The new integral formula with weight factors for a strictly pseudoconvex polyhedron with non-smooth boundary;

Integral Formula with Discrete Holomorphic Kernel and ?-Equations on Bounded Domain;

In this paper we analyze the revolver of the curve revolving around the straight line,discuss the calculations of the area and volume of the revolver,get two integral formulas of the calculations of the area and volume,and illustrate the application of the formulas with examples.

In this paper the computation method for the points on the easement curve is derived by integration formula and realized on the CASIO fx4500 and CASIO fx4800 calculators by programming.

Schwarz integral formula in C_n(0,1) is an important theorem in function of several complex variables.

In this article,a method of Mathematical inducing has been given to prove Schwarz integral formula on several cylinder domain and the way is novel.

In addition,the authors obtain Schwarz integral formula of analytic functions on C n(0,1),by which the condition of solvability and the solution of Hilbert boundary value problem are discussed.

The precision of derived definite integral formula by high-order curve fitting like thrice and quartic proximate curve is higher than Simpson formula and the C language original program to realize the above algorithm is presented.

The following theorem is proved by a uniformly argument with respect to a: Let ~(m)(a) be the completed simply connected space form with metric=1(1+a4ρ~2)~2∑mi=1du~i du~i,ρ~2=∑mi=1(u~i)~2If M is a closed oriented hyper surface in ~(n+1)(a),then there are Minkowski integral formulas as the following∫_M4-aρ~24+aρ~2H_(k-1)dA+∫_MpH_kdA=0,k=1,2,…,n.