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Definition of Quaternion

Babylon English

foursome of real numbers that contains the complex numbers (Mathematics); group of four people or things
Quaternion Definition from Language, Idioms & Slang Dictionaries & Glossaries
Webster's Revised Unabridged Dictionary (1913)
(v. t.)
To divide into quaternions, files, or companies.
  
(n.)
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.
  
(n.)
The number four.
  
(n.)
A word of four syllables; a quadrisyllable.
  
(n.)
A set of four parts, things, or person; four things taken collectively; a group of four words, phrases, circumstances, facts, or the like.
  
Webster's Revised Unabridged Dictionary (1913), edited by Noah Porter. About
hEnglish - advanced version

quaternion
\qua*ter"ni*on\ (?), n. [l. quaternio, fr. quaterni four each. see quaternary.]
1. the number four. [poetic]
2. a set of four parts, things, or person; four things taken collectively; a group of four words, phrases, circumstances, facts, or the like. delivered him to four quaternions of soldiers. xii. 4. ye elements, the eldest birth of nature's womb, that in quaternion run. the triads and quaternions with which he loaded his sentences. -- sir w. scott.
3. a word of four syllables; a quadrisyllable.
4. (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.
note: the science or calculus of quaternions is a new mathematical method, in which the conception of a quaternion is unfolded and symbolically expressed, and is applied to various classes of algebraical, geometrical, and physical questions, so as to discover theorems, and to arrive at the solution of problems. w. r. hamilton.
quaternion
\qua*ter"ni*on\, v. t. to divide into quaternions, files, or companies.
quaternion
n : the cardinal number that is the sum of three and one [syn: four, 4, iv, tetrad, quatern, quaternary, quaternity, quartet, quadruplet, foursome, little joe]


quaternion
a band of four soldiers. peter was committed by herod to the custody of four quaternions, i.e., one quaternion for each watch of the night (acts 12:4). thus every precaution was taken against his escape from prison. two of each quaternion were in turn stationed at the door (12:6), and to two the apostle was chained according to roman custom.

JM Welsh <=> English Dictionary
Pedwariad = n. a quaternion
WordNet 2.0

Noun
1. the cardinal number that is the sum of three and one
(synonym) four, 4, IV, tetrad, quatern, quaternary, quaternity, quartet, quadruplet, foursome, Little Joe
(hypernym) digit, figure
Quaternion Definition from Science & Technology Dictionaries & Glossaries
Aviation - English - Spintra.com
A system of representing attitude by measuring angle of aircraft center line with respect to three orthoginal axes plus rotation about centerline; quaternions are used over Euler angles (pitch, roll, yaw) when pitch can approach 90deg because of a singularity on Euler angles at 90deg; discrete-time computations using quaternions can run more slowly than those with Euler angles while producing results of the same accuracy See Also: Euler parameters;
Quaternion Definition from Encyclopedia Dictionaries & Glossaries
Wikipedia English - The Free Encyclopedia
In mathematics, the quaternions are a number system that extends the complex numbers. They were first described by Irish mathematician William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. A feature of quaternions is that multiplication of two quaternions is noncommutative. Hamilton defined a quaternion as the quotient of two directed lines in a three-dimensional space or equivalently as the quotient of two vectors.

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Quaternion Definition from Religion & Spirituality Dictionaries & Glossaries
Easton's Bible Dictionary
a band of four soldiers. Peter was committed by Herod to the custody of four quaternions, i.e., one quaternion for each watch of the night (Acts 12:4). Thus every precaution was taken against his escape from prison. Two of each quaternion were in turn stationed at the door (12:6), and to two the apostle was chained according to Roman custom.
Smith's Bible Dictionary

a military term signifying a guard of four soldiers, two of whom were attached to the person of a prisoner, while the other two kept watch outside the door of his cell. (Acts 12:4)
  
Smith's Bible Dictionary (1884) , by William Smith. About