Trivial vs Semisimple - What's the difference?
trivial | semisimple |
Ignorable; of little significance or value.
* 1848, , Bantam Classics (1997), 16:
Commonplace, ordinary.
* De Quincey
Concerned with or involving trivia.
(biology) Relating to or designating the name of a species; specific as opposed to generic.
(mathematics) Of, relating to, or being the simplest possible case.
(mathematics) Self-evident.
Pertaining to the trivium.
(philosophy) Indistinguishable in case of truth or falsity.
(obsolete) Any of the three liberal arts forming the trivium.
(mathematics, of a module) In which each submodule is a direct summand.
(mathematics, of an algebra or ring)
(mathematics, of an operator or matrix) For which every invariant subspace has an invariant complement, equivalent to the minimal polynomial being squarefree.
(mathematics, of a Lie algebra) Being a direct sum of simple Lie algebras.
(mathematics, of an algebraic group) Being a linear algebraic group whose radical of the identity component is trivial.
As adjectives the difference between trivial and semisimple
is that trivial is ignorable; of little significance or value while semisimple is (mathematics|of a module) in which each submodule is a direct summand.As a noun trivial
is (obsolete) any of the three liberal arts forming the trivium.trivial
English
Adjective
(en adjective)- "All which details, I have no doubt, Jones , who reads this book at his Club, will pronounce to be excessively foolish, trivial , twaddling, and ultra-sentimental."
- As a scholar, meantime, he was trivial , and incapable of labour.
Synonyms
* (of little significance) ignorable, negligible, triflingAntonyms
* nontrivial * important * significant * radical * fundamentalDerived terms
* triviaNoun
(en noun)- (Skelton)
- (Wood)