condition of equivalence

简明释义

等价条件

英英释义

例句

1.The legal framework requires a condition of equivalence 等价条件 for contracts to be considered valid.

法律框架要求合同被视为有效时必须满足等价条件 condition of equivalence。

2.For the two systems to be interchangeable, they must satisfy the condition of equivalence 等价条件 in their performance metrics.

为了使这两个系统可以互换，它们必须满足其性能指标中的等价条件 condition of equivalence。

3.To achieve fairness in the experiment, the researchers established a condition of equivalence 等价条件 between the control and experimental groups.

为了在实验中实现公平，研究人员在对照组和实验组之间建立了一个等价条件 condition of equivalence。

4.In mathematics, the condition of equivalence 等价条件 is often used to define when two expressions are equal.

在数学中，等价条件 condition of equivalence 通常用于定义两个表达式何时相等。

5.In physics, the condition of equivalence 等价条件 is crucial for understanding the principles of relativity.

在物理学中，等价条件 condition of equivalence 对于理解相对论的原理至关重要。

作文

In the realm of philosophy and logic, understanding the concept of equivalence is crucial. The term condition of equivalence refers to a specific set of criteria that must be met for two or more entities to be considered equivalent in some way. This idea can be applied across various disciplines, including mathematics, linguistics, and ethics. To illustrate this, let us explore how the condition of equivalence operates in different contexts.In mathematics, the condition of equivalence often manifests in the form of equivalence relations. An equivalence relation on a set is a binary relation that is reflexive, symmetric, and transitive. For example, consider the set of integers. We can define an equivalence relation based on congruence modulo n. Here, two integers a and b are considered equivalent if their difference is divisible by n. This relationship establishes a clear condition of equivalence that allows mathematicians to group integers into equivalence classes.In linguistics, the condition of equivalence can be observed in translation studies. When translating a text from one language to another, the translator must ensure that the meaning, tone, and style are preserved. This requires a thorough understanding of both languages and cultures. The condition of equivalence in this context is the need for the translated text to convey the same message and emotional impact as the original. Failure to meet this condition can result in a loss of meaning or cultural significance.Ethics also provides a fertile ground for exploring the condition of equivalence. In moral philosophy, particularly in discussions about justice and equality, the condition of equivalence can be used to argue for fair treatment among individuals. For instance, when evaluating policies that affect different groups, one might apply the condition of equivalence to determine whether the policies treat all groups equally. If a policy disproportionately benefits one group over another without justifiable reasons, it may violate this condition, leading to ethical dilemmas.Furthermore, in the field of economics, the condition of equivalence plays a significant role in the analysis of markets and trade. Economists often use the concept of comparative advantage to explain how countries can benefit from trade. The condition of equivalence here involves ensuring that the gains from trade are distributed fairly among trading partners. If one country consistently takes advantage of another without reciprocation, it undermines the principle of mutual benefit that underlies trade agreements.In conclusion, the concept of condition of equivalence is multifaceted and applies to various domains. Whether in mathematics, linguistics, ethics, or economics, recognizing and adhering to the condition of equivalence is essential for establishing meaningful relationships and ensuring fairness. As we navigate complex systems and interactions, being mindful of these conditions can lead to deeper understanding and more equitable outcomes. Ultimately, the condition of equivalence serves as a guiding principle that transcends disciplines, reminding us of the importance of balance and fairness in our assessments and interactions.

在哲学和逻辑领域，理解等价的概念至关重要。术语等价条件指的是必须满足的一组特定标准，以便将两个或多个实体视为在某种方式上等价。这个概念可以应用于各个学科，包括数学、语言学和伦理学。为了说明这一点，让我们探讨一下等价条件在不同背景下的运作。在数学中，等价条件通常表现为等价关系。一个集合上的等价关系是一个二元关系，它是自反的、对称的和传递的。例如，考虑整数集合。我们可以基于模n的同余定义一个等价关系。在这里，如果两个整数a和b的差是n的倍数，则它们被认为是等价的。这种关系建立了一个明确的等价条件，使数学家能够将整数分组为等价类。在语言学中，等价条件可以在翻译研究中观察到。当将文本从一种语言翻译成另一种语言时，翻译者必须确保意义、语气和风格得以保留。这需要对两种语言和文化有透彻的理解。在这种情况下，等价条件是翻译文本需要传达与原文相同的信息和情感影响。如果未能满足这一条件，可能会导致意义或文化重要性的丧失。伦理学也为探索等价条件提供了肥沃的土壤。在道德哲学中，特别是在关于正义和平等的讨论中，可以用等价条件来论证对个人的公平对待。例如，在评估影响不同群体的政策时，人们可能会应用等价条件来判断这些政策是否平等对待所有群体。如果一项政策在没有合理理由的情况下不成比例地使一个群体受益，那么它可能违反了这一条件，从而导致伦理困境。此外，在经济学领域，等价条件在市场和贸易分析中发挥着重要作用。经济学家通常使用比较优势的概念来解释国家如何从贸易中受益。这里的等价条件涉及确保贸易收益在贸易伙伴之间公平分配。如果一个国家不断利用另一个国家而没有互惠，这就破坏了贸易协议所依据的相互利益的原则。总之，等价条件的概念是多方面的，并适用于各种领域。无论是在数学、语言学、伦理学还是经济学中，认识并遵循等价条件对于建立有意义的关系和确保公平至关重要。当我们在复杂的系统和互动中航行时，关注这些条件可以导致更深刻的理解和更公平的结果。最终，等价条件作为一种指导原则，超越学科，提醒我们在评估和互动中保持平衡和公平的重要性。