automorphic
英 ['??t??m??f?k]
美 ['??to?m??f?k]
基础释义：
1. 自同构的；自相似的
2. 自动变换的
发音为 [??t??m??f?k]，在英语中，automorphic 常常被用在描述某种特定的数学或物理现象，例如在数学领域中，自同构群是一个重要的概念，描述的是一种特定的变换在自身结构下的表现形式。
以下是一些 automorphic 的英语范文：
例句：
Automorphic patterns are fascinating because they show how a system can change in response to its own structure.
自相似模式非常吸引人，因为它们展示了系统如何根据自身的结构变化。
The phenomenon of automorphic transformation is a fundamental aspect of many natural phenomena, including the formation of mountains and the movement of tectonic plates.
自相似性变换现象是许多自然现象的基本方面，包括山脉的形成和板块的运动。
Automorphic functions are a type of mathematical object that exhibit a certain kind of self-similarity.
自守函数是一种数学对象，它们表现出某种自相似性。
automorphic
发音：/???t??m??s?k/
释义：automorphic指一个词或词素的形式或发音随着意义的变化而变化的现象。
英语范文：
Automorphic Phenomenon in Language LearningAutomorphic现象在语言学习中是一种有趣的现象。在学习一门新的语言时，我们会发现许多单词和短语的形式和发音会随着意义的变化而变化。例如，在学习动词时，我们会发现一些动词的形式会随着时态的变化而变化，而一些形容词则会随着词义的变化而改变形式。这种变化不仅有趣，而且对于我们更好地理解和使用语言非常重要。
在学习过程中，我们应该注意观察和学习这些automorphic现象，以便更好地掌握语言。同时，我们也可以利用这些现象来提高我们的语言表达能力，例如通过创造有趣的表达方式来表达自己的想法和感受。总之，automorphic现象是一种有趣且有用的语言学习工具，我们应该充分利用它来提高我们的语言技能。
automorphic
发音: [??t??m??st]
范文：
Automorphic patterns are a fascinating topic in mathematics. They refer to patterns that repeat themselves in a self-similar way, without changing over time. These patterns can be observed in many natural phenomena, such as the patterns formed by ripples on a pond or the growth of plants.
In mathematics, automorphic transformations are a type of self-similarity that refers to transformations that leave a set unchanged. For example, if you rotate a square by 45 degrees, it becomes a diamond-shaped pattern with the same self-similarity pattern repeating itself.
Automorphic patterns and transformations have many practical applications. For example, they can be used to create beautiful artworks and patterns in architecture. They can also be used to create efficient algorithms for data compression and encryption.
In conclusion, automorphic patterns and transformations are fascinating topics that have many practical applications. Understanding them can help us better understand the world around us and create new and exciting things.
作文：Automorphic patterns are beautiful and fascinating patterns that repeat themselves in a self-similar way. They can be observed in many natural phenomena, such as the growth of plants and the formation of ripples on a pond. Automorphic transformations are a type of self-similarity that leaves a set unchanged. Understanding these patterns and transformations can help us better understand the world around us and create new and exciting things.
