查询词典 field of real numbers

The computable numbers form a real closed field and can be used in the place of real numbers for many, but not all, mathematical purposes.

在可计算数形成一个真正的封闭领域，可用于取代真正的数字对许多人来说，但并非所有数学的目的。

The controllability and observability of a system over F always means the controllability and observability of the system over the field R of real numbers.

一个F上的系统是能控能观的，即结构能控能观的，则意味着实数域上该系统实际上总是能控能观的。

And we know by study, so long as system is controllable and observable at the structure over the field F(z of the rational functions in multi-parameters, it is always controllable and observable over the field R of real numbers.

通过研究我们知道，一个系统只要在结构上多元有理函数域(F上是能控能观的，则意味着实数域上该系统实际上总是能控能观的。

Now the controllability theory in linear systems over the field R of real numbers has been heavily studied. This theory is efficacious for analyzing the characters which are determined by the value of physical parameters and system structure, nevertheless a practical system has a definite structure and has approximate, even unknown parameter sometimes because of a limit to experiment conditions, or a limit to making technology, the errors of observation. It is inconvenience for a linear system over the field R of real numbers to analyze the structure characters of a physical system, such as structural controllability.

目前，实数域上的系统的完全能控性理论研究已经很成熟了，它用于分析系统结构和物理参量的值共同决定的那些性能是有效的，然而，在工程中，由于实验条件或者制造工艺上的限制和观测上的误差，以及人为地对数据的近似处理，一个实际系统往往其结构是确定的，而参数只是近似的甚至未知的，实数域上的系统不便于分析物理系统的结构性质，如结构能控性。

The five characteristics of the system are exploiting the ordered decomposition of problems in the structure of networks; using the Hasse graph to map the transfer network to the field of real numbers homomorphically; distinguishing the production rules as strong rules and weak rules; using the method of scheduling among stations to balance the search by weak rules in every station; searching in the best-first way both in the large and in the small, but with the different aims respectively, which can be regarded as a BF′-BF strategy in which the macro guides the micro.

该系统有五个特点：利用了一种网络结构的有序分解；采用Hasse图将中转站网络同态地映射到实数域上；将产生式规则区分为强规则和弱规则；采用站间调度的方法系统地平衡了各站弱规则的搜索；全局和局部都为最佳优搜索，只是目标指向不一样，是一种宏观引导微观的BF′-BF混合策略。

The rigorous study of real numbers and functions of a real variable is known as real analysis , with complex analysis the equivalent field for the complex numbers .

严格的研究实数和实变量函数被称为实分析，复分析与复数的类似领域。泛函分析的重点是函数空间。分析的功能之一是许多应用量子力学。

Images taken from the real wheat field (3～5 leaves seedling stage and within the different numbers of crop row) were used to test the novel solution of weed detection in the laboratory.

在实验室内利用实地采集的3～5叶期、不同作物行数的麦田图像对该方法进行了测试。

With Death guitarist Schuldiner adopting vocal duties, the band made a major impact on the scene.

随着死亡的吉他手Schuldiner接受主唱的职务，乐队在现实中树立了重要的影响。

But he could still end up breakfasting on Swiss-government issue muesli because all six are accused of nicking around 45 million pounds they should have paid to FIFA.

不过他最后仍有可能沦为瑞士政府&议事餐桌&上的一道早餐，因为这所有六个人都被指控把本应支付给国际足联的大约4500万英镑骗了个精光。