canonically
Adverb
Meaning
In a canonical manner; according to the canons.
Source: Webster's dictionarySynonyms
Antonyms
Show all antonymsExamples
the deacon was canonically inducted
A Banach space can be canonically identified with a subspace of its bidual, which is the dual of its dual space.
Although Anglican public worship is usually ordered according to the canonically approved services, in practice many Anglican churches use forms of service outside these norms.
Both approaches conceal the fact, though, that many consonant-based katakana signs, especially those canonically ending in u, can be used in coda position, too, where the vowel is unvoiced and therefore barely perceptible.
Conversely, it can be proven that any semisimple Lie algebra is the direct sum of its minimal ideals, which are canonically determined simple Lie algebras.
For example, the canonical map from a finite-dimensional vector space V to its second dual space is a canonical isomorphism; on the other hand, V is isomorphic to its dual space but not canonically in general.