🇩🇪German Source WordCode: DE

Leitkoeffizient

Pronunciation / Transliteration: ˈlaɪt.ko.ɛ.fiˌtsi̯ɛnt

🇬🇧 Direct English Meaning:
Leading-coefficient/ˈliː.dɪŋ ˌkoʊ.ɪˈfɪʃ.ənt/
nounCEFR C1 (Advanced)Top #14500 frequency
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🇩🇪 Example Sentence in German:

"Der Leitkoeffizient bestimmt das Verhalten des Polynoms im Unendlichen."

Comprehensive Definitions & Senses

1 sense
As noun
  1. 1

    The coefficient of the term of highest degree in a polynomial.

    "In the polynomial 4x^3 + 2x - 5, the leading-coefficient is 4."

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Antonyms & Contrasting Words (1)

Linguistic Origin & Historical Etymology

The term combines the present participle of 'lead' (from Old English 'lǣdan', meaning to guide or go before) with 'coefficient' (coined in the 17th century from Latin 'co-', together with, plus 'efficere', to effect or accomplish). In algebraic terminology, it evolved to designate the numerical factor multiplying the highest-degree term of a polynomial, which 'leads' or determines the polynomial's primary asymptotic behavior.

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