Euclidean Algorithm & Diophantine Equation: Examples & Solutions 7:01 Fermat's Last Theorem | Overview & Proofs 5:10 Binary Operation Definition, Function & Examples 5:34 Binary and Non-Binary Operations 5:34 Types of Subgroups in Abstract Algebra 5:43 Finitely Generated Abelian Group |...
Examples > withDifferentialGeometry:withLieAlgebras: Example 1. First initialize a Lie algebra. We illustrate the fact that the Adjoint matrix Ad(x), for any x in the Lie algebra, is always a Lie algebra homomorphism (in fact, an isomorphism). > L1≔_DG...
Fig. 2. Examples of (G,w)=2k+1 and G(w,2k+1)⁎. As claimed in the following proposition, the condition that (G,w) is (2k+1)-wide implies that the extension of (G,w) into G(w,2k+1)⁎ transforms the general weight function w into a k-partial distance function (of (G,...
As applications, two examples are given to illustrate the main results.doi:10.1016/j.camwa.2011.11.025Erbl CetinDepartment of MathematicsF. Serap TopalDepartment of MathematicsElsevier LtdComputers & Mathematics with ApplicationsErbil Çetin,F. Serap Topal.Symmetric positive solutions of fourth order...
Examples > withDifferentialGeometry:withLieAlgebras: Example 1. First initialize a Lie algebra. We illustrate the fact that the Adjoint matrix Ad(x), for any x in the Lie algebra, is always a Lie algebra homomorphism (in fact, an isomorphism). > L1≔_DG...
Examples > with(DifferentialGeometry):with(LieAlgebras): Example 1. First initialize a Lie algebra. We illustrate the fact that the Adjoint matrix Ad(x), for any x in the Lie algebra, is always a Lie algebra homomorphism (in fact, an isomorphism). > L1≔_DG([["LieAlgebra",Alg1...