查询词典 algebraic irrational number

Aiming at OQL, we treated type as monoid (collection monoid and primitive monoid), and used monoid comprehension as OQL's intermediate representation. Therefore we can merge the rewrite rules for a number of collection types, then employ monoid comprehension in defining algebraic operators, as cut out the limit that in relational algebra/calculus algebraic operators are only for set.

针对ODMG-2.0的对象查询语言OQL，我们把类型提高到幺群级，然后从幺群概括入手，用幺群概括作为OQL的查询中间表示，统一了多种聚集类型的重写规则，幺群概括还被我们用于定义代数操作符，这使得代数操作符突破了关系代数/演算中只针对集合的局限。

Computing integral closure of a finite extension is not only an important problem in commutative algebra, but also in algebraic geometry and algebraic number theory.

计算有限扩张的整闭包不但是交换代数中的一个核心问题，也很受代数几何以及代数数论发展的推动。

The article is mainly disscuss the universal application of primary transformation in higher algebraic,linear algebraic and elementary theory of number.

本论文主要讨论了矩阵的初等变换在高等代数、线性代数以及初等数论中的广泛运用。

Main contributions and achievements are as follows:A general non-equilibrium rigorous model for RDP is developed in this thesis. Based on the pseudo-homogenous assumption, two main factors reaction and separation are de-coupled, and an RDP model with the same format as that for a traditional distillation process is established. To solve the model with a large number of algebraic equations, modified M-K equations with tri-diagonal matrix form are developed based on the improved Separation Efficiency Functions, which greatly increases the iteration efficiency. This thesis also develops a general reactive distillation dynamic model. Through splitting of the differential variables based on SEFS, large-scaled differential algebraic equations can be solved with the improved Gear's algorithm which makes the dynamic model suitable for the on-line application. A simulation platform for the control loop design and evaluation of RDP by introducing control system equations into the dynamic model is also developed.A lactic acid purification pilot-scale RDP is investigated.

论文对热点问题——反应精馏过程的建模与优化控制相关技术进行了深入的研究，取得了一系列成果：1、建立了反应精馏过程机理模型，基于拟均相假设，将反应和分离过程进行解耦，推导出反应精馏过程的非平衡级稳态模型和动态模型，通过引入推广的分离效率函数，对模型变量进行了合理划分，显著提高了模型求解效率；将动态模型和控制系统方程结合，建立了反应精馏过程控制系统研究的辅助工具。2、全面分析了乳酸提纯反应精馏新工艺试验装置，利用本文建立的过程机理模型，对该试验装置进行了稳态和动态性能分析及水力学核算；设计和分析了单边质量控制方案，比较了间接和直接物料平衡控制两种方案的控制性能。

Mainly manifested in: the growth rate of investment is still high, the problem of irrational investment structure is still evident; capital loans continue to rise, the problem of irrational credit structure remains relatively conspicuous; coal, electricity, oil, and transport supply and demand tension electricity Yingfeng aestivation of the situation is quite grim; pressure on overall price level is still larger; total grain supply and demand and the obvious contradiction between the structure of the varieties, rapid decline in grain stocks.

主要表现在：投资增幅仍然偏高，不合理的问题仍然是投资结构明显；资金贷款继续增加，不合理的问题信贷结构仍然比较突出；煤，电，油，运的供应和需求峰度夏用电紧张的形势相当严峻；压力，价格总水平仍然较大；粮食总供求关系和矛盾突出的品种结构的快速下降，粮食库存。

The filling process was simulated to analyze local overheat in die resulting from irrational filling and cold shut occurred in far-end in aluminum alloy engine bracket.The results indicate that the defects are caused by irrational ingate design.

针对铝合金摩托车发动机支架在压铸生产中充型不合理导致模具局部温度过热以及铸件充型远端容易出现冷隔缺陷等问题，运用数值模拟方法对压铸工艺过程进行分析，发现内浇道结构不合理是导致以上问题的主要原因。

The main research methods are:(1)Theory analysis:from the 2D plane geometry analysis, dots continuity characteristics are found. The first time irrational fraction algorithm is used in FM program.(2)Experiments reaearch:experiments of condition halftone function are designed under the cross-experiment principles. The first time variable information printer and C# language are used in experiment.(3)Data processing:new type digital density apparatus is used to measure data. Compare is used in processing data and error cause are explained. The main works as follows:The dot area percentage has been gained and new condition halftone function has been set up.(2)After being corrected, speed of irrational fraction algorithm has been compared with multiplicative congruence algorithm's.

本文的主要研究方法有：(1)理论分析：运用数字加网原理，从二维平面几何分析入手，借助实验验证研究网点连续特性；首次系统地把无理数取尾法随机数生成器引入到调频加网系统中，根据实验修正生成器的模型，运用统计假设检验理论，对生成的随机数序列进行统计假设检验；(2)实验研究：根据正交实验法则设计实验，首次采用可变信息印刷机(HP Laser PS印刷机)输出实验样张，克服了用传统胶印机作实验影响因素多的缺陷；采用新型数字式密度仪测量密度值，提高了数据精度；采用最新编程语言编写调频加网程序；(3)数据处理与分析：利用平均值比较法处理数据，对误差产生的原因进行讨论。

Tthe main causes of ecological degradation include irrational utilization and traditional economic modes which embodied population rapid growth, destroying forest and opening up wasteland, tillage in steep slope, excess graze, mangling trees, single tree variety, irrational utilizing land and low level industrial structure except for natural reasons such as water, soil and slope.

本论文依托于赤水市生态修复项目，从水土保持生态修复的概念出发，论述生态修复的理论基础，分析赤水市生态退化的机理，根据赤水市生态修复区的生态环境现状和生态修复试点县的经验，提出赤水市水土保持生态修复措施和修复模式。

Just like that there are an irrational root and a rational root for the existence of quadric equations with one unknown, there is objectively a "triple root" solution for sports will: these three roots are unified root, rational root and irrational root.

正像数学一元二次方程存在无理根和有理根那样，体育意志也客观地存在着"三重根"：它们是统一根、有理根和无理根。

Just like that there are an irrational root and a rational root for the existence of quadric equa-tions with one unknown, there is objectively a "triple root" solution for sports will: these three roots are unified root, rational root and irrational root.

正像数学一元二次方程存在无理根和有理根那样，体育意志也客观地存在着"三重根"：它们是统一根、有理根和无理根。

Diabetes is a social disease that affects several million people worldwide.

糖尿病是一个社会性疾病，全世界有数百万人罹患此病。

I'll call you on Friday to see if we can reschedule our luncheon meeting at your convenience.

我星期五会给您打电话在您方便的时候我们重新安排我们的午餐约会。