French translation of quaternion is 
quaternion

Meaning of "quaternion" in English

In English, a "quaternion" is a mathematical concept used to extend complex numbers. It involves a number system that extends the complex numbers, typically expressed as a sum of a real number and three imaginary units. Quaternions were first described by mathematician Sir William Rowan Hamilton in the 19th century and have applications in three-dimensional computer graphics, robotics, and physics for representing orientations and rotations.

Meaning of "quaternion" in French

In French, the term "quaternion" maintains the same definition as in English. It refers to a mathematical construct extending complex numbers to four dimensions, involving one real part and three imaginary parts. Used primarily in mathematical theory, computer graphics, and physics, quaternions allow for the representation of three-dimensional rotations and orientations. Introduced by Hamilton, they are key to understanding and performing calculations involving rotational dynamics and spatial transformations.

Pronunciation of "quaternion" in English

Phonetic Transcription: /kwəˈtɜːrniən/

Pronunciation Variations: The pronunciation of "quaternion" is relatively consistent across different English-speaking regions, though the emphasis on syllables might vary slightly with regional accents.

Pronunciation of "quaternion" in French

Phonetic Transcription: /kwa.teʁ.njɔ̃/

Pronunciation Variations: In French, "quaternion" follows the typical French pattern with nasal sounds, and regional accents might slightly alter the intonation but not significantly.

Sentence examples in English and translation to French

1. The engineer explained how quaternions are used in 3D animation.
   (L'ingénieur a expliqué comment les quaternions sont utilisés dans l'animation 3D.)

2. Quaternions help avoid the gimbal lock problem in rotations.
   (Les quaternions aident à éviter le problème de verrouillage cardanique dans les rotations.)

3. Using quaternions, we can represent complex rotations smoothly.
   (En utilisant des quaternions, nous pouvons représenter des rotations complexes de manière fluide.)

4. The quaternion algebra is essential in theoretical physics.
   (L'algèbre quaternion est essentielle en physique théorique.)

5. A quaternion calculator simplifies computations for simulations.
   (Un calculateur de quaternions simplifie les calculs pour les simulations.)

6. He studied the properties of quaternions in his mathematics thesis.
   (Il a étudié les propriétés des quaternions dans sa thèse de mathématiques.)

7. Quaternions are crucial for accurate space navigation systems.
   (Les quaternions sont cruciaux pour des systèmes de navigation spatiale précis.)

8. In robotics, quaternions are used to model joint movements.
   (En robotique, les quaternions sont utilisés pour modéliser les mouvements articulaires.)

9. Computer graphics engineers prefer quaternions for texture mapping.
   (Les ingénieurs en infographie préfèrent les quaternions pour le mappage de textures.)

10. His lecture on quaternions was both informative and engaging.
    (Son cours sur les quaternions était à la fois informatif et captivant.)

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

Synonyms: -

Antonyms: -

Similar Words: complex numbers, algebra, vector, matrix, four-dimensional, rotation, imaginary unit, orthogonal, hypercomplex, transformation

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

Synonyms: -

Antonyms: -

Similar Words: nombres complexes, algèbre, vecteur, matrice, quatre dimensions, rotation, unité imaginaire, orthogonal, hypercomplexe, transformation

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