查询词典 unitarily equivalent representation

This paper,using the method of differential equation,proves some characters properties of basic elementary function ,and then concludes an equivalent representation about basic elementary function .

运用微积分的方法，对基本初等函数的若干特征性质进行了证明，从而给出了基本初等函数的等价表征。

The equivalent representation of rectifier bridge and automatic voltage regulator is also provided.

文中对整流桥和自动励磁调节器的模型也作了介绍。

Using the equivalent condition under which the limit of a sequence of fuzzy numbers exists in the sense of level convergence, we analyze the structure of the level continuous fuzzy number valued function. On the basis of it, we prove the level continuous fuzzy number valued function on a closed interval exists supremum and infimum and give the precise representation.

利用模糊数序列水平收敛意义下极限存在的充要条件，在分析了水平连续函数结构特点的基础上，证明了闭区间上水平连续的模糊数值函数存在上、下确界，并给出了上、下确界的具体表达式。

Conversion from decimal to its equivalent representation in the radix r system is carried out by separating the number into its integer and fraction parts and converting each part separately.

把数分成整数和小数部分，然后分别转换各部分，便可将十进制数转换成基数计数制下对应的数。

Solving algorithm of minimum schema matrix relatived to equivalent representation of functional dependency based on schema matrix is discussed.

进而讨论了与函数依赖集等价表示相关的最小模式矩阵求解算法。

The spread paths of common mode and differential mode noises in an SMPS under electrical fast transient/burst are studied and discussed. Hereby for single transient pulse, the vector fitting method is adopted combining rational function approximation according to the tested waveform to construct the a mathematical modeling of frequency, then a pole-residue representation is obtained by partial fraction expansion, and the last step are to draw a state space description and equivalent circuit.

在分析开关电源进行电快速瞬变脉冲群骚扰试验时共模和差模噪声的传播途径的基础上，对于单个脉冲，根据试验数据采用矢量匹配法结合有理函数逼近构造得到频域下的数学模型，通过部分分式展开得到零极点表达式，并最终得到相应的状态空间方程以及等效电路。

A new method that transforms bitlevel waveform polynomial to word-level polynomial model is given, allowing for simple composition This method offers an efficient way to determine whether two descriptions from different design levels are equivalent, so component reuse, synthesis and verification across design levels can be realized. In addition, an experimental system using C language is established, including modules such as representation of waveform polynomial, decision of path senstization, delay computing, clocking based on single-period sensitization, clocking based on multi-period sensitization, test generation considering noise and transformation from bit-level waveform polynomial to word-level polynomial model. They respectively used to test models and techniques proposed in this paper.

另外，基于C语言本人设计开发了一个实验软件系统，该系统包括波形多项式表示模块、敏化通路判定模块、延时计算模块、单周期敏化的最小时钟周期精确确定模块、多周期敏化的最小时钟周期确定方法模块、考虑噪声的测试生成模块和位级波形多项式描述转化成字级多项式描述模块，分别用于对本文各章中提出的自动化设计的模型和方法进行实验验证。

Inspired by Chans double series representation formula of_∞~(10), the author constructs a new difference equation on quintuple products, which leads to clarification on the four symmetric differences that are equivalent in pairs.

受Chan得到的_∞~(10)的二重级数表示公式的启发，作者构造一个新的关于五重积的差分公式，并澄清迄今为止所出现的四个对称差恒等式之间成对等价的关系。

To realize reduced equivalent representation for functional dependency set, sameroot row, same-class row and same-class row family are presented, merging rules of same-root row in a schema matrix are defined, merging algorithm of same-root row and solving algorithm of same-class row family in a schema matrix are discussed.

为了实现函数依赖集的最简等价表示，提出了同根行、同类行、同类行族的概念，定义了模式矩阵M中同根行的合并运算规则，讨论了模式矩阵M中同根行合并算法，同类行族求解算法。

A necessary and sufficient condition for the existence of guaranteed cost control is derived. Furthermore, it is shown that this condition is equivalent to the solvability of a system of linear matrix inequalities, and its solution provides a parameterized representation of guaranteed cost controllers. Based on that, the design of the optimal guaranteed cost controller is formulated as a convex optimization problem, which can be solved by the existing convex optimization techniques.

通过采用线性矩阵不等式的方法，导出了存在保性能控制律的一个充要条件，进而，证明了该条件等价於一组线性矩阵不等式的可解性问题，并用这组线性矩阵不等式的可行解给出了保性能控制律的一个参数化表示。

We have limited budget let me know if you can do this competitively.

我们有限的预算让我知道如果你能做到这一点竞争力。

We don't know how other critters breathe--lizards, for example.

我们还不知道诸如蜥蜴之类的动物如何呼吸。