corollaries

简明释义

[kəˈrɒl.ə.riːz][kəˈrɑː.ləˌriz]

推论

英英释义

A corollary is a proposition that follows with little or no proof from one already proven.

推论是一个几乎不需要证明或只需少量证明就能从已证明的命题中得出的命题。

In mathematics, a corollary is a statement that can be easily derived from a theorem.

在数学中,推论是可以轻松从定理中推导出的陈述。

单词用法

corollary equipment

配套设备

同义词

consequences

后果

The consequences of his actions were severe.

他行为的后果是严重的。

results

结果

The results of the experiment were surprising.

实验的结果令人惊讶。

deductions

推论

From these deductions, we can draw several conclusions.

从这些推论中,我们可以得出几个结论。

implications

暗示

The implications of this theory are far-reaching.

这个理论的暗示影响深远。

inferences

推断

Her inferences about the situation were insightful.

她对情况的推断很有见地。

反义词

causes

原因

The causes of the problem were identified during the investigation.

在调查过程中确定了问题的原因。

premises

前提

The premises of the argument must be accepted for the conclusion to hold.

论点的前提必须被接受,结论才能成立。

例句

1.According to that, two correlativity theorems and three corollaries of basic changing topology ways of the variable topology mechanisms are discovered, put forward and proved strictly.

依据该基本原理,发现、提出并充分证明了变拓扑机构基本变拓扑方式的两个相关性定理及其三个推论。

2.There are corollaries for those ideas in terms of the kinds of effects that literature has and what we might imagine ourselves to conclude from them.

这些想法,都带来一些必然的结果,有关文学的作用,以及我们想象自己能从中得出的结论。

3.As corollaries, we obtain some strong limit theorems for the frequencies of occurrence of states and ordered couples of states for the even-odd Markov chain fields and Markov chain fields.

作为这一类强极限定理的推论得到了状态和状态序偶出现频率的一类强极限定理。

4.We utilize the results in Chapter 2 and Chapter 3 to prove the fixed point theorems and several corollaries for complex mappings or single mapping on fuzzy metric Spaces.

利用第二、第三章的结果证明了模糊度量空间上相应的复合映射的不动点定理和几个单一映射的不动点定理。

5.Finally, some useful corollaries are obtained which include the algebraic expression of stabilizing controllers for linear continuous and discrete time systems.

最后,得到了若干有益的推论,包括线性离散及连续系统稳定化控制器的统一代数表示等。

6.In this. paper, some extreme graphs relative to network problems are studied. The main results include five theorems on maximum graphs without triangles and their three corollaries.

本文研究与网络题有关的一些极图,得出的主要结果有:五个关于没有三角形的极大图的定理,以及它们的三个推论。

7.Theorems and corollaries for inherent rule of group communication pattern are proposed to optimize message scheduling using the information provided by parallel applications.

利用并行应用提供的信息给出群通信模式内在规律的定理和推论,从而优化消息调度。

8.One of the key principles of democracy is equality, and its corollaries 推论 include the right to vote for all citizens.

民主的一个关键原则是平等,及其推论包括所有公民的投票权。

9.If we accept the premise, then the corollaries 推论 must also be acknowledged.

如果我们接受这个前提,那么推论也必须得到承认。

10.In science, a theory often has several corollaries 推论 that can be derived from it.

在科学中,一个理论通常有多个可以从中推导出的推论

11.The economic policy has several corollaries 推论 that affect employment rates.

该经济政策有几个影响就业率的推论

12.The environmental impact report outlined several corollaries 推论 of the proposed construction project.

