QUATERNION

kwətûrˈnēən, in mathematics, a type of higher complex number first suggested by Sir William R. Hamilton in 1843. A complex number is a number of the form a+bi when a and b are real numbers and i is the so-called imaginary unit defined by the equation i2=−1. The rules for operating with complex numbers are simply those of operating with the polynomial a+bx except that i2 is replaced by −1 whenever it occurs. A quaternion, an extension of this concept, is a number of the form a+bi+cj+dk when a, b, c, and d are real numbers and i, j, and k are imaginary units defined by the equations i2=j2=k2=ijk=−1. Quaternions, as well as vectors and tensors (later outgrowths of the concept of quaternions), have many important applications in mechanics.

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The Columbia Encyclopedia, Sixth Edition Copyright© 2004, Columbia University Press. Licensed from Lernout & Hauspie Speech Products N.V. All rights reserved.

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Questia Books and Articles on: Quaternion
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books on: Quaternion  - 171 results

       More book Results: 1-10 11-20 21-30 31-40 41-50 >>  
 
1.
On the Commonwealth
Book by George Holland Sabine, Stanley Barney Smith, Marcus Tullius Cicero; Ohio State University Press, 1929
Subjects: Political Science--Early Works To 1800, Rome--Politics And Government--265-30 B.C, State, The--Early Works To 1800
2.
Four Plays of Menander: The Hero, Epitrepontes, Periceiromene and Samia
Book by Edward Capps, Menander; Ginn and Company, 1910
Subjects: Drama
...play were contained in three different quaternions, which are here and in the margin of the...to the first one and one-half pages of quaternion y, some three pages of the preceding quaternion x, making altogether about 157 lines...
3.
Mathematics, Science, and Postclassical Theory
Book by Barbara Herrnstein Smith, Arkady Plotnitsky; Duke University Press, 1997
Subjects: Mathematics, Science
...Mangle of Practice: Constructing Quaternions ANDREW PICKERING 40...objects numbers, geometrical figures, quaternions, Hilbert spaces, etc. , considered...the Mangle of Practice: Constructing Quaternions," the issue is the relation between...
4.
Mathematical Thought from Ancient to Modern Times - Vol. 2
Book by Morris Kline; Oxford University Press, 1990
Subjects: Mathematics--History
...of Substitution Groups, 764 32.Quaternions, Vectors, and Linear Associative Algebras...3. The Nature of Quaternions, 779...782 5. From Quaternions to Vectors, 785...
5.
Philosophical Studies, C. 1611-C. 1619
Book by Francis Bacon, Graham Rees, Michael Edwards; Clarendon Press, 1996
Subjects: Philosophy, Science, Science--Philosophy
...c Cosmology and the Two Quaternions, p. xlii...1. The Two Quaternions xliii...pp. 265-81, p. 271. ciated with the quaternion theory. Allusions to that occur in Bacons...
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journal articles on: Quaternion  - 21 results

       More journal Results: 1-10 11-20 21-21 >>  
 
1.
The "Unrefined Ore" of Anne Bradstreet's Quaternions
Journal article by Jane Donahue Eberwein; Early American Literature, Vol. 9, 1999
Subjects: American Literature--Colonial Period, Ca. 1600-1775, American Literature--Revolutionary Period, 1775-1783
...UNREFINED ORE" OF ANNE BRADSTREETS QUATERNIONS Jane Donahue Eberwein OAKLAND UNIVERSITY...touching and memorable. The ambitious quaternions and the study of the Four Monarchies...attention. The inclusion of only the last quaternion, "The Four Seasons," in Harrison...
2.
Anne Bradstreet and Performativity Self-Cultivation, Self-Deployment
Journal article by Carrie Galloway Blackstock; Early American Literature, Vol. 32, 1997
Subjects: American Literature--Colonial Period, Ca. 1600-1775, American Literature--Revolutionary Period, 1775-1783
...manner both deliberate and intricate. Her quaternions, an important but underestimated early...context of patriarchy. 2 Poems in the quaternions constitute performances of her characters...Bradstreets comparable distinction in the quaternions underlines her male figures aggression...
3.
Hawkes' the Blood Oranges: a Sensual New Jerusalem
Journal article by John V. Knapp; Critique, Vol. 17, 1976
Subjects: Fiction--20th Century--History And Criticism
...accident and the beginning of Cyrils quaternion. 5 In a sense, the ceremonies of Christianity...evenings, and mornings pass, the developing quaternion runs into complications--Hughs puritanism...all pretenses being pushed aside, the quaternion in full flower, and "another moment...
4.
A Virtual Hyperbooks Model to Support Collaborative Learning
Journal article by Gilles Falquet, Jean-Claude Ziswiler; International Journal on ELearning, Vol. 4, 2005
Subjects: Data base management systems, Hypertext, Learning, Software
...the arc labelled all component (4,4) from Quaternion to Real number means that a quaternion has at least and at most four components...numbers and that all the components of a quaternion are real numbers. This same graph shows...
5.
On Carolingian Book Painters: the Ottoboni Gospels and Its Transfiguration Master
Journal article by Lawrence Nees; The Art Bulletin, Vol. 83, 2001
Subjects: Art criticism, Art history, Illustrations, Middle Ages, Visual artists
...contained on a separate gathering, a quaternion, physically joined together.68 Theoretically...dealing with a "foreign" and inserted quaternion does not address the most startling...Ottoboni Gospels, which occurs within the quaternion with the Agnus Dei and canon tables...
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magazine articles on: Quaternion  - 1 result

 
 
1.
Beyond the Wild Wood
Magazine article by Alan Jacobs; First Things: A Monthly Journal of Religion and Public Life, October 2009
Subjects: Books--Book reviews, The Annotated Wind in the Willows (Novel)--Book reviews, The Wind in the Willows: An Annotated Edition (Novel)--Book reviews
...creatures, and yet they are dear friends. And thats the point. C.S. Lewis is good on this. In The Four Loves he writes, "The quaternion of Mole, Rat, Badger, and Toad suggests the amazing heterogeneity possible between those who are bound by Affection," and...


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encyclopedia articles on: Quaternion  - 1 result

 
 
1.
Quaternion
Encyclopedia article; The Columbia Encyclopedia, Sixth Edition, 2009
QUATERNION kw tur ne n, in mathematics, a type of higher complex...that i 2 is replaced by 1 whenever it occurs. A quaternion, an extension of this concept, is a number of the form...defined by the equations i 2 = j 2 = k 2 = ijk = 1. Quaternions, as well as vectors and tensors (later outgrowths...


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