point of inflection
简明释义
弯曲点
英英释义
A point on a curve where the curvature changes sign, indicating a transition from concave to convex or vice versa. | 曲线上曲率改变符号的点,表示从凹形转变为凸形或反之。 |
例句
1.The company reached a point of inflection 拐点 in its sales when it introduced the new product line.
公司在推出新产品线时达到了销售的拐点.
2.The point of inflection 拐点 in the graph indicates a change in the trend of data.
图中的拐点指示数据趋势的变化.
3.This year marks a point of inflection 拐点 for our marketing strategy as we shift towards digital channels.
今年是我们营销策略的一个拐点,因为我们转向数字渠道.
4.After several years of steady growth, the startup hit a point of inflection 拐点 that led to rapid expansion.
经过几年的稳定增长,这家初创公司达到了一个拐点,导致了快速扩张.
5.The point of inflection 拐点 in technology often leads to revolutionary changes in how we live.
技术上的拐点通常会导致我们生活方式的革命性变化.
作文
In life, we often encounter moments that can be described as a point of inflection. These are pivotal moments where significant changes occur, leading to new paths and opportunities. Understanding the concept of a point of inflection is crucial as it can help us navigate through challenges and embrace growth. In mathematics, a point of inflection refers to a point on a curve where the curvature changes sign. This idea can also be applied metaphorically to our lives. For instance, consider the journey of a student. At the beginning of their academic career, they may face various struggles such as adapting to new environments, managing time effectively, or dealing with peer pressure. However, there often comes a moment—a point of inflection—where everything shifts. Perhaps it’s the day they receive a high grade on an important exam or the moment they discover a passion for a particular subject. This newfound motivation can lead them to excel in their studies, ultimately shaping their future. Similarly, in the professional world, an individual might experience a point of inflection when they receive a job offer that aligns perfectly with their career aspirations. This opportunity could propel them into a new role that challenges them and allows them to grow. The decision to accept this job can change the trajectory of their career, leading to further advancements and achievements. Moreover, personal relationships also undergo points of inflection. A friendship may deepen after a heartfelt conversation, or a romantic relationship might take a significant turn after a shared experience. These moments can redefine how we view ourselves and others, leading to stronger bonds and more meaningful connections. It is essential to recognize that not all points of inflection are positive. Some may arise from adversity, such as losing a job or experiencing a breakup. However, these challenging moments can also serve as catalysts for change. They force us to reevaluate our priorities and make necessary adjustments in our lives. For example, someone who loses their job may find the opportunity to pursue their dream career, which they had previously set aside. In conclusion, a point of inflection is a transformative moment that can significantly impact our lives. Whether it’s in academics, career, or personal relationships, recognizing these moments allows us to appreciate growth and change. Embracing the point of inflection can lead to new beginnings and opportunities that we may have never considered before. Thus, it is vital to remain open to change and to recognize that every point of inflection holds the potential for growth and transformation.
在生活中,我们常常会遇到被称为拐点的时刻。这些是关键时刻,重大变化发生,导致新的道路和机会。理解拐点的概念至关重要,因为它可以帮助我们应对挑战并拥抱成长。在数学中,拐点指的是曲线上曲率改变符号的点。这个概念也可以隐喻地应用于我们的生活。例如,考虑一个学生的旅程。在他们的学术生涯开始时,他们可能面临各种挣扎,例如适应新环境、有效管理时间或应对同龄人的压力。然而,通常会有一个时刻——一个拐点——一切发生转变。也许是他们在一次重要考试中获得高分的那一天,或者是他们发现对某个特定学科的热情的时刻。这种新发现的动力可以使他们在学习上表现出色,最终塑造他们的未来。同样,在职业世界中,一个人可能会经历一个拐点,当他们收到一份与职业愿望完全一致的工作邀请时。这个机会可能将他们推向一个新的角色,挑战他们并使他们成长。接受这份工作的决定可以改变他们职业的轨迹,带来进一步的进步和成就。此外,人际关系也会经历拐点。一段友谊可能在一次发自内心的对话后加深,或者一段浪漫关系可能在一次共同经历后发生重大转变。这些时刻可以重新定义我们对自己和他人的看法,导致更强的纽带和更有意义的联系。认识到并非所有的拐点都是积极的。有些可能源于逆境,例如失去工作或经历分手。然而,这些挑战性的时刻也可以作为变革的催化剂。它们迫使我们重新评估优先事项,并在生活中做出必要的调整。例如,失去工作的人可能会找到追求他们一直搁置的梦想职业的机会。总之,拐点是一个变革性时刻,可以显著影响我们的生活。无论是在学业、职业还是个人关系中,识别这些时刻使我们能够欣赏成长和变化。拥抱拐点可以引领我们走向新的开始和我们可能从未考虑过的机会。因此,保持对变化的开放态度至关重要,并认识到每一个拐点都蕴含着成长和转变的潜力。