According to the place appeared,this article classifies brackets into three types:brackets in the sentence,brackets out of the sentence,and brackets before the sentence;according to readout or not,the words in brackets can be classified into three types:must be readout,may be readout,and can not be readout.

The accessibility distribution of the simple Hamiltonian system is discussed by introducing primitive Poisson brackets.

It is remarkable to see that the Lax representation admits a dynamical r-matrix formula instead of a classical one in the Poisson bracket.

Furthermore, we give the explicit formula of the standard braided derivatives on C\ ,G C\ and prove that Poisson bracket on it takes the same form as the classical one.

The concept and definition of M derivative and M bracket based on differential algebraic systems, the normal form of differential algebraic systemic model is obtained by MIMO feedback linearization technology when systemic relative degree is less than systemic dimension and the some designated conditions are satisfied.

The definitions of M derivative and M bracket similar to the definitions in classic differential geometric theory and some related revised results are given.

Some new definitions of M derivative, M bracket and etc.

To ex- plain simple sentence, complex sentence, auxiliary verbs, nouns and the like by means of di- agramming, bracketing and tree diagramming enables the students to have an instant view of English grammatical structures and rules.