adjoint
/ˈæd͡ʒ.ɔɪnt/
Word Rarity
Very rare
Frequency: 2.31 in modern English
15
Scrabble Score
7
Letters
2
Syllables
7
Unique Chars
Meaning
adj
Used in certain contexts, in each case involving a pair of transformations, one of which is, or is analogous to, conjugation (either inner automorphism or complex conjugation).
adj
That is related to another functor by an adjunction.
adj
Having a relationship of the nature of an adjoint (adjoint curve); sharing multiple points with.
noun
The transpose of the cofactor matrix of a given square matrix.
noun
noun
noun
A functor related to another functor by an adjunction.
Example Sentences
- "The sets A + A₀, B + B₀, together, form the complete intersection, with f = 0, of a composite adjoint curve of order m + k, consisting of the adjoint curve of order m through A + B, together with the non-adjoint curve ω = 0; and the set B + B₀ consists of p points, and lies on i + j adjoint φ-curves of f = 0."
- "As we have stated before, a curve f' is adjoint to a curve f if it have at least the multiplicity r#95;i-1 at each point where f has the multiplicity r#95;i. A first polar #92;sum#95;iy#95;i#92;left(#92;partialf#47;#92;partialx#95;i#92;right)#61;0 is an example of an adjoint curve."
- "This imposes n(n - 3)/2 conditions on the n-gon adjoint curve."
- ". Nominated the citizens Fayolles, captain of infantry, and Favery of the Engineers to be my adjoints, and dispatched the letters of nomination to the Minister at War, so now I am fairly afloat."
- "Even as it is, by the reckless aggregation of machine-workers and their adjoints in the great cities and the manufacturing districts, it has kept down life amongst us, and keeps it down to a miserably low standard; so low that any standpoint for improvement is hard to think of even."
- "The chef and his adjoints are seen by this code as part of the military, subject to military jurisdiction despite their obligation to execute the orders of the administrative council and of the justice of the peace."
Etymology
From French adjoindre (“to join”), from late 19th C; see also adjoin. Doublet of adjunct. In the case of category theory (which brings together concepts from numerous fields), the term is often confounded with adjunct and the relationship is called an adjunction. The origin of any particular usage may therefore be uncertain.
Origin
- Source language: French
Word Breakdown
- Root: adjoindre
Inflected Forms
Derived Forms
Phrases
adjoint action
adjoint curve
adjoint endomorphism
adjoint functor
adjoint matrix
adjoint operator
adjoint representation
left adjoint functor