French translation of quadrature is 
en quadrature

Meaning of "quadrature" in English

"Quadrature" refers to the process of determining the area of a plane figure by dividing it into various simple figures whose areas are easier to calculate. In mathematics, it often involves integral calculus to find areas under curves. Historically, quadrature has been used to describe the task of squaring a circle, which is constructing a square with the same area as a given circle, though this particular task was proven impossible using only geometrical methods. Quadrature is a fundamental concept in calculus and applied mathematics, with applications in various scientific fields.

Meaning of "en quadrature" in French

"En quadrature" in French is used to describe a type of phase relationship in physics and engineering. It means that two waves or periodic signals are out of phase by 90 degrees (one quarter of a cycle). This term is often used in the context of alternating current circuits, radio wave propagation, and signal processing. The concept is crucial in areas like telecommunications, where understanding phase relationships can impact the efficiency and clarity of signal transmission.

Pronunciation of "quadrature" in English

Phonetic Transcription: \ˈkwä-drə-ˌchu̇r, -chür\

Pronunciation Variations: In American English, "quadrature" is typically pronounced with a clear "kw" sound at the beginning, while in British English, the pronunciation may slightly differ, with a softer "kw" and emphasis on the second syllable.

Pronunciation of "en quadrature" in French

Phonetic Transcription: [ɑ̃ kwadʁa.tyʁ]

Pronunciation Variations: French pronunciation remains relatively consistent across regions, though slight variations in accent might make the "r" sound more guttural in some areas compared to others.

Sentence examples in English and translation to French

1. The mathematician worked tirelessly to solve the problem of quadrature. (Le mathématicien a travaillé sans relâche pour résoudre le problème de la quadrature.)
2. Calculating the quadrature of a circle was once considered an impossible task. (Calculer la quadrature d’un cercle était autrefois considéré comme une tâche impossible.)
3. Quadrature is essential in calculus for finding areas under curves. (La quadrature est essentielle en calcul pour trouver les aires sous les courbes.)
4. The concept of quadrature applies to both engineering and physics. (Le concept de quadrature s’applique à la fois à l’ingénierie et à la physique.)
5. Modern computers have made the quadrature of complex figures easier. (Les ordinateurs modernes ont rendu la quadrature de figures complexes plus facile.)
6. Quadrature methods are often used in numerical analysis. (Les méthodes de quadrature sont souvent utilisées en analyse numérique.)
7. Quadrature can also refer to integrating complex functions. (La quadrature peut également se référer à l’intégration de fonctions complexes.)
8. The engineer adjusted the circuit to correct the quadrature error. (L’ingénieur a ajusté le circuit pour corriger l’erreur de quadrature.)
9. Understanding quadrature is vital for advanced scientific research. (Comprendre la quadrature est vital pour la recherche scientifique avancée.)
10. The student learned about the history of quadrature in ancient mathematics. (L’étudiant a appris l’histoire de la quadrature dans les mathématiques anciennes.)

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

Synonyms: integration, area calculation, squaring.

Antonyms: -

Similar Words: calculus, geometry, trigonometry, approximation, mathematics, computation.

Synonyms, antonyms, and similar words for "en quadrature" in French

Synonyms: déphasé, hors phase.

Antonyms: en phase, aligné.

Similar Words: oscillation, onde, signal, synchronisation, modulation.

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