Difference between revisions of "Q"

(add extra link about quaternions and how to find Hamilton's plaque itself)
(additional link and info about quaternions and Maxwell's Equations)
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<div id="quaternions"></div>'''Quaternions'''<br />
 
<div id="quaternions"></div>'''Quaternions'''<br />
130; In mathematics, quaternions are a non-commutative extension of complex numbers. They were first described by the Irish mathematician [[ATD-H#hamilton|Sir William Rowan Hamilton]] in 1843 and applied to mechanics in three-dimensional space. At first, quaternions were regarded as pathological, because they disobeyed the commutative law ab = ba. Although they have been superseded in most applications by vectors, they still find uses in both theoretical and applied mathematics, in particular for calculations involving three-dimensional rotations; 131; 156; "Quaternion-ray weapons" 445; 511; 525; Wars, 526, 548; 533-34; 538-39; Quaternionic Weapon, 542; 557; Q-98 weapon, alive in Woevre's hands, 563; 564; 590; [http://en.wikipedia.org/wiki/Quaternion Wikipedia entry];
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130; In mathematics, quaternions are a non-commutative extension of complex numbers. They were first described by the Irish mathematician [[ATD-H#hamilton|Sir William Rowan Hamilton]] in 1843 and applied to mechanics in three-dimensional space. At first, quaternions were regarded as pathological, because they disobeyed the commutative law ab = ba. Although they have been superseded in most applications by vectors, they still find uses in both theoretical and applied mathematics, in particular for calculations involving three-dimensional rotations.  [[ATD-M#maxwell|James Clerk Maxwell]] first published his famous theory describing electricity and magnetism as a set of twenty equations, but he was later able to reformulate it as four equations using quaternions.  [[ATD-H#heaviside|Heaviside]] translated these into four vector equations, the form typically taught in basic physics classes today.  Heaviside's vector version is compatible with [[ATD-E#einstein|Einstein]]'s special relativity, but [http://scienceblogs.com/goodmath/2007/02/the_jackpot_of_crankery_woo_ph_1.php the quaternion form is not]; 131; 156; "Quaternion-ray weapons" 445; 511; 525; Wars, 526, 548; 533-34; 538-39; Quaternionic Weapon, 542; 557; Q-98 weapon, alive in Woevre's hands, 563; 564; 590; [http://en.wikipedia.org/wiki/Quaternion Wikipedia entry];
 
[http://mathworld.wolfram.com/Quaternion.html Quaternions at MathWorld];
 
[http://mathworld.wolfram.com/Quaternion.html Quaternions at MathWorld];
 
[http://planetmath.org/encyclopedia/QuaternionAlgebra2.html Hamiltonian quaternions at PlanetMath];
 
[http://planetmath.org/encyclopedia/QuaternionAlgebra2.html Hamiltonian quaternions at PlanetMath];
[http://math.ucr.edu/home/baez/dublin/ Finding the site of Hamilton's inspiration] (by mathematical physicist [http://math.ucr.edu/home/baez/ John Baez]); Conspiracy-theory takes on mathematical history [http://www.cheniere.org/techpapers/Precursor%20Engineering1.htm] [http://www.cheniere.org/books/aids/ch4.htm] (by Tom Bearden, promotor of a [http://en.wikipedia.org/wiki/Motionless_Electrical_Generator dubious free energy machine])
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[http://math.ucr.edu/home/baez/dublin/ Finding the site of Hamilton's inspiration] (by mathematical physicist [http://math.ucr.edu/home/baez/ John Baez]); Conspiracy-theory takes on mathematical history [http://www.cheniere.org/techpapers/Precursor%20Engineering1.htm] [http://www.cheniere.org/books/aids/ch4.htm] (by [http://scienceblogs.com/goodmath/2007/02/the_jackpot_of_crankery_woo_ph_1.php Tom Bearden], promotor of a [http://en.wikipedia.org/wiki/Motionless_Electrical_Generator dubious free energy machine])
  
 
'''Queen Anne's Gate'''<br />
 
'''Queen Anne's Gate'''<br />

Revision as of 10:02, 27 February 2007

Quaternions

130; In mathematics, quaternions are a non-commutative extension of complex numbers. They were first described by the Irish mathematician Sir William Rowan Hamilton in 1843 and applied to mechanics in three-dimensional space. At first, quaternions were regarded as pathological, because they disobeyed the commutative law ab = ba. Although they have been superseded in most applications by vectors, they still find uses in both theoretical and applied mathematics, in particular for calculations involving three-dimensional rotations. James Clerk Maxwell first published his famous theory describing electricity and magnetism as a set of twenty equations, but he was later able to reformulate it as four equations using quaternions. Heaviside translated these into four vector equations, the form typically taught in basic physics classes today. Heaviside's vector version is compatible with Einstein's special relativity, but the quaternion form is not; 131; 156; "Quaternion-ray weapons" 445; 511; 525; Wars, 526, 548; 533-34; 538-39; Quaternionic Weapon, 542; 557; Q-98 weapon, alive in Woevre's hands, 563; 564; 590; Wikipedia entry; Quaternions at MathWorld; Hamiltonian quaternions at PlanetMath; Finding the site of Hamilton's inspiration (by mathematical physicist John Baez); Conspiracy-theory takes on mathematical history [1] [2] (by Tom Bearden, promotor of a dubious free energy machine)

Queen Anne's Gate
490; an office block in Westminster, London, overlooking St. James's Park. The building was originally built as speculative office development but the Home Office moved for lack of space in its previous headquarters in Whitehall; 496; Wikipedia entry

Querkel
45; detective at White City Investigations


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