surjection background

surjection

/sɜː(ɹ).dʒɛk.ʃən/

Illustration surjection - Image 1

noun

满射，盖射

A function that is a many-to-one mapping; (formally) Any function f: X\rightarrow Y for which for every y \in Y, there is at least one x \in X such that f(x) = y.

Examples :

"In the classroom, the function mapping each student's name to their assigned seat is a surjection because every seat is occupied by at least one student. "

在教室里，把每个学生的名字对应到他们座位的函数是一个满射，因为每个座位上都至少坐了一个学生。