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	CONK! Encyclopedia: Sedenion (Site not responding. Last check: 2007-10-19)
		The sedenions form a 16-dimensional algebra over the reals obtained by applying the Cayley-Dickson construction to the octonions.
		But in contrast to the octonions, the sedenions do not even have the property of being alternative.
		The sedenions have a multiplicative identity element 1 and multiplicative inverses, but they are not a division algebra.
	www.conk.com /search/encyclopedia.cgi?q=Sedenion (153 words)

	CONK! Encyclopedia: Hypercomplex_number (Site not responding. Last check: 2007-10-19)
		In mathematics, hypercomplex numbers are extensions of the complex numbers constructed by means of abstract algebra, such as quaternions, tessarines, coquaternions, octonions, biquaternions and sedenions.
		Whereas complex numbers can be viewed as points in a plane, hypercomplex numbers can be viewed as points in some higher-dimensional Euclidean space (4 dimensions for the quaternions, 4 for the tessarines, 4 for the coquaternions, 8 for the octonions, 8 for the biquaternions, 16 for the sedenions).
		The quaternions, octonions and sedenion can be generated by the Cayley-Dickson construction.
	www.conk.com /search/encyclopedia.cgi?q=Hypercomplex_number (128 words)

	Station Information - Hypercomplex number
		Hypercomplex numbers are extensions of the complex numbers, such as quaternions, octonions and sedenions.
		Whereas complex numbers can be viewed as points in a plane, hypercomplex numbers can be viewed as points in some higher-dimensional Euclidean space (4 dimensions for the quaternions, 8 for the octonions, 16 for the sedenions).
		The quaternions, octonions and sedenions are generated by the Cayley-Dickson construction.
	www.stationinformation.com /encyclopedia/h/hy/hypercomplex_number.html (112 words)

	Sedenion -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-19)
		Like octonions, (A multiplicative increase) multiplication of sedenions is neither (Click link for more info and facts about commutative) commutative nor (Click link for more info and facts about associative) associative.
		But in contrast to the octonions, the sedenions do not even have the property of being (One of a number of things from which only one can be chosen) alternative.
		The sedenions have a multiplicative (An operator that leaves unchanged the element on which it operates) identity element 1 and multiplicative inverses, but they are not a (Click link for more info and facts about division algebra) division algebra.
	www.absoluteastronomy.com /encyclopedia/S/Se/Sedenion.htm (245 words)

	Why not SEDENIONS?
		The sedenions correspond to a tetrahedron, a 3-dimensional simplex, 4 vertices v of the tetrahedron corresponding to EIJK ; 6 edges e of the tetrahedron corresponding to ijkTUV ; 4 faces f of the tetrahedron corresponding to WXYZ ; and the 1 entire tetrahedron T corresponding to S.
		The 28 new associative triple cycles of the sedenions are related to the 28-dimensional Lie algebra Spin(0,8), and to the 28 different differentiable structures on the 7-sphere S7 that are used to construct exotic structures on differentiable manifolds.
		SEDENIONS AND CLIFFORD ALGEBRAS: If they do not look at the whole sedenion algebra, but represent sedenions by their left or right adjoint actions, When Lohmus, Paal, and Sorgsepp get interesting matrix structures.
	www.tony5m17h.net /sedenion.html (5107 words)

	ZeroDivisor Algebras, Charles Muses
		Split number-algebras, such as split complex numbers, split quaternions, Split Octonions, and split sedenions, are number-algebras of signature (p-1, p+1) with p dimensions of signature -1 plus a real 1 and p dimensions, other than the real axis, of signature +1.
		Note that e0, i1, i4, i5, i8, i9, i12, i13, e2, e3, e4, e5, e8, e9, e12, and e13 form the Split Sedenions of signature (7,9).
		To go beyond the 32-dimensional Complexified Sedenion Algebra, you have to give up the quaternionic and complex algebraic rules used to get 4x8 = 32 distinct bimatrix elements, and look at pairs of 2x2 matrices each entry of which is itself a REAL 2x2 matrix, giving a 4x4 x 4x4 = 16x16 = 256-dimensional algebra.
	www.valdostamuseum.org /hamsmith/NDalg.html (3990 words)

	Sedeniones - Ciencia.net - Noticias científicas, artículos científicos sobre matemáticas, ... (Site not responding. Last check: 2007-10-19)
		Sedeniones - Ciencia.net - Noticias científicas, artículos científicos sobre matemáticas, física, química, astronomía...
		Los sedeniones forman una álgebra de dimensión 16 sobre los reales y se obtienen aplicando la Construcción de Cayley-Dickson sobre los octoniones.
		Como los octoniones, la multiplicación de sedeniones no es conmutativa, ni asociativa.
	www.ciencia.net /VerArticulo?idTitulo=Sedeniones (226 words)

