这是由比杰甘尼坦——这个名字而来，给予和计算的代数形式。
This is borne out by the name - Bijaganitam, which was given to the algebraic form of computation.
要想用一个经济模型来计算，那这个模型就必须要有具体的以代数形式给出的表达式。
But to compute an economic model, this theory has to be given concrete form, spelt out in definite algebraic terms.
遗憾的是，由于其矩阵表达式有些复杂，一般都将修改后的第一辅助准线表示为代数形式。
The pity is that the first auxiliary directrix after modification is generally expressed in an algebraic form, because of the complexity of the vectorial expression.
用双代数形式表示的不变量具有简洁、具体的表达式，可以由图像点坐标和基础矩阵直接求出。
The invariants of double algebra's form has simple and explicit expression which can be computed directly by coordinates of image points and fundamental matrix.
结果在拉格朗日的视野中，微积分是关于函数的一种代数形式演算，而函数是由一个解析表达式给出并且均可展成幂级数。
Results in perspective of Lagrange, the calculus was a kind of algebraic calculation of the function given by an analytical expression, which could be developed into power series.
向量是近代数学最基本的概念之一，它具有代数形式和几何形式的“双重身份”，是沟通几何、代数、三角等内容的桥梁。
The vector is one of the most basic concepts in modern mathematics, it has a "dual status" - "Algebra form" and "geometry form". It is a bridge to link up the contents of geometry.
导出了关于混合模的耦合边界积分方程组及其退化形式，并用矩量法将之离散为齐次代数方程组，从而得波导的混合模传输常数；
The coupled boundary integral equations and their reduced forms are deduced for hybrid mode problems, and these equations are discreted into a system of linear algebraic equations by moment method.
香农在1938年意识到该代数的形式和电子开关(这一类开关具有通-断两种状态)的功能的相似性。
Shannon, in 1938, recognized the parallels between this form of algebra and the functioning electrical switching systems, in that switches are two-state, on-and-off devices.
本文分析了连续模型一种并行算法的一般形式，由此提出了线性代数方程组通用的并行算法的结构形式。
This paper analyses the general form of algorithm about continous model, therefore puts forward the type of structure of parallel algorithm of linear algebraic equations.
在不同的风速条件下，采用牛顿下降梯度法迭代求解非线性代数方程组形式的系缆气球平衡方程。
For the different wind speed, the equilibrium points could be got from the trim equations solving by Newton iteration method.
借助于SU(1,1)代数，将三维谐振子与加反平方势的三维氢原子表示成具有相同形式的两算符下的本征值方程。
In terms of SU (1, 1) algebra, the eigen equations of three-dimensional Harmonic Oscillator and hydrogen atom in inverse square potential are counterchanged the same equations in form.
利用代数对角化方法，可得到压缩态形式的能量本征态和相应的能量本征值。
The energy eigenvalues and the squeezed state solutions are obtained by making use of algebraic diagonalization.
在通信协议的一致性测试中，可以使用构造类别代数来对协议进行形式化的描述。
The constructed type algebra specification has been used to specify communication protocols in protocol conformance testing.
根据复合材料平均应力与应变关系，获得了预测有效轴向模量的形式简单的代数方程。
Further a group of algebraic equations to predict effective longitudinal shear modulus of multiphase fiber composites were obtained by virtue of the averaged stress strain theorem.
并通过算子代数的分解以及对称理想的结构给出各类退化算子代数的一般形式。
And give general forms of every class of degenerate operator algebras by the representations of this algebra and constructions of symmetric ideals.
采用近世代数和时序逻辑的方法定义了形式化描述语言，并形式化地描述了密码协议的分层安全需求。
Using temporal logic and algebra, a formal requirement language was presented and used to describe the formal hierarchy requirements for cryptographic protocols.
最后，用时态映射定义的元组对双时态关系进行定义，并由此给出双时态关系代数运算的形式化描述。
Finally, bitemporal relation is defined as the set of the temporal mapping tuple, and the bitemporal relational algebra operations are described formally.
本文简单分析了满足GIS空间查询代数的一般要求，然后形式化地定义了一种适合于GIS空间查询的变量查询代数。
General requirements of spatial query in GIS are briefly outlined in this paper. A Variable query Algebra is formally defined for spatial query of GIS.
利用向量代数中定比分点公式的向量形式，给出了一种非常简明有用的求容积比中线段比的新方法。
Applying the vector representation of formula for definite proportional division point in vector algebra, this paper obtains a new useful method of compunction for segment ratio in volume ratio.
形式化语义和代数法则在实践应用是很有用的。
Operational semantics and algebraic laws are very useful in practice.
大型稀疏代数方程组是稳态过程模拟与过程设计数学模型的典型形式。
A large system of sparse linear and nonlinear algebraic equations is the typical form of mathematical models of process design and steady state process simulation.
FSP是一类描述并发程序形式化规约的进程代数记法。
FSP is a kind of process algebra notation that can be used to describe formal specifications of concurrent programs.
首先给出了典型李代数自同构的一些性质，接着用矩阵的形式具体给出典型李代数自同构共轭的充要条件，并计算了任意阶自同构的不动点集。
In this paper, some properties of automorphisms of classical Lie algebras was given first and then a classification of conjugacy automorphisms using only the matrix theory was presented.
在用进程代数建模工作流时，只是考虑了模型的形式化语义以及模型中的各种控制流关系。
When using process algebra to model workflow, we only consider its formal semantics and its control flow.
数学从萌芽时期开始，历经了初等数学时期、变量数学时期、近代数学时期和现代数学时期。人们已经从数学的内容、表现形式、作用等方面为研究数学的特点提供了框架。
People had already provided the frame for the research of mathematical characteristics from the aspects of the content, forms of expression, the role and the research procedure of mathematics.
进而，从对称的观点说明婚姻形式从简单到复杂的演化过程，代数上对应于对称群阶数的增加，几何上则对应于对称性的加强。
Furthermore, it illustrates when the form of marriage changes from simplicity to complexity, the group has better symmetry on geometry, the order of the group is h...
理论已经逐步形成描述在有限群，标准化的形式和顶点算符代数之间的关系。
The theory has evolved to describe the relationship between finite groups, modular forms and vertex operator algebras.
其次，研究基于性能评估进程代数的系统生存性形式化建模方法。
Secondly, formal modeling method of system survivability based on performance evaluation process algebra is studied.
其次，研究基于性能评估进程代数的系统生存性形式化建模方法。
Secondly, formal modeling method of system survivability based on performance evaluation process algebra is studied.
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