For the non - self - adjoint dirac operators , there are plentiful content in the problems of eigenval ue expansion problems 从所得结果来看，对于非自伴dirac算子来说，特征展开问题具有相当丰富的内容。
For the expansion theorems of self - adjoint dirac operator , it is difficult to prove it by using the method of integral equation 对于自伴dirac算子的特征展开定理的证明，用积分方程方法有一定的困难。
The example of a numerical prediction model shows the basic method of developing adjoint assimilation system of numeric predict model 而后以一个数值预报模式为例，说明了构造伴随模式同化系统的基本方法。
That is to say , in order to measure the adjoint coefficients of sound radiation modes , we should design the particular shape of error sensor 因此我们必须设计出误差传感器来测量所需控制的声辐射模态伴随系数。
The result shows that the mm5 adjoint - model assimilation system can effectively assimilate the conventional data and adjust the initial field 对比研究结果表明， mm5伴随模式能有效同化常规观测资料，调整初始场。
Automatic differentiation technique is to add derivative calculation code to a process . it has two modes . one is adjoint mode 自动微分是一种对源程序增加微分计算程序的技术，它有切线性模式和伴随模式两种模式。
About dirac eigenvalue problem with general two points " liner algebra , corresponding operator of which often is non - self - adjoint operator 对于一般两点线性(代数)边界条件下的dirac特征值问题，相应的算子一般说是非自伴的。
Presently there are three methods to make sensitivity analysis : numerical simulation , adjoint and linear singular vectors ( lsvs ) 目前对数值模式进行敏感性分析的方法主要有三种：数值模拟方法、伴随方法和线性奇异向量方法。
Developing data assimilation system of numeric predict model by using the adjoint code technique is one of new four - dimensional data assimilation methods 用伴随码方法构造数值预报模式的伴随同化系统是目前较新的四维同化方法之一。
Adjoint function algorithms and direct collocation and nonlinear programming methods are applied to resolve the non - coplanar optimal orbit transfers problem 分别利用了共轭函数法与直接配置和非线性规划方法对异面最优变轨问题进行了求解。
