Solvability: meaning, definitions and examples

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solvability

[ˌsɒlvəˈbɪlɪti ]

Definitions

^{Context #1 | Noun}

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
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. The solvability of the puzzle was questioned by many experts.
solubility	Primarily used in scientific contexts, especially chemistry, to describe how well a substance can be dissolved in a solvent. The solubility of salt in water is well-documented in chemistry textbooks.
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. The resolvability of the conflict depends on both parties' willingness to negotiate.
answerability	Refers to the ability to provide answers or be accountable for something. It is commonly used in legal, ethical, or administrative contexts. The manager's answerability to the board ensured that the project stayed on track.

Examples of usage

The solvability of the equation was proven by the mathematician.
The solvability of the puzzle depended on logical reasoning.

^{Context #2 | Noun}

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'. The solvability of this equation is still being debated by mathematicians
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. The resolvability of their disagreement helped maintain peace in the office
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. The teacher emphasized the answerability of students during the exam
feasibility	Used to describe whether something is practical and possible to do, often taking into account resources, time, and conditions. The feasibility of building a new park in the city center is being studied by the council

Examples of usage

The solvability of the conflict was uncertain.
The solvability of the issue required compromise.

Interesting Facts

Etymology

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.

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.

Translations

Translations of the word "solvability" in other languages:

🇵🇹 solubilidade

🇮🇳 उपाय योग्यता

🇩🇪 Lösbarkeit

🇮🇩 kelarutan

🇺🇦 розв'язуваність

🇵🇱 rozwiązywalność

🇯🇵 解決可能性 (かいけつかのうせい)

🇫🇷 résolubilité

🇪🇸 resolubilidad

🇹🇷 çözülebilirlik

🇰🇷 해결 가능성 (haegyeol ganeungseong)

🇸🇦 قابلية الذوبان

🇨🇿 řešitelnost

🇸🇰 riešiteľnosť

🇨🇳 可解性 (kě jiě xìng)

🇸🇮 rešljivost

🇮🇸 leysanleiki

🇰🇿 шешімділік

🇬🇪 გადაწყვეტადობა (gadats'q'vetadoba)

🇦🇿 həll edilə bilənlik

🇲🇽 resolubilidad