lacunary function - meaning, definition, translation, pronunciation
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lacunary function (english) - meaning, definition, translation, pronunciation


Part of Speech

Phonetic Transcription

Meaning and Usage

A "lacunary function" refers to a mathematical function characterized by having gaps or lacunae in its domain or range. In more technical terms, lacunary functions are often studied in the context of harmonic analysis, complex function theory, and signal processing. As a niche term primarily used in mathematical and statistical contexts, it is more prevalent in written form, particularly in academic publications, textbooks, or specialized literature.

Example Sentences

  1. The study of lacunary functions can provide insights into various types of convergence in mathematical series.
  2. Исследование лакунарных функций может дать представление о различных типах сходимости в математических рядах.

  3. Researchers are developing new techniques to analyze lacunary functions in high-dimensional spaces.

  4. Исследователи разрабатывают новые методы для анализа лакунарных функций в многомерных пространствах.

  5. Understanding lacunary functions is essential for tackling complex problems in number theory.

  6. Понимание лакунарных функций важно для решения сложных задач в теории чисел.

Idiomatic Expressions

The term "lacunary function" is quite specialized and does not typically appear in idiomatic expressions. However, in a broader mathematical or theoretical context, phrases that involve functions or gaps can come to mind:

  1. "Filling in the gaps" in a lacunary function can lead to more accurate models.
  2. "Заполнение пробелов" в лакунарной функции может привести к более точным моделям.

  3. Finding "common ground" in lacunary functions is crucial for collaborative research.

  4. Нахождение "общей основы" в лакунарных функциях имеет решающее значение для совместных исследований.

  5. Investigating "the missing pieces" in lacunary functions can reveal hidden patterns.

  6. Исследование "пропущенных частей" в лакунарных функциях может выявить скрытые закономерности.

Etymology

The term "lacunary" is derived from the Latin word "lacuna," meaning "a gap" or "a missing piece." The word has been adopted into English through its use in various scientific and mathematical contexts. The word "function" comes from the Latin "functio," meaning "performance" or "execution," which was integrated into English during the late Middle Ages to describe mathematical relations.

Synonyms and Antonyms

Synonyms

Antonyms

By understanding the term "lacunary function," you engage with a specific mathematical concept that is crucial for advanced studies in mathematics and theory.



25-07-2024