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素数与复合数的关系、正整数是素数的条件 被引量:2
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作者 侯绍胜 王顺庆 《西北民族学院学报(自然科学版)》 2002年第4期1-7,共7页
在"奇合数的分解公式、素数及筛法"[1]中给出的奇合数10个分解公式的基础上,进一步研究复合数之间、素数与复合数之间存在的数量关系,并且证明了个位数为1,3,7,9的正整数是素数的充要条件.
关键词 正整 复合数 分解公式 量关系 充要条件
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幂向量、复合向量数及其函数理论 被引量:4
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作者 杨文熊 《应用数学和力学》 CSCD 北大核心 1996年第2期133-138,共6页
本文提出向量为其幂向量和向量幂级数.向量幂级数由一实数和某一向量联合组成的“复合向量数”及其函数有重要涵义.这数也有运算法则.从复合向量数的函数理论分析知其函数有导数和解析函数的必要和充分条件.这些条件构成了“双曲型... 本文提出向量为其幂向量和向量幂级数.向量幂级数由一实数和某一向量联合组成的“复合向量数”及其函数有重要涵义.这数也有运算法则.从复合向量数的函数理论分析知其函数有导数和解析函数的必要和充分条件.这些条件构成了“双曲型”方程的特征以及函数的积分性质等. 展开更多
关键词 复合向量 幂向量 双曲型方程 解析函 力学
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费马数是复合数的一个充要条件 被引量:1
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作者 梅义元 《数学通讯(教师阅读)》 北大核心 1995年第9期24-25,共2页
费马数是复合数的一个充要条件梅义元(武汉市张家湾中学430065)众所周知,形如的数叫做费马敖.当Fn是素数时,高斯曾证明了正Fn边形可以仅用圆规与直尺来作图.因此研究费马数是非常有意义的.我们已经知道,若Fn有质因... 费马数是复合数的一个充要条件梅义元(武汉市张家湾中学430065)众所周知,形如的数叫做费马敖.当Fn是素数时,高斯曾证明了正Fn边形可以仅用圆规与直尺来作图.因此研究费马数是非常有意义的.我们已经知道,若Fn有质因子P,则P的形状为P=2n+1k+... 展开更多
关键词 费马 复合数 充要条件 丢番图方程
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复合源模糊数及其运算 被引量:1
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作者 王柏生 《模糊系统与数学》 CSCD 北大核心 2007年第3期24-28,共5页
指出在多模糊源情况下采用多元扩张原理进行模糊数运算中存在的问题,定义复合源模糊数的一些基本概念,并建立在复合源直接模糊数与单源直接模糊数间的乘除运算方法,给出复合源模糊数线性方程组的求解方法。
关键词 模糊源 模糊 单源模糊 复合源模糊 运算
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2010年第26届国际数学家大会一小时报告摘要(II)--大会报告 高度复合数
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作者 R.Balasubramanian 龚克(译) 王世坤(校) 《数学译林》 2011年第1期1-1,共1页
Ramanujan(拉马努金)的传奇在一定程度上吸引了其后几代印度数学家从事解析数论的研究,本文主要阐述自拉马努金以来印度的数学家对高度复合数的诸多贡献.
关键词 国际学家大会 复合数 RAMANUJAN 摘要 小时 解析 印度 拉马
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“动+名+数+复合量词”格式的句法分析
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作者 傅满义 《长春理工大学学报(社会科学版)》 2014年第2期109-110,共2页
由"名-动量"式复合量词参与构成的"名+数量"结构在"动+名+数+复合题词"格式中能不能作后置定语,至今未有定论。在此持肯定的观点并就此加以分析论证。
关键词 “动+名++复合量词”格式 后置定语 句法分析
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关于Nicol数的两个问题
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作者 苏娟丽 《内蒙古师范大学学报(自然科学汉文版)》 CAS 北大核心 2013年第6期646-648,共3页
对于正整数n,设φ(n)和σ(n)分别是n的Euler数和约数之和,当n︱φ(n)+σ(n)时,n称为Nicol数.运用初等方法讨论了Nicol数的存在性,设a=p1α1p2α2…prαr,其中r是大于1的正整数,pi(i=1,2,…,r)是不同的奇素数,αi(i=1,2,…,r)是正奇数,... 对于正整数n,设φ(n)和σ(n)分别是n的Euler数和约数之和,当n︱φ(n)+σ(n)时,n称为Nicol数.运用初等方法讨论了Nicol数的存在性,设a=p1α1p2α2…prαr,其中r是大于1的正整数,pi(i=1,2,…,r)是不同的奇素数,αi(i=1,2,…,r)是正奇数,证明了如果n=a或2a,则n不是Nicol数. 展开更多
关键词 Nicol 复合数 存在性
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根素数及素数分布的准随机性和准均匀性 被引量:1
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作者 单腾凤 《胜利油田职工大学学报》 2001年第4期37-40,共4页
素数分布的两大特点是基本均匀性和准随机性,据此在非严格证明的基础上提出一个判定正整数数列是否包含无穷多个素数的判定法则,根据这个法则,Mersenne素数无穷多个而Fermat素数有限多。
关键词 根素 复合数 定理 准随机性 准均匀性
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Censored Composite Conditional Quantile Screening for High-Dimensional Survival Data
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作者 LIU Wei LI Yingqiu 《应用概率统计》 CSCD 北大核心 2024年第5期783-799,共17页
In this paper,we introduce the censored composite conditional quantile coefficient(cC-CQC)to rank the relative importance of each predictor in high-dimensional censored regression.The cCCQC takes advantage of all usef... In this paper,we introduce the censored composite conditional quantile coefficient(cC-CQC)to rank the relative importance of each predictor in high-dimensional censored regression.The cCCQC takes advantage of all useful information across quantiles and can detect nonlinear effects including interactions and heterogeneity,effectively.Furthermore,the proposed screening method based on cCCQC is robust to the existence of outliers and enjoys the sure screening property.Simulation results demonstrate that the proposed method performs competitively on survival datasets of high-dimensional predictors,particularly when the variables are highly correlated. 展开更多
