discriminant background

discriminant

/dɪˈskrɪmənənt/ /dɪˈskrɪmɪnənt/

Illustration discriminant - Image 1

noun

判別式

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. "

xを販売された製品の数とするサラの利益を表す二次方程式の判別式は、彼女が利益を出すか、それとも損失を出すかを判断するのに役立ちます。

Illustration discriminant - Image 1

noun

判別式

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. "

出入口の形状を表す二次方程式の判別式がゼロであるため、出入口は特異点を持っており、これは滑らかで規則的な形状ではなく、尖点または点があることを意味します。

Illustration discriminant - Image 1

adjective

識別的な

Serving to discriminate.

Examples :

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

面接官の識別的な質問は、多数の応募者の中から最も適格な候補者を迅速に特定するのに役立ちました。