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Three operators, the transpositional, identical and forward differential, are introduced firstly. Then the Bezier curve in conventional Bernstein-Bezier form is transformed to its operator form. Several properties of the curve are discussed in its operator form.

首先引入三个基本算子：移位算子、恒等算子和向前差分算子，然后将Bernstein-Bezier形式的Bezier曲线表示为更为简洁和直观的算子表示形式，并进一步讨论算子表示下Bezier曲线的各种性质，给出相关证明过程。

Different from the routine trapeziform curve of frequency converting speed system, the motor's speed was adjusted according to exponential curve , and soft braking was realized by detent unit contained in the power module, enhancing the fluency and stability when running.

自动门的运行速度曲线与常用的梯形变频调速曲线不同，采用S形曲线对电机进行调速控制，以及采用自带缓冲制动单元的功率模块实现柔性制动，增强了自动门运行的稳定性和平滑性。

The population dynamic of Tsuga tchekiangensis in Wuyishan Nature Reserve was studied and its age structure, the life table, survival curve, mortality rate and killing power curve were analyzed.

对武夷山自然保护区南方铁杉种群动态进行了系统研究，绘制该种群的年龄结构，编制静态生命表，分析存活曲线、死亡率曲线和损失度曲线。

The study covers the vertical displacement distribution character of each mode of Rayleigh wave, theoretical dispersion curve character of multi-modes Rayleigh wave and the characters of the max-mode Rayleigh wave dispersion curve in different layers structure, which are velocity increasing with deep, high velocity layer within underground, low velocity layers within undergroan and high velocity surface layer, within the depth of 15 meters.

研究了地层速度随深度递增型、地层中有硬层或软夹层型、表层为高速的公路型等4种地层结构在15m深度内，瑞利面波各阶模态的位移幅度分布特征、多阶模态面波的理论频散曲线特征以及不同地层结构上的&最大模&面波频散曲线的特征。

The standard curve was constructed by using gene chip after the methylated and unmethylated DNA were mixed at different ratio. Then treated samples of U266 cells were dotted on gene chip, obtained results were compared with standard curve to get the quantitative results.

采用基因芯片的方法，将完全未甲基化的DNA和完全甲基化的DNA混合后制成标准曲线，将U266细胞株样本处理后点在芯片上与标准曲线进行比较后得出定量检测的结果。

Any given oil well has a finite supply of oil, and the wells' production follows the shape of a bell curve. Extracting oil is cheap and easy on the curve's upslope but after the the well has peaked – the point at which half of the well's oil has been extracted – production becomes more difficult and expensive. The output of the well begins to decline and will never recover; production falls steadily and the cost to extract the oil rises.

由於任何一个油井都只有固定的供应量，因此每个油井的原油产量都会遵循钟型曲线：一开始汲取原油很便宜也很容易，因此曲线是上升的，但当油井的产量到顶之后–也就是油井中的原油存量已被汲取出一半时–原油的生产就会变得愈渐困难且昂贵，油井的输出产量也开始下降，而且再也无法恢复，所以产量也将持续减少、使得生产成本不断增加。

It's a curve, but its a nasty, wiggly line that looks more like the trail of a worm on LSD than it does like any curve worthy of the name.

它是一条曲线，但它是一条没有固定模式的，波动的线，就好像吃了迷幻药的虫子的尾巴一样的曲线，而不是任何一条已经知名的曲线。

One is to understand the Spectral Characteristic Curve; the other is to satisfy the conditions of similar analogy, which means that the spectral characteristics are similar between the studied area and the area for collecting standard spectral curve as well as the area for analogizing.

这一领域已有的研究工作主要集中在如下几个方面：①图像处理，包括以增强和提取成矿信息为目的的图像增强、图像变换和图像分类等；②地质解译；③遥感地面模式的研究；④数据融合；⑤遥感生物地球化学研究。

This paper creatively engrafts elliptic curve encryption algorithm with fuzzy recognition theory, puts forward t-order iteration encryption and t-order iteration decryption algorithm of fuzzy recognition based on elliptic curve.

本文别具心裁地将椭圆曲线加密算法与模糊识别理论相互嫁接，提出基于椭圆曲线的模糊识别t-阶迭代加密与t-阶迭代解密算法。

The loading method and the quantity of linker had greater effect on in-vitro release curve. Release curve of incubation-absorption and entrapping method had two phases—quick release phase and slow release phase. And the first phase lasted about one hour and released 70% drug.

载药方法和交联剂用量对释药曲线有显著影响，吸附法和包埋法制备的载药DSMs的释药曲线明显分为快速释药阶段和缓慢释药阶段，第一阶段持续约1 h，释放药物的70%左右。

If you are committed to an education career, then the Master of Arts in Education from Ashford University is for you.

如果你是致力于教育事业，那么，艺术教育硕士学位阿什福德大学是给你的。

objective:to explore the expression of survivin protein and its mrna in rectal cancer and their clinic significance.

目的：研究凋亡抑制因子survivin蛋白及其mrna在直肠癌组织中的表达及其与临床病理关系。