三倍数

This dissertation presents three segmentation algorithms for compressing image documents, with a high compression ratio of both color and monochromatic compound document images. The proposed algorithms greatly outperform the famous image compression methods, JPEG and DjVu, and enable the effective extraction of the text from a complex background, achieving a high compression ratio for compound document images.

本文中提出的切割方法应用於文件影像压缩，可以明显的看出压缩倍数与视觉品质优於JPEG或DjVu，而且在本文第三个切割方法中，提出新的区域性区块特徵分离与拼图式全图整合的方法，在解决复杂型复合式文件影像的文字切割问题时，即使在同一张完整的文件影像中，包含各种不同程度的复杂状况，也可以顺利的将不同颜色、不同复杂背景与不同交叠程度的文字切割出来，提高各种复杂型复合式文件影像的压缩品质。

The merit of the invention are: 1 adopting free curved surface imaging method , three part reflection type Zernike polynomial free curved surface forms short focal distance bigger, relative apertures bigger fields of view angle imaging , rectifying optical aberration much better and its structure is simple; 2 adopting the reflection structure without optical lens, has removed the effect of various chromatic aberration , guarantee the imaging articulation; 3 adopt the design of short focal distance big fields of view angle, focal distance 8 - 15 mm, field of view angles 100 -135 degree, having 120 times multiplications under 250 mm imaging distance, having ultra-thin characteristic property; 4 adopting big relative apertures design ,the relative aperture is 2.0-2.4, having improved the illuminance of flat surface; 5 adopting image space telecentric imaging method , ensures that the image surface irradiance is homogeneous.

本发明的优点是：1采用自由曲面成像方法，三片反射式Zernike多项式自由曲面形成短焦距大相对孔径大视场角成像，更好地校正像差，结构简单；2采用无透镜形式的反射式结构，消除了各种色差影响，保证成像清晰度；3采用短焦距大视场角设计，焦距8～15mm，具有100～135度的视场角，在250mm成像距离下有120倍的放大倍数，具有超薄特性；4采用大相对孔径设计，相对孔径为2.0～2.4，提高像平面上的光照度；5采用像方远心成像方法，保证像面辐照度均匀。

Thus a dotted half note or minim is the equivalent of three quarter notes or crotchets, and these may be subdivided to give six 8th notes or quavers.

附点音符就是一个音符加一个符点来延长半音，其可分为三部分或三的倍数部分。

Each of the three numbers are either 9 or multiples of 9, And the total of the three numbers is 9+18+72=99, which is a heavenly number only the Forbidden City is worthy of.

每一个数都是"九"或是九的倍数，而三个数9+18+72=99，加起来正好等于99，这个天数只有紫禁城值得拥有。

Firstly, the connection matrices are strongly connected Boolean matrix, it is shown that the maximum length of limit cycles for FBAM is the period index of the product of the connection matrices. Thus, the maximum limit cycle is reachable. Secondly, two strongly connected components are connected by walks, it is proved that the maximum length of limit cycles for FBAM is the max. of the period index of the two strongly connected components if they are prime, otherwise, it is the least common multiple of the two period index. Finally, n strongly connected component are connected in succession, the method for computing the maximum length is described. By different patterns are presented to the networks, diminishing the number of the strongly connected components until only two components.

第一，连接权矩阵为强连通布尔矩阵，此时模糊双向联想记忆网络的最大极限环长度为连接权矩阵乘积的周期指数，从而极限环具有可达性；第二，两个强连通分支有路径连接，此时如果两个强连通分支的周期指数互素，那么网络的最大极限环长度为其最大者，否则，网络的最大极限环长度就等于二者的最小公倍数；第三，n个相邻强连通分支有路径连接，给出了计算最大极限环长度的方法，通过激发模式的变化，逐渐减少强连通分支的个数，直到只有两个分支。

If you skip multiples of 3, you only need to check a third of all numbers.

如果跳过3的倍数，你只需要检查所有数字的三分之一。

The results show: all processors have better load balance; when the ratio of the execution time of a point addition to that of a point doubling is 3 during computing the scalar multiplication, the parallel efficiency of the proposed algorithm is up to 90%.

结果表明：各并行处理器单元具有较好的负载均衡特性；当执行并行基点判断算法，其标量乘的点加计算时间是点倍数计算时间的三倍时，算法的并行效率可达90%。

Under the assumption of a sech〓 input pulse, TOD is significant only for pulse widths less than 10 femtoseconds resulting in pulse broadening as well as distinct amplitude oscillations on the leading edge. TOD is positively correlated with its length. The calculations presented here allow for the determination of the maximum thickness of crystal that may be used in the autocorrelation system.

结果表明当脉宽接近或小于10fs时，脉冲才有明显的展宽效应，脉冲的展宽倍数与晶体的长度成递增关系，计算同时给出能基本消除三阶色散的展宽效应的倍频晶体的最大厚度，为进一步实验研究提供了依据。

In ordinary field 3-D layout, receiving-line spacing is n-times the seismic source gap, and source-line spacing is n-times the receiver interval; as a result, at each intersecting point of source line and receiving line, source position superposes receiver position.

在常规三维观测系统中，接收线间距是震源间距的倍数，震源线间距是接收器间距的倍数，这使得在震源线和接收线的每个交点处震源和接收器是重合的。

They asked participants to memorise a three-letter sequence, then count backwards in sets of threes.

他们令参与者记住三个字母的排列，然后以三的倍数倒着数数。

The absorption and distribution of chromium were studied in ryeusing nutrient culture technique and pot experiment.

采用不同浓度K2CrO4(0，0.4，0.8和1.2 mmol/L)的Hoagland营养液处理黑麦幼苗，测定铬在黑麦体内的亚细胞分布、铬化学形态及不同部位的积累。

By analyzing theory foundation of mathematical morphology in the digital image processing, researching morphology arithmetic of the binary Image, discussing two basic forms for the least structure element: dilation and erosion.

通过分析数学形态学在图像中的理论基础，研究二值图像的形态分析算法，探讨最小结构元素的两种基本形态：膨胀和腐蚀；分析了数学形态学复杂算法的基本原理，把数学形态学的部分并行处理理念引入到家实际应用中。