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First the math theory of machining simulation is studied, and the set structure of NC machining simulation system whose components, including time, input, output and so on, are defined. Hereby we set up the hierarchy structure, the logical structure, the static model and the dynamic model of simulation system. The construction method of sweep entity of cutter and rotation parts is researched, and their differential geometry invariants are calculated. NC code is unscrambled, and the recursion division arithmetic of time segment is put forward, which is the driven data of the movement or rotation parts. The CLDATA should be interference-free. To examine if there is interference between cutter flank and the work piece, an arithmetic that discussed the existence of intersecting curve between them is put forward. To examine if there is interference between two turrets, an arithmetic that discussed the existence of intersection set between two polygons is put forward.

首先研究加工过程仿真的数学基础，然后定义数控加工仿真系统的集合结构及时间集、输入集、输出集等概念，建立加工仿真的层次结构和逻辑结构，阐述双刀车削仿真系统的静态模型和动态模型建立方法，分析刀具扫描体和旋转部件扫描体的建立方法及其微分几何性质；研究NC代码解读技术和双刀加工时间段递归子分划技术，为驱动各仿真单元作数据准备；通过讨论后刀面和工件表面交线的存在性判断刀具后刀面与工件间是否干涉，通过求多边形的交集判断刀架与刀架是否干涉。

The training and practice of gamut , semi-gamut, arpeggio etc, play an important part in piano teaching.

在钢琴教学中，音阶、半音阶、琶音、属七和减七和弦琶音、双八度以及双三度等这些技术类型的训练占着重要的地位。

After years trying to get around on a pair of painful arthritic knees, Tony Basone decided to have them replaced.

在拖着一双患有关节炎疼痛的双膝行走多年后，托尼贝森决定更换它们。

These two shall be double at the bottom, and likewise double at the top, to the first ring.

木板下端应是双的，直到上端第一环，都应是双的。

The relation of the chromatographic retention indices of alkene to topological index,double bond atomic hybridization state index,polarizability effect index of branched chain to double bond atomic,immobile liquid polarity values and column temperatureat different temperatures on different stationary phases was studied.

通过对部分烯烃在不同固定相不同柱温下的1031个样本集的气相色谱保留指数值与其部分参数关系的研究，发现RI与拓扑指数、双键原子杂化状态指数、支链对双键的极化效应指数、固定液极性值及柱温的关系可表示为：^RI=-58.138+57.7460Q-8.2591Q+0.120T+0.807CP+36.460PBD+7.919DHSI(R=0.9989)继以留一法(Leave-one-out，LOO)进行交互检验，相关系数RCV=0.9977，说明所建模型具有良好的稳定性和预测能力，较好地揭示了烯烃类化合物气相色谱保留指数RI随固定相极性、柱温的改变而变化的规律

The aulos (the Greek word, Latinised, was tibiae )— usually double, consisting of two double-reed pipes, not joined but generally played with a mouth-band to hold both pipes steadily between the player's lips.

该 aulos （希腊字，Latinised，是胫骨）-通常是双，其中包括两个双芦苇没有加入管道，但一般乐队奏了嘴对持有球员的嘴唇都管稳步之间。

Embryo development and origin of twin-embryo of autotetraploid rice with twin-embryo seedlings were observed and verified.

利用激光扫描共聚焦显微技术对同源四倍体双胚苗水稻的受精过程、胚胎发育过程和双胚来源进行观察鉴定。

The key part of light alarm circuit of the system is the flashing tube and the life level of the main charge and discharge capacitance. Thus ,in this design, adopted autotransformer step-up type, two-level filter and double flashing tube, in order to light the burden of the main charge and discharge capacitance, reduce the heat productivity and extend the life level of the capacitance.

在系统的光报警电路中关键部件是频闪管和主充放电容的寿命，因此在电路设计中采用自耦变压器升压方式和双级滤波、双频闪管等独特的电路结构，减轻主充放电容的负担，减少发热量，延长电容使用寿命。

Double click entry for username/password copy - If AutoType fails, you can double click an entry to have its password copied to the clipboard.

双击进入用户名/密码复制-如果a utotype失败，你可以双击一个条目有它的密码复制到剪贴板。

Provable Security is a formal method for proving the security of cryptographic schemes, in which the difficulty of breaking a particular scheme is formally related to that of solving a widely believed computational hard problem. Provable security has already become an important theme of theoretical researches in modern cryptography. This dissertation investigates the provable security of public-key encryptions and hybrid encryptions of asymmetric and symmetric encryptions. This includes the various formal security notions and the constructions can be proved to achieve them. Among the constructions, hybrid encryptions are themselves an important way to obtain public-key encryption schemes with chosen ciphertext security. The main results are as follows:(1) The one-wayness of the trapdoor one-way function in NTRU depends on the randomness of the session key, which is different from previous ones. Based on this observation, a new kind of trapdoor one-way function, trapdoor one-way functions with an auxiliary random variable is proposed.

可证明安全性是一种证明密码学方案安全性的形式化方法，它将密码学方案的安全性归约为公认的计算难题，已成为现代密码学领域中理论工作的主线，本文主要研究公钥加密与单双钥混合加密的可证明安全性，这包括它们的各种形式化安全性定义以及达到这些安全性定义的方案构造，而单双钥混合加密本身也是一种构造选择密文安全公钥加密的重要方法，本文得到的主要结果如下：(1)在研究NTRU公钥加密的特殊性基础上，对于公钥加密的陷门单向函数加密模型进行了扩展，提出了具有辅助陷门单向函数的概念，并将其扩展到多元的情况，讨论了可能的密码学用途。

What would he tell Judith and the children?

他将怎样告诉朱迪丝和孩子们呢？

I this is at that time, the opinion with peacockish true girl is full of in a heart.

这就是当时的我，一个心中布满虚荣的女孩子真实的想法。