American Heritage® Dictionary of the English Language, Fourth Edition
- n. A set of four persons or items.
- n. Mathematics Any number of the form a + bi + cj + dk where a, b, c, and d are real numbers, ij = k, i2 = j2 = -1, and ij = -ji. Under addition and multiplication, quaternions have all the properties of a field, except multiplication is not commutative.
Century Dictionary and Cyclopedia
- n. A set, group, or body of four: applied to persons or things.
- n. A word of four syllables; a quadrisyllable.
- n. A fourfold quantity capable of being expressed in the form xi + yj + zk + w, where x, y, z, w are scalars, or real numbers, while i, j, k are vectors, or quantities whose squares are negative scalars. The calculus of such quantities is termed quaternions.
- To divide into quaternions, files, or companies.
- n. In book-making, a set or ‘gathering’ of four sheets of paper or parchment folded in two.
GNU Webster's 1913
- n. Poetic The number four.
- n. A set of four parts, things, or person; four things taken collectively; a group of four words, phrases, circumstances, facts, or the like.
- n. A word of four syllables; a quadrisyllable.
- n. (Math.) The quotient of two vectors, or of two directed right lines in space, considered as depending on four geometrical elements, and as expressible by an algebraic symbol of quadrinomial form.
- v. To divide into quaternions, files, or companies.
- n. the cardinal number that is the sum of three and one
- From Middle English quaternioun, from Late Latin quaterniō, from quaternī (ablative form of quater, “four times”) + -iōn, “-ion”. (Wiktionary)
- Middle English quaternioun, from Late Latin quaterniō, quaterniōn-, from Latin quaternī, by fours, from quater, four times. (American Heritage® Dictionary of the English Language, Fourth Edition)
“Outside the quaternion were the dancing Pauppukkeewis, the Whirlwind, and the fierce and shifty hero, Monobozho, the North-West”
“But we would maintain, nevertheless, that it is the identical book, and explain this variation in the description by the circumstance that the library having, in the space of nearly two centuries, been materially enriched, numerous works, consisting in many cases only of a single "quaternion," were inserted in the volumes already existing.”
“Go to the use of a better (higher group symmetry) modern electrodynamics model (such as quaternion electrodynamics, very close to Maxwell's original theory), and the operation of such asymmetric systems now is included (as it was and is in Maxwell's original 20 quaternion-like equations in 20 unknowns).”
“In [[mathematics]], a '' 'quaternion' '' is a four-dimensional [[object]] important in”
“It happens we both suffer from quaternion headaches, though his remedy, cold beet, was one I have not yet tried.”
“Whence it appears that in the structure of the universe the motions of living creatures are generally effected by a quaternion of limbs or of bendings.”
“Farther he avers the virtue of ten consists in the quaternion; the reason whereof is this, — if any person start from one, and add numbers so as to take in the quaternary, he shall complete the number ten; if he passes the four, he shall go beyond the ten; for one, two, three, and four being added up together make ten.”
“Bacon's bi-quaternion theory necessarily refers to the sublunary as well as to the superlunary world.”
“The quaternion theory functions in Bacon's thought as a constructive element for constituting his own theory of planetary movement and a general theory of physics.”
“Of bipedal travelers and their accompanying quaternion of talkative trees, there was no sign save for some splintered branches and a mighty axe that, in the absence of its owner, lay useless and forlorn amid the settling debris.”
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