Definition of SOLVABLE

solvable

Meanings

Adjective Satellite

  • capable of being solved
    • "such problems are perfectly solvable"

Adj

  • Capable of being solved.
  • various senses relating to terminating sequences or computability:
  • Having terminating derived series; see Solvable group on Wikipedia.Wikipedia
  • Capable of being solved.
  • various senses relating to terminating sequences or computability:
  • Having a Galois group which is solvable.
  • Capable of being solved.
  • various senses relating to terminating sequences or computability:
  • Having terminating derived series (this is a distinct notion from the derived series of a group); see Solvable Lie algebra on Wikipedia.Wikipedia
  • Capable of being solved.
  • Such that the set of inputs for which the answer is yes is recursively enumerable.
  • Capable of being solved.
  • Capable of being dissolved or liquefied.
  • Able to pay one's debts.
  • Capable of being paid and discharged.

Origin / Etymology

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.

Scrabble Score: 13

solvable is a valid Scrabble (US) TWL word
solvable is a valid Scrabble Word in Merriam-Webster MW Dictionary
solvable is a valid Scrabble Word in International Collins CSW Dictionary

Words With Friends Score: 17

solvable is a valid Words With Friends word