关键词 high-dimensional survival data censored composite conditional quantile coefficient sure screening property rank consistency property
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螺旋轴流式多相泵长短复合静叶优化设计
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作者 马希金 崔生磊 +1 位作者 张亚琼 张潮 《西华大学学报(自然科学版)》 CAS 2018年第5期68-72,共5页
以螺旋轴流式油气混输泵YQH-100为研究对象,在此基础上对增压单元叶片轴向长度进行优化设计,利用专业流场模拟软件Fluent 18. 0进行流场数值模拟;以水和空气作为介质,通过对YQH-100复合静叶选取不同的长短叶片数,在不同流量和含气率的... 以螺旋轴流式油气混输泵YQH-100为研究对象,在此基础上对增压单元叶片轴向长度进行优化设计,利用专业流场模拟软件Fluent 18. 0进行流场数值模拟;以水和空气作为介质,通过对YQH-100复合静叶选取不同的长短叶片数,在不同流量和含气率的工况下进行数值模拟,得到混输泵增压单元压力场分布和含气率分布,并计算出不同工况下整机的增压曲线,扬程曲线以及效率曲线。通过对比得出在不同流量和不同含气率工况下,复合静叶的叶片数为8-8时,混输泵的效率和增压效果明显高于其他两种情况。其他两种情况,增压单元气液分离较严重的地方位于静叶压力面弦长约2/3的处;在静叶尾部叶顶处均存在局部压力过大和较大的漩涡。由此表明复合静叶叶片数为8-8时能提高整机性能。 展开更多
关键词 螺旋轴流式油气混输泵 叶片轴向长度 复合静叶叶片 值模拟
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利用微型计算机求素数
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作者 宋淮林 《微电子学与计算机》 CSCD 北大核心 1991年第3期33-34,共2页
自然数的集合可以分为两类:一类是它的约数只有1和它本身而没有其它约数,例如,2、3、5、7…,这类数叫做素数(或质数);另一类是其约数除了1和它本身之外,还有其它约数,例如,4、6、8、9、…,这类数叫合数(或复合数).1是一个特殊的自然数,... 自然数的集合可以分为两类:一类是它的约数只有1和它本身而没有其它约数,例如,2、3、5、7…,这类数叫做素数(或质数);另一类是其约数除了1和它本身之外,还有其它约数,例如,4、6、8、9、…,这类数叫合数(或复合数).1是一个特殊的自然数,它只有1个约数即本身.在我们的程序中,将它归放在素数这一类. 展开更多
关键词 集合 复合数 自然 微型计算机
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应用型数信复合人才“四融合”育人体系构建 被引量:3
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作者 陶祥兴 陶永建 章迪平 《高等工程教育研究》 北大核心 2023年第5期99-104,共6页
随着学科发展和用人需求变化,地方高校数学类专业人才培养亟须改革。浙江科技学院信息与计算科学专业以系统理论和生态理论为指引,着力建立理与工、产与学、科与教、中与外四融合机制,系统变革专业育人体系,取得了较好的改革成果和育人... 随着学科发展和用人需求变化,地方高校数学类专业人才培养亟须改革。浙江科技学院信息与计算科学专业以系统理论和生态理论为指引,着力建立理与工、产与学、科与教、中与外四融合机制,系统变革专业育人体系,取得了较好的改革成果和育人成效,对数学类专业人才培养改革具有较高借鉴意义和参考价值。 展开更多
关键词 复合人才 四融合 育人体系
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Microstructure, mechanical properties and wear behaviour of Zn-Al-Cu-TiB_2 in situ composites 被引量:5
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作者 陈飞 王同敏 +3 位作者 陈宗宁 毛丰 韩强 曹志强 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2015年第1期103-111,共9页
Zn-Al-Cu-TiB2(ZA27-TiB2) in situ composites were fabricated via reactions between molten aluminum and mixed halide salts(K2TiF6 and KBF4) at temperature of 875 °C. The microstructure, mechanical properties an... Zn-Al-Cu-TiB2(ZA27-TiB2) in situ composites were fabricated via reactions between molten aluminum and mixed halide salts(K2TiF6 and KBF4) at temperature of 875 °C. The microstructure, mechanical properties and wear behavior of the composites were investigated. Microstructure analysis shows that fine and clean TiB2 particles distribute uniformly through the matrix. The mechanical properties of the composites increase with the increase in TiB2 content. As TiB2 content increases to 5%(mass fraction), an improvement of HB 18 in hardness and 49 MPa in ultimate tensile strength(UTS) is achieved. The overall results reveal that the composites possess low friction coefficients and the wear rate is reduced from 5.9×10-3 to 1.3×10-3 mm3/m after incorporating 5% TiB2. Friction coefficient and worn surface analysis indicate that there is a change in the wear mechanism in the initial stage of wear test after introducing in situ TiB2 particles into the matrix. 展开更多
关键词 in situ composites TiB2 particles friction coefficient wear rate mechanical properties
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Hot extrusion of SiC_p/AZ91 Mg matrix composites 被引量:5
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作者 王晓军 胡小石 +2 位作者 聂凯波 吴昆 郑明毅 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2012年第8期1912-1917,共6页
