solvability

/,sɔlvə'biliti/
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solvability

The mathematician considered the solvability of the equation.

Definition
  1. Noun:
    • The quality or state of being solvable: The property of a problem, equation, or difficulty that makes it possible to find a solution or resolution.
Usage
  • Solvability is an abstract noun used to describe the inherent characteristic of a challenge that allows it to be solved. It is often discussed in academic, scientific, and technical contexts.
  • It is typically used with verbs like , , , or .
  • Common collocations include: , , .
Examples
  • The mathematician published a paper on the solvability of quintic equations.
  • Before investing more resources, the team needed to assess the solvability of the technical issue.
  • A key factor in the project's approval was the perceived solvability of the logistical challenges.
Advanced Usage
  • "In principle" solvability: Refers to whether a solution exists theoretically, regardless of practical constraints.
    • The debate centered on the in-principle solvability of the philosophical paradox.
  • "Computational" solvability: Pertains to whether a problem can be solved by an algorithm within a reasonable amount of time or resources.
    • The solvability of this class of problems is a major topic in computer science.
Variants and Related Words
  • Solvable (adj): Capable of being solved.
    • The puzzle is complex but ultimately solvable.
  • Solve (v): To find an answer or solution to a problem.
    • Engineers worked to solve the design flaw.
  • Solution (n): The means of solving a problem or the answer itself.
    • After hours of work, she found the solution.
Synonyms
  • Resolvability: The capability of being resolved.
  • Solubleness (less common, often in specific contexts): The quality of being soluble or solvable.
Antonyms
  • Insolvability: The property of being impossible to solve.
  • Intractability: The quality of being very difficult or impossible to manage or solve.
solvability

The mathematician considered the solvability of the equation.

Noun
  1. the property (of a problem or difficulty) that makes it possible to solve

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