covariant background

covariant

/koʊˈveəriənt/ /koʊˈværiənt/

Illustration covariant - Image 1

noun

共变式

A bihomogeneous polynomial in x, y, ... and the coefficients of some homogeneous form in x, y, ... that is invariant under some group of linear transformations.

Examples :

"Because calculating the covariant for higher-degree polynomials is computationally intensive, researchers often rely on specialized software to find them efficiently. "

由于计算高阶多项式的共变式在计算上非常密集，研究人员通常依赖专门的软件来高效地找到它们。

Illustration covariant - Image 1

noun

协变式。

The variety defined by a covariant.

Examples :

"The equation represents a line; the covariant determines if this line intersects a specific circle. "

这个方程代表一条直线；协变式决定了这条直线是否与一个特定的圆相交。

Illustration covariant - Image 1

adjective

共变的，协变的

(Of a functor) which preserves composition.

Examples :

"A programming language's covariant return type allows a function in a subclass to return a more specific type than the function in its superclass, ensuring that the composed actions of inheritance and function calling still yield expected results. "

编程语言的协变返回类型允许子类中的函数返回比父类中函数更具体的类型，确保继承和函数调用的组合操作仍然产生预期的结果。

Illustration covariant - Image 1

adjective

协变的，共变的

Using or relating to covariance.

Examples :

"The covariant changes in Maria's study habits and her improved grades suggested a strong relationship between effort and achievement. "

玛丽亚的学习习惯和提高的成绩之间呈现出协变的变化，表明努力和成就之间存在着很强的关联。

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