为建设更加适合在线学习和混合式教学的数学实验网络平台,运用最新的MATLAB Web App技术和JavaWeb技术,开发了数学实验在线课堂。该在线课堂将实验教学与其同步的演示操作封装成MATLAB Web App,开发了基础实验教学、综合实验教学和展示Web App模板,实现了线上教学、实验练习与互动演示的深度融合。实践表明,该在线课堂提高了数学实验项目的上线效率、质量和在线教学水平。
In this paper, we investigate the growth of transcendental entire solutionsof the following algebraic differential equation a(z)f'~2 +(b_2(z)f^2 +b_1(z)f +b_0(z))f'=d_3(z)f^3+d_2(z)f^2 +d_1(z)f +d_0(z), where a(z), b_i(z) (0<- i <=2) and d_j (z) (0<=j<= 3) are allpolynomials, and this equation relates closely to the following well-known algebraic differentialequation C(z,w)w'~2 + B(z,w)w' + A(z,w) =0, where G(z,w)not ident to 0, B(z,w) and A(z,w) are threepolynomials in z and w. We give relationships between the growth of entire solutions and the degreesof the above three polynomials in detail.