extremal (english) - meaning, definition, translation, pronunciation

Part of Speech

Adjective

Phonetic Transcription

/ɪkˈstriməl/

Meaning and Usage

The term "extremal" refers to something that is related to or denoting an extreme limit. It is often used in mathematical and scientific contexts, particularly in optimization problems and theories. This word is not commonly used in everyday conversation, so its frequency of use is low and it may be encountered mainly in written texts, such as academic papers or technical discussions.

Example Sentences

1. The team focused on finding the extremal values of the function in their analysis.
   La equipe se centró en encontrar los valores extremales de la función en su análisis.

2. Extremal points are crucial for understanding the behavior of the curve.
   Los puntos extremales son cruciales para entender el comportamiento de la curva.

3. Researchers are looking for extremal cases that can test their new hypothesis.
   Los investigadores están buscando casos extremales que puedan probar su nueva hipótesis.

Idiomatic Expressions

Although "extremal" itself does not form common idiomatic expressions, it can be found in mathematical phrases like "extremal principle," which is foundational in optimization and variational calculus.

Example Sentences with Related Expressions

1. The extremal principle states that the solution must satisfy certain boundary conditions.
   El principio extremal establece que la solución debe satisfacer ciertas condiciones de contorno.

2. Engineers often rely on extremal techniques when designing structures to withstand pressure.
   Los ingenieros a menudo confían en técnicas extremales al diseñar estructuras para soportar presión.

3. In physics, the concept of extremal states helps describe the behavior of particles at high energies.
   En física, el concepto de estados extremales ayuda a describir el comportamiento de las partículas en altas energías.

Etymology

The word "extremal" is derived from the Latin word "extremus," meaning "outermost" or "farthest." The suffix "-al" is added to form an adjective that pertains to or is characterized by the concept of extremity.

Synonyms and Antonyms

Synonyms: - Extreme - Outer - Maximum - Minimum

Antonyms: - Median - Average - Moderate - Central

This structured response aims to provide a comprehensive understanding of the word "extremal," its meanings, uses, and context within the English language.