discriminant background

discriminant

/dɪˈskrɪmənənt/ /dɪˈskrɪmɪnənt/

Illustration discriminant - Image 1

noun

判别式

An expression that gives information about the roots of a polynomial; for example, the expression D = b2 - 4ac determines whether the roots of the quadratic equation ax2 + bx + c = 0 are real and distinct (D > 0), real and equal (D = 0) or complex (D < 0).

Examples :

"The discriminant of the quadratic equation representing Sarah's profit, where x is the number of products sold, helps determine if she will make a profit or lose money. "

代表萨拉利润的二次方程的判别式（其中x是售出的产品数量）有助于确定她是否会盈利或亏损。

Illustration discriminant - Image 1

noun

判别式，判别符。

The invariant (on the vector space of forms of degree d in n variables) that vanishes exactly when the corresponding hypersurface in Pn-1 is singular.

Examples :

"Because the discriminant of the quadratic equation describing the shape of the doorway is zero, the doorway has a singularity, meaning it's not a smooth, regular shape but has a cusp or point. "

由于描述门洞形状的二次方程的判别式为零，所以这个门洞存在奇点，也就是说，它的形状不是平滑规则的，而是有一个尖点或角点。

Illustration discriminant - Image 1

adjective

鉴别的，有辨别力的

Serving to discriminate.

Examples :

"The interviewer's discriminant questions helped to quickly identify the most qualified candidate from a large pool of applicants. "

面试官提出的具有鉴别力的问题，帮助他们从众多应聘者中快速识别出最合格的候选人。