文中涉及的主要理论有群论，伽罗华域，模代数和线性代数。
The main means used in the paper are group theory, Galois field, module algebra and linear algebra.
本文用模代数讨论三值触发器。提出了基于模代数的三值JK 触发器。
Ternary flip-flops(tri-flop)are discussed by means of modular algebra, and a JK tri-flop based on modular algebra is proposed.
利用张量和模代数知识，构造出了自由丛的浸入子丛和任一模丛的浸入子自由丛。
The immersed subbundles of free bundles and the immersed free subbundles of any module bundles are constructed, by using theoretics of tensor and module algebra.
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.
本文用代数的方法求出了耦合谐振子的简正模，过程简单且物理意义清晰。
Normal mode of coupled harmonic oscillator is obtained by means of algebra, the procedure is simple and the physical meaning is clear.
多项式模归约算法是计算机代数中的基本问题之一，在编码算法和密码体制设计中有着广泛应用。
Polynomial modulo reduction algorithms are one of the fundamental issues of computer algebra, and widely used in coding algorithms and cryptographic system design.
从那时开始，人们发现量子群在很多领域都有着深刻的应用，范围遍及理论物理、辛几何、扭结理论与约化代数群的模表示理论等。
Since then they have found numerous and deep applications in areas ranging from theoretical physics, symplectic geometry, knot theory, and modular representations of reductive algebraic groups.
分式环和分式模以及与之相关的局部化方法是交换代数中一个重要工具。
The fractional ring(module)and the interrelated localization method are the important tools for commutative algebra.
用定性模空间和区间代数刻划了定性定量相结合的求解方法。
Used qualitative model space and interval algebra to depict the solving method combining the quality and quantity.
并对“近世代数”（吴品三）、“抽象代数”（徐诚浩）中有关模格维数几个定理证明的遗漏，作了某些补证。
The paper also gives some corrections to several theorems and their proofs about the dimension of the modular lattice ih the books" Modern Algebra" by Wu and "Abstract Algebra" by Xu.
从复变函数理论出发，利用辐角原理、最大模原理、最小模原理给出代数学基本定理的几种新的证明方法。
This paper uses several methods of complex functions theorey to prove fundamental theorem of algebra by argument principle, maximum modulus principle and minimum modulus principle.
如果你想成为手工艺人、纫工、型工或制模工，你需要代数和几何，甚至三角。
If you want to be a draftsman a machinist a molder or a patternmaker you'll need algebra and geometry and even trigonometry.
本文研究了广义幂级数代数的滤链维数与倾斜模。
In this thesis we discuss the filtration dimensions and tilting modules of generalized power series algebras.
给出了弱t -余代数的定义，构造了其上的模结构。
The definition of weak T-coalgebra is given and modules over it is constructed.
证明了广义限制李代数意义下的诱导模成为(？)-模范畴对象。
We prove that as a generalized restricted Lie algebra, the induced modules of s (m; n) are objects of the (?) -module category.
这些结果无疑对更进一步研究分式环(模)及局部化方法，特别是投射几何代数的研究大有裨益。
These results will take an important part in studying fractional ring (module), localization method and projective geometry.
模的理论是现代数学中越来越重要的工具，它统一了许多数学结构，也是研究交换代数的基本工具。
The theory of modules is increasingly important in modern mathematics. It unifies many mathematical structures, and is the basic tools in commutative algebra.
从复变函数理论出发，利用辐角原理、最大模原理、最小模原理给出代数学基本定理的几种新的证明方法。
The minimum modulus principle is proved by using the preserving field theorem, and the span of minimum modulus point is discussed.
从复变函数理论出发，利用辐角原理、最大模原理、最小模原理给出代数学基本定理的几种新的证明方法。
The minimum modulus principle is proved by using the preserving field theorem, and the span of minimum modulus point is discussed.
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