bispherical coordinates (english) - meaning, definition, translation, pronunciation

Part of Speech

Noun

Phonetic Transcription

/bɪˈsfaɪərɪkəl kɔːrˈdɪneɪts/

Meaning and Usage

Bispherical coordinates are a three-dimensional coordinate system commonly used in mathematics and physics. They extend the concept of spherical coordinates to cover both hemispheres, resulting in two angles and a radius defining a point in three-dimensional space.

Frequency of Use: This term is predominantly used in academic, scientific, and engineering contexts. It is more frequently found in written formats, such as textbooks, research papers, and academic articles, rather than in casual oral speech.

Example Sentences

1. The mathematician presented a comprehensive study on bispherical coordinates to explain complex fluid dynamics.

2. Математик представил обширное исследование о бисферических координатах, чтобы объяснить сложную динамику жидкости.

3. In applying bispherical coordinates, the scientist was able to simplify the calculations of the electromagnetic fields.

4. Применяя бисферические координаты, учёный смог упростить расчёты электромагнитных полей.

5. The algorithm was designed to manipulate data represented in bispherical coordinates for better visualization.

6. Алгоритм был разработан для обработки данных, представленных в бисферических координатах, для лучшей визуализации.

Idiomatic Expressions

Although the term "bispherical coordinates" isn't commonly linked to idiomatic expressions due to its technical nature, concepts related to dimensions or geometry might occasionally appear in idiomatic usage. Below are some examples using general geometrical terms:

• "Getting your head around three-dimensional shapes is like working in geometric dimensions."

• "Понять трёхмерные формы так же сложно, как работать в геометрических измерениях."

• "Navigating through complex equations feels like exploring a multi-dimensional space."

• "Путешествовать по сложным уравнениям похоже на исследование многомерного пространства."

• "In mathematics, expanding your toolkit is essential for solving problems in various coordinates."

• "В математике расширение арсенала инструментов необходимо для решения задач в различных координатах."

Etymology

The term "bispherical" is derived from the prefix "bi-" meaning "two," and "spherical," which is based on the Greek word "sphaira," meaning a "sphere." "Coordinates" comes from the Latin word "coordinare," which means "to set in order." Together, these elements reflect a coordinate system that emphasizes the use of dual spherical components.

Synonyms and Antonyms

Synonyms: - Spherical coordinates - Polar coordinates (in certain contexts)

Antonyms: - Cartesian coordinates - Cylindrical coordinates

This comprehensive overview provides an informative perspective on bispherical coordinates, highlighting their significance, usage and the complexity of the coordinate systems used in mathematical and scientific analysis.