bijection
/baɪˈd͡ʒɛk.ʃən/
Word Rarity
Very rare
Frequency: Zipf frequency 1.75 in modern English
20
Scrabble Score
9
Letters
3
Syllables
8
Unique Chars
Meaning
noun
A one-to-one correspondence, a function which is both a surjection and an injection.
Example Sentences
- "The present text has defined a set to be finite if and only if there exists a bijection onto a natural number, and infinite if and only if there does not exist any such bijection."
- "Note in particular that a function is a bijection if and only if it's both an injection and a surjection."
- "The basic idea is that two sets A and B have the same cardinality if there is a bijection from A to B. Since the domain and range of the bijection is not relevant here, we often refer to a bijection from A to B as a bijection between the sets, or a one-to-one correspondence between the elements of the sets."
Etymology
PIE word *dwóh₁ From French bijection, introduced by Nicolas Bourbaki in their treatise Éléments de mathématique.
Origin
- Source language: French
Word Breakdown
- Root: bijection