nonequivalent

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数据源: ai_enrichment
nonequivalent 是一个形容词,主要用于数学和逻辑学领域,表示两个事物在价值、意义或数量上不相等或不具有等价关系。

用法要点

句型搭配

nonequivalent 通常用作定语,修饰名词,表示“非等价的”或“不等价的”。在句子中,它常出现在系动词后作表语,或直接放在名词前作定语。

• nonequivalent sets
• be nonequivalent to
• nonequivalent conditions

介词用法

nonequivalent 常与介词 to 连用,构成 nonequivalent to,表示“与...不等价”。这种结构用于比较两个事物,强调它们之间的不等价关系。

• A is nonequivalent to B
• nonequivalent to the original
• nonequivalent to zero

语域说明

nonequivalent 是一个正式词汇,主要用于学术、技术或专业语境,如数学、逻辑学、计算机科学和哲学。在日常对话中较少使用,更常见的表达是 not equivalent 或 not equal。

• In mathematical proofs, nonequivalent statements...
• The two theories are nonequivalent in their assumptions.

基础例句

In this math problem, the two equations are nonequivalent, so you can't solve them the same way.

在这个数学题中,这两个方程是非等价的,所以你不能用同样的方法解它们。

The teacher explained that the two statements are nonequivalent because they have different meanings.

老师解释说这两个陈述是非等价的,因为它们的意思不同。

When comparing prices, make sure the products are nonequivalent in quality before deciding.

比较价格时,在决定前要确保这些产品在质量上不是等价的。

高级例句

In abstract algebra, the two groups are proven to be nonequivalent under the given isomorphism conditions.

在抽象代数中,这两个群在给定的同构条件下被证明是非等价的。

The research concluded that the experimental and control groups had nonequivalent baseline characteristics, affecting the validity of the study.

研究得出结论,实验组和对照组具有非等价的基线特征,这影响了研究的有效性。

In contract negotiations, the parties agreed that the proposed terms were nonequivalent to the original agreement, requiring further discussion.

在合同谈判中,双方同意提议的条款与原协议不等价,需要进一步讨论。

高频搭配

verb

prove nonequivalentconsider nonequivalenttreat as nonequivalentshow nonequivalentdefine as nonequivalent

adjective

mathematically nonequivalentlogically nonequivalentstrictly nonequivalentessentially nonequivalentfunctionally nonequivalent

noun

nonequivalent setsnonequivalent statementsnonequivalent conditionsnonequivalent solutionsnonequivalent classes

adverb

clearly nonequivalentobviously nonequivalentfundamentally nonequivalentstructurally nonequivalent

preposition

nonequivalent tononequivalent in terms ofnonequivalent with respect to

phrase

nonequivalent transformationsnonequivalent representationsnonequivalent outcomesnonequivalent hypotheses

常见错误

❌ 错误:The two methods are not equivalent, but they are nonequivalent.
✓ 正确:The two methods are nonequivalent.

错误用法中重复了否定(not equivalent 和 nonequivalent 意思相同),造成冗余。正确用法应直接使用 nonequivalent,它已经包含了“不”的意思,避免双重否定。

❌ 错误:This is a nonequivalent problem to solve.
✓ 正确:This problem has nonequivalent solutions.

错误用法中 nonequivalent 修饰 problem 可能不自然,因为问题本身通常不被描述为“非等价的”。正确用法应聚焦于解决方案或条件等具体方面,使表达更准确和符合习惯。

近义词辨析

unequal

unequal 更通用,强调数量、大小或程度上的不相等,常用于日常或数学语境;而 nonequivalent 更专业,强调逻辑、价值或意义上的不等价,多用于学术领域。

The lengths are unequal (指长度不等), but the concepts are nonequivalent (指概念不等价).

nonidentical

nonidentical 强调两个事物不完全相同或有差异,可能在外观或细节上;nonequivalent 则强调在功能、意义或价值上不具有等价性,常用于更抽象的对比。

The twins are nonidentical (指双胞胎不同), but their roles in the project are nonequivalent (指角色不等价).