Lưu ý: Bản dịch của mục này hiện đang được kiểm tra chất lượng, vì vậy một số nội dung tạm thời chỉ hiển thị bằng tiếng Anh.
Mục từ này chưa được dịch sang ngôn ngữ của bạn, vì vậy nội dung gốc được hiển thị bên dưới.
codomain
This term is a technical specification used in mathematics to define the target set of a function. It represents the entire space where the outputs are allowed to land, creating a boundary for the function's potential results. This differs from the range, which consists only of the values that are actually produced by the function.
In a practical sense, the codomain is a prerequisite for defining a function's type. While the range is a subset of the codomain, the codomain itself remains constant regardless of the specific inputs provided, serving as the formal destination set in mapping notation.
Ý nghĩa
Ví dụ
The codomain of this function is the set of all real numbers.
Is the range always a subset of the codomain?
I need to specify the codomain before I can determine if the function is surjective.
The professor explained that the codomain and the range are not necessarily the same.
Let us define the codomain as the set of integers.
Wait, did he say the codomain was the set of complex numbers?
A function is onto if its range equals its codomain.
I keep confusing the domain with the codomain.