solvable
adjEtymology
From solve + -able. Piecewise doublet of soluble. More information The mathematical senses derive from Galois theory: Galois discovered that one could determine whether a given polynomial could be solved by radicals by studying the properties of a particular group attached to a particular field extension deriving from the polynomial in question; if the group satisfies some conditions then polynomial can be solved by radicals. Any group meeting these conditions — whether or not it arises from this process — is thus called solvable, as is any field extension giving rise to such a group. The Lie-theoretic sense is by analogy, the study of Lie algebras deriving much of its terminology from group theory. In regular use by the late 19th century.
Definitions
Capable of being solved.
- a solvable problem
- Questions of this Nature may be easily solvable in the simple Cases.
Capable of being dissolved or liquefied.
Able to pay one's debts.
- […] although imprisonment was imposed by law on persons not solvable, yet officers were unwilling to cast them into goale,
- The Government is solvable in case of Loss, whereas private Men often fail;
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Capable of being paid and discharged.
- solvable obligations
The neighborhood
- neighborsolvability
Vish — recursive loop
No curated loop yet for solvable. Loops are being traced one word at a time while the ingestion pipeline matures.
sense glosses and etymology drawn from English Wiktionary · source · CC-BY-SA