实数域 meaning in English

field of real numbers
real number field

On the canonical forms for matrices over real numbers
关于实数域上矩阵的相似标准形
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 ( z ) )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。
The proposed function has same properties just as the ones of paper [ 1 ] , unifies the forms when the intervals have common endpoint or not , avoids the impact of the level and dimension of values and make the extension analysis be more objective , is continuous for all real field but the common one , gets the maximum value at the midpoint , and has more applicability
该初等关联函数具有与文[ 1 ]初等关联函数相似的性质，且统一了有公共端点和无公共端点区间类型，能消除量级和量纲的影响，使得可拓优度评价结果更客观，在除了公共端点外的全体实数域内连续且在中点取得最大值，并有更宽的适用范围。