discriminant: meaning, definition, pronunciation and examples

C2
UK/dɪˈskrɪmɪnənt/US/dɪˈskrɪmənənt/

Technical / Academic

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Quick answer

What does “discriminant” mean?

A mathematical expression or parameter used to determine the nature or number of solutions of an equation.

Audio

Pronunciation

Definition

Meaning and Definition

A mathematical expression or parameter used to determine the nature or number of solutions of an equation.

In algebra, the discriminant of a polynomial equation (especially quadratic) is a function of its coefficients that provides information about its roots. In a broader context, it can refer to any distinguishing feature or factor used for classification or making distinctions.

Dialectal Variation

British vs American Usage

Differences

No significant differences in meaning or usage. Spelling of related words (e.g., 'analysing' vs. 'analyzing') may vary, but 'discriminant' itself is spelled identically.

Connotations

Neutral and purely technical in both dialects.

Frequency

Extremely low frequency in general language but standard within academic and technical registers worldwide.

Grammar

How to Use “discriminant” in a Sentence

The discriminant of [polynomial/equation] is [value].Calculate the discriminant.If the discriminant is positive...In discriminant analysis, ...

Vocabulary

Collocations

strong
quadratic discriminantcalculate the discriminantpositive discriminantnegative discriminantzero discriminantdiscriminant functiondiscriminant analysis
medium
value of the discriminantfind the discriminantpolynomial discriminantdiscriminant is positivediscriminant is negative
weak
large discriminantsmall discriminantuse the discriminantcompute the discriminant

Examples

Examples of “discriminant” in a Sentence

adjective

British English

  • The discriminant value was crucial for the proof.

American English

  • Discriminant analysis is a key statistical method.

Usage

Meaning in Context

Business

Rare; only in advanced analytics or data science contexts (e.g., 'discriminant analysis for customer segmentation').

Academic

Primary domain. Used in mathematics, algebra, statistics, and engineering courses and literature.

Everyday

Virtually never used.

Technical

Core technical term in mathematics, physics, computer algorithms (e.g., machine learning), and signal processing.

Vocabulary

Synonyms of “discriminant”

Neutral

distinguishing factordeterminant

Watch out

Common Mistakes When Using “discriminant”

  • Confusing 'discriminant' with 'discrimination' (social context).
  • Misspelling as 'discriminent' or 'discriminante'.
  • Using it outside of a technical/mathematical context.

FAQ

Frequently Asked Questions

No. 'Discriminant' is a precise mathematical term. 'Discrimination' refers to the unjust treatment of people or, more generally, the ability to recognize distinctions.

Yes, primarily in technical compounds like 'discriminant function' or 'discriminant analysis'.

Rarely. Its primary use is in mathematics and related fields (stats, engineering). Any other use is a direct extension of its mathematical meaning.

UK: /dɪˈskrɪmɪnənt/ (stress on 'scrim'). US: /dɪˈskrɪmənənt/ (with a schwa in the third syllable).

A mathematical expression or parameter used to determine the nature or number of solutions of an equation.

Discriminant is usually technical / academic in register.

Learning

Memory Aids

Mnemonic

Think: 'DISCRIMINANT' helps DISCRIMINATE between different types of solutions (real, repeated, complex).

Conceptual Metaphor

A LITMUS TEST for equations (determines their character).

Practice

Quiz

Fill in the gap
For the equation ax²+bx+c=0, the is given by b²-4ac.
Multiple Choice

What does a negative discriminant indicate for a quadratic equation?