查询词典 algebra

The theory of rings is an important content of Modern Algebra, while the polynomial rings is an important part of the rings. Polynomial ring is similar with power series ring, and it is a subset of the power series.

摘要环论是近世代数中的重要内容，而多项式环的性质又是环论理论中的重要组成部分，多项式环是幂级数环的子环且与幂级数环形式相近。

8 Chapter 3 Number Systems and Boolean Algebra 3.1.2 Positional Notation The exponential powers of the positions are critical for understanding numbers in other numbering systems.

位的指数幂在理解其他计数制中的数时是个关键。基数小数位的指数幂在理解其他计数制中的数时是个关键。

11 Chapter 3 Number Systems and Boolean Algebra 3.1.2 Positional Notation Example 3-1 shows a 110.101 in binary (often written as 110.1012). It also shows the power and weight or value of each digit position.

给出了一个二进制数110.101(通常写成通常写成110.1012)，也给出了这个数每例3-1给出了一个二进制数给出了一个二进制数通常写成，个位的幂，权和值。

"Among the principal branch es of mathematics are algebra, analysis, arithmetic, combinatorics, Euclidean and non-Euclidean geometries, game theory, number theory, numerical analysis, optimization, probability, set theory, statistics, topology, and trigonometry."

数学的主要分支有：代数学、分析、算术、组合学、欧几里德几何和非欧几里德几何、赛局论、数论、计算数学、最优化、机率论、集合论、统计学、拓扑学和三角学。

The new method gives out a set of equations based on the fundamental algebra rules that principal stress trace obeys and the essential attributes it possess, we then combine these equations with further information described in this paper leading to an exact description of the conic representing the principal stress traces.

该方法是根据主应力迹线满足过任意三条等倾线的主应力都可以用二次曲线来描述这一条件，再利用主应力迹线本身所具有的性质列出方程组解算出描述主应力迹线的一元二次方程，然后根据方程描绘出所求的主应力迹线。

No prior preparation in probability and statistics is required, but familiarity with basic algebra and calculus is assumed.

初次学习本课程的学生不需要具备任何概率与统计学的基础，但要求学生熟悉基本的代数学和微积分知识。

Vector algebra, Vector product, Scalar product, Gradient, Divergence, Rotation, and several theories

掌握矢量代数运算，矢量积，标量积，掌握标量场与矢量场的特性参数及相应的定理。

The sufficient and necessary conditions which Fuzzy subalgebra of direct product Boolean algebra can be decomposed as direct product of two Fuzzy subalgebras are obtained.

进而分别定义了在对偶模意义下直觉模糊群的外直积与内直积。

Difference set is one kind of unbounded difference poset. The existenceof the tensor products of two cancellative difference sets are investigated. It isproved that the tensor product of a Boolean algebra and a cancellative differenceset always exists.

作为差分偏序集无界推广的差分集，我们研究了它的张量积问题，证明了任何消去差分集和布尔代数的张量积一定存在。

By this equality,we prove that the amplitude of a compact DG module M over a cohomologically bounded DG algebra A is just the sum of the amplitude of A and the projective dimension of M.

对于一个同调有界的连通DG代数上的紧的DG模，我们由此等式可得其振幅与DO代数的振幅的差恰是它的投射维数。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。