sufficient condition

简明释义

充分条件

英英释义

例句

1.In order to pass the exam, scoring above 60% is a sufficient condition.

为了通过考试，得分超过60%是一个充分条件。

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

要将三角形分类为等边三角形，所有边相等是一个充分条件。

3.If you want to be promoted, meeting your sales targets is a sufficient condition.

如果你想晋升，达到你的销售目标是一个充分条件。

4.Having a valid driver's license is a sufficient condition for being allowed to drive a car.

拥有有效的驾驶执照是被允许驾驶汽车的充分条件。

5.Being a registered voter is a sufficient condition for participating in the election.

成为注册选民是参加选举的一个充分条件。

作文

In the realm of logic and mathematics, the concept of a sufficient condition is crucial for understanding relationships between different statements or propositions. A sufficient condition is defined as a condition that, if satisfied, guarantees the truth of a particular statement. This means that whenever the sufficient condition holds true, the outcome will also be true. However, it is important to note that while a sufficient condition can ensure an outcome, it is not necessarily the only way to achieve that outcome. For instance, consider the statement: "If it is raining, then the ground is wet." In this case, rain is a sufficient condition for the ground being wet. Whenever it rains, we can confidently say that the ground will be wet. However, there are other factors that could lead to the ground being wet, such as someone watering the garden or a spilled drink. Thus, while rain is a sufficient condition, it is not the only cause of wet ground.Understanding sufficient conditions is essential not just in mathematics, but also in everyday decision-making and reasoning. For example, when planning an event, having a venue booked is a sufficient condition for holding the event. If the venue is confirmed, the event can take place. However, other conditions, such as having a guest speaker or enough attendees, may also be necessary for the event to be successful. In contrast to a sufficient condition, we have what is known as a necessary condition. A necessary condition must be met for a statement to be true, but it does not guarantee that the statement will be true on its own. For example, having fuel in a car is a necessary condition for the car to run. Without fuel, the car cannot operate. However, having fuel alone is not enough; the car also needs to be in working order. This distinction between sufficient conditions and necessary conditions plays a significant role in various fields, including science, philosophy, and law. In scientific research, establishing sufficient conditions helps researchers determine causal relationships and make predictions based on experimental data. In philosophy, understanding these conditions aids in constructing sound arguments and avoiding logical fallacies. In law, identifying sufficient conditions can help in determining liability and responsibility in legal cases.In conclusion, the concept of a sufficient condition is vital for logical reasoning and critical thinking. It allows us to identify when certain conditions guarantee specific outcomes, helping us make informed decisions in various aspects of life. By recognizing the difference between sufficient conditions and necessary conditions, we can enhance our understanding of complex situations and improve our problem-solving skills. As we navigate through life's challenges, being aware of these logical principles can empower us to think more critically and strategically, ultimately leading to better outcomes in both personal and professional realms.

在逻辑和数学领域，sufficient condition（充要条件）的概念对于理解不同陈述或命题之间的关系至关重要。sufficient condition被定义为一种条件，如果满足，则保证特定陈述的真实性。这意味着每当sufficient condition成立时，结果也将是真实的。然而，重要的是要注意，尽管sufficient condition可以确保结果，但它并不一定是实现该结果的唯一方式。例如，考虑以下陈述：“如果下雨，那么地面是湿的。”在这种情况下，下雨就是地面湿润的sufficient condition。每当下雨时，我们可以自信地说地面会湿。然而，还有其他因素可能导致地面湿润，比如有人给花园浇水或洒了饮料。因此，虽然下雨是一个sufficient condition，但它并不是地面湿润的唯一原因。理解sufficient conditions不仅在数学中是必不可少的，而且在日常决策和推理中也同样重要。例如，在策划活动时，预订场地是举行活动的sufficient condition。如果场地得到确认，活动就可以进行。然而，其他条件，比如有嘉宾演讲者或足够的参与者，也可能是活动成功的必要条件。与sufficient condition相对的是所谓的必要条件。必要条件必须满足才能使陈述为真，但它并不能保证该陈述单独为真。例如，汽车里有燃料是汽车运行的必要条件。如果没有燃料，汽车无法运转。然而，仅有燃料是不够的；汽车还需要处于正常工作状态。这种对sufficient conditions和必要条件的区分在科学、哲学和法律等多个领域发挥着重要作用。在科学研究中，建立sufficient conditions帮助研究人员确定因果关系并根据实验数据做出预测。在哲学中，理解这些条件有助于构建合理的论证并避免逻辑谬误。在法律中，识别sufficient conditions可以帮助确定法律案件中的责任和义务。总之，sufficient condition的概念对于逻辑推理和批判性思维至关重要。它使我们能够识别某些条件何时保证特定结果，从而帮助我们在生活的各个方面做出明智的决定。通过认识到sufficient conditions和必要条件之间的区别，我们可以增强对复杂情况的理解并改善我们的解决问题的能力。当我们应对生活中的挑战时，意识到这些逻辑原则可以使我们更具批判性和战略性地思考，从而最终在个人和职业领域取得更好的结果。