covariant

covariant的音标是[ˈkɒvɪərɪənt]，基本翻译是协变。速记技巧是将其分解为辅音和元音，辅音可以快速记忆，而元音则可以通过联想或图像来记忆。例如，可以想象一只蝴蝶在翩翩起舞，它的翅膀是协变的。通过这样的分解和联想，可以更轻松地记住这个单词。

covariant这个词的词源可以追溯到拉丁语和希腊语，意为“相关的，同时变化的”。它的变化形式主要有复数covariants和过去式、过去分词covariated。

相关单词：

covariance：协变，指两个或多个变量之间同时变化的关系。

covariate：共变物，指与另一个变量同时变化的因素。

variant：变体，指在某个方向上变化的形式。

variantia：变体物，指变化的形式和程度。

covariation：共变，指两个或多个变量之间同时变化的过程。

covariationism：共变主义，是一种科学方法论，强调观察和实验中的变量关系。

covariant relation：协变关系，指两个或多个变量之间同时变化的性质。

covariant principle：协变原则，是一种科学原则，强调观察和实验中的变量关系应该被优先考虑。

covariant evolution：协变进化，指生物或物理系统在时间方向上的变化方式，与协变性原则相关。

covariant transformation：协变变换，指在数学和物理中用于描述变量之间关系的变换方式。

以上这些单词都与covariant这个词源有直接或间接的关系，体现了这个词在语言和科学中的广泛应用。

Covariant 常用短语：

1. covariant behavior 协变行为

2. covariant transformation 协变转换

3. covariant derivative 协变导数

4. covariant vector 协变向量

5. covariant transformation law 协变转换法则

6. covariant covariance 协变性

7. covariant interpretation 协解法

例句：

1. The covariant behavior of particles is a fundamental feature of quantum mechanics.

2. Under covariant transformation, the properties of a system do not change.

3. The covariant derivative of a tensor field is defined by taking the derivative with respect to the parameter of the coordinate transformation.

4. Covariant vectors are useful in describing the motion of particles in a curved space-time.

5. The covariant transformation law ensures that the laws of physics remain unchanged under changes in reference frame.

6. Covariant covariance allows us to make general statements about the behavior of systems under different circumstances.

7. The covariant interpretation of certain mathematical objects leads to powerful tools for solving problems in physics and engineering.

英文小作文：

The concept of covariance plays a crucial role in many areas of science and mathematics, including physics and geometry. It refers to a property where a quantity or object remains unchanged when a transformation is applied to the surrounding environment. In physics, covariance is particularly important in describing the behavior of particles and fields in a consistent manner under different reference frames and coordinate systems.

For instance, the laws of physics should remain the same regardless of the reference frame used to observe them. This requires that the fundamental quantities such as force, momentum, and energy be covariant. Similarly, the description of fields such as electromagnetism and gravity also require covariance to ensure their consistent behavior across different scenarios.

Covariance provides a powerful tool for making general statements about the behavior of systems under different circumstances. It allows us to develop mathematical frameworks that are applicable to a wide range of situations, regardless of the specific details of the system under consideration. Furthermore, covariance leads to more intuitive and transparent explanations of phenomena, making it an essential tool for understanding and explaining the world around us.