947 resultados para Nonnegative sine polynomial
Resumo:
A linear photodiode array spectrometer based, high resolution interrogation technique for fiber Bragg grating sensors is demonstrated. Spline interpolation and Polynomial Approximation Algorithm (PAA) are applied to the data points acquired by the spectrometer to improve the original PAA based interrogation method. Thereby fewer pixels are required to achieve the same resolution as original. Theoretical analysis indicates that if the FWHM of a FBG covers more than 3 pixels, the resolution of central wavelength shift will arrive at less than 1 pm. While the number of pixels increases to 6, the nominal resolution will decrease to 0.001 pm. Experimental result shows that Bragg wavelength resolution of similar to 1 pm is obtained for a FBG with FWHM of similar to 0.2 nm using a spectrometer with a pixel resolution of similar to 70 pm.
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In this paper, we propose a new scheme for omnidirectional object-recognition in free space. The proposed scheme divides above problem into several onmidirectional object-recognition with different depression angles. An onmidirectional object-recognition system with oblique observation directions based on a new recognition theory-Biomimetic Pattern Recognition (BPR) is discussed in detail. Based on it, we can get the size of training samples in the onmidirectional object-recognition system in free space. Omnidirection ally cognitive tests were done on various kinds of animal models of rather similar shapes. For the total 8400 tests, the correct recognition rate is 99.89%. The rejection rate is 0.11% and on the condition of zero error rates. Experimental results are presented to show that the proposed approach outperforms three types of SVMs with either a three degree polynomial kernel or a radial basis function kernel.
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This paper presents a direct digital frequency synthesizer (DDFS) with a 16-bit accumulator, a 4th-order single-stage pipelined delta-sigma interpolator and a 300MS/s 12-bit current-steering DAC based on Q(2) Random Walk switching scheme. The delta-sigma interpolator is used to reduce the phase truncation error and the ROM size. The measured spurious-free dynamic range (SFDR) is greater than 80 dB for 8-bit phase value and 12-bit sine-amplitude output. The DDFS prototype is fabricated in a 0.35um CMOS technology with core area of 1.11mm(2).
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Interpolation attack was presented by Jakobsen and Knudsen at FSE'97. Interpolation attack is effective against ciphers that have a certain algebraic structure like the PURE cipher which is a prototype cipher, but it is difficult to apply the attack to real-world ciphers. This difficulty is due to the difficulty of deriving a low degree polynomial relation between ciphertexts and plaintexts. In other words, it is difficult to evaluate the security against interpolation attack. This paper generalizes the interpolation attack. The generalization makes easier to evaluate the security against interpolation attack. We call the generalized interpolation attack linear sum attack. We present an algorithm that evaluates the security of byte-oriented ciphers against linear sum attack. Moreover, we show the relationship between linear sum attack and higher order differential attack. In addition, we show the security of CRYPTON, E2, and RIJNDAEL against linear sum attack using the algorithm.
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This paper study generalized Serre problem proposed by Lin and Bose in multidimensional system theory context [Multidimens. Systems and Signal Process. 10 (1999) 379; Linear Algebra Appl. 338 (2001) 125]. This problem is stated as follows. Let F ∈ Al×m be a full row rank matrix, and d be the greatest common divisor of all the l × l minors of F. Assume that the reduced minors of F generate the unit ideal, where A = K[x 1,...,xn] is the polynomial ring in n variables x 1,...,xn over any coefficient field K. Then there exist matrices G ∈ Al×l and F1 ∈ A l×m such that F = GF1 with det G = d and F 1 is a ZLP matrix. We provide an elementary proof to this problem, and treat non-full rank case.
Resumo:
As a kind of waste collected from restaurants, trap grease is a chemically challenging feedstock for biodiesel production for its high free fatty acid (FFA) content. A central composite design was used to evaluate the effect of methanol quantity, acid concentration and reaction time on the synthesis of biodiesel from the trap grease with 50% free fatty acid, while the reaction temperature was selected at 95 degrees C. Using response surface methodology, a quadratic polynomial equation was obtained for ester content by multiple regression analysis. Verification experiments confirmed the validity of the predicted model. To achieve the highest ester content of crude biodiesel (89.67%), the critical values of the three variables were 35.00 (methanol-to-oil molar ratio), 11.27 wt% (catalyst concentration based on trap grease) and 4.59 h (reaction time). The crude biodiesel could be purified by a second distillation to meet the requirement of biodiesel specification of Korea.
