linear ring (english) - meaning, definition, translation, pronunciation

Part of Speech

Noun

Phonetic Transcription

/ˈlɪniər rɪŋ/

Meaning and Usage

A "linear ring" is a term primarily used in mathematics and computer science, particularly in the context of geometry and topology. It refers to a ring (a closed curve) that is non-self-intersecting and consists of a linear array of points forming a perimeter. Linear rings are often used in defining geometrical shapes in geographic information systems (GIS) and in the context of polygons.

Frequency of Use

The term "linear ring" is more frequently used in written technical contexts, especially in academic articles or research papers relevant to mathematics, computer science, and geospatial analysis, than in oral speech.

Example Sentences

1. The researchers defined the area of the park using a linear ring in their GIS application.

2. Исследователи определили площадь парка с помощью линейного кольца в своем ГИС-приложении.

3. In topology, a linear ring does not intersect itself and is essential for various proofs.

4. В топологии линейное кольцо не пересекает само себя и является важным для различных доказательств.

5. The design software allows users to create shapes by drawing a linear ring.

6. Программное обеспечение для проектирования позволяет пользователям создавать фигуры, рисуя линейное кольцо.

Idiomatic Expressions

The term "linear ring" does not feature prominently in idiomatic expressions. However, it plays an essential role in geometrical language and computational terminology. The following sentences illustrate the broader context in which "ring" appears.

Example Sentences with Related Expressions

1. Ring a bell: The concept of a linear ring might not ring a bell for most casual mathematicians.

2. Концепция линейного кольца может не вызывать знакомство у большинства случайных математиков.

3. Circle the wagons: When discussing linear rings, it is helpful to circle the wagons and focus on key definitions.

4. При обсуждении линейных колец полезно "окружить повозки" и сосредоточиться на ключевых определениях.

5. A ring of truth: There is a ring of truth to the definition of a linear ring that mathematicians must agree on.

6. В определении линейного кольца есть часть истины, с которой математики должны согласиться.

7. Break the mold: Introducing linear rings in geometry can help break the mold of traditional polygon definitions.

8. Введение линейных колец в геометрию может помочь сломать стереотипы традиционных определений многоугольников.

Etymology

The term "linear" originates from the Latin word "linearis," which means "of or belonging to a line." "Ring," on the other hand, derives from the Old English "hring," meaning "a circular band." Together, "linear ring" literally describes a band-like structure that is in the form of a straight line in a cyclic manner.

Synonyms and Antonyms

Synonyms

• Closed curve
• Non-self-intersecting line
• Cycle

Antonyms

• Open curve
• Self-intersecting curve
• Line segment

This comprehensive overview encapsulates the key aspects of the term "linear ring," its use, and contextual significance in mathematics and topology.