Additive preservers of determinant on 2×2 self-conjugate quaternion matrix spaces;

Quasi-Vandermonde determinant;

A simpleand easyway of using diagonal law to measure determinants;

Some results of the determinants for piece matrices;

Some properties for the permanents of matrices were given, the definition of the permanents were generalized, the method of the computation for the permanents of matrices was studied, and the relation between the permanents and determinants of square matrices was studied.

The problems are proof of Cramer rule and determinate computing of triple diagonal matrices.

Numerical simulation of wind environment around residential district in determinant arrangement

The paper has deducted 168 first order partial derivatives among 8 thermodynamic functions and converted complicated differential operation into simple algebraic operation using Jacobian determinant on the basis of 7 basic formulas.