Noun
/ˌdʒiːəˈmɛtrɪk faɪˈbreɪʃən/
"Geometric fibration" refers to a mathematical structure in topology whereby a space is decomposed into simpler pieces, which can be thought of as "fibers" over a base space. It is predominantly used in advanced mathematics, particularly in fields like algebraic topology and differential geometry. The term is a specialized concept that is more frequently found in written contexts, such as academic papers and textbooks, rather than in everyday speech.
Концепция геометрической фибрации позволяет математикам анализировать сложные структуры, изучая их более простые компоненты.
In her thesis, she explored the implications of geometric fibration on the classification of manifolds.
В своей диссертации она изучала последствия геометрической фибрации для классификации многообразий.
Several researchers are currently investigating the applications of geometric fibration in theoretical physics.
While "geometric fibration" is a technical term and not commonly used in idiomatic expressions, the concept of "fibration" in a broader sense can relate to terms like "fiber bundle," "fiber space," or "fibrational structure." Here are some sentences illustrating the term "fiber" in idiomatic contexts:
Ученый объяснил, что понимание волокна геометрической фибрации может раскрыть скрытые свойства пространства.
The artist's work seemed to fiber together different mathematical concepts into a cohesive piece.
Работы художника казались связывающими разные математические концепции в единое целое.
Exploring the fibers of mathematical theory can lead to new insights in geometry.
The term "geometric" comes from "geometry," which has Greek origins from the words "geo" (earth) and "metron" (measure). The word "fibration" derives from "fiber," which also has roots in Latin word "fibra," meaning “a thread or filament," combined with the suffix "-ation," indicating a process or action.
Synonyms: - Fiber bundle (in the context of topology) - Fiber space
Antonyms: - Discrete space (in contrast to the continuous nature implied by fibration)
In mathematical contexts, antonyms are less commonly addressed, as the concepts may not have direct opposites; instead, they often complement one another within a given framework.