different between join vs adjunction

English

Alternative forms

• joyn, joyne, joyen (obsolete)

Etymology

From Middle English joinen, joynen, joignen, from Old French joindre, juindre, jungre, from Latin iung? (“join, yoke”, verb), from Proto-Indo-European *yewg- (“to join, unite”). Cognate with Old English iucian, iugian, ?eocian, ?y??an (“to join; yoke”). More at yoke.

Pronunciation

• IPA^(key): /?d???n/
• Rhymes: -??n
• Hyphenation: join

Noun

join (plural joins)

1. An intersection of piping or wiring; an interconnect.
2. (computing, databases) An intersection of data in two or more database tables.
3. (computing) The act of joining something, such as a network.
4. (algebra) The lowest upper bound, an operation between pairs of elements in a lattice, denoted by the symbol ?.

Antonyms

• (lowest upper bound): meet

Hyponyms

Derived terms

Translations

Verb

join (third-person singular simple present joins, present participle joining, simple past and past participle joined)

1. (transitive) To connect or combine into one; to put together.

2. (intransitive) To come together; to meet.
3. (transitive) To come into the company of.
4. (transitive) To become a member of.
5. (computing, databases, transitive) To produce an intersection of data in two or more database tables.

6. To unite in marriage.
7. (obsolete, rare) To enjoin upon; to command.
   • 1527 (originally published, quote is from a later edition), William Tyndale, The Obedience of a Christian Man

     They join them penance, as they call it.

8. To accept, or engage in, as a contest.

   (Can we find and add a quotation of Milton to this entry?)

Synonyms

• (to combine more than one item into one): bewed, connect, fay, unite; see also Thesaurus:join

Translations

References

• join on Wikipedia.Wikipedia

Anagrams

• Nijo

Dalmatian

Alternative forms

• yoin

Etymology

From Latin ?nus.

Pronunciation

• IPA^(key): /join/

Numeral

join (plural joina)

1. one

Finnish

Etymology 1

Verb

join

1. first-person singular indicative past of juoda

Etymology 2

Noun

join

1. instructive plural of joki

Anagrams

• Joni, ojin

English

Etymology

From Latin adjunctio, from adjungere: compare French adjonction, and see adjunct.

Noun

adjunction (countable and uncountable, plural adjunctions)

1. The act of joining; the thing joined or added.
2. (law) The joining of personal property owned by one to that owned by another.
3. (category theory) Given a pair of categories ${\displaystyle {\mathcal {C}}}$ and ${\displaystyle {\mathcal {D}}}$: an anti-parallel pair of functors ${\displaystyle F:{\mathcal {C}}\rightarrow {\mathcal {D}}}$ and ${\displaystyle G:{\mathcal {D}}\rightarrow {\mathcal {C}}}$ and a natural transformation ${\displaystyle \eta :{\mbox{id}}_{C}\rightarrow GF}$ called “unit” such that for any object ${\displaystyle A\in {\mathcal {C}}}$, for any object ${\displaystyle B\in {\mathcal {D}}}$, and for any morphism ${\displaystyle f:A\rightarrow GB}$, there is a unique morphism ${\displaystyle g:FA\rightarrow B}$ such that ${\displaystyle Gg\circ \eta _{A}=f}$. (Note: there is another natural transformation called “counit” as well but its existence may be derived by theorem.) The pair of functors express a similarity between the pair of categories which is weaker than that of an equivalence of categories.

   Hyponyms: equivalence of categories, isomorphism of categories, Galois connection

   Meronyms: adjoint, left adjoint, right adjoint

Translations

References