作业帮【英语文献】【数学专业】【性质定义】跪求高人!
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【英语文献】【数学专业】【性质定义】跪求高人!
Properties in mathematics
In mathematical terminology, a property p defined for all elements of a set X is usually defined as a function p: X → {true, false}, that is true whenever the property holds; or equivalently, as the subset of X for which p holds; i.e. the set {x| p(x) = true}; p is its indicator function. It may be objected (see above) that this defines merely the extension of a property, and says nothing about what causes the property to hold for exactly those values.
Properties in mathematics
In mathematical terminology, a property p defined for all elements of a set X is usually defined as a function p: X → {true, false}, that is true whenever the property holds; or equivalently, as the subset of X for which p holds; i.e. the set {x| p(x) = true}; p is its indicator function. It may be objected (see above) that this defines merely the extension of a property, and says nothing about what causes the property to hold for exactly those values.
数学属性
在数学术语中,集合X中所有元素的属性p通常定义为函数 p: X → {真,假}, 每当属性取值时就为真；或者等价地,相应于X子集的p的取值；也就是说,集合 {x| p(x) = 真};p是其指示函数.也许有人不同意（见上面）这仅仅定义了属性的扩展,但并为说明什么情况下属性会取到那些值.
不容易理解.也许翻译得不准确,不过我想差距不会很大吧.
在数学术语中,集合X中所有元素的属性p通常定义为函数 p: X → {真,假}, 每当属性取值时就为真；或者等价地,相应于X子集的p的取值；也就是说,集合 {x| p(x) = 真};p是其指示函数.也许有人不同意（见上面）这仅仅定义了属性的扩展,但并为说明什么情况下属性会取到那些值.
不容易理解.也许翻译得不准确,不过我想差距不会很大吧.