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Fifth-order corrected expressions for the fields of a radially polarized Laguerre-Gauss (R-TEMn1) laser beams are derived based on perturbative Lax series expansion. When the order of Laguerre polynomial is equal to zero, the corresponding beam reduces to the lowest-order radially polarized beam (R-TEM01). Simulation results show that the accuracy of the fifth-order correction for R-TEMn1 depends not only on the diffraction angle of the beam as R-TEM01 does, but also on the order of the beam. (c) 2007 Optical Society of America.
Resumo:
When a grating is recorded in a bacteriorhodopsin film by two linear parallel polarized beams together with anauxiliary violet light, the diffraction efficiency has a dependence on the polarization orientation of the violet light as well as its intensity. A method for calculating the diffraction efficiency of gratings in bacteriorhodopsin is proposed based on the two-state photochromic model, considering the saturation effect and the polarization status of all the involved lights. It is found that the polarization orientation of the violet light produces an approximate-cosine and an approximate-sine modulation on the steady-state diffraction efficiency separately at low and high intensities, respectively. The parallel polarized violet light can improve the steady-state diffraction efficiency to a larger degree than the perpendicularly polarized violet light when both are at their optimal intensities. The optimal intensity for the parallel polarized violet light is lower than that of the perpendicular polarized one. Thus, the improvement of the steady-state diffraction efficiency is less sensitive to the intensity of perpendicular polarized violet light than to that of parallel polarized violet light. (C) 2008 Optical Society of America.
Resumo:
