quaternion การใช้

• Unlike the ordinary quaternions, the hyperbolic quaternions are not associative.
• Unlike the ordinary quaternions, the hyperbolic quaternions are not associative.
• Constructed using pairs of quaternions or octonions instead of complex numbers.
• Where the q _ i are quaternions, not all zero.
• Quaternions also capture the spinorial character of rotations in three dimensions.
• William Rowan Hamilton invented quaternions, a mathematical entity in 1843.
• This article describes the original invention and subsequent development of quaternions.
• This quantity is nowadays called the norm of the quaternion ".
• Another way of looking at this group is with quaternion multiplication.
• Hamilton introduced both real quaternions and complex quaternions, called biquaternions.
• Hamilton introduced both real quaternions and complex quaternions, called biquaternions.
• The algebra A is called the quaternion algebra of \ Gamma.
• The quaternion involved abandoning commutativity, a radical step for the time.
• A feature of quaternions is that multiplication of two quaternions is noncommutative.
• A feature of quaternions is that multiplication of two quaternions is noncommutative.
• At this time, quaternions were a mandatory examination topic in Dublin.
• They are the quaternions, named by Hamilton in 1843.
• This lattice is isomorphic to the lattice of Hurwitz quaternions.
• Thus, there is a Hurwitz quaternion \ alpha such that
• Bradstreet's first two quaternions were her most successful rhetoretical contrasts.