exterior algebra उदाहरण वाक्य

उदाहरण वाक्य

1. It is stated in the exterior algebra Wiki entry that the Hodge dual becomes an antipode map, with which the exterior bialgebra becomes a Hopf algebra.
2. The exterior algebra is also named "'Grassmann algebra "'after Hermann Grassmann, who introduced it as " extended " algebras.
3. Especially for supporting PsiEpsilon in 2012 for incorrect edits to exterior algebra . "  ?lk " 07 : 19, 27 October 2013 ( UTC)
4. If the quadratic form is fully degenerate, the inner product of any two vectors is always zero, and the geometric algebra is then simply an exterior algebra.
5. In view of structure theorems on Hopf algebras by tensor product of a polynomial ring on generators of even degree with an exterior algebra on generators of odd degree.
6. This can be achieved by replacing the cross product by the exterior product in the language of exterior algebra, and angular momentum becomes a contravariant second order antisymmetric tensor
7. A finite dimensional exterior algebra may be equipped with a coproduct and a counit ( described in the exterior algebra Wiki entry ), with which it becomes a bialgebra.
8. A finite dimensional exterior algebra may be equipped with a coproduct and a counit ( described in the exterior algebra Wiki entry ), with which it becomes a bialgebra.
9. Furthermore, Rothe worked  outside his teaching activity  on mathematical problems like Hermann Grassmann's " Ausdehnungslehre " ( theory of extension, or exterior algebra ).
10. The construction of the bialgebra here parallels the construction in the tensor algebra article almost exactly, except for the need to correctly track the alternating signs for the exterior algebra.