SiC particles reinforced AZ91 Mg matrix composites (SiCp/AZ91) with SiC volume fractions of 5%, 10% and 15% were fabricated by stir casting. After T4 treatment, these composites were extruded at 350 °C with an ... SiC particles reinforced AZ91 Mg matrix composites (SiCp/AZ91) with SiC volume fractions of 5%, 10% and 15% were fabricated by stir casting. After T4 treatment, these composites were extruded at 350 °C with an extrusion ratio of 12:1. In the as-cast composite, particles segregated at a microscopic scale within the intergranular regions. Hot extrusion almost eliminated this particle aggregation and improved the particle distribution of the composites. In addition, extrusion refined the grains of matrix. The results show that hot extrusion significantly improves the mechanical properties of the composites. In the as-extruded composite, with the increase of SiCp contents, the grain size of the extruded composites decreases, the strength and elastic modulus increase but the elongation decreases. 展开更多
关键词 EXTRUSION Mg matrix composites SICP AZ91 magnesium alloy volume fraction
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Microstructure and thermophysical properties of SiC/Al composites mixed with diamond 被引量:6
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作者 郭宏 韩媛媛 +2 位作者 张习敏 贾成厂 徐骏 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2015年第1期170-174,共5页
The thermophysical properties of the SiC /Al composites mixed with diamond(SiC-Dia/Al) were studied through theoretical calculation and experiments. The thermal conductivity and the thermal expansion coefficient of ... The thermophysical properties of the SiC /Al composites mixed with diamond(SiC-Dia/Al) were studied through theoretical calculation and experiments. The thermal conductivity and the thermal expansion coefficient of the SiC-Dia/Al were calculated by differential effective medium(DEM) theoretical model and extended Turner model, respectively. The microstructure of the SiC-Dia/Al shows that the combination between SiC particles and Al is close, while that between diamond particles and Al is not close. The experimental results of the thermophysical properties of the SiC-Dia/Al are consistent with the calculated ones. The calculation results show that when the volume ratio of the diamond particles to the SiC particles is 3:7, the thermal conductivity and the thermal expansion coefficient can be improved by 39% and 30% compared to SiC/Al composites, respectively. In other words, by adding a small amount of diamond particles, the thermophysical properties of the composites can be improved effectively, while the cost increases little. 展开更多
关键词 SiC/Al composites mixed with diamond thermal conductivity thermal expansion coefficient MICROSTRUCTURE
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Friction and wear properties of in-situ synthesized Al_2O_3 reinforced aluminum composites 被引量:4
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作者 蒋小松 王乃娟 朱德贵 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2014年第7期2352-2358,共7页
Al-5%Si-AI2O3 composites were prepared by powder metallurgy and in-situ reactive synthesis technology. Friction and wear properties of Al-5%Si-Al2O3 composites were studied using an M-2000 wear tester. The effects of ... Al-5%Si-AI2O3 composites were prepared by powder metallurgy and in-situ reactive synthesis technology. Friction and wear properties of Al-5%Si-Al2O3 composites were studied using an M-2000 wear tester. The effects of load, sliding speed and long time continuous friction on friction and wear properties of Al-5%Si-Al2O3 composites were investigated, respectively. Wear surface and wear mechanism of Al-5%Si-Al2O3 composites were studied by Quanta 200 FE-SEM. Results showed that with load increasing, wear loss and coefficient of friction increased. With sliding speed going up, the surface temperature of sample made the rate of the producing of oxidation layer increase, while wear loss and coefficient of friction decreased. With the sliding distance increasing, coefficient of friction increased because the adhesive wear mechanism occurred in the initial stage, then formation and destruction of the oxide layer on the surface of the sample tended to a dynamic equilibrium, the surface state of the sample was relatively stable and so did the coefficient of friction. The experiment shows that the main wear mechanism of Al-5%Si-Al2O3 composites includes abrasive wear, adhesive wear and oxidation wear. 展开更多
