Signification visuelle de 'adjunction'? - apprendre avec des images, exemples du quotidien

noun

Adjonction, ajout

The act of joining; the thing joined or added.

"The adjunction of the new playground to the existing park made it a much more attractive place for families. "

L'ajout de la nouvelle aire de jeux au parc existant en a fait un endroit beaucoup plus attrayant pour les familles.

action process structure

noun

Jonction, adjonction

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

"After the adjunction of Sarah's art supplies to the classroom collection, everyone had more materials to use. "

Après l'adjonction des fournitures artistiques de Sarah à la collection de la classe, tout le monde avait plus de matériel à utiliser.

property law

noun

Adjonction

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.

"The professor explained the concept of adjunction between two mathematical structures using examples from group theory and linear algebra, showing how it establishes a formal connection between them. "

Le professeur a expliqué le concept d'adjonction entre deux structures mathématiques en utilisant des exemples tirés de la théorie des groupes et de l'algèbre linéaire, montrant comment cela établit une connexion formelle entre elles.

math abstract logic theory