	Sedenion
		Like octonions, multiplication of sedenions is neither commutative nor associative.\nBut in contrast to the octonions, the sedenions do not even have the property of being alternative.\nThey do, however, have the property of being power-associative.
		,\nwhich form a basis of the vector space of sedenions.\nThe multiplication table of these unit sedenions looks as follows.
		Carmody, Kevin: Circular and Hyperbolic Quaternions, Octonions and Sedenions, Applied Mathematics and Computation 28:47-72 (1988)\n* Carmody, Kevin: Circular and Hyperbolic Quaternions, Octonions and Sedenions - Further results, Applied Mathematics and Computation, 84:27-47 (1997)\n* Imaeda, K., Imaeda, M.: Sedenions: algebra and analysis, Applied Mathematics and Computation, 115:77-88 (2000)
	encyclopedia.codeboy.net /wikipedia/s/se/sedenion.html (184 words)

	Sedenion Basic Algebra
		The word sedenion is derived from sexdecim, meaning sixteen.
		A sedenion is a hypercomplex number constituted from 16 basal elements.
		There are sedenions S and T, neither of them zero, but ST = 0 = TS.
	www.geocities.com /zerodivisor/sbasicalgebra.html (163 words)

	Encyclopedia: Octonion (Site not responding. Last check: 2007-10-19)
		the sedenions) all fail to satisfy this property.
		In abstract algebra, a non-zero element a of a ring R is a left zero divisor if there exists a non-zero b such that ab = 0.
		A bicomplex number is a number written in the form, a + bi1 + ci2 + dj, where i1, i2 and j are imaginary units.
	www.nationmaster.com /encyclopedia/Octonion (2580 words)

	Sedenion (Site not responding. Last check: 2007-10-19)
		Como octonions, la multiplicación de sedenions es ni comutativa ni sociable.
		Los sedenions tienen un elemento multiplicative 1 y lo contrario multiplicative de la identidad, pero no son una álgebra de la división.
		Cada sedenion es una combinación linear verdadera de los sedenions 1, e
	www.yotor.net /wiki/es/se/Sedenion.htm (178 words)

	Talk:Sedenion - InformationBlast (Site not responding. Last check: 2007-10-19)
		I wonder about the following feature of the sedenions as claimed in the article: They have multiplicative inverses and at the same time zero divisors.
		In a matrix algebra, these two features cannot coexist, since a divisor of zero necessarily has determinant zero and thus it is not invertible.
		A given sedenion might be a zero divisor when paired with one particular other, but nothing stops either having an inverse as far as I can see.
	www.informationblast.com /Talk:Sedenion.html (219 words)

	Octonions and sedenions
		After that, it continues to produce algebras satisfying both distributive laws, but the Euclidean norms are no longer multiplicative, and indeed the algebras start to have zero-divisors.
		As part of their classification, they have recovered identities originally studied by Fenyves, essentially saying that squares of elements associate with any pair of elements.
		Cawagas has discovered 16-element subloops of the Cayley-Dickson sedenions that provide the first known non-trivial natural models of Fenyves' identities.
	orion.math.iastate.edu /jdhsmith/math/JS26jan4.htm (861 words)

	Número de Hypercomplex (Site not responding. Last check: 2007-10-19)
		En matemáticas, los números del hypercomplex son extensiones de los números complejos construidos por medio de álgebra abstracta, tal como quaternions, de los tessarines, de los octonions y de los sedenions.
		Mientras que los números complejos se pueden ver como puntos en un plano, los números del hypercomplex se pueden ver como puntos en un cierto espacio euclidiano alto-dimensional (4 dimensiones para los quaternions, 4 para los tessarines, los 8 para los octonions, los 16 para los sedenions).
		Los quaternions, los octonions y el sedenion se pueden generar por la construcción de Cayley-Dickson.
	www.yotor.net /wiki/es/n%fa/N%FAmero%20de%20Hypercomplex.htm (159 words)

	Encyclopedia: Hypercomplex number (Site not responding. Last check: 2007-10-19)
		Updated 131 days 22 hours 23 minutes ago.
		Wikibooks Wikiversity has more about this subject: School of Mathematics Wikiquote quotations related to: Mathematics Look up Mathematics in Wiktionary, the free dictionary Wikimedia Commons has more media related to: Mathematics Bogomolny, Alexander: Interactive Mathematics Miscellany and Puzzles.
		The fundamental theorem of algebra (now considered something of a misnomer by many mathematicians) states that every complex polynomial of degree n has exactly n zeroes, counted with multiplicity.
	www.nationmaster.com /encyclopedia/Hypercomplex-number (1260 words)

