Adjunction

Word ADJUNCTION
Character 10
Hyphenation ad junc tion
Pronunciations N/A

Definitions and meanings of "Adjunction"

What do we mean by adjunction?

The act of joining; the thing joined or added.

The joining of personal property owned by one to that owned by another.

Given a pair of categories \mathcal{C} and \mathcal{D}: an anti-parallel pair of functors F:\mathcal{C}\rightarrow \mathcal{D} and G:\mathcal{D}\rightarrow \mathcal{C} and a natural transformation \eta:\mbox{id}_C \rightarrow GF called “unit” such that for any object A \in \mathcal{C}, for any object B \in \mathcal{D}, and for any morphism f:A\rightarrow GB, there is a unique morphism g:FA\rightarrow B such that 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.

Synonyms and Antonyms for Adjunction

  • Synonyms for adjunction
  • Adjunction synonyms not found!!!
  • Antonyms for adjunction
  • Adjunction antonyms not found!

The word "adjunction" in example sentences

The negation operator ¬X can be introduced from the last adjunction. ❋ Marquis, Jean-Pierre (2007)

He half turned his head for a moment and I then perceived that he had become unrecognisable owing to the adjunction to his cheeks of enormous red pockets which prevented him from opening his mouth and his eyes properly, so much so that I stood stupefied not wanting to show that I noticed this sort of anthrax to which it was more becoming that he should allude first. ❋ Unknown (2003)

The adjunction of water at this stage perturbs the ongoing chemical process. ❋ Unknown (1992)

It is therefore impossible that God should belong to a genus as a species of it, since in God there is no adjunction of the potential with the actual. ❋ Unknown (1954)

There were things on what-nots: little photograph-frames, loose photographs, lucky charms, china cups; all shining and bright, thanks to the adjunction of a lady's maid, as Pa called Maud, in his funny way. ❋ J. Andr�� Castaigne (N/A)

It will be at once seen that this arrangement permits of continuing the distribution of electricity to the interior of buildings by the simple adjunction of one or several bobbins. ❋ Various (N/A)

Where this is done in good faith, the product belongs to the artist or labourer with the obligation on his part of indemnifying the owner of the materials. (b) By adjunction, when one's labour and material have been so united with the property of another that they cannot be separated. ❋ 1840-1916 (1913)

This relation of adjunction issues in a peculiar relation between the boundaries of the two events. ❋ Alfred North Whitehead (1904)

It is only as his own creature that he has given so much advancement to the keeper of the seals, considering him wholly his, good, amiable, and of solid merit, without the aid of any intrigue; and so his adjunction to the premier minister has made the keeper of the seals a butt for all the ministers. ❋ Unknown (1830)

And, doubtless, this adjunction of epithets for the purpose of additional description, where no particular attention is demanded for the quality of the thing, would be noticed as giving a poetic cast to a man's conversation. ❋ Samuel Taylor Coleridge (1803)

Divine, which is called the Holy Spirit, have prophesied, as we know from the Word; men enlightened by it see divine truths in heaven's light; above all, angels sensibly perceive the presence, influx and conjunction, though they are aware that the conjunction is no more than can be termed adjunction. ❋ Emanuel Swedenborg (1730)

-- The union of the soul and mind of one married partner to those of the other, is an actual adjunction, and cannot possibly be dissolved, 321. ❋ Emanuel Swedenborg (1730)

This is the case especially with married partners, who love each other intimately: but as the woman is from the man, and this conjunction is a species of reunion, it may be seen from reason, that it is not a conjunction into a one, but an adjunction, close and near according to the love, and approaching to contact with those who are principled in love truly conjugial. ❋ Emanuel Swedenborg (1730)

This adjunction is close and near according to the love, and approaching to contact with those who are principled in love truly conjugial, 158. ❋ Emanuel Swedenborg (1730)

-- Spiritual union of two married partners is the actual adjunction of the soul and mind of the one to the soul and mind of the other, 321. ❋ Emanuel Swedenborg (1730)

This adjunction may be called spiritual dwelling together; which takes place with married partners who love each other tenderly, however distant their bodies may be from each other. ❋ Emanuel Swedenborg (1730)

Whereas we were unable to analyze nitrated Akt peptides due to digestion and ionization problems, we identified two peptides displaying a mass difference of +45 by MS analysis, corresponding to the adjunction of a nitro group with ERK1. ❋ Alfredo Csibi Et Al. (2010)

If these processes are supposed to be nation-to-nation treaty negotiations then they are of international character and deserve appropriate third party adjunction by appropriate third party experts. ❋ Unknown (2009)

Not only did Rene II's reign ensure the independence of Lorraine, but it secured the adjunction of Barrois, for there can be no doubt that the Duchy of Bar would have been annexed to France right away had not Charles VIII found it politic to give back the territory confiscated by his father, Louis XI, as an inducement to Duke Rene II not to press his claims regarding such parts of Rene of Anjou's inheritance as Anjou and Provence which France wanted and secured out of the deal. ❋ William Elmer Bachman (N/A)

X †’ UF (X), called the unit of the adjunction, that simply sends each element of X to itself in UF (X) and this function satisfies the following universal property: given any function ❋ Marquis, Jean-Pierre (2007)

Cross Reference for Adjunction

  • Adjunction cross reference not found!

What does adjunction mean?

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