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endomorphism

Advanced (C1/C2)

IPA: /ˌɛndəˈmɔːfɪzəm/

KK: /ɛndəˈmɔrfɪzəm/

noun
Definition

A type of mapping in mathematics where a system or set is transformed into itself.


Example

In algebra, an endomorphism is often used to study the properties of a structure by examining its internal transformations.


Conversation
Sloth A
Have you ever heard of an endomorphism?
Sloth B
I think so, but I’m not entirely sure what it means.
Sloth A
It's a concept in math where something maps into itself, like a set.
Sloth B
That sounds interesting! I should look it up to understand better.

Synonyms & Antonyms
Synonyms
homomorphism
transformation
mapping
Antonyms
exomorphism
dissimilation
displacement
Root Explanation

Endomorphism → It is formed from "endo-" (meaning within) and "morphē" (meaning form or shape). The word describes a transformation that occurs within a particular structure or space.

Memory Tip

Think of 'endo-' meaning 'within' and 'morphē' meaning 'form' — this helps you remember that an endomorphism is a transformation that happens within a specific form.

Visually Confused Words
pedomorphism
paedomorphism
neomorphism
exomorphism
pseudomorphism
theomorphism
pleomorphism
monomorphism
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