	Sedenion Encyclopedia Article, Definition, History, Biography (Site not responding. Last check: 2007-10-19)
		Looking For sedenion - Find sedenion and more at Lycos Search.
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	www.artisticnudity.com /encyclopedia/Sedenion (318 words)

	Benard M. Kivunge, Jonathan D. H Smith (Site not responding. Last check: 2007-10-19)
		Abstract:This note investigates sedenion multiplication from the standpoint of loop theory.
		New two-sided loops are obtained within the version of the sedenions introduced by the second author.
		Conditions are given for the satisfaction of standard loop-theoretical identities within these loops.
	www.karlin.mff.cuni.cz /cmuc/cmuc0402/abs/kivunge.htm (50 words)

	Symposium - Math and Physics
		The algebra of multidemsional numbers like complex (2D), quaternions (4D), octonions (8D) and sedenions (16D) is fascinating and helps me make some sense out of multidemensional hyperspace.
		It was hard going for him, but he managed to at least get somewhere with it, so perhaps I ought to dip into it myself.
		This sounds interesting, though my linear algebra recall is limited (if that makes any difference here) and I know something about complex numbers but not the others you mention.
	wc6.worldcrossing.com /webx?14@@.1dde2c0f/133 (1184 words)

	New Scientist Archive \| Selected Article
		Graves was not to be put off though, and spent a long while convinced that his method of going from 4 to 8 could be repeated, leading to algebras with dimensions of 16, 32, 64 and so on for any power of 2.
		He called his 16-dimensional algebra the sedenions, but he couldn't find a way to make it - or any of the others - work, and began to doubt whether it could exist.
		The reason is that, with increasing numbers of dimensions, these systems obey fewer and fewer algebraic laws - the amount of algebraic structure keeps decreasing.
	www.incunabula.org /blog/articles/stewart.html (2511 words)

	Luxor, Karnak, Dendera and Physics, Symmetry, Tarot, E6, Sedenions
		Luxor, Karnak, Dendera and Physics, Symmetry, Tarot, E6, Sedenions
		The Temple of Luxor was built on the Nile River East bank of the Nile River at least as early as about 3,400 years ago.
		Such structures are naturally found in the sedenions.
	www.tony5m17h.net /Luxor.html (1173 words)

	Sedenion - Encyclopedia Glossary Meaning Explanation Sedenion (Site not responding. Last check: 2007-10-19)
		Here you will find more informations about Sedenion.
		* Carmody, Kevin: Circular and Hyperbolic Quaternions, Octonions and Sedenions - Further results, Applied Mathematics and Computation, 84:27-47 (1997)
		* Imaeda, K., Imaeda, M.: Sedenions: algebra and analysis, Applied Mathematics and Computation, 115:77-88 (2000)
	www.encyclopedia-glossary.com /en/Sedenion.html (195 words)

	Sedenion (Site not responding. Last check: 2007-10-19)
		The sedenions form a 16- dimensional algebra over the reals obtained by applying the Cayley-Dickson construction to the octonions.
		The multiplication table of these unit sedenions looks as
		Carmody Kevin: Circular and Hyperbolic Quaternions Octonions and Sedenions Further results Applied Mathematics and Computation 84:27-47 (1997)
	www.freeglossary.com /Sedenions (147 words)

	Teen xxx Sexy Babes (Site not responding. Last check: 2007-10-19)
		The sedenions form Teen xxx a 16-dimensional algebra over the reals obtained by applying the Cayley-Dickson construction to the octonions.
		But in contrast to the octonions, the sedenions do not even have the property Porn site for woman Sexy old man of being alternative.
		Every sedenion is a real linear combination of the unit sedenions 1, e1, e2, Fat anal sex Ebony teen porn e3, e4, e5, e6, e7, e8, e9, e10, e11, e12, e13, e14 and e15, which form a basis of the vector space of sedenions.
	milf.milfhunter.cn /Xxx_picture/Teen_xxx.html (618 words)

	Citebase - The 42 Assessors and the Box-Kites they fly: Diagonal Axis-Pair Systems of Zero-Divisors in the Sedenions' ... (Site not responding. Last check: 2007-10-19)
		Authors: de Marrais, Robert P. Moreno's abstract depiction of the Sedenions' normed zero-divisors, as homomorphic to the exceptional Lie group G2, is fleshed out by exploring further structures the A-D-E approach of Lie algebraic taxonomy keeps hidden.
		A breakdown of table equivalence among the half a trillion multiplication schemes the Sedenions allow is found; the 168 elements of PSL(2,7), defining the finite projective triangle on which the Octonions' 480 equivalent multiplication tables are frequently deployed, are shown to give the exact count of primitive unit zero-divisors in the Sedenions.
		With the Sedenions, we have to divide 15!
	citebase.eprints.org /cgi-bin/citations?id=oai%3AarXiv%2Eorg%3Amath%2F0011260 (3950 words)

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