global maximum

简明释义

总体极大值

英英释义

例句

1.The algorithm successfully identified the global maximum 全局最大值 of the function within the given constraints.

该算法成功识别了给定约束条件下函数的global maximum 全局最大值。

2.In machine learning, achieving a global maximum 全局最大值 can significantly improve model accuracy.

在机器学习中，实现global maximum 全局最大值 可以显著提高模型的准确性。

3.The software tool helps in visualizing the global maximum 全局最大值 of the data set.

该软件工具有助于可视化数据集的global maximum 全局最大值。

4.Researchers aim to find the global maximum 全局最大值 when modeling complex systems.

研究人员在建模复杂系统时，旨在寻找global maximum 全局最大值。

5.In optimization problems, finding the global maximum 全局最大值 is crucial for determining the best solution.

在优化问题中，找到global maximum 全局最大值 对于确定最佳解决方案至关重要。

作文

In the field of mathematics and optimization, the term global maximum refers to the highest point in a given function over its entire domain. This concept is crucial for various applications, including economics, engineering, and data science. Understanding the global maximum can help us make better decisions based on the most optimal outcomes available. For instance, when analyzing profit functions, businesses strive to identify the global maximum to maximize their profits. To illustrate this idea, consider a simple function that models the relationship between the price of a product and the quantity sold. If we graph this function, we can observe several peaks and valleys. The global maximum is the highest peak, representing the optimal price point at which the company can sell the maximum number of products while maximizing revenue. Identifying this point requires careful analysis and sometimes complex calculations, but the payoff can be substantial. Moreover, the significance of the global maximum extends beyond just mathematical functions. In real-world scenarios, it often represents the best possible outcome among various alternatives. For example, in project management, teams may evaluate different strategies to complete a project efficiently. The strategy that yields the highest overall success rate can be considered the global maximum of their options. However, finding the global maximum can be challenging, especially in non-linear or multi-dimensional spaces. In such cases, there may be multiple local maxima, which are points that are higher than their immediate surroundings but not necessarily the highest overall. Distinguishing between these local maxima and the true global maximum requires advanced techniques such as gradient ascent or other optimization algorithms. In summary, the concept of global maximum is integral to various fields, guiding decision-making processes and helping individuals and organizations reach their highest potential. By identifying the global maximum, we can optimize our strategies, enhance our performance, and achieve the best possible results. As we continue to explore and apply this concept, it becomes increasingly clear that understanding the global maximum is essential for success in many areas of life, from business to personal development. In conclusion, grasping the meaning and implications of the global maximum allows us to navigate complex problems more effectively. Whether we are working with mathematical functions or making strategic decisions, the pursuit of the global maximum enables us to unlock new opportunities and achieve excellence in our endeavors.

在数学和优化领域，术语global maximum指的是在给定函数的整个定义域内的最高点。这个概念对于经济学、工程学和数据科学等多个应用至关重要。理解global maximum可以帮助我们基于可用的最佳结果做出更好的决策。例如，在分析利润函数时，企业努力识别global maximum以最大化其利润。为说明这一观点，考虑一个简单的函数，它模拟产品价格与销售数量之间的关系。如果我们绘制这个函数的图形，可以观察到几个峰值和谷值。global maximum是最高的峰值，代表公司在最大化收入的同时能够销售最大数量产品的最佳价格点。识别这一点需要仔细分析，有时还需要复杂的计算，但回报可能是巨大的。此外，global maximum的重要性不仅限于数学函数。在现实场景中，它通常代表多种选择中最好的结果。例如，在项目管理中，团队可能会评估不同的策略，以高效完成项目。产生最高整体成功率的策略可以被视为他们选项的global maximum。然而，寻找global maximum可能具有挑战性，尤其是在非线性或多维空间中。在这种情况下，可能存在多个局部最大值，即比其周围环境高的点，但不一定是整体最高点。区分这些局部最大值和真正的global maximum需要先进的技术，例如梯度上升或其他优化算法。总之，global maximum的概念对于各个领域都是不可或缺的，它指导决策过程，帮助个人和组织实现其最高潜力。通过识别global maximum，我们可以优化我们的策略，提高我们的表现，并获得最佳结果。随着我们继续探索和应用这一概念，越来越明显的是，理解global maximum对于许多生活领域的成功至关重要，从商业到个人发展。最后，掌握global maximum的含义及其影响使我们能够更有效地应对复杂问题。无论我们是在处理数学函数，还是在做出战略决策，追求global maximum使我们能够解锁新的机会，在我们的努力中实现卓越。