Using mathematical software Mathematica 4,we study the following geometric inequality:(a-b)(b-c)(c-a)(a+b)(b+c)(c+a)<122.here a,b and c are the lengths of triangle ΔABC. In the meantime we prove that the upper bound for the inequality is accurate.
To solve the problems which exist currently in mathenatics teaching with assistance of multimedia,we emphasize that multimedia's assistance in teaching of mathematics should be under the guidance of modern educational thought,teaching theory and theory of studying,use multimedia technology and network communication technology relying mainly on computer,network,and assist with the mathematics software.
In this paper, I consider the traveling wave solutions and peakons of the generalized Camassa-Holm (GCH) equation and give the express of the solitons of this equation. The peakons and their figures of the GCH equation are given with the Mathematic software for m -1 , m = 2 and m = 3 in particular ;
Meanwhile,the calculations of internal forces of rigid and elastic stabilizing piles are programmed based on these formulae by using mathematic software i.e. MATLAB.All the calculations can be performed,and reasonable visual figures can be transformed according to the calculation results by the program.
By considering the traveling wave solutions of the generalized Camassa Holon equation, the peakons of the generalized Camassa Halm equation are abtained, followed by some discussions about the property of the peakons. In particular, with the aid of mathematic software, we calculate the peakons of generalized Camassa Holm equation for m =1,2,3. We also find the traveling wave solutions of generalized dissipative Camassa Holm equations when m =3.
In this paper, the function of symbolic computation of math software Mathcad2001 Professional was employed as a tool to compute efficiently and quickly the six kinds of typical complex problems in structural chemistry with self-devolped programs.
By using the mathematical software Mathematica, the author gets the following results in this paper.
We discuss the verification of mathematical software solving polynomial systems symbolically by way of triangular decomposition.
Applied mathematical software and a web-based interactive handbook for thermal engineering: Problems and solutions
The practical application of this method can use all-purpose programming and mathematical software available to specialists of gas companies.
The Gauss-Kronrod quadrature scheme, which is based on the zeros of Legendrepolynomials and Stieltjes polynomials, is a standard rule for automaticnumerical integration in mathematical software libraries.