লক্ষ্য করুন: এই এন্ট্রির অনুবাদ বর্তমানে মান পর্যালোচনার অধীনে রয়েছে, তাই কিছু বিষয়বস্তু সাময়িকভাবে শুধুমাত্র ইংরেজিতে প্রদর্শিত হচ্ছে।
এই এন্ট্রিটি এখনও আপনার ভাষায় অনুবাদ করা হয়নি, তাই নিচে মূল লেখাটি দেখানো হচ্ছে।
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.
Meanings
Examples
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.