ASQL是基于对象代数的查询语言，本文讨论了对象代数表达式的等价变换规则，利用这些规则进行查询优化。
ASQL is a query language based on object algebra. Also we discuss the rules of equivalence transform and can use these rules to process query optimization.
逻辑上，每个规则表达式都等价于一个状态机，而每个规则表达式的语法分析器都实现这个状态机。
Every regular expression is logically equivalent to a state machine, and the parser of every regular expression implements a state machine.
操作数的顺序与等价的中缀表达式中操作数的顺序一致。
The operands are in the same order that they would be in the equivalent infix expression.
访问表达式作用域中xml名称空间列表，在测试名称的等价性时需要。
Access to the list of XML namespaces in scope for the expression, needed when testing the equivalence of names.
利用动力学等价关系导出了便于计算的表达式。
Here, the kinetic equivalent relationship is resorted to derive the expression convenient for computation.
本文揭示了路径表达式与3型文法之间的一种等价关系。
This paper reveals an equivalent relationship between Path Expresson and Type 3 Grammer.
为了得到目标函数的等价形式，首先导出期望完工时间的一个表达式。
First drives an expression of expected completion time in order to get the equivalent form of the objective function.
把等价的简单正则路径表达式聚成一个等价类可以减少它的计算成本。
Clustering multiple regular linear path expressions into an equivalent class can help to decrease the cost of their evaluation.
给出了用系统的ABCD矩阵元表示的用于进行此坐标变换的表达式和等价的张量形式的WDF的坐标变换矩阵(WCTM)。
The expressions and tensor form coordinate transform matrix of the WDF (WCTM) is given and expressed in terms of the ABCD ray transform matrix elements of the system.
基于等价类的划分、线性方程组的求解和标准基之对偶基的计算，提出了域元素分量代数表达式的三种求法。
Based on the partition of equivalent classes, the resolving of a linear system of equations and the calculation of the dual basis of the standard basis, three methodologies are presented.
另一数学形式等价于正则表达式，有限的自动控制用于循环设计和一些问题的的解决。
Another formalism mathematically equivalent to regular expressions, Finite automata are used in circuit design and in some kinds of problem-solving.
讨论了一般异面直线的相交直线存在及唯一存在的充要条件，证明了两者的等价性，并在唯一存在时给出了一般的表达式。
The full and necessary conditions that the intersection line with general straight lines in different planes existed and existed solely was discussed.
以二阶张量为损伤变量，推导了依赖于损伤变量的弹性模量表达式，利用一个等价状态，建立损伤岩体的本构关系。
Then the expression of damage-dependent elasticity tensor is deduced and the constitutive equations of damaged rock are built by using an equivalent state.
定义了最小路径矩阵的几种运算，利用所定义的运算，将多源点多汇点网络系统转化为等价的单源点单汇点网络系统，并给出了由子系统可靠度精确表示网络系统可靠度的解析表达式。
Minimal path matrix are defined. Based on the special vector operations defined in this paper, reliability of the systems can be expressed exactly by those of subsystems, and the algorithm is given.
在系数的某种等价关系条件下，股价的两类数学表达式，一类是基于明确型描述的由类似固体力学方法导出的最简微分方程（S.D.E。）
Two kinds of mathematical expressions of stock price, one of which based on certain description is the solution of the simplest differential equation(S. D. E. )
在系数的某种等价关系条件下，股价的两类数学表达式，一类是基于明确型描述的由类似固体力学方法导出的最简微分方程（S.D.E。）
Two kinds of mathematical expressions of stock price, one of which based on certain description is the solution of the simplest differential equation(S. D. E. )
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