heavy gradient
简明释义
陡梯度
英英释义
A steep or significant change in a variable, often referring to the rate of change in a function or the intensity of a phenomenon. | 在一个变量中急剧或显著的变化,通常指的是函数中的变化率或现象的强度。 |
例句
1.The mountain trail is challenging due to the heavy gradient 陡峭的坡度, making it difficult for inexperienced hikers.
这条山间小径因其heavy gradient 陡峭的坡度而具有挑战性,使得缺乏经验的徒步旅行者很难行走。
2.Cyclists often struggle with the heavy gradient 陡峭的坡度 during long climbs.
在长时间的爬坡过程中,骑自行车的人常常会与heavy gradient 陡峭的坡度作斗争。
3.When driving in hilly areas, one must be cautious of the heavy gradient 陡峭的坡度 that can affect vehicle control.
在丘陵地区驾驶时,必须小心heavy gradient 陡峭的坡度,这可能会影响车辆的控制。
4.The engineers designed the road to minimize the effects of the heavy gradient 陡峭的坡度 on traffic flow.
工程师们设计了这条道路,以尽量减少heavy gradient 陡峭的坡度对交通流量的影响。
5.The ski resort features slopes with a heavy gradient 陡峭的坡度 suitable for advanced skiers.
这个滑雪胜地的滑道有着适合高级滑雪者的heavy gradient 陡峭的坡度。
作文
In the world of mathematics and physics, the concept of a heavy gradient refers to a steep incline or a significant change in value over a small distance. This term is often used in various fields such as engineering, environmental science, and economics to describe situations where there is a rapid transition in a particular variable. For instance, when analyzing the topography of a mountainous region, one might encounter areas with a heavy gradient, indicating that the elevation changes drastically within a short horizontal distance. Such steep slopes can pose challenges for construction projects, as they require specialized techniques to ensure stability and safety.In the context of climate change, scientists often discuss the heavy gradient of temperature increase observed in specific regions. For example, polar areas are experiencing much faster warming compared to the global average. This heavy gradient in temperature change can lead to severe ecological impacts, including the melting of ice caps and rising sea levels. Understanding these gradients is crucial for predicting future climate patterns and implementing effective environmental policies.Economists also utilize the term heavy gradient to describe disparities in wealth distribution across different regions. In urban areas, one might find a heavy gradient in property values, where affluent neighborhoods exist in close proximity to impoverished ones. This stark contrast can result in social tension and necessitates targeted interventions to promote equitable development.Moreover, in machine learning, the concept of a heavy gradient is relevant during the training of models. When optimizing algorithms, a heavy gradient indicates that the model's parameters are changing rapidly, which can be both an advantage and a disadvantage. If the gradient is too steep, it may lead to overshooting the optimal solution, resulting in poor performance. Therefore, understanding how to manage heavy gradients is essential for developing robust machine learning applications.In conclusion, the term heavy gradient encapsulates the idea of significant change occurring over a brief interval, whether in physical landscapes, climate science, economic disparities, or technological advancements. Recognizing and analyzing these gradients allows professionals across various disciplines to address challenges effectively and make informed decisions. As we navigate through complex issues in our world today, the ability to comprehend and respond to heavy gradients will undoubtedly play a pivotal role in shaping a sustainable and equitable future.
在数学和物理的世界中,‘heavy gradient’(陡峭梯度)的概念指的是在短距离内显著变化的情况。这个术语常用于工程、环境科学和经济学等多个领域,以描述某个变量迅速变化的情形。例如,在分析山区的地形时,可能会遇到‘heavy gradient’,这表明海拔在短水平距离内剧烈变化。这种陡坡可能对建筑项目构成挑战,因为它们需要专业技术以确保稳定性和安全性。在气候变化的背景下,科学家们经常讨论特定地区观察到的温度上升的‘heavy gradient’。例如,极地地区的变暖速度远快于全球平均水平。这种温度变化的‘heavy gradient’可能导致严重的生态影响,包括冰盖融化和海平面上升。理解这些梯度对于预测未来的气候模式和实施有效的环境政策至关重要。经济学家也利用‘heavy gradient’来描述不同地区财富分配的差异。在城市区域,人们可能会发现房产价值存在‘heavy gradient’,富裕社区与贫困社区之间距离很近。这种鲜明对比可能导致社会紧张,需要有针对性的干预措施来促进公平发展。此外,在机器学习中,‘heavy gradient’的概念在模型训练期间也很相关。在优化算法时,‘heavy gradient’表示模型参数变化迅速,这既可以是优势也可以是劣势。如果梯度过陡,可能会导致超越最优解,从而导致性能不佳。因此,理解如何管理‘heavy gradients’对于开发稳健的机器学习应用至关重要。总之,‘heavy gradient’这一术语概括了在短时间内发生显著变化的想法,无论是在自然景观、气候科学、经济差异还是技术进步中。识别和分析这些梯度使各个学科的专业人士能够有效应对挑战并做出明智决策。当我们在当今复杂问题中航行时,理解和响应‘heavy gradients’的能力无疑将在塑造可持续和公平的未来中发挥关键作用。
相关单词