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。

Singer Leona Lewis and former Led Zeppelin guitarist Jimmy Page emerged as the bus transformed into a grass-covered carnival float, and the pair combined for a rendition of "Whole Lotta Love".

歌手leona刘易斯和前率领的飞艇的吉他手吉米页出现巴士转化为基层所涵盖的嘉年华花车，和一双合并为一移交&整个lotta爱&。

This is Kate, and that's Erin.

这是凯特，那个是爱朗。