- an expression of the form a + bi + cj + dk, where a,b,c, and d are real numbers; i2 = j2 = k2 = −1; and ij = −ji = k, jk = −kj = i, and ki = −ik = j.
- a quantity or operator expressed as the sum of a real number and three complex numbers, equivalent to the quotient of two vectors. The field of quaternions is not commutative under multiplication.
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Origin of quaternion
Words nearby quaternion
Example sentences from the Web for quaternion
Of course, each player also does his best to stop his opponent from forming his quaternion or file of four.
Keep forming threes as long as you can so as to force your opponent to stop the threatened quaternion.
His days are thus described: from dawn to the third hour he copied rapidly, filling a (quaternion) each day.The Mediaeval Mind (Volume I of II)|Henry Osborn Taylor
Even then the captain of the gate was replying to a question from the quaternion.Ulric the Jarl|William O. Stoddard
Should neither player be able to form a quaternion, then the game is drawn.