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从π的古算法看中国传统数学
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作者 曹东辉 《淮北煤师院学报(自然科学版)》 1995年第1期78-83,共6页
本文首先阐述了刘徽的割圆术。然后,在述评π的密率求法的基础上,认为祖冲之的求法实质上使用了连分数方法,并作了较为合乎情理的论证。最后,结合π的古算法,初步分析了中国传统数学内部固有的缺陷。
关键词 刘徽 割圆术 中国 数学 Π 古算法
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斐波那契比例算法与中国古算法的相似性分析
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作者 冯林 郜舒竹 《数学通报》 北大核心 2013年第3期58-60,63,共4页
斐波那契(Fibonacci,1170—1245),又称比萨的莱昂那多,意大利数学家.为了向欧洲人介绍印度和阿拉伯的数字系统及其计算方法,他于1202年出版了《计算之书》(LiberAbaci).这是一部百科全书式的数学著作,涉及算术、代数和问题... 斐波那契(Fibonacci,1170—1245),又称比萨的莱昂那多,意大利数学家.为了向欧洲人介绍印度和阿拉伯的数字系统及其计算方法,他于1202年出版了《计算之书》(LiberAbaci).这是一部百科全书式的数学著作,涉及算术、代数和问题解决等在13世纪广为人知的数学知识.该书问世后的300多年中,一直是数学教科书的样板,在意大利甚至那个时代的欧洲,任何一位想成为商人或者想掌握数学的人都要学习此书. 展开更多
关键词 斐波那契 相似性分析 古算法 中国 比例 数学家 数字系统 数学著作
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喜玛拉雅山脉降水分布的一种气候估算方法
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作者 林贤超 林振耀 《高原气象》 CSCD 北大核心 1991年第1期88-93,共6页
本文对Alpert提出的计算山地降水率方法加以改进成为估算山脉气候平均的年降水量的方法;并对沿87°E和95°E喜马拉雅山的经向降水分布进行了估算.结果表明:沿87E处估算的降水分布与实测值相当吻合,并存在两个最大降水量高度,一... 本文对Alpert提出的计算山地降水率方法加以改进成为估算山脉气候平均的年降水量的方法;并对沿87°E和95°E喜马拉雅山的经向降水分布进行了估算.结果表明:沿87E处估算的降水分布与实测值相当吻合,并存在两个最大降水量高度,一个位于1000—1500 m之间,年降水量为2800 mm;另一最大降水高度在3000—3500 m之间,年降水量为2000 mm。在沿95°E处的降水分布中有三个极大降水高度,分别为1000,2000和3500 m左右,其年降水量分别为4100,2700和2100 mm。 展开更多
关键词 降水 分布 气候古算法 喜玛拉雅山
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由于下沉引起的民用建筑价值降低的估算计方法 被引量:1
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作者 陈慧 黄靖 《山东矿业学院学报》 CAS 1997年第1期45-48,共4页
本文讨论了矿山开采的赔偿问题,根据民用建筑的结构形式及使用特点,提出了按照建筑物价值降低的幅度来确定赔偿标准的观点。文中给出了建筑物价值的评估方法,以及破坏等级与建筑物价值降低的关系。
关键词 地表下沉 民用建筑 价值 古算法 建筑物
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Collision Attacks against AEZ-PRF for Authenticated Encryption AEZ 被引量:2
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作者 Tairong Shi Chenhui Jin Jie Guan 《China Communications》 SCIE CSCD 2018年第2期46-53,共8页
AEZ is an AES-based authenticated encryption submitted to the ongoing CAESAR competition and was presented at Eurocrypt2015 with AEZ v3. There are three models for AEZ, AEZ-core, AEZ-tiny and AEZ-prf. In this paper, w... AEZ is an AES-based authenticated encryption submitted to the ongoing CAESAR competition and was presented at Eurocrypt2015 with AEZ v3. There are three models for AEZ, AEZ-core, AEZ-tiny and AEZ-prf. In this paper, we consider the security of AEZprf for AEZ v4.2, the latest version of AEZ.Our major finding is a collision of any 256-bit associated data for AES-prf. Then we launch collision attacks in a quantum setting and a classical setting respectively under different assumptions. In the quantum setting, by Simon's quantum algorithm, we amount a forgery with O(n) quantum superposition queries and an overwhelming probability close to 1.In the classical setting, one with the key of AEZ-prf can also construct the forgeries. Our results show that the AEZ-prf models of AEZ v4.2 is not secure in both the quantum setting and classical world. Furthermore, our results can also be applied to AEZ v3, which has been published on Eurocrypt 2015. As far as we know, no cryptanalysis of AEZ v4.2 has been published so far. 展开更多
关键词 CAESAR competition authen-ticated encryption AEZ collision attacks quantum attacks
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Retrieval and Analysis of Coal Fire Temperature in Wuda Coalfield, Inner Mongolia, China 被引量:7
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作者 JIANG Weiguo ZHU Xiaohua +3 位作者 WU Jianjun GU Lei MA Guobin LIU Xiaochen 《Chinese Geographical Science》 SCIE CSCD 2011年第2期159-166,共8页
Coal fire burning around the world is an environmental catastrophe characterized by the emission of noxious gases, particulate matter, and condensation by-products. In this study, coal fire temperature is retrieved ba... Coal fire burning around the world is an environmental catastrophe characterized by the emission of noxious gases, particulate matter, and condensation by-products. In this study, coal fire temperature is retrieved based on Landsat 5 TM images and Generalized Single-Channel Algorithm (GSCA), in Wuda coalfield, Inner Mongolia, China. Then coal fire zones are extracted by Jenks′ natural breaks and threshold methods based on temperature images. Changes of coal fire zones are analyzed from 1989 to 2008. The results are summarized as follows: 1) The coal fire temperature retrieval method based on Landsat 5 TM and the GSCA model is effective and feasible, because the temperature error is relatively small (from –2.9℃ to +2.6℃) between the measured temperature and the retrieved temperature. 2) The accuracy is relatively high to extract coal fire zones through the Jenks′ natural breaks and threshold methods, because 83.56% of surveyed area is located in the coal fire zones extracted in 2005. 3) The coal fire area increased 9.81 × 10 5 m 2 from 1989 to 2005, and the annual growth is about 6.1 × 10 4 m 2 , with an annual increasing rate of 2.48%. The area of coal fire decreased by 8.1 × 10 5 m 2 from 2005 to 2008. 展开更多