环境影响报告概述了拟建项目的几个推论

作文

In the realm of science and philosophy, the concept of cause and effect is paramount. Every action has consequences, and these consequences can often be seen as the corollaries (推论) of the initial action. For instance, consider the act of deforestation. When large areas of forest are cleared for agriculture or urban development, the immediate result is the loss of trees. However, the corollaries (推论) extend far beyond that. The loss of trees leads to soil erosion, a decrease in biodiversity, and an increase in carbon dioxide levels in the atmosphere. This chain of events illustrates how one action can lead to multiple outcomes, each with its own implications.In everyday life, we encounter corollaries (推论) in various situations. Take education, for example. When students dedicate time and effort to their studies, the primary outcome is improved knowledge and skills. The corollaries (推论) of this dedication may include better job prospects, higher earning potential, and even increased self-esteem. Each of these outcomes is interconnected, demonstrating how the original action of studying can have far-reaching effects.Moreover, in the context of social behavior, the corollaries (推论) of our actions can significantly impact our relationships with others. If someone consistently shows kindness and support to their friends, the immediate effect is a strengthened bond. However, the corollaries (推论) may include a supportive social network, increased trust, and a sense of belonging. Conversely, negative actions, such as dishonesty or betrayal, can lead to a breakdown in relationships, illustrating the importance of understanding the corollaries (推论) of our behavior.In the world of economics, the corollaries (推论) of financial decisions are crucial for both individuals and businesses. For example, when a company decides to invest in sustainable practices, the immediate benefit may be a reduction in operational costs due to energy efficiency. However, the corollaries (推论) could also involve enhanced brand reputation, customer loyalty, and long-term profitability. Thus, understanding the broader implications of financial choices is essential for success in today’s competitive market.In conclusion, the concept of corollaries (推论) is integral to understanding the complexity of our actions and their effects. Whether in environmental science, education, social interactions, or economics, recognizing the corollaries (推论) of our decisions allows us to make more informed choices. By considering not just the immediate outcomes but also the potential ripple effects, we can navigate through life with greater awareness and responsibility. The interplay between actions and their corollaries (推论) shapes our world, and it is our duty to understand this relationship to foster a more sustainable and compassionate society.

在科学和哲学的领域,因果关系的概念至关重要。每一个行动都有其后果,而这些后果通常可以被视为初始行动的corollaries(推论)。例如,考虑一下森林砍伐的行为。当大片森林被清除用于农业或城市开发时,直接结果是树木的损失。然而,corollaries(推论)远不止于此。树木的减少导致土壤侵蚀、生物多样性的下降,以及大气中二氧化碳水平的增加。这一系列事件说明了一个行动如何导致多个结果,每个结果都有其自身的影响。在日常生活中,我们会在各种情况下遇到corollaries(推论)。以教育为例。当学生投入时间和精力学习时,主要的结果是知识和技能的提高。这种奉献精神的corollaries(推论)可能包括更好的就业前景、更高的收入潜力,甚至自尊心的提升。每一个结果都是相互关联的,展示了学习这一原始行为如何产生深远的影响。此外,在社会行为的背景下,我们的行为的corollaries(推论)可以显著影响我们与他人的关系。如果某人始终对朋友表现出善良和支持,直接效果是加深了彼此的纽带。然而,这种行为的corollaries(推论)可能包括建立一个支持性的社交网络、增强信任感和归属感。相反,负面行为,如不诚实或背叛,可能导致关系的破裂,这突出了理解我们行为的corollaries(推论)重要性。在经济领域,财务决策的corollaries(推论)对个人和企业都至关重要。例如,当一家公司决定投资于可持续实践时,直接的好处可能是由于能源效率而降低运营成本。然而,这些corollaries(推论)也可能涉及增强品牌声誉、客户忠诚度和长期盈利能力。因此,理解财务选择的更广泛影响对于在当今竞争激烈的市场中取得成功至关重要。总之,corollaries(推论)的概念对于理解我们行动及其影响的复杂性至关重要。无论是在环境科学、教育、社会互动还是经济学中,认识到我们决策的corollaries(推论)使我们能够做出更明智的选择。通过考虑不仅是直接结果,还有潜在的连锁效应,我们可以以更大的意识和责任感穿越生活。行动与其corollaries(推论)之间的相互作用塑造了我们的世界,而理解这一关系是我们促进一个更可持续和富有同情心的社会的责任。