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The quaternion is called the vector part (sometimes imaginary part) of q, and a is the scalar part (sometimes real part) of q. A quaternion that equals its real part (that is, its vector part is zero) is called a scalar or real quaternion, and is identified with the corresponding real number.
- Quaternione
In matematica, i quaternioni sono entità introdotte da...
- Quaternions and spatial rotation
Quaternions and spatial rotation. Unit quaternions, known as...
- History of quaternions
Quaternions and their applications to rotations were first...
- Quaternione
Indice. 1 Utilizzare i quaternioni per le rotazioni. 2 Operazioni di rotazione con i quaternioni. 2.1 L'ipersfera delle rotazioni. 2.1.1 Visualizzare lo spazio delle rotazioni. 2.1.2 Parametrizzazione dello spazio delle rotazioni. 2.2 Dalle rotazioni ai quaternioni. 2.2.1 I quaternioni.
A quaternion has 4 scalar values: qw (the real part) and qx qy qz (the imaginary part). Defining the norm of the quaternion as follows: A unit quaternion satisfies: We can associate a quaternion with a rotation around an axis by the following expression. where α is a simple rotation angle (the value in radians of the angle of ...
i2 = j2 = k2 = ijk = –1. et la grava sur une pierre du pont. En mathématiques, un quaternion est un nombre dans un sens généralisé 1. Les quaternions englobent les nombres réels et complexes dans un système de nombres plus vaste où la multiplication n'est cette fois-ci plus une loi commutative.
