octonion उदाहरण वाक्य

उदाहरण वाक्य

1. Klein's quartic occurs in many branches of mathematics, in contexts including representation theory, homology theory, octonion multiplication, Fermat's last theorem, and the Stark-Heegner theorem on imaginary quadratic number fields of class number one; see for a survey of properties.
2. Two months after Hamilton's discovery of quaternions, Graves wrote Hamilton on December 26, 1843 presenting a kind of double quaternion that is nowadays often called an octonion, and showing that they were what we now call associative, which may have been the invention of the concept.
3. In particular, by using the fact that the automorphism group of the split octonions is the split algebraic group G 2, one sees the correspondence of isomorphism classes of octonion " F "-algebras with isomorphism classes of G 2-torsors over " F ".
4. For examples, ( a ) the Dirac equation in physics ( the equation of motion of a free spin 1 / 2 particle, like e . g . an electron or a proton ) can be expressed on native split-octonion arithmetic, ( b ) the supersymmetric quantum mechanics has an octonionic extension.