【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.
![【英语文献】【数学专业】【性质定义】跪求高人!](/uploads/image/z/17242930-10-0.jpg?t=%E3%80%90%E8%8B%B1%E8%AF%AD%E6%96%87%E7%8C%AE%E3%80%91%E3%80%90%E6%95%B0%E5%AD%A6%E4%B8%93%E4%B8%9A%E3%80%91%E3%80%90%E6%80%A7%E8%B4%A8%E5%AE%9A%E4%B9%89%E3%80%91%E8%B7%AA%E6%B1%82%E9%AB%98%E4%BA%BA%21)
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.