求解：domain和counterdomain在数理统计里分别代表什么含义？
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解决时间 2021-03-27 14:56
- 提问者网友：战魂
- 2021-03-26 21:18
求解：domain和counterdomain在数理统计里分别代表什么含义？
最佳答案
- 五星知识达人网友：野味小生
- 2021-03-26 21:50
数理统计:
(1)DOMAIN: 仅英语含义
"In mathematics, the domain of a given function is the set of "input" values for which the function is defined.[1] For instance, the domain of cosine would be all real numbers, while the domain of the square root would only be numbers greater than or equal to 0 (ignoring complex numbers in both cases). In a representation of a function in a xy Cartesian coordinate system, the domain is represented on the x axis (or abscissa)."
(2) CODOMAIN:仅英语含义
"In mathematics, the codomain or target set of a function is the set Y into which all of the output of the function is constrained to fall. It is the set Y in the notation f: X → Y. The codomain is also sometimes referred to as the range but that term is ambiguous as it may also refer to the image.
The codomain is part of the modern definition of a function f as a triple (X, Y, F), with F a subset of the Cartesian product X × Y. The set of all elements of the form f(x), where x ranges over the elements of the domain X, is called the image of f. In general, the image of a function is a subset of its codomain. Thus, it may not coincide with its codomain. Namely, a function that is not surjective has elements y in its codomain for which the equation f(x) = y does not have a solution."
(1)DOMAIN: 仅英语含义
"In mathematics, the domain of a given function is the set of "input" values for which the function is defined.[1] For instance, the domain of cosine would be all real numbers, while the domain of the square root would only be numbers greater than or equal to 0 (ignoring complex numbers in both cases). In a representation of a function in a xy Cartesian coordinate system, the domain is represented on the x axis (or abscissa)."
(2) CODOMAIN:仅英语含义
"In mathematics, the codomain or target set of a function is the set Y into which all of the output of the function is constrained to fall. It is the set Y in the notation f: X → Y. The codomain is also sometimes referred to as the range but that term is ambiguous as it may also refer to the image.
The codomain is part of the modern definition of a function f as a triple (X, Y, F), with F a subset of the Cartesian product X × Y. The set of all elements of the form f(x), where x ranges over the elements of the domain X, is called the image of f. In general, the image of a function is a subset of its codomain. Thus, it may not coincide with its codomain. Namely, a function that is not surjective has elements y in its codomain for which the equation f(x) = y does not have a solution."
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