Solvability Meaning: Definition, Examples, and Translations
๐งฉ
solvability
[หsษlvษหbษชlษชti ]
Definitions
mathematics
The quality or state of being capable of being solved, as a problem or puzzle.
Synonyms
answerability, resolvability, solubility.
Which Synonym Should You Choose?
Word | Description / Examples |
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solvability |
Used to describe the quality of a problem or situation that can be solved. This term is frequently used in technical or mathematical discussions.
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solubility |
Primarily used in scientific contexts, especially chemistry, to describe how well a substance can be dissolved in a solvent.
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resolvability |
Describes the characteristic of a problem that can be resolved or fixed. This term is versatile and can be used in everyday situations as well as technical ones.
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answerability |
Refers to the ability to provide answers or be accountable for something. It is commonly used in legal, ethical, or administrative contexts.
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Examples of usage
- The solvability of the equation was proven by the mathematician.
- The solvability of the puzzle depended on logical reasoning.
general
The ability to be resolved or settled.
Synonyms
answerability, feasibility, resolvability.
Which Synonym Should You Choose?
Word | Description / Examples |
---|---|
solvability |
Appears to be a repeated entry. See entry for 'solvability'.
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resolvability |
Used to describe the potential to find a resolution or end to a problem or conflict, often in a practical or conflict resolution context.
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answerability |
Used when referring to having the ability or responsibility to provide an answer, often in the context of accountability or response to a question.
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feasibility |
Used to describe whether something is practical and possible to do, often taking into account resources, time, and conditions.
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Examples of usage
- The solvability of the conflict was uncertain.
- The solvability of the issue required compromise.
Translations
To see the translation, please select a language from the options available.
Interesting Facts
Mathematics
- In mathematics, a problem's solvability can depend on its formulation; some equations are solvable while others are not.
- The famous P versus NP problem questions whether every problem with a solution can be solved quickly.
- Solvability in algebra often relates to whether a polynomial equation can be factored into simpler expressions.
Psychology
- A person's perception of a problem's solvability can affect their motivation to find a solution.
- Cognitive biases can lead people to view problems as unsolvable even when they have solutions.
- Positive problem-solving strategies improve perceived solvability, enabling individuals to tackle challenges effectively.
Computer Science
- In computational theory, solvability is crucial in algorithms; some problems, known as NP-complete, are difficult to solve but easy to verify.
- The Entscheidungsproblem posed the question of whether a solution can be algorithmically determined for any mathematical statement.
- Artificial intelligence relies on understanding the solvability of problems to create effective decision-making systems.
Game Theory
- In game theory, the solvability of a game determines optimal strategies players may adopt.
- Some games are 'solvable', meaning there is a predetermined strategy that leads to the best outcome for one player.
- The concept is central to analyzing competitive scenarios, helping predict behaviors in economics and politics.
Origin of 'solvability'
Main points about word origin
- The term comes from the Latin word 'solvere', meaning 'to loosen, solve'.
- The suffix '-ability' indicates a quality, making 'solvability' refer to the quality of being solvable.
- It entered English usage in the late 19th century, showing the growing complexity of problems in science and philosophy.
The word 'solvability' originates from the combination of 'solve' and the suffix '-ability', which denotes the capacity or ability to perform a certain action. The term is commonly used in mathematics to describe the quality of being capable of being solved, as a problem or puzzle. The concept of solvability has been central to various fields, from algebraic equations to logical reasoning, highlighting the importance of being able to resolve issues and problems.
See also: absolve, dissolve, dissolvent, insolvency, insolvent, solvable, solvent, solver, solving, unsolvable.