coproduct

简明释义

英[kəʊˈprɒdʌkt]美[ˈkoʊˌprɑːdʌkt;ˈkoʊˌprɑːdəkt]

n. 副产物

英英释义

单词用法

同义词

反义词

例句

1.During the process, N- dimethyl methanamide is coproduct.

在这一过程中，N-二甲基甲酰胺是其副产物。

2.We have the infrastructure for corn-ethanol plants in place, corn ethanol has benefits, and distillers' grains are a valuable feed coproduct.

我们有公共设施用来种植玉米萃取植物，玉米萃取乙醇已经取得了正收益，而且相对应的谷物蒸馏器也是一种非常有价值的副产物。

3.In this paper, a new chloroform production process by reaction of chlorinated oil with dimethyl amine instead of lime is introduced, in which N, N- dimethyl methanamide is coproduct.

介绍了一种采用二甲胺代替石灰与氯油反应，在生产氯仿的同时联产N，N-二甲基甲酰胺的新工艺。

4.In this paper, a new chloroform production process by reaction of chlorinated oil with dimethyl amine instead of lime is introduced, in which N, N- dimethyl methanamide is coproduct.

介绍了一种采用二甲胺代替石灰与氯油反应，在生产氯仿的同时联产N，N-二甲基甲酰胺的新工艺。

5.The concept of coproduct (共产品) is essential for understanding how different structures interact in topology.

理解不同结构在拓扑学中如何相互作用，coproduct（共产品）的概念是至关重要的。

6.In category theory, the coproduct (共产品) of two objects is a construction that generalizes the notion of a disjoint union.

在范畴论中，两个对象的coproduct（共产品）是一个构造，它概括了不相交并集的概念。

7.When dealing with sets, the coproduct (共产品) can be represented as the disjoint union of those sets.

处理集合时，coproduct（共产品）可以表示为这些集合的不相交并。

8.The coproduct (共产品) in algebra can be seen as a way to combine different algebraic structures.

代数中的coproduct（共产品）可以看作是组合不同代数结构的一种方式。

9.In programming, a coproduct (共产品) can be used to represent a value that can take on multiple types.

在编程中，coproduct（共产品）可以用来表示一个可以取多种类型的值。

作文

In the realm of mathematics and category theory, the term coproduct is an essential concept that helps us understand how different structures can be combined. A coproduct can be thought of as a generalization of the idea of a sum or union of objects from various categories. For example, in the category of sets, the coproduct corresponds to the disjoint union of sets, where elements from different sets are treated as distinct even if they are identical in value. This allows mathematicians to combine multiple sets while maintaining their individuality, which is crucial in various applications such as topology and algebra.The importance of coproduct extends beyond pure mathematics; it also finds relevance in computer science and data analysis. In programming, when dealing with data structures, a coproduct can represent a choice between different types of data. For instance, consider a situation where a function can return either an integer or a string. In this case, the coproduct allows the function to encapsulate both possibilities, providing a flexible way to handle different data types without losing information.Moreover, the concept of coproduct is not limited to abstract theories but has practical implications in various fields. In economics, for instance, when analyzing production processes, we often encounter situations where multiple goods are produced simultaneously. Here, the idea of coproduct can be applied to describe the relationship between these goods. When two products are created together, they share resources and processes, leading to a scenario where the outputs are interdependent. Understanding this relationship can help businesses optimize their production strategies and improve efficiency.In environmental science, the notion of coproduct is crucial in assessing the sustainability of certain practices. For example, when a factory produces both electricity and waste heat from the same process, these outputs can be seen as coproducts. By analyzing the benefits and costs associated with each coproduct, researchers can develop strategies to minimize waste and enhance resource utilization, ultimately contributing to more sustainable industrial practices.Furthermore, the interdisciplinary nature of coproduct highlights its versatility and significance across various domains. In philosophy, discussions around identity and categorization often touch upon the idea of coproduct. When considering how entities exist within different contexts, the coproduct framework allows for a nuanced understanding of how these identities interact and coexist. This philosophical perspective enriches our comprehension of complexity in social structures and relationships.In conclusion, the concept of coproduct serves as a bridge between different fields of study, illustrating how diverse elements can be integrated while retaining their unique characteristics. Whether in mathematics, computer science, economics, environmental science, or philosophy, the coproduct plays a pivotal role in fostering understanding and innovation. As we continue to explore the interconnectedness of various disciplines, the significance of coproduct will undoubtedly remain a key area of interest, prompting further inquiry and application in both theoretical and practical contexts.

在数学和范畴论领域，术语coproduct是一个重要概念，有助于我们理解如何将不同的结构结合在一起。coproduct可以被视为对来自各种类别的对象求和或并集思想的推广。例如，在集合的范畴中，coproduct对应于集合的离散并集，其中来自不同集合的元素即使在值上相同也被视为不同。这使得数学家能够组合多个集合，同时保持它们的个性，这在拓扑学和代数等各种应用中至关重要。coproduct的重要性不仅限于纯数学；它在计算机科学和数据分析中也具有相关性。在编程中，当处理数据结构时，coproduct可以表示不同数据类型之间的选择。例如，考虑一个函数可以返回整数或字符串的情况。在这种情况下，coproduct允许该函数封装这两种可能性，提供一种灵活的方式来处理不同的数据类型而不会丢失信息。此外，coproduct的概念不仅限于抽象理论，还在各个领域具有实际意义。在经济学中，例如，在分析生产过程中，我们经常遇到同时产生多种商品的情况。在这里，coproduct的想法可以用来描述这些商品之间的关系。当两种产品共同生产时，它们共享资源和过程，从而导致输出相互依赖的场景。理解这种关系可以帮助企业优化生产策略，提高效率。在环境科学中，coproduct的概念在评估某些实践的可持续性方面至关重要。例如，当一家工厂从同一过程同时生产电力和废热时，这些输出可以被视为coproducts。通过分析与每个coproduct相关的收益和成本，研究人员可以制定策略以最小化浪费并增强资源利用，最终有助于更可持续的工业实践。此外，coproduct的跨学科性质突显了其在各个领域的多样性和重要性。在哲学中，关于身份和分类的讨论常常涉及coproduct的概念。当考虑实体在不同上下文中的存在时，coproduct框架允许对这些身份如何相互作用和共存进行细致的理解。这种哲学视角丰富了我们对社会结构和关系复杂性的理解。总之，coproduct的概念作为不同研究领域之间的桥梁，说明了如何在保留独特特征的同时整合多种元素。无论是在数学、计算机科学、经济学、环境科学还是哲学中，coproduct在促进理解和创新方面都发挥着关键作用。随着我们继续探索各学科之间的互联性，coproduct的重要性无疑将继续成为一个关键的研究领域，促使在理论和实践上下进一步探讨和应用。