discriminant

简明释义

英[dɪˈskrɪmɪnənt]美[dɪˈskrɪmənənt]

n. 可资辨别的因素；（数）判别式

英英释义

单词用法

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例句

1.The quality of the bolus of Angong Niuhuang from twelve factories was comprehensively estimated by a method of multiple statistics cluster and discriminant analysis.

本文应用聚类判别分析的多元统计方法，对十二个厂家生产的安宫牛黄丸进行了综合质量评价。

2.Methods 892 patients affected by leprosy were assessed with SF-36. Split-half reliability, internal consistency, discriminant validity and construct validity of the scales were tested.

方法以问卷访谈的形式调查892名麻风治愈者，用分半信度、内部一致性、构想效度和结构效度等指标对SF-36量表进行评判。

3.To address the limitation that locality preserving projection (LPP) algorithm belongs to unsupervised, a novel approach, named as locality preserving discriminant analysis (LPDA) was proposed.

针对保局投影(LPP)为无监督算法的局限，提出了一种新的监督版的LPP，即保局判别分析(LPDA)算法。

4.Governing the results we have gotten, we can use step-by-step discriminant functions to identify non-core well flow units and take quantitative research.

依据对关键井流动单元划分的结果，运用逐步判别程序，确定了非关键井的流动单元判别函数，达到流动单元研究的定量化研究。

5.Correspondence analysis technique is more suitable to the research of TCM syndrome than chi-square test, discriminant analysis regression analysis, factor analysis.

对应分析技术与一般的卡方检验、判别分析、回归分析、因子分析等方法相比更适合中医证候的研究。

6.Select the items through the discrete trend analysis, factor analysis, stepwise regression analysis, discriminant analysis and Crowns Bach coefficient method to the survey result.

通过对调查结果进行离散趋势分析、因子分析、逐步回归分析、判别分析法和克朗巴赫系数法等分析方法筛选条目。

7.The optimal discriminant features of face are extracted using singular value decomposition and Fourier transform, and then they are classified by the nearest neighbor method. In...

然后对人脸图像做奇异值分解和离散傅立叶变换，并分别提取最佳鉴别变换特征，用最近邻方法进行分类。

8.This paper presents a determining function of bridge foundation form with discriminant method according to parameters of bridge foundations and slopes in southwest mountain railways.

根据西南山区铁路岩质边坡桥基参数及边坡参数的调查资料，利用两组判别方法，获得桥基形式的判别函数，为岩质边坡桥基形式设计作指导。

9.Then the problem of finding the optimal discriminant vectors subjected to such constraints is solved using the property that there exist a set of conjugate ort.

然后利用广义特征方程存在共轭正交的特征向量这一结论 ，巧妙地解决了该共轭正交条件下最优鉴别矢量集的求解问题 。

10.In quadratic equations, the value of the discriminant determines the nature of the roots.

在二次方程中，判别式的值决定了根的性质。

11.A positive discriminant indicates that there are two distinct real roots.

一个正的判别式表示有两个不同的实根。

12.If the discriminant is zero, the equation has exactly one real root.

如果判别式为零，则方程恰好有一个实根。

13.When analyzing data, the discriminant function helps in classifying observations.

在分析数据时，判别式函数有助于对观察结果进行分类。

14.In statistics, the discriminant analysis is used to determine which variables discriminate between different groups.

