The phrase "asymptotically optimum grouping" is primarily used in mathematics, statistics, and optimization theory. It refers to a grouping method that approaches an optimal solution as a certain condition (usually the number of groups or iterations) approaches infinity. It indicates that the method might not yield the best solution in finite terms, but it gets closer as you continue to work through the problem.
This phrase is relatively specialized, appearing more frequently in academic papers, textbooks, and professional discussions than in everyday spoken language. It is less common in casual contexts and leans more towards written technical language.
Исследователи предложили алгоритм асимптотически оптимальной группировки для повышения эффективности обработки данных.
By employing an asymptotically optimum grouping strategy, we can minimize error in large datasets.
Применяя стратегию асимптотически оптимальной группировки, мы можем минимизировать ошибки в больших наборах данных.
The asymptotically optimum grouping method allows for rapid convergence to the desired outcome.
While "asymptotically optimum grouping" is a specific technical term, it does not typically appear in idiomatic expressions or colloquial use. However, it can relate to broader discussions about optimization and grouping in various contexts.
Стремление к лучшему возможному расположению может привести нас к асимптотическим изменениям.
"In optimization problems, we often find ourselves aiming for that seemingly asymptotic ideal."
В задачах оптимизации мы часто находимся в процессе стремления к этому, казалось бы, асимптотическому идеалу.
"The concept of asymptote is central when we think about limits and near-optimum solutions."
The word "asymptotic" is derived from the Greek word "asumptōtos," meaning "not falling together." It relates to the concept in mathematics where a function approaches a limit but never actually reaches it. The word "optimum" comes from the Latin "optimus," meaning "best." "Grouping" is based on the verb 'group,' which comes from the Old French "groupe," meaning "a collection or set."