surjective
/(ˌ)sər-ˈjek-tiv/ (ame, mw)
surjective — 形容詞
- surjectivepositive
- more surjectivecomparative
- most surjectivesuperlative
1. relating to a mathematical rule or mapping where every value in the set of possi
滿射的
對應域每個值都有輸入值對應
relating to a mathematical rule or mapping where every value in the set of possible outputs is actually reached by at least one input value — the function's range covers its entire target set without gaps.
Professor Jason proved that f(x)=2x from integers to even integers is surjective.
Jason 教授證明 f(x)=2x 從整數到偶數是滿射的。
prove + that-clause + is surjective for logical deduction
On the final exam, Lucía had to identify which of five functions were surjective.
期末考時，Lucía 必須判斷五個函數中哪些是滿射函數。
Hamza drew a simple arrow diagram to show a surjective mapping between two small sets.
Hamza 畫了一個簡單的箭頭圖來說明兩個小集合間的滿射對應關係。
Hannah's math textbook explained that surjective functions are also called onto functions.
Hannah 的數學課本解釋說，滿射函數也稱為映成函數。
A mapping between finite sets can be surjective even when the sets differ in size.
有限集合之間的對應即使集合大小不同，仍可能是滿射的。
- onto
more common in introductory courses and less formal math writing; identical meaning
文法句型
function + be + surjective
surjective + function
用法筆記
Commonly taught alongside injective (one-to-one) and bijective (both properties). In introductory textbooks the synonym 'onto' is more frequent. Predicative use ('the function is surjective') and attributive use ('a surjective function') are equally natural.