The term "bilinear equality" functions as a noun phrase.
/bɪˈlɪn.i.ər ɪˈkwɑːl.ɪ.ti/
A bilinear equality is a mathematical expression that involves bilinear forms which connect linear relations between variables or functions. In a bilinear equality, two variables appear in a term that is linear in each variable separately. This concept is generally used in the field of mathematics, particularly in linear algebra and functional analysis.
Frequency of Use: The term is more common in written contexts, especially in academic or technical literature related to mathematics, physics, or engineering. It is less frequently used in everyday oral speech due to its specialized nature.
The bilinear equality helps in visualizing the interactions between different variables in our model.
La igualdad bilineal ayuda a visualizar las interacciones entre diferentes variables en nuestro modelo.
In order to solve this problem, we need to express it in terms of a bilinear equality.
Para resolver este problema, necesitamos expresarlo en términos de una igualdad bilineal.
The concept of bilinear equality arises frequently in optimization problems.
El concepto de igualdad bilineal surge con frecuencia en problemas de optimización.
The term "bilinear equality" is not commonly found in idiomatic expressions since it is primarily a specialized mathematical term. However, related mathematical terms often appear in broader discussions.
In mathematical terms, to solve a quadratic equation, one must understand bilinear equations.
En términos matemáticos, para resolver una ecuación cuadrática, uno debe entender las ecuaciones bilineales.
The relationship between the variables becomes clear when you visualize it as a bilinear system.
La relación entre las variables se hace clara cuando la visualizas como un sistema bilineal.
When discussing numerical methods, the properties of bilinear mappings are highly relevant.
Al hablar de métodos numéricos, las propiedades de los mapeos bilineales son muy relevantes.
The term "bilinear" comes from the prefix "bi-" meaning "two" and "linear," which is derived from the Latin "linearis," referring to a line or linear relationship. The word "equality" comes from the Latin "aequalis," meaning "equal" or "even."
Synonyms: - Bilinear form - Bi-variable relationship
Antonyms: - Unilinear equality - Non-bilinear form
The term 'bilinear equality' itself is quite specific in its application, thus synonyms and antonyms are limited in the mathematical context.