Noun
/pɔɪntˈwaɪz ˌɒptəˈmælɪti/
Meaning
Pointwise optimality refers to a concept primarily used in mathematics, optimization theory, and economics, denoting a condition where a solution is optimal at each individual point in a given space rather than over a region or in an average sense. In optimization problems, a pointwise optimal solution makes the best possible choice at each specific point of the domain.
Usage in English
This term is typically found in academic and technical contexts, especially in disciplines such as operations research, game theory, and control theory. It is not commonly found in everyday conversation but is frequently used in scientific literature.
Frequency of Use
Pointwise optimality is a technical term, so it is used more often in written contexts, particularly in scholarly articles, textbooks, and research papers rather than in oral speech.
The researchers demonstrated that the algorithm achieved pointwise optimality in the specified conditions.
Исследователи продемонстрировали, что алгоритм достиг точной оптимальности в указанных условиях.
In the context of game theory, pointwise optimality ensures that each player makes the best decision at every possible stage of the game.
В контексте теории игр точная оптимальность гарантирует, что каждый игрок принимает наилучшее решение на каждом возможном этапе игры.
The team focused on achieving pointwise optimality instead of a global optimum for faster results.
Команда сосредоточилась на достижении точной оптимальности вместо глобального оптимума для более быстрых результатов.
The term "pointwise optimality" is not typically used within idiomatic expressions in the English language, as it is a highly specialized term pertaining to mathematics and optimization. However, concepts related to optimization can lead to some broader expressions, which may not include it explicitly but are common in academia or technical conversation.
To optimize the outcome of our project, we should consider every variable pointwise.
Чтобы оптимизировать результаты нашего проекта, нам следует рассмотреть каждую переменную по отдельности.
While striving for overall success, we cannot ignore the importance of finding favorable solutions pointwise along the way.
Стремясь к общему успеху, мы не можем игнорировать важность нахождения выгодных решений на каждом этапе.
In engineering, pointwise analyses allow for adjustments to be made at each stage of the design process.
В инженерии точечные анализы позволяют вносить корректировки на каждом этапе процесса проектирования.
The term "pointwise" is derived from the combination of "point," referencing an individual location in a mathematical sense, and "wise," meaning in a manner or mode of doing something. "Optimality" comes from "optimal," pertaining to the best or most effective condition, with its roots in Latin "optimus," meaning "best." Together, "pointwise optimality" synthesizes to reflect a notion of optimal conditions applicable specifically to individual points.
Synonyms: - Local optimality - Local optimum - Point optimization
Antonyms: - Global optimality - Global optimum - Non-optimality