This paper tackles the problem of transient voltage stability by using the semi-tensor product method of non-linear dynamics.

The force ondielectric is determined by means of Maxwell stress tensor integral equation.

Decomposition of the tensor product of the simple module for the simple algebraic group of type G_2;

The tensor product of weakly commutative semigroups and separative semigroups;

In this paper we first discuss the properties of Kronecker product of complex metapositive definite matrices,and then generalize the Schur theorem,the Hua Luogeng theorem.

The paper also discusses their Kronecker product and Hadamard product ,and points out the differencl of sub positive definite of real matrx from positive definite real matrix.

In this paper we first discuss the properties of Kronecker product of complex metapositive definite matrices; and then generalize the Schur theorem, the Hua Luogeng theorem and tile Minkowski ineguality of real symmetric matrices.

The nonlinear partial differential equations are transformed into the ordinary differential equations of Kronecker tensor product by series expansion and solved numerically by the fourth order Runge Kutta metho.