在统计学中，判别式分析用于确定哪些变量能够区分不同的组。

作文

In mathematics, particularly in algebra, the term discriminant refers to a specific value that can be calculated from the coefficients of a polynomial equation, most commonly a quadratic equation. The discriminant is crucial because it provides important information about the nature of the roots of the equation. For a quadratic equation of the form ax^2 + bx + c = 0, the discriminant is given by the formula D = b^2 - 4ac. This simple yet powerful formula helps us determine whether the roots are real or complex, and if they are real, whether they are distinct or repeated. Understanding the role of the discriminant is essential for solving quadratic equations effectively. When the discriminant is greater than zero (D > 0), it indicates that the quadratic equation has two distinct real roots. This means that the graph of the quadratic function intersects the x-axis at two points. On the other hand, if the discriminant is equal to zero (D = 0), it signifies that there is exactly one real root, which is often referred to as a repeated or double root. In this case, the graph touches the x-axis at just one point. Finally, when the discriminant is less than zero (D < 0), the equation has no real roots; instead, it has two complex roots. This scenario implies that the graph of the quadratic function does not intersect the x-axis at all. The concept of the discriminant extends beyond quadratic equations and can also be applied to higher-degree polynomials. However, its interpretation becomes more complex as the degree increases. In any case, the discriminant remains a vital tool in determining the properties of polynomial equations, and it plays a significant role in various fields such as physics, engineering, and economics where mathematical modeling is essential. In addition to its mathematical significance, the discriminant serves as a metaphor in various aspects of life. Just as the discriminant helps us understand the nature of roots in equations, we often seek to understand the underlying factors that influence our decisions and outcomes in life. For instance, when faced with a choice, we analyze the potential consequences and weigh our options, much like calculating the discriminant to predict the results of an equation. This analytical approach can lead to better decision-making, ultimately guiding us toward more favorable outcomes. Moreover, the concept of discriminant can also relate to social issues, particularly in discussions about discrimination. Discrimination, in a societal context, refers to the unjust treatment of individuals based on characteristics such as race, gender, or age. Understanding the factors that contribute to discrimination can be likened to analyzing a discriminant in mathematics. By identifying the root causes of inequality and prejudice, we can work towards creating a more equitable society. In conclusion, the discriminant is a fundamental concept in mathematics that provides valuable insights into the nature of polynomial equations. Its applications extend beyond the realm of mathematics, serving as a metaphor for decision-making and social awareness. By grasping the significance of the discriminant, we not only enhance our mathematical skills but also enrich our understanding of the world around us.

在数学中，特别是在代数中，术语discriminant指的是可以从多项式方程的系数计算出的特定值，最常见于二次方程。discriminant至关重要，因为它提供了关于方程根的性质的重要信息。对于形如ax^2 + bx + c = 0的二次方程，discriminant由公式D = b^2 - 4ac给出。这个简单却强大的公式帮助我们确定根是实数还是复数，如果是实数，则判断它们是不同的还是重复的。 理解discriminant的作用对于有效解决二次方程至关重要。当discriminant大于零（D > 0）时，表示二次方程有两个不同的实根。这意味着二次函数的图形在x轴上交于两个点。另一方面，如果discriminant等于零（D = 0），则表示恰好有一个实根，通常称为重复根或双重根。在这种情况下，图形仅在一个点上触及x轴。最后，当discriminant小于零（D < 0）时，方程没有实根；相反，它具有两个复根。这种情况意味着二次函数的图形根本不与x轴交叉。 discriminant的概念不仅限于二次方程，还可以应用于更高次的多项式。然而，随着次数的增加，其解释变得更加复杂。无论如何，discriminant仍然是确定多项式方程性质的重要工具，在物理、工程和经济学等多个领域中，数学建模至关重要。 除了其数学意义外，discriminant在生活的各个方面也可以作为隐喻。正如discriminant帮助我们理解方程根的性质一样，我们常常寻求理解影响我们决策和结果的潜在因素。例如，当面临选择时，我们分析潜在后果并权衡选项，就像计算discriminant以预测方程的结果。这种分析方法可以导致更好的决策，最终引导我们朝着更有利的结果前进。 此外，discriminant的概念也与社会问题相关，特别是在讨论歧视时。歧视在社会背景下指的是基于种族、性别或年龄等特征对个人的不公正对待。理解导致歧视的因素可以比作分析数学中的discriminant。通过识别不平等和偏见的根本原因，我们可以努力创建一个更公平的社会。 总之，discriminant是数学中的一个基本概念，提供了关于多项式方程性质的宝贵见解。它的应用超越了数学领域，成为决策和社会意识的隐喻。通过掌握discriminant的重要性，我们不仅提高了数学技能，还丰富了对周围世界的理解。