French translation of factorial is 
factorielle

Meaning of "factorial" in English

In mathematics, "factorial" refers to the product of all positive integers up to a specified number, denoted by that number followed by an exclamation point. For example, the factorial of 5, written as 5!, is equal to 5 × 4 × 3 × 2 × 1 = 120. Factorials are commonly used in permutations, combinations, and other mathematical calculations. The concept of factorial is pivotal in the field of combinatorics and plays a significant role in statistical formulae and various scientific calculations, aiding in understanding complex mathematical structures.

Meaning of "factorielle" in French

In French, "factorielle" carries the same mathematical meaning as its English counterpart. It represents the product of all positive integers up to a given number, indicated by that number with an exclamation mark. For instance, "3 factorielle" (written as 3!) is calculated as 3 × 2 × 1 = 6. Factorielle is vital in permutation and combination problems used in statistics and probability. This concept is essential in mathematical studies for solving equations and understanding patterns within numerical sequences, particularly within the fields of algebra and calculus.

Pronunciation of "factorial" in English

Phonetic Transcription: /fækˈtɔːriəl/

Pronunciation Variations: The pronunciation of "factorial" does not significantly vary across English dialects. However, slight variations might occur in the stress patterns or vowel sounds, with some regional accents placing more emphasis on certain syllables.

Pronunciation of "factorielle" in French

Phonetic Transcription: /faktɔʁjɛl/

Pronunciation Variations: In French, the pronunciation of "factorielle" remains mostly consistent, although slight variations might be noticed in different regions, particularly in the articulation of the 'r' sound or the final 'e'.

Sentence examples in English and translation to French

1. The factorial of zero is defined as one. (La factorielle de zéro est définie comme un.)
2. Calculating the factorial of 10 can be quite complex manually. (Calculer la factorielle de 10 peut être assez complexe manuellement.)
3. Factorials are used frequently in statistical formulas. (Les factorielles sont fréquemment utilisées dans les formules statistiques.)
4. Understanding factorials is crucial for combinatorics. (Comprendre les factorielles est crucial en combinatoire.)
5. The factorial function grows very quickly with larger numbers. (La fonction factorielle croît très rapidement avec des nombres plus grands.)
6. He used factorials to solve the permutation problem. (Il a utilisé des factorielles pour résoudre le problème de permutation.)
7. In programming, students learn to write functions to compute factorials. (En programmation, les étudiants apprennent à écrire des fonctions pour calculer des factorielles.)
8. She memorized the factorial values for her math exam. (Elle a mémorisé les valeurs factorielles pour son examen de mathématiques.)
9. A common mistake is to forget the factorial in probability equations. (Une erreur courante est d'oublier la factorielle dans les équations de probabilité.)
10. The factorial of five is lesser-known among beginners in mathematics. (La factorielle de cinq est moins connue des débutants en mathématiques.)

Synonyms, antonyms, and similar words for "factorial" in English

Synonyms: product, multiplication.

Antonyms: division.

Similar Words: computation, calculation, sequence, multiplication.

Synonyms, antonyms, and similar words for "factorielle" in French

Synonyms: -

Antonyms: -

Similar Words: calcul, multiplication, produit, séquence.

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