adjective

surjective

suh-JEK-tiv

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Surjective (adjective) means In mathematics, describes a function whose entire output set is covered, so every element in it is reached by at least one element from the input. Example: “The function is surjective because every value in the target set is hit by at least one input.”

adjective

technical In mathematics, describes a function whose entire output set is covered, so every element in it is reached by at least one element from the input.

"The function is surjective because every value in the target set is hit by at least one input."

"A map that is both injective and surjective is called bijective."

"To prove a function is surjective, you show that no element of the target set is left unmapped."

How to use surjective

Learner’s notes

In plain EnglishA surjective function is one where nothing in the output set gets missed.

When to use it

This is a technical mathematical term used almost exclusively in formal or academic contexts.

Memory tip

Remember surjective is about the output being fully covered, not about inputs matching one-to-one.

Easily confused with

injective bijective

Common pairings

surjective function surjective map not surjective

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C2 · Advanced serendipity Fortunate discoveries made entirely by accident.

Gen Z slang rizz Charm — the ability to attract a romantic interest.

B2 · Intermediate empathy The capacity to share another person’s feelings.

C1 · Advanced nonchalant Casually calm and relaxed; unconcerned.

Internet slang delulu Delusional — believing something against the odds.

Etymology nostalgia Greek nostos “return home” + algos “pain”.

C2 · Advanced serendipity Fortunate discoveries made entirely by accident.

Gen Z slang rizz Charm — the ability to attract a romantic interest.

B2 · Intermediate empathy The capacity to share another person’s feelings.

C1 · Advanced nonchalant Casually calm and relaxed; unconcerned.

Internet slang delulu Delusional — believing something against the odds.

Etymology nostalgia Greek nostos “return home” + algos “pain”.

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Fill the gap

Can you complete this real example?

The function is _____ because every value in the target set is hit by at least one input.

Synonyms

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onto

Related words

into onto

Rhymes for surjective

five give dive live olive drive alive dative endive strive derive active

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Frequently asked questions

What does surjective mean in maths?

It describes a function where every element of the output set is produced by at least one element of the input set.

What is the difference between surjective and injective?

Surjective means every output value is reached by some input, while injective means no two different inputs give the same output; a function that is both is called bijective.

Is there another word for surjective?

Yes, mathematicians also call it onto.

What is the meaning of surjective?

"surjective" (adjective) means in mathematics, describes a function whose entire output set is covered, so every element in it is reached by at least one element from the input.

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