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NTRU is one of the most compact and the fastest public-key-ciphers known. Its security is based on the hard mathematical problem of finding the shortest vector in a lattice of very high dimension in polynomial time.

NTRU是一种既速度快又结构紧凑的快速公钥体制，其安全性基于在有效时间内不可能从一个大维格中找到一个短向量的数学困难问题。

for correction of barrel distortion due to wide-angle lens es based on a polynomial

为了修正广角镜头的桶形畸变，本文提出了一种基于样条函数的修正方法。

Polynomial matrix ; decoupling zero ; complexity ; stability.

多项式矩阵；解耦零点；复杂度；稳定性

Most of previous segmentation approachs make use of the surface curvatures or the approximative polynomial coefficients which are very sensitive to noise, but the mathematical morphological operations are robust, so another main advantage of our scheme is its good noise immunity.

以前的大多数分割方法都使用表面的曲率或近似多项式的系数，表面的曲率或近似多项式的系数的计算对噪声很敏感，而数学形态学运算具有较好的抗噪声性，因此我们的方法的另外一个优点是它具有良好的抗噪声性能。

Based on ASTA automaton, an algorithm is proposed for checking AXML validation performing in polynomial time.

Active XML作为一种分布式Web数据管理工具，由Abiteboul等人于2002年首次提出[1]。

Used squared eancroid method for CCD image subdivided locating,discussed on squared cancroid method,and compared it with traditional centroid method, Gauss curvefitting method , and polynomial interpolation method.

介绍了激光三角测距传感器的基本工作原理和激光光斑成像噪声处理的主要方法，将平方加权质心法应用于激光在CCD中成像的细分定位，并与传统质心法、多项式插值法和高斯曲线拟合法进行了较为系统的比较；通过实验表明，平方加权质心法是一种较为理想的细分定位方法，不仅简单、易于实现，而且具有更高的定位精度以及抗噪声的能力。

Used squared cancroid method for CCD image subdivided locating, discussed on squared cancroid method.and compared it with traditional centroid method, Gauss curvefitting method, and polynomial interpolation method.

本文介绍了激光三角测距传感器的基本工作原理和激光光斑成像噪声处理的主要方法，将平方加权质心法应用于激光在CCD中成像的细分定位，并与传统质心法、多项式插值法和高斯曲线拟合法进行了较为系统的比较。

The effects of external rare earth on growth and physiological of Chlorella ellipsoidea and Ceratophyllum demersum were studied. The results implicated that there were apparently negative linear interrelation between the concentrations of Sm, Y and the numbers of Chlorella ellipsoidea, which would best be described as polynomial interrelation at 2～40mg/L concentration range of Sm and 2～20 mg/L of Y. The LC〓 of Sm and Y was respectively 41. 36mg/L and 2. 57mg/L by statistics, which also indicated the toxicity of Y was greater than that of Sm.

外源稀土对小球藻及金鱼藻生长生理影响研究结果表明：(1)中稀土元素Sm和重稀土元素Y处理浓度与小球藻生长量之间存在明显的负线性相关关系；在稀土一定处理浓度范围（Sm为2～40mg/L，Y为2～20mg/L）内，小球藻生长量随培养时间的动态变化符合多项式相关关系；统计计算得Sm和Y对小球藻的半致死浓度LC〓分别为41.36mg/L和22.57mg/L，表明Y对小球藻的毒性大于Sm。

They are decidable in polynomial time.

5另外，我们还发现，对任何前向链正规的逻辑程序P，总存在一个最小的P上的一致性性质使得P是关于它前向链正规。

Assuming that the restoring force is the exponential function of the displacement and that the non-linearity is weak, a direct expression is adopted instead of Bouc-Wen differential model. Furthermore, a power series expression by the polynomial of the displacement is educed using Thaler's expandedness.

文中提出采用直接表示形式代替Bouc-Wen的微分模型，在弱非线性情况下，假定滞回恢复力可以表示为相对变形位移的指数形式，并进一步用泰勒展开的方法表示为简单的多项式形式。

As she looked at Warrington's manly face, and dark, melancholy eyes, she had settled in her mind that he must have been the victim of an unhappy attachment.

每逢看到沃林顿那刚毅的脸，那乌黑、忧郁的眼睛，她便会相信，他一定作过不幸的爱情的受害者。

Maybe they'll disappear into a pothole.

也许他们将在壶穴里消失