octonion उदाहरण वाक्य

उदाहरण वाक्य

1. More precisely an integral octonion of norm " mn " can be written as a product of integral octonions of norms " m " and " n ".
2. The most well-known example of an octonion algebra is the classical octonions, which are an octonion algebra over "'R "', the field of real numbers.
3. The most well-known example of an octonion algebra is the classical octonions, which are an octonion algebra over "'R "', the field of real numbers.
4. Since any two octonion " F "-algebras become isomorphic over the algebraic closure of " F ", one can apply the ideas of non-abelian Galois cohomology.
5. The other is that the concept is an analogue to the octonion algebras, and quadratic Jordan division algebras of degree 3, that give rise to Moufang 3-gons and 6-gons.
6. But " S " 7 is not a group in this way because octonion multiplication is not associative, nor can it be given any other continuous multiplication for which it is a group.
7. His research interests are Yang-Mills gauge theories, supersymmetry, supergravity, quaternion and octonion algebras, spin structures, generalised theories of gravity, cosmological solutions, integrable systems and phase space quantisation.
8. It is a theorem of Adolf Hurwitz that the " F "-isomorphism classes of the norm form are in one-to-one correspondence with the isomorphism classes of octonion " F "-algebras.
9. The octonion algebra for " N " is a division algebra if and only if the form " N " is algebraically closed or a finite field, these are the only octonion algebras over " F ".
10. The octonion algebra for " N " is a division algebra if and only if the form " N " is algebraically closed or a finite field, these are the only octonion algebras over " F ".