isomorph

简明释义

英[ˈaɪsəʊmɔːf]美[ˈaɪsəmɔrf]

n. 同构，同形；同晶体

英英释义

单词用法

同义词

反义词

例句

1.We carefully made comparative analysis on the significance of isomorph prefix, post positioned stem and function.

从前缀的意义、后置词根、功能等方面进行了细致的对比分析。

2.On the model with reasonable isomorph suppose, a model-based diagnosis is used in program debbuging for logic errors, and compare this model to the other classical models on its advantages.

在此模型上，使用合理的同构假定，运用基于模型的诊断方法对程序进行逻辑错误的诊断，并与经典的诊断模型作了比较。

3.On the model with reasonable isomorph suppose, a model-based diagnosis is used in program debbuging for logic errors, and compare this model to the other classical models on its advantages.

在此模型上，使用合理的同构假定，运用基于模型的诊断方法对程序进行逻辑错误的诊断，并与经典的诊断模型作了比较。

4.The two graphs are isomorphic 同构的, meaning they can be transformed into each other by relabeling the vertices.

这两个图是 isomorphic 同构的，意味着它们可以通过重新标记顶点互相转换。

5.In chemistry, an isomorph 同构体 refers to compounds that have the same crystal structure but different chemical compositions.

在化学中，isomorph 同构体 指的是具有相同晶体结构但化学成分不同的化合物。

6.In biology, certain species can be considered isomorphs 同构体 if they exhibit similar forms despite being genetically different.

在生物学中，如果某些物种表现出相似的形态，尽管基因不同，它们可以被视为 isomorphs 同构体。

7.The software utilizes isomorphic 同构的 principles to ensure that the same code can run on both the server and client sides.

该软件利用 isomorphic 同构的 原则，确保相同的代码可以在服务器和客户端上运行。

8.Mathematicians study isomorphs 同构 to understand the structural similarities between different algebraic systems.

数学家研究 isomorphs 同构 以理解不同代数系统之间的结构相似性。

作文

In the realm of science and mathematics, the term isomorph refers to a concept that signifies a one-to-one correspondence between two structures, allowing them to be considered equivalent in some specific context. This idea can be found in various fields such as algebra, chemistry, and biology. Understanding the implications of isomorph can deepen our appreciation for the interconnectedness of different disciplines and enhance our analytical skills.To illustrate the concept of isomorph, let’s first consider its application in algebra. In group theory, two groups are said to be isomorphic if there exists a bijective function between them that preserves the group operation. This means that the structure of the groups is essentially the same, even if the elements themselves differ. For example, the group of integers under addition and the group of even integers under addition are isomorphic because we can map every integer to an even integer by simply multiplying it by two. This relationship highlights how seemingly different entities can share a fundamental structure, a principle that resonates throughout various branches of mathematics.Similarly, in chemistry, isomorph can refer to compounds that have the same crystalline structure but different chemical compositions. For instance, sodium chloride (table salt) and potassium bromide both crystallize in the same cubic lattice structure. Despite their differing chemical properties, their isomorphic nature allows chemists to predict behaviors and reactions based on their structural similarities. This phenomenon is crucial in materials science, where understanding the properties of materials can lead to innovations in technology and manufacturing.Moreover, in biology, isomorph can describe organisms that exhibit similar forms or structures due to convergent evolution. For example, the wings of bats and birds serve the same function and share similar shapes, yet they evolved independently from different ancestral lines. This biological isomorphism emphasizes the adaptability of life forms in response to environmental pressures, demonstrating how different species can develop analogous traits despite their distinct evolutionary paths.The concept of isomorph extends beyond scientific disciplines; it also finds relevance in philosophy and cognitive science. The idea that different systems can be represented in a similar way invites us to explore how we understand and interpret complex information. For instance, in computer science, data structures can be isomorphic, meaning they can represent the same information differently while maintaining the same underlying relationships. This flexibility in representation is vital for optimizing algorithms and improving computational efficiency.In conclusion, the term isomorph encapsulates a profound idea that transcends individual fields of study. By recognizing the isomorphic relationships between different structures, we can gain insights into the nature of equivalence and similarity across diverse contexts. Whether in mathematics, chemistry, biology, or philosophy, the ability to identify and analyze isomorphs enriches our understanding of the world around us. As we continue to explore the intricacies of various domains, embracing the concept of isomorph will undoubtedly enhance our critical thinking and foster interdisciplinary connections.

在科学和数学领域，术语isomorph指的是一个概念，表示两个结构之间的一一对应关系，使它们在某种特定上下文中被认为是等同的。这个思想可以在代数、化学和生物学等多个领域找到。理解isomorph的含义可以加深我们对不同学科相互关联性的欣赏，并增强我们的分析能力。为了说明isomorph的概念，让我们首先考虑它在代数中的应用。在群论中，如果存在一个双射函数将两个群映射到彼此，并保持群运算，则称这两个群是isomorphic的。这意味着群的结构本质上是相同的，即使元素本身不同。例如，整数加法群和偶整数加法群是isomorphic的，因为我们可以通过简单地将每个整数乘以二来将每个整数映射到一个偶整数。这种关系突显了看似不同的实体可以共享基本结构的原则，这一原则贯穿于数学的各个分支。同样，在化学中，isomorph可以指具有相同晶体结构但化学成分不同的化合物。例如，氯化钠（食盐）和溴化钾都以相同的立方晶格结构结晶。尽管它们的化学性质不同，但它们的isomorphic特性使化学家能够根据它们的结构相似性预测行为和反应。这种现象在材料科学中至关重要，理解材料的特性可以推动技术和制造业的创新。此外，在生物学中，isomorph可以描述由于趋同进化而表现出相似形态或结构的生物体。例如，蝙蝠和鸟的翅膀具有相同的功能并且形状相似，但它们是独立于不同祖先谱系进化而来的。这种生物学上的isomorphism强调了生命形式在应对环境压力时的适应性，展示了不同物种如何在其独特的进化路径中发展出类似的特征。isomorph的概念超越了科学学科，它在哲学和认知科学中也找到了相关性。不同系统可以以相似的方式表示这一思想邀请我们探索我们如何理解和解释复杂信息。例如，在计算机科学中，数据结构可以是isomorphic的，这意味着它们可以以不同的方式表示相同的信息，同时保持相同的基本关系。这种表示的灵活性对于优化算法和提高计算效率至关重要。总之，术语isomorph概括了一个超越单个研究领域的深刻思想。通过识别不同结构之间的isomorphic关系，我们可以获得对等价性和相似性本质的洞察。无论是在数学、化学、生物学还是哲学中，识别和分析isomorphs的能力丰富了我们对周围世界的理解。随着我们继续探索各个领域的复杂性，接受isomorph的概念无疑将增强我们的批判性思维，并促进跨学科的联系。