查询词典 boundedness

The results show that Cauchy's criterion for convergence, sign theorem, and boundedness theorems are kept.

结果表明，柯西收敛准则、符号定理和有界定理仍然成立。我们的结果推广了经典复分析中的已知结论。

It describes the characteristics of motion to the dynamic system of excavators. The strange attractor gets directly describe and has three importance characters, i. e. chattiness, boundedness and arrangement.

并且从几何上描述了挖掘机动力系统的运动规律，对系统的奇怪吸引子进行了直观刻画，发现其具有三个重要特点：即混乱性、有界性和层次性。

Theorem 1 (Boundedness and max-min theorem) If is a continuous function on a closed interval, then has an absolute maximum and an absolute minimum on the interval.

定理 1 (有界性与最大值最小值定理)在闭区间上连续的函数在该区间上有界且一定能取得它的最大值和最小值。

This thesis is mainly about to discuss the commutativity and the algebra properties of dual Toeplitz operators, and to prove the boundedness and compactness of products of Hankel operators in the several complex variables.

本文主要研究的是多变量的对偶Toeplitz算子的交换性和代数性质，以及Hankel算子乘积的有界性和紧性。

By constructing a Lyapunov-Krasovskii-like composite energy function, we prove the boundedness of all signals and the convergence of tracking error.

通过构造一个Lyapunov-Krasovskii型复合能量函数证明了所有信号有界并且跟踪误差收敛。

Composite function is one of the important objects of mathematical analysis research,and some of it's analysis natures such as monotony, boundedness, limit,continuity, derivability,integrability are important content in the mathematical analysis,they are also important tool to study other objects in mathematics.

复合函数是数学分析研究的重要对象之一，它的一些分析性质（如单调性，有界性，极限，连续性，可导，可积性）是数学分析中的重要内容，也是研究数学中其它对象的重要工具。

We establish some connections between geometric properties, properties in analysis and analytic properties of the inducing map ψ and operatortheoretic properties of composition operator C〓: f〓fοψ on various analytic function spaces mentioned above, include the boundedness, compactness, weak compactness, collective compactness and the Schatten class operator ideal, etc. Our results extend some previous results, for instance, the Shapiro's Nevanlinna counting function condition and the MacCluer's Carleson measure condition for the compactness of C〓 on Hardy space.

本文建立了D上解析自映射φ：D→D的几何性质、分析性质和解析性质与复合算子C〓：f→foφ在上述各种解析函数空间上的限制的算子性质之间的联系，涉及到复合算子C〓的有界性、紧性、弱紧性、总体紧性及Schatten类算子理想等算子特征，推广了前人的一系列结果，如Shapiro关于C〓的紧性的Nevanlinna计数函数条件，MacCluer关于C〓的紧性的Carleson测度条件等。

Theorem 2 (Boundedness of a Convergent Sequence) If the sequenceis convergent, thenis bounded.

定理 2 如果数列收敛，那么数列必定有界。

Stability in the sense of Lyapunov, boundedness, optimal control and converse theorem about Lyapunov stability of hybrid dynamical systems are four topics studied in this dissertation. This dissertation is arranged in five chapters.

本论文针对具体的混合动态系统关于其不变集的Lyapunov稳定性，混合动态系统的有界性，最优控制以及Lyapunov逆定理等问题进行了研究，论文总共分为五章。

Boundedness of matter is linguistically manifested in the countability of nouns which is usually exhibited in the grammatical restrictions on the usage of articles and inflectional morphemes.

2，事物的有界性表现于名词的可数性，而名词可数性往往表现在与名词相关的语言结构中，如限定词和词素变形等。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。