关键词 coal fire temperature retrieving Generalized Single-Channel Algorithm Landsat 5 TM Wuda coalfield Inner Mongolia
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A novel 3-layer mixed cultural evolutionary optimization framework for optimal operation of syngas production in a Texaco coal-water slurry gasifier
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作者 曹萃文 张亚坤 +3 位作者 于腾 顾幸生 辛忠 李杰 《Chinese Journal of Chemical Engineering》 SCIE EI CAS CSCD 2015年第9期1484-1501,共18页
Optimizing operational parameters for syngas production of Texaco coal-water slurry gasifier studied in this paper is a complicated nonlinear constrained problem concerning 3 BP(Error Back Propagation) neural networks... Optimizing operational parameters for syngas production of Texaco coal-water slurry gasifier studied in this paper is a complicated nonlinear constrained problem concerning 3 BP(Error Back Propagation) neural networks. To solve this model, a new 3-layer cultural evolving algorithm framework which has a population space, a medium space and a belief space is firstly conceived. Standard differential evolution algorithm(DE), genetic algorithm(GA), and particle swarm optimization algorithm(PSO) are embedded in this framework to build 3-layer mixed cultural DE/GA/PSO(3LM-CDE, 3LM-CGA, and 3LM-CPSO) algorithms. The accuracy and efficiency of the proposed hybrid algorithms are firstly tested in 20 benchmark nonlinear constrained functions. Then, the operational optimization model for syngas production in a Texaco coal-water slurry gasifier of a real-world chemical plant is solved effectively. The simulation results are encouraging that the 3-layer cultural algorithm evolving framework suggests ways in which the performance of DE, GA, PSO and other population-based evolutionary algorithms(EAs) can be improved,and the optimal operational parameters based on 3LM-CDE algorithm of the syngas production in the Texaco coalwater slurry gasifier shows outstanding computing results than actual industry use and other algorithms. 展开更多
关键词 3-Layer mixed cultural evolutionary framework Optimal operation Syngas production Coal-water slurry gasifier
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机器、思维与信息的哲学考察与莱布尼茨的二进制级数和现代计算机科学的关系 被引量:2
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作者 刘钢 《心智与计算》 2007年第1期78-87,共10页
本文的目的在于给出一个简单的论证,机器本身没有智能,但人有智能,所以机器有助于人类的思维,但是我们应该对"什么是信息"这个问题持非常谨慎的态度,因此不仅需要在科学上而且也需要在哲学上需要进一步进行论证,这就是哲学家... 本文的目的在于给出一个简单的论证,机器本身没有智能,但人有智能,所以机器有助于人类的思维,但是我们应该对"什么是信息"这个问题持非常谨慎的态度,因此不仅需要在科学上而且也需要在哲学上需要进一步进行论证,这就是哲学家不可或缺以及国际哲学界何以在新世纪伊始将信息哲学称为第一哲学的理据。与此同时,我们还介绍了莱布尼茨为什么被控制论事后追认先驱的典型并从真理再发现的角度将中国《易经》中的那段"筮法"按照数理逻辑的能行可计算理论而不是按先前数论中的同余式进行了重新解释。最后,从科学史的方面将莱布尼茨的二进算数或二进制级数作了一些比较详细的考察,认为它与现代的计算机科学根本没有任何关联。 展开更多
关键词 机器与思维论证 中国易经中的古算法 递归论对同余式 莱布尼茨的二进制算数 现代计算机科学
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Demonstration of essentiality of entanglement in a Deutsch-like quantum algorithm 被引量:1
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作者 He-Liang Huang Ashutosh K. Goswami +1 位作者 Wan-Su Bao Prasanta K. Panigrahi 《Science China(Physics,Mechanics & Astronomy)》 SCIE EI CAS CSCD 2018年第6期1-7,共7页
Quantum algorithms can be used to efficiently solve certain classically intractable problems by exploiting quantum parallelism.However, the effectiveness of quantum entanglement in quantum computing remains a question... Quantum algorithms can be used to efficiently solve certain classically intractable problems by exploiting quantum parallelism.However, the effectiveness of quantum entanglement in quantum computing remains a question of debate. This study presents a new quantum algorithm that shows entanglement could provide advantages over both classical algorithms and quantum algorithms without entanglement. Experiments are implemented to demonstrate the proposed algorithm using superconducting qubits.Results show the viability of the algorithm and suggest that entanglement is essential in obtaining quantum speedup for certain problems in quantum computing. The study provides reliable and clear guidance for developing useful quantum algorithms. 展开更多
关键词 quantum computing quantum entanglement quantum algorithm Deutsch's problem
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