追溯生物界不同生物类型的起源及进化关系,即重建生物类群的系统发育树是进化生物学领域中一个十分重要的内容,并日益受到广泛的关注。美国和一些欧洲国家已率先启动了类似人类基因组计划的"生命之树,,计划(TreeofLife,TOL),将对生物学研究的发展产生深远影响。本研究瞄准了"生命之树"这一国际关注的焦点问题,选择具有重要进化理论意义和保护生物学价值的食肉目进行研究,除采用流行的多个线粒体基因外,还筛选多个有效的核基因标记,通过多基因序列数据的整合分析,构建可靠的食肉目分子系统树。此外,我们在食肉目部分物种的一个内含子区域发现了SINE家族的插入,考虑到这个内含子区域可能是SINE家族序列的一个插入热点,我们还增加了一些胎盘类哺乳动物目对这个内含子区域发生的多次SINE家族插入进行了详尽的进化研究。世界现生食肉目动物共计有11科280种,一般将它们归为两大超科,犬型超科(熊科,犬科,洗熊科,锄科,海狮科,海象科和海豹科)和猫型超科(灵猫科、猫科、鼠狗科和獴科)。犬型超科由于包含的物种种类繁多而且形态差异极"大,因此物种之间的系统发育关系方面争论颇多,难以解决。我们选用四个核基因序列片段和一个线粒体蛋白编码基因(共4417个碱基)对16个大型超科食肉目代表物种进行研究,探讨这一超科中科间的系统发育关系以及两个熊猫(大,小熊猫)的位置。结果表明不同基因在各分枝上表现出不同的解决能力,核基因和线粒体基因不含有冲突的,而是含有互补的系统发育信号,因而当把它们合并在一起进行系统发育分析时得到了一个大部分分枝都有很高支持程度的系统树拓扑结构。系统发育重建支持犬科是犬型超科中最早分歧的谱系,洗熊科和勃科的关系最近。小熊猫是洗熊科和触科的姐妹群,大熊猫是熊科中最早分歧的成员。鳍脚类(海狮科,海象科和海豹科)和熊科依次是由洗熊科,融科和小熊猫组成的进化枝最近的姐妹群。其中,鳍脚类和熊科的系统发育学位置在合并所有基因片段进行的ML和贝叶斯分析方法中都有较高的支持率和后验概率,但是在孵分析中的支持率却很低。因此,鳍脚类,熊科和由洗熊科,融科,小熊猫组成的进化枝三者之间的系统发育关系的解决将是以后食肉目犬型超科科水平系统发育学研究的趋势和重点。食肉目中不仅各科之间的进化关系扑朔迷离,科内的系统发育关系也很不清楚,尤其是熊科和猫科。因为这两个科都是在非常近期才发生物种分化的类群,代表了快速的进化辐射和间隔时间非常短的物种形成事件,因而重建科内各物种之间的系统发育关系对于系统学家来说是一项艰巨,极富挑战性的任务,也是造成熊科和猫科物种系统发育关系一直无法得到完全解决的重要原因。我们首次从两个核基因的角度,并与以前发表的五个线粒体基因数据进行单独和合并分析来探讨所有熊科物种(8个)的系统发育关系(约4kb)。结果不仅证实了目前普遍接受的观点,包括眼镜熊是除大熊猫以外最早分歧的熊科物种,以及棕熊和北极熊的姐妹群关系,而且进一步支持了亚洲黑熊和美洲黑熊之间的紧密关系,但是就在大多数以前的线粒体基因研究暗示懒熊极有可能是Ursus属中分歧最早的熊科物种时,我们的核基因分析提出新的假说,强烈支持懒熊和马来熊之间的姐妹群关系,使得懒熊和马来熊的系统发育位置又要成为将来熊科系统发育学研究中讨论的热点。另外,我们也探讨了核基因和线粒体基因表现出不一致系统发育信号的可能原因。猫科物种一般分成三大谱系:家猫谱系,豹谱系和虎猫谱系。其中由Panthera属和一些中等体型大小的猫类组成的豹谱系分化时间最近而且包含的物种最多,因此围绕它的系统发育学未解决的问题也最多。我们首次使用三个核基因对猫科中豹谱系部分物种系统发育关系进行探讨,同时还测定了两个完整线粒体编码基因,并结合以前发表的其它四个线粒体基因片段进行单独和结合分析,了解猫科豹谱系物种的进化历史。另外,我们还比较了这9个基因序列片段在进化特征和猫科系统发育关系应用价值方面的异同点。通过对14个猫科部分物种,主要为豹谱系物种的多个线粒体和核基因序列片段的综合分析,得到了一些非常有价值的重要结论,包括Panthera属的单源性以及Panthera属内部物种之间新的系统发育关系,云豹与Panthera属关系最近,美洲狮和猎豹是姐妹群,兔孙仍然属于家猫谱系等等。本研究中的核基因DNA在追溯如此近期才分化的猫科类群过程中积累的序列差异较少,因而贡献非常有限,它们可能会更适合用来解决食肉目中更高水平的物种之间系统发育关系。此外,当我们使用FGB基因第七内含子进行食肉目犬型超科各科和猫科部分物种的系统发育关系研究时,发现犬科代表物种和两个猫科物种中的不同位置上都发现了SINE片段的插入。我们又增加了除食肉目以外的部分哺乳动物目代表物种(共30个分类群)来进一步分析FGB基因第七内含子发生的多次SINEs家族插入事件。我们的结果表明:在所有哺乳动物内含子中的直源位置都发现了起源于tRNA的M琅元件,除了啮齿目。研究发现啮齿目小鼠中较高的序列变异速率以及大鼠中随着寄主DNA的大段丢失而发生了罕有的遗失是造成啮齿目中MIR缺失的原因。此外,在我们分析的12个哺乳动物目中,食肉目,偶蹄目和兔形目的FGB基因第七内含子不同位置还发现了至少五次谱系特异性SINE家族的独立插入事件。在食肉目中,三个独立的CANSINEs插入支持了这个SINE家族在食肉目所有类群中都有分布的假说(即"pan-camivores"假说)。研究中最重要的发现就是那些谱系特异的sINE家族有插入到己存在的MIRs内部或MIRs附近的强烈倾向,表明MIR很有可能是其它SINEs连续插入的"热点"区域,因而使这个内含子区域有如此多的逆转座子插入。我们认为SINEs要比以前所意识到的具有更大的插入"灵活性"和区域"特异性"。另外,本论文还重点介绍了现代系统发育学中常用的系统发育重建方法和策.略以及随着基因组时代的到来,"系统发育基因组学(P坤logenomics))'这门崭新的交叉学科在"重建生命之树"方面所具有的巨大优势和潜力。