Additionally, the nature of the transients depends on the initial conditions.
          
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    The problem of investigating the vibration properties of continuous girders on elastic piers frequently occurs in practical design work. An approximate method of attack is to replace the elastic pier by a spring support. This method simplifies greatly the analysis and is generally adopted in practice. In the first part of this paper, this approximate method is investigated in detail and complete solutions including the effect of initial conditions are given. The computations are made more systematic and...

    The problem of investigating the vibration properties of continuous girders on elastic piers frequently occurs in practical design work. An approximate method of attack is to replace the elastic pier by a spring support. This method simplifies greatly the analysis and is generally adopted in practice. In the first part of this paper, this approximate method is investigated in detail and complete solutions including the effect of initial conditions are given. The computations are made more systematic and simple by the adoption of a system of constants defined as the dynamic shape constants and load constants of the structure. In the second part of this paper, the more accurate method of analysis is investigated. The exact frequency equations of the system are obtained by writing down the dynamic equations of the girders and the piers simultaneously and the boundary conditions are taken into consideration. It is shown that by taking only the fist one or two terms of the series expansions, the exact frequency equation reduces to the approximate one. It is concluded that the approximate method will give adequate solutions in the case when the piers are rigid and when only the lower frequencies of the natural mode need be considered. Particular solutions of structures under transverse vibrations are worked out and is found more involved than that given by the approximate method.

    本文所謂架空結構是指搁置在較高的支墩上的連續梁結構,例如高架橋梁或水電站的架空輸水管道等。這類結構在承受震動荷載(例如地震)時,常會引起較大的變形和应力。如支墩較粗矮,則在計算較低的頻率時,其作用可近似的以一彈簧支座代替之,而忽略支墩本身的結構震動影響。這是一個常用的假定,可以使計算工作充分簡化。本文首先對這一情况作了詳盡討論,給出较完整的解答,包括起始條件影響在内,並提出用“載常數”及“形常數”的觀念來進行計算。然后本文給出考虑支墩的震動影響時的精確解答,分別就縱横方向的震動進行討論,並指出近似計算公式和精確公式间的關係,近似公式只能在支墩較剛固和計算较低階的頻率時才適用。文中列出了結構作横向諧和震動時的特別解答,可見其計算工作量將比近似法增加不少。

    The present paper consists mainly of three parts. In the first part, the differential equations of the curves of the vectorial diagramfor the undamped and damped forced vibrations of the system with one degreeof freedom have been derived in rectangular coordinates and in polar coordinates.The corresponding initial conditions are also given. The second part deals with the application of these differential equations. In the last part, having discussed in detail the general characteristics of thevectorial...

    The present paper consists mainly of three parts. In the first part, the differential equations of the curves of the vectorial diagramfor the undamped and damped forced vibrations of the system with one degreeof freedom have been derived in rectangular coordinates and in polar coordinates.The corresponding initial conditions are also given. The second part deals with the application of these differential equations. In the last part, having discussed in detail the general characteristics of thevectorial diagram, the author demonstrated some mutual relations between thegraphical method given here and that by Professor Rabinovich (И.М.Рабинович).

    本文主要由三个部分所组成。 在第一部分里,导演出单自由度系统,无阻尼和阻尼强迫振动矢量图曲线之微分方程式(直角坐标与极坐标二情形),并给出相应的起始条件。 第二部分阐述一般矢量图曲线微分方程式之应用,并列举了例题。 最后部分,作者比较详尽地研讨了强迫振动矢量图之一般性质,与苏联拉宾诺维奇(И.М.Рабинович)教授的单自由度系统强迫振动矢量图作了一些比较,并论述了作者所提出的矢量图与拉宾诺维奇矢量图二者间的相互关系。

    While applying Laplace transformation method to dynamic or transient analysis of linear systems, in order to simplify the mathematical operation it is very important to select suitable lower limit of the direct transform integral. Only when the lower limit of the integral is properly selected, can the given initial conditions or the obvious zero initial conditions of increments of responses be used directly. And the solution so obtained will contain whole transient including jumps(if they do...

    While applying Laplace transformation method to dynamic or transient analysis of linear systems, in order to simplify the mathematical operation it is very important to select suitable lower limit of the direct transform integral. Only when the lower limit of the integral is properly selected, can the given initial conditions or the obvious zero initial conditions of increments of responses be used directly. And the solution so obtained will contain whole transient including jumps(if they do occur), thus we do take full the advantages of Laplace transformation method. In this paper, the problems concerning selec- ting of the above mentioned lower limit of the integral and adoptions of obvious initial conditions are discussed in detail and illustrated with simple examples.

    在运用拉普拉斯交换法研究线性系统的动态或过渡过程时,为了简化数学运算,恰当地选择正变换积分的下限是很重要的。只有妥当地选择积分下限,才能直接运用给定的起始条件或增量的显易零起始条件,而所得解答则能反映包括跳跃(如果发生的话)在内的整个运动过程,从而充分利用了拉普拉斯交换法的优点。本文详细论述了拉普拉斯变换法中正交换定义积分下限的选择和显易起始条件的运用问题,同时列举了简单的例子来加以说明。

     
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