查询词典 algebraic expression

By the computer algebraic system-REDUCE,the expression of the transition variety is obtained.

其中转迁集的表达式是由REDUCE系统推得的。

A radical is an indicated root of an algebraic or arithmetic expression.

根式是一个代数或算术表达式的一个确定的根。

Mathematics being an algebraic or geometric expression from which another expression is derived.

指其他表达式是从中派生出来的代数或者几何表达式。

The hybrid model is a combination of non-linear algebraic equation group and differential or difference equation group, and possesses the ability to integrate equations in inhomogeneous expression form.

本课题抓住这一前沿研究，从经验知识与经验数据的综合利用入手，对软测量模型的结构、模型构建方法以及软测量系统的关键技术进行深入研究。

In this dissertation, we construct the Bariev model with nine kinds of boundary fields by the matrices K_± defining the boundaries. And then the Lax operator is given in the form ofmatrix, as well as the basic quantities, e.g., the R -matrix, the monodromy matrices and the transfer matrices are defined. By using the expression of the local Lax operator of the model,the action of the monodromy matrices T, T~(-1), U_ on the pseudo-vacuum state is given outin detail. Furthermore, the main fundamental commutation relations are obtained through the reflection equations, the recursive n-particle state as well as the one-particle exact solution is given and the Bethe ansatz equations are found accordingly. Finally, we list the nesting boundary K matrices, which play a crucial role for obtaining the n-particle solution and finding the Bethe ansatz equations, the eigenvalues of the transfer matrices and the energy spectrum of the system by means of the nested algebraic Bethe ansatz method.

在这篇文章中，我们利用边界K_±矩阵构造出了具有九种边界场的Bariev模型，同时给出了该模型L算子的具体矩阵表示形式，并定义了R矩阵，monodromy矩阵以及转移矩阵；接着利用L算子的矩阵形式，给出了其对应monodromy矩阵T、逆矩阵T~(-1)作用到真空态上的值，并利用Yang-Baxter关系及反射方程得到了双行monodromy矩阵U作用到真空态上的值；然后利用反射方程通过复杂的计算得到了一系列重要的基本对易关系式，并给出了模型的递推的多粒子波函数、单粒子解及Bethe ansat方程；最后给出了模型的嵌套的边界K矩阵的具体形式，从而为运用嵌套Bethe ansatz方法求解该模型的多粒子解、Bethe ansatz方程以及系统的能谱打下了很好的基础。

The Riemann- Jacobi inversion is discussed to yield the final expression of explicit solution by means of the Riemann theta function, which is directly related to algebraic geometry.

为了最终生成由θ函数所给出的显式解，我们讨论了Riemann-Jacobi反演，这一过程直接关系到代数几何。

In this section we look at the theory behind the techniques used in rotary polishing and the effects that they have on paintwork and the results achieved.

在这里看抛光剂使用背后的理论，到底是怎么一回事，我们如何用好的抛光机和好的使用技巧来达到好的效果。

I'll dig like a psychotic rodent if I have to.

那我就帮你挖到中国去。