2 . the gordon theory of n - population lotka - volterra ecological system with constant coefficients is considered , the economic equilibrium conditions of the corresponding system , and the stability of economic equilibrium of system are discussed . by taxing about some over - exploitation populations how to restore optimal population level is moderately studied . the classical gordon theory is improved from opportunity cost 考虑了n种群常系数lotka - volterra生态系统的gordon理论，建立了相应系统的经济均衡条件，讨论了其经济均衡点在lotka - volterra几类系统中的的稳定性；对系统某些种群因捕获造成过度开发，如何通过征税恢复最优种群水平作了适当的研究；并从机会成本出发对所建立的gordon经济均衡条件作了改进。
In chapter 2 , the ii ordering is presented and the arbitrary functions and the arbitrary constants are least in the solution of formal series under the ii ordering by illustration ; furthermore , the author introduces the application of the standard form of reid to ascertain the target equation of linear constant partial equations 在第二章中，作者给出了reid标准型算法中的型序关系，通过举例说明在型序下，得到的形式幂级数解中任意函数和任意常数的个数最少；并提出了reid标准型的一个重要应用：确定线性常系数偏微分方程组的目标方程。
( 2 ) by the jacobi elliptic function expansion method and computer symbolic systems ( maple , matlab or mathematica ) , many exact periodic solutions of nonlinear wave equations can be obtained and under some conditions , these solutions degenerate solitary wave solutions , shock wave solutions , trigonometric function solutions respectively ( 2 )利用jacobi椭圆函数展开法和数学计算软件( maple ， matlab ， mathematica等) ，可以求得一类常系数非线性发展方程的双周期解，这些解能退化成孤立子解、冲击波解、三角函数解。
In addition , several way are adopted to optimize the one dimensional transform architecture . improving the architecture resulting from the standard lifting scheme reduces the critical path delay ; an embedded boundary extension algorithm is adopted instead of the standard symmetric extension and it ’ s easier to implement ; the pipeline technique is adopted to increase the speed of processing ; coefficients of the multipliers are transformed into csd forms and the multiplications are substitute by minimum shift - add operations 改进了由标准的提升算法得到的变换结构,减小了关键路径上的延时;采用内嵌的边界延拓来代替标准的对称延拓,实现更加简单;采用流水线技术显著提高了处理的速度;把乘法器系数表示为csd形式,将常系数乘法优化为最少的移位加操作。