关键词 Al-5%Si-Al2O3 composites friction and wear coefficient of friction load sliding speed
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FINITE ELEMENT MODELING OF MODERATELY THICK COMPOSITE PLATE WITH PIEZOELECTRIC SENSORS AND ACTUATORS 被引量:2
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作者 周勇 王鑫伟 谈梅兰 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 2003年第2期205-210,共6页
A rectangular finite element for laminated plate with bonded and/or embedded piezoelectric sensors and actuators is developed based on the variational principle and the first order shear deformation theory. The elemen... A rectangular finite element for laminated plate with bonded and/or embedded piezoelectric sensors and actuators is developed based on the variational principle and the first order shear deformation theory. The element has four-node, 20-degrees-of-freedom with one potential degree of freedom for each piezoelectric layer to represent the piezoelectric behavior. The higher order derivation of deflection is obtained by using the normal rotation expressions to take the effects of transverse shear deformation into considerations. The finite element can accurately simulate the deformation of both thin and moderately thick plates. A Fortran program is written and a number of benchmark tests are exercised to verify its effectiveness. Results are compared well with the existing data. The unbalanced composite with piezoelectric layers is then analyzed by using the model. Results show that the changes of the ratio between the thickness of positive angle layers and the negative angle layers have an effect on the deformation of the structure under the same electric loading. 展开更多
关键词 finite element COMPOSITE moderately thick plate PIEZOELECTRIC ACTUATOR SENSOR
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哥德巴赫猜想两解
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作者 熊明焰 《数理化解题研究》 2022年第21期50-51,共2页
本文根据大偶数可表示为许多素数对的情况,运用递减的办法,证明了哥德巴赫猜想.
关键词 哥德巴赫猜想 域(区间) 复合数密度 步步逼近 递减 解法
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科技助力未来房子这么卖
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《东南置业》 2016年第5期40-43,共4页
L型复合数字沙盘 以往的售楼处,实体沙盘和LED屏幕往往是分离的,功能较为单一。传统沙盘只能在一个时间维度上展示项目,对于长达数十年的规划项目来说,其表现力远远不足。
关键词 房子 科技 时间维度 沙盘 复合数 售楼处 LED 表现力
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Sliding wear behavior of copper-based composites reinforced with graphene nanosheets and graphite 被引量:29
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作者 李景夫 张雷 +1 位作者 肖金坤 周科朝 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2015年第10期3354-3362,共9页
The mechanical and tribological properties of hot-pressed copper-based composites containing different amounts of graphene nanosheets(GNSs) are compared with those of copper-graphite(Gr) composites fabricated by t... The mechanical and tribological properties of hot-pressed copper-based composites containing different amounts of graphene nanosheets(GNSs) are compared with those of copper-graphite(Gr) composites fabricated by the same method.The results show that the Cu-GNSs composites exhibit higher relative density,microhardness and bending strength compared with Cu-Gr composites with the same volume fraction of GNSs and Gr.Moreover,the friction coefficients and wear rates reduce significantly by the addition of GNSs,whereas the limited impact on reducing friction and wear is found on graphite.The abrasive and delamination wear are the dominant wear mechanisms of the composites.It is believed that the superior mechanical and tribological performances of Cu-GNSs composites are attributed to the unique strengthening effect as well as the higher lubricating efficiency of graphene nanosheets compared with those of graphite,which demonstrates that GNS is an ideal filler for copper matrix composites,acting as not only an impactful lubricant but also a favorable reinforcement. 展开更多
关键词 graphene nanosheets GRAPHITE COMPOSITE friction coefficient wear mechanism
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