On the basis of the fact that lattice is characterized by partial order structure,the paper draws a conclusion through the thinking mode of abstract algebra and a strict logical inference that the distributive law is equal in value to the cancellation law in general lattice.

As an application, all equivalence and implicative relations between 30 one-place predicate formulas are auto generated, and then all distributive laws of generality distributive laws  and existential quantifier  to conjunction ∧, inclusive disjunction ∨, equivalence , implication →, alternative denial ↑, conjunctive denial ↓ and exclusive disjunction  are obtained.

In this paper,the authors give a new multiplication of the cubic matrices,and testify the associative law and the distributive law of the new multiplication are right under the new multiplication.

By describing the related knowledge of the domain theory,the particular proving methods of Heyting algebra regarding to the application of the supremum and infimum for the purpose of accomplishing the requirements of the distributive laws are given.

By using the formula, the math representation of distribution law was further deduced, so that the distribution law had theoretic foundation.

Distribution of Sn, Cu, Zn and Ability of Mineralization of Granite in Dachang;

The distribution of mitomycin(MIT) for injection in aqueous surfactant two phases(ASTP), consisted of cetyltrimethylammonium bromide(CTAB) and sodium oleate(SO) has been studied by spectrophotometry.

) growing under water culture was used to study the characteristics and distribution dynamics of nitrogen absorbed from root during fruit harvest by using 15 N tracer technique.