查询词典 algebra

The dynamic characteristics of stochastic truss structures and stochastic frame structures are analyzed by using Random Factor Method. Then, from the expressions of structural random response of the frequency domain, the computational expressions of the mean value, variance and variation coefficient of the mean square value of the structural displacement and stress response under the stationary random excitation or non-stationary random excitation are developed by means of the random variable's functional moment method and the algebra synthesis method.

考虑压电智能桁架结构物理参数、几何参数、结构阻尼和外荷载、闭环系统控制电压分别或同时为随机变量，构建了结构在随机力作用下的动力响应分析模型，提出了求解方法，推导出结构动力响应随机变量的数字特征计算表达式，通过算例验证了所建模型和所提求解方法的正确性和有效性。

From the point of view of measure theory, this paper gives the unified definition of measurable real fuzzy set-valued function and n-dimensional measurable real fuzzy set-valued function, and discusses the fundamental properties of them and their invers fuzzy set-valued function by combining with fuzzy σ-algebra.

5研究了有界闭复模糊数的四则运算、交并运算以及上下确界、上下极限与极限运算的若干基本性质

The Italians mercifully took the second and third words of this phrase and combined them to form algebra.

意大利仁慈了第二次和第三次的话这句话并结合他们的形式代数。

One reason is that the model is an algebra method and it is based on the theory of minimal element. It can give more credible proof. Another reason is that the model tries to prove security of protocols, rather than check them. Thirdly, the model is simple and easy to use, and proof can be finished by manual. Moreover, graphic description makes its proof more comprehensible. Fourthly, there is much research work related to the model, which gives me a good springboard.

首先，该模型是一种代数方法，以极小元等理论为基础，可以给出可信度较高的证明；其次，该模型不是验证协议，而是试图证明协议的安全性；第三，该模型简单、易用，可以手工的方式完成证明，而且图形表示使其证明更加直观；第四，关于该模型有许多相关的研究工作，这为进一步工作打下了良好的基础。

Computer; mathematical problems; Mizar project; quaternion numbers; algebra structure

计算机；数学问题； Mizar系统；四元数；代数结构

On the base of these, and the ideas of mathematical curriculum reform and the course of the reform of solid geometry, combining with educational reality and students" psychology, put forward some thoughts about solid geometry of middle school in future:(1) The arrangement of curriculum content should. give consideration to both the logical sequence of knowledge and the development of students" psychology, and make them united;(2) Paying great attention to the analogy of plane geometry and solid geometry;(3) Some respects remained to be strengthened about solid geometry in senior middle school;(4) Emphasizing the importance of conversion in solid geometry;(5) Stressing on the combination of solid geometry and algebra and other subjects;(6) The design of the content of solid geometry should have certain elasticity, and make solid geometry and modern education technology well combined.

在此基础上，又植根于近年来我国数学课程改革的理念和立体几何课程改革的进展，并结合我国的教育实际与学生心理，对未来中学立体几何课程的设胃提出若干思考：(1)课程内容的编排，要兼顾知识的逻辑顺序和学尘的心理发展相统一；(2)重视平面几何和立体几何的类比；(3)高中阶段立体几何有待加强的几个方面；(4)强调变换在立体几何中的重要性；(5)注意将立体几何和代数及其他学科相结合；(6)立体几何内容的设计要有一定的弹性，并注意与现代教育技术相结合。

If you want to be a draftsman, a machinist, a molder, or a patternmaker, you'll need algebra and geometry and even trigonometry.

如果你想成为手工艺人、缝纫工、造型工或制模工，你需要代数和几何，甚至三角学。

Parts of current parallel databases support expanding of data types, but all of them lack of theoretical foundation. It is difficult to predicate the performances of parallel query, complicated to optimize parallel query and unattainable to keep the correctness of parallel query optimization This thesis, for the first time, combines monoid algebra system with BSP parallel model systematically, and provides a general-purpose parallel object-relational database systems-PORDBMS.

文章系统地研究了资源分配问题的分解协调理论与方法，给出了非线性分解式模型的构造和有效的求解方法，其中对主问题提出了适应性较强的修正算法，可用于一些难于公式化的问题的模型构造与求解，逐步寻优策略可有效地求解非线性关联约束优化问题。

Because the normalization rules of monoid algebra system can reduce the size of query spaces effectively and BSP model is an accurate predicable performance model, two-phase parallel query optimization model is proposed. For the increasing of large and complicated data applications, the parallel implementation technologies of large objects are investigated too.

对互联水火系统短期交换计划与调度，提出的分解式逐次寻优搜索法，解决了含有复杂梯级电站和混合发电系统的多区域交换计划优化和水电调度问题，为多区域水火互联系统计划调度提供了一种有效的手段。

The notion of morphism recurs in much of contemporary mathematics. In set theory, morphisms are functions; in topology, continuous functions; in universal algebra, homomorphisms; in group theory, group homomorphisms.

尽管态射的本质是抽象的，多数人关于它们的直观来自于具体范畴的例子，在那里对象就是有附加结构的集合而态射就是保持这种结构的函数。

Researches reveal that students who suffer from corporal punishment tend to resort to violence in their future life.

研究表明遭受过肉体惩罚的孩子倾向于在他们今后的人生中使用暴力。

Total sugar of sarcocarp and chlorophyll of pericarp increased firstly, and then decreased afterward along with altitude; Titratable acidity, ascorbicacid and anthocyanin of pericarp were increased along with altitude; The content of protein increased firstly and decreased afterward along with altitude; Carotenoid of pericarp were decreased along with altitude.

果肉总糖和果皮叶绿素含量随海拔高度升高先升高后降低；可滴定酸、维生素C和果皮花青苷含量均随海拔升高而升高；蛋白质在1720m处最大，1420m处最小；果皮类胡萝卜素随海拔升高而降低。