Visuelle Bedeutung von 'adjunction'? - lernen mit Bildern, Beispiele aus dem Alltag

noun

Beifügung, Hinzufügung

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. "

Die Hinzufügung des neuen Spielplatzes zum bestehenden Park machte ihn zu einem viel attraktiveren Ort für Familien.

action process structure

noun

Verbindung, Hinzufügung

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. "

Nach der Verbindung von Sarahs Kunstmaterialien mit der Klassensammlung hatten alle mehr Materialien zur Verfügung.

property law

noun

Adjungiertheit, Adjunktion

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. "

Der Professor erklärte das Konzept der Adjungiertheit zwischen zwei mathematischen Strukturen anhand von Beispielen aus der Gruppentheorie und der linearen Algebra und zeigte, wie es eine formale Verbindung zwischen ihnen herstellt.

math abstract logic theory