French translation of
octic
is
octique
Meaning of "octic" in English
In mathematics, "octic" refers to an algebraic term related to the eighth degree, particularly polynomial equations or surfaces of degree eight. These polynomials have the general form of ax^8 + bx^7 + cx^6 + ... + hx + i = 0, where a, b, c, ..., i are constants, and a is non-zero. The term "octic" comes from the Latin "octo," meaning eight. Understanding octic equations is essential in higher-level mathematics, especially in fields that involve complex problem-solving and modeling.
Meaning of "octique" in French
The term "octique" in French also pertains to mathematical concepts, specifically to algebraic equations or expressions of the eighth degree. Just like in English, an "équation octique" refers to one with the highest degree being eight, involving a non-zero leading coefficient. This term, coming from "octo," underscores the importance in advanced algebra and calculus, where understanding the nuances of such equations is crucial for solving complex mathematical problems.
Pronunciation of "octic" in English
Phonetic Transcription: /ˈɒk.tɪk/
Pronunciation Variations: The pronunciation remains fairly consistent across different English dialects, although in some regions, variations in accent may slightly affect the vowel sounds, such as more emphasis on the "o" or a slightly longer "i."
Pronunciation of "octique" in French
Phonetic Transcription: /ɔk.tik/
Pronunciation Variations: In French, the pronunciation tends to be consistent, though regional accents might slightly alter the intonation or emphasis on syllables, common in spoken French across different regions.
Sentence examples in English and translation to French
- The mathematician solved an octic equation. (Le mathématicien a résolu une équation octique.)
- Understanding octic polynomials is challenging for students. (Comprendre les polynômes octiques est un défi pour les étudiants.)
- Her research focused on the properties of octic curves. (Sa recherche s'est concentrée sur les propriétés des courbes octiques.)
- The octic function required complex analysis techniques. (La fonction octique nécessitait des techniques d'analyse complexes.)
- He presented his findings on octic surfaces at the conference. (Il a présenté ses résultats sur les surfaces octiques à la conférence.)
- Many mathematical models involve octic elements. (De nombreux modèles mathématiques impliquent des éléments octiques.)
- The octic polynomial had eight distinct roots. (Le polynôme octique avait huit racines distinctes.)
- Scientists used octic equations to model the phenomenon. (Les scientifiques ont utilisé des équations octiques pour modéliser le phénomène.)
- Solving octic expressions is often a computational challenge. (Résoudre des expressions octiques est souvent un défi computationnel.)
- Her thesis explored octic series and their applications. (Sa thèse a exploré les séries octiques et leurs applications.)
Synonyms, antonyms, and similar words for "octic" in English
Synonyms: eighth-degree polynomial, eight-degree, algebraic degree eight.
Antonyms: nonic, seventh-degree polynomial, lower-degree polynomial.
Similar Words: quartic, quintic, sextic, degree, polynomial.
Synonyms, antonyms, and similar words for "octique" in French
Synonyms: polynôme de degré huit, équation de huitième degré.
Antonyms: nonique, septième degré, polynôme de degré inférieur.
Similar Words: quartique, quintique, sextique, degré, polynôme.
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