| 释义 |
WordReference Random House Unabridged Dictionary of American English © 2024qua•ter•ni•on (kwə tûr′nē ən),USA pronunciation n. - a group or set of four persons or things.
- Printing[Bookbinding.]four gathered sheets folded in two for binding together.
- Mathematics
- 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.
- Late Latin quaterniōn- (stem of quaterniō), equivalent. to Latin quatern(ī) four at a time + -iōn- -ion
- Middle English quaternioun 1350–1400
Collins Concise English Dictionary © HarperCollins Publishers:: quaternion /kwəˈtɜːnɪən/ n - a generalized complex number consisting of four components, x = x0 + x1i + x2j + x3k, where x, x0…x3 are real numbers and i² = j² = k² = –1, ij = –ji = k, etc
- another word for quaternary
Etymology: 14th Century: from Late Latin quaterniōn, from Latin quaternī four at a time |