sufficient condition

简明释义

充分条件

英英释义

例句

1.Having a degree is a sufficient condition for applying to this job.

拥有学位是申请这份工作的充要条件。

2.If you want to win the game, scoring the highest points is a sufficient condition.

如果你想赢得比赛，得分最高是一个充要条件。

3.Being a citizen is a sufficient condition for voting in elections.

成为公民是参加选举投票的一个充要条件。

4.In order to be eligible for the scholarship, maintaining a GPA above 3.5 is a sufficient condition.

为了获得奖学金，保持3.5以上的GPA是一个充要条件。

5.For a triangle to be classified as equilateral, having all sides equal is a sufficient condition.

一个三角形被分类为等边三角形的条件是所有边相等，这是一个充要条件。

作文

In the realm of logic and mathematics, understanding the concepts of necessary and sufficient condition is crucial. A sufficient condition is a condition or set of conditions that, if satisfied, guarantees the truth of a statement. In simpler terms, if condition A is a sufficient condition for condition B, then whenever A is true, B must also be true. However, it is important to note that B can still be true without A being true. This distinction is vital in various fields, especially in mathematics and philosophy.For instance, consider the statement: "If it is raining, then the ground is wet." Here, "it is raining" is a sufficient condition for "the ground is wet." Whenever it rains, we can confidently say that the ground will be wet. However, the ground can also be wet for other reasons, such as someone watering the garden or a spilled drink. Therefore, while rain is a sufficient condition, it is not a necessary one for the ground to be wet.This concept can also be applied in everyday decision-making. For example, having a college degree might be considered a sufficient condition for getting a job in certain fields. If an employer states that a degree is required, then possessing that degree ensures employment. However, it does not mean that a candidate without a degree cannot get the job; they may possess other qualifications or experiences that make them suitable for the position. Thus, while a degree is a sufficient condition, it is not the only path to success.Understanding sufficient condition is also essential in scientific experimentation. When conducting experiments, researchers often establish certain conditions that must be met to achieve desired outcomes. For example, if a scientist states that a specific temperature is a sufficient condition for a chemical reaction to occur, it means that achieving that temperature will guarantee the reaction. However, other factors may also influence the reaction, indicating that the temperature alone is not the only requirement.In conclusion, grasping the idea of sufficient condition enhances our analytical skills. It helps us differentiate between what guarantees a result and what merely contributes to it. By recognizing these distinctions, we can make more informed decisions and better understand the world around us. Whether in mathematics, philosophy, or everyday life, the concept of sufficient condition plays a significant role in shaping our reasoning and understanding of various scenarios. As we continue to explore different fields of knowledge, the importance of this concept will remain evident, guiding us toward clearer thinking and more logical conclusions.

在逻辑和数学的领域中，理解必要条件和sufficient condition的概念至关重要。sufficient condition是一个条件或一组条件，如果满足，就保证一个陈述的真实性。简单来说，如果条件A是条件B的sufficient condition，那么每当A为真时，B也必须为真。然而，重要的是要注意，B仍然可以在A不为真的情况下为真。这一区别在各个领域中都是至关重要的，尤其是在数学和哲学中。例如，考虑这个陈述：“如果下雨，那么地面是湿的。”在这里，“下雨”是“地面湿”的sufficient condition。每当下雨时，我们可以自信地说，地面将会湿。然而，地面也可能因为其他原因而湿，比如有人浇花或饮料洒了。因此，尽管下雨是一个sufficient condition，但它并不是地面湿的必要条件。这个概念也可以应用于日常决策中。例如，拥有大学学位可能被视为某些领域获得工作的sufficient condition。如果雇主声明需要学位，那么拥有该学位就确保了就业。然而，这并不意味着没有学位的候选人不能得到这份工作；他们可能拥有其他资格或经验，使他们适合该职位。因此，虽然学位是一个sufficient condition，但它并不是通向成功的唯一途径。理解sufficient condition在科学实验中也至关重要。在进行实验时，研究人员通常会建立一些必须满足的条件，以实现所需的结果。例如，如果科学家表示特定温度是化学反应发生的sufficient condition，这意味着达到该温度将保证反应的发生。然而，其他因素也可能影响反应，这表明温度本身并不是唯一的要求。总之，掌握sufficient condition的概念增强了我们的分析能力。它帮助我们区分什么保证了结果，什么仅仅是贡献于结果。通过认识到这些区别，我们可以做出更明智的决策，更好地理解我们周围的世界。无论是在数学、哲学还是日常生活中，sufficient condition的概念在塑造我们的推理和对各种情境的理解中发挥着重要作用。随着我们继续探索不同的知识领域，这一概念的重要性将依然显而易见，引导我们走向更清晰的思考和更合乎逻辑的结论。