extrema

简明释义

英[ɪksˈtriːmə]美[ekˈstriːmə]

n. 极值

英英释义

单词用法

同义词

反义词

例句

1.Finally, considers the applications of compound extrema-deviation to quality control.

最后简介复合极差控制图在质量管理中的应用。

2.The statistical stability can be maximized if the scarce extrema including these isolated maxima are counted statistically as the regional extrema.

对包含极大点数据的稀遇极值用区域极值进行统计，显著提高了结果的稳定性。

3.A reconstruction algorithm by cubic spline function interpolation, which is used to recover a signal from its dyadic wavelet transform extrema is proposed in this paper.

本文提出了用样条插值重构算法来实现由信号二进小波变换极值点重构原始信号。

4.On the interface where there are non-horizontal fractures, reflection coefficient of P-P wave has more extrema to show complexity and to fail to directly indicate fracture strike.

在由非水平裂隙构成的界面上，P-P波反射系数会出现更多的极值而变得较为复杂，且不能直接指示裂隙走向。

5.Using those extrema, you find the minimum/maximum X/Y coordinates across all queries and, thus, have the overall extent.

再根据那些极值，发现所有查询中的最小/最大X/Y坐标，从而获得总的范围。

6.The resulting average wave is analyzed so that each waveform is analyzed to identify the extrema and inflection points of each reflected pulse.

将所得到的平均波进行分析，以便对每个波形进行分析，以确定每个反射脉冲的极值点和转折点。

7.The adaptive search technique enables local search to head for local extrema quickly.

由于应用了自适应搜索技术，局部搜索能够快速找到局部极值。

8.It is proved that the algorithm is not only noise-resistant in salient extrema detection, but also applicable to a wide range of applications.

实践证明，该算法不仅具有较好的抗噪声特性，而且快速实用，具有广泛的应用价值。

9.In calculus, we often find the extrema of a function to determine its maximum and minimum values.

在微积分中，我们常常找到一个函数的极值以确定其最大值和最小值。

10.The extrema of the dataset indicate the range of values present in the sample.

数据集的极值指示样本中存在的值范围。

11.To optimize the design, engineers must analyze the extrema of the stress distribution.

为了优化设计，工程师必须分析应力分布的极值。

12.Finding the extrema of a polynomial function can be done using derivatives.

可以通过使用导数来找到多项式函数的极值。

13.The extrema of the temperature readings were recorded during the experiment.

实验期间记录了温度读数的极值。

作文

In the study of mathematics, particularly in calculus, the concept of extrema (极值) is fundamental. It refers to the maximum and minimum values that a function can achieve within a given interval. Understanding extrema (极值) is essential for solving various problems, ranging from optimizing functions to analyzing real-world phenomena. For instance, consider a scenario where a farmer wants to maximize the area of a rectangular field with a fixed perimeter. The dimensions of the field can be represented by a function, and by applying calculus, the farmer can find the extrema (极值) of that function to determine the optimal length and width. This example illustrates how crucial the understanding of extrema (极值) is in practical applications. Moreover, extrema (极值) can also be found in various scientific fields. For example, in physics, when studying the trajectory of a projectile, the highest point reached is an extrema (极值) of its height function. By analyzing this extrema (极值), scientists can derive important information about the motion, such as the time it takes to reach that height and the initial velocity required. In economics, businesses often seek to maximize profits or minimize costs, which involves finding the extrema (极值) of profit and cost functions. By determining these extrema (极值), companies can make informed decisions that enhance their financial performance. Thus, the concept of extrema (极值) transcends mathematics and finds relevance across diverse disciplines. To effectively identify extrema (极值), one must apply certain techniques. Calculus provides tools such as the first and second derivative tests to locate these points. The first derivative indicates where the slope of the function is zero, which suggests potential extrema (极值). The second derivative helps determine whether these points are maxima or minima based on the concavity of the function at those points. In conclusion, the concept of extrema (极值) is not only a pillar of mathematical theory but also a practical tool that aids in decision-making across various fields. From maximizing agricultural output to optimizing business strategies, understanding extrema (极值) allows individuals and organizations to achieve their goals more efficiently. As we continue to explore the applications of calculus and its principles, the significance of extrema (极值) will undoubtedly remain a topic of great importance and interest.

在数学学习中，尤其是微积分，extrema（极值）的概念是基础的。它指的是一个函数在给定区间内可以达到的最大值和最小值。理解extrema（极值）对于解决各种问题至关重要，这些问题从优化函数到分析现实世界现象。 例如，考虑一个场景，农民希望在固定周长的情况下最大化矩形田地的面积。田地的尺寸可以用一个函数表示，通过应用微积分，农民可以找到该函数的extrema（极值），以确定最佳的长度和宽度。这个例子说明了理解extrema（极值）在实际应用中的重要性。 此外，extrema（极值）也可以在各种科学领域中找到。例如，在物理学中，当研究抛体的轨迹时，达到的最高点是其高度函数的一个extrema（极值）。通过分析这个extrema（极值），科学家可以推导出关于运动的重要信息，例如达到该高度所需的时间和初始速度。因此，extrema（极值）的概念超越了数学，并在不同学科中具有相关性。 为了有效地识别extrema（极值），必须应用某些技术。微积分提供了工具，例如一阶和二阶导数测试，以定位这些点。一阶导数指示函数的斜率为零的地方，这表明潜在的extrema（极值）。二阶导数帮助确定这些点是最大值还是最小值，基于函数在这些点的凹凸性。 总之，extrema（极值）的概念不仅是数学理论的支柱，也是一个实用工具，帮助各个领域的决策。从最大化农业产出到优化商业策略，理解extrema（极值）使个人和组织能够更有效地实现目标。随着我们继续探索微积分及其原理的应用，extrema（极值）的意义无疑将保持重要性和兴趣的话题。