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正整数数列前n项和另类推导法擦出的“火花”
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作者 曾贵章 《数学学习与研究》 2016年第23期157-157,共1页
数学家高斯用倒序相加法解决了1到100的整数相加问题,后人用此算法推导出了一般等差数列的前n项和公式.而对正整数数列的前n项和公式,除了可用高斯算法推导,还能用裂项相消法推导,且裂项相消法能很好地解决一类特殊数列的前n项和问题.
关键词 高斯算法 裂项相消法 增数列 数列 前N项和
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数学奥林匹克高中训练题(228)
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作者 贾祥雪 于睿元 《中等数学》 2018年第6期41-46,共6页
关键词 周期数列 无穷递降法 奇素数 一条线 双曲线 增数列 二面角 最大值
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数学奥林匹克高中训练题(47)
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作者 刘玥 《中等数学》 2000年第6期41-43,52,共5页
关键词 等腰直角三角形 四面体 单位圆 恒成立 取值范围 增数列
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Digital AGC Based on Coherent Adjustment Cycle for DSSS Receiver 被引量:3
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作者 SHEN Yuyao WANG Yongqing +1 位作者 SHENG Dewei WU Siliang 《China Communications》 SCIE CSCD 2015年第2期95-106,共12页
In order to meet the requirements for zero value stability of direct sequence spread spectrum(DSSS) signal processing in high dynamic scenario,digital automatic gain control(AGC) is employed to regulate power.However,... In order to meet the requirements for zero value stability of direct sequence spread spectrum(DSSS) signal processing in high dynamic scenario,digital automatic gain control(AGC) is employed to regulate power.However,conventional AGC causes degradation in the synchronization performance of DSSS receiver.Based on the theoretical analysis of the influence of digital AGC on DSSS signal synchronization,this paper proposes a new AGC algorithm,which is applicable to multi-channel digital DSSS signal receiver.By making power adjustment cycle and synchronization cycle coherent with each other adaptively,the influence of digital AGC on subsequent synchronization processing has been eliminated.Theoretical analysis,simulation results and experimental data verify the validity of the proposed algorithm.By virtue of the proposed algorithm,the influence of digital AGC on DSSS signal synchronization is eliminated.This algorithm applies to an aerospace engineering project successfully. 展开更多
关键词 DSSS receiver digital AGC acquisition tracking
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基于核心素养的探究性问题设问研究
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作者 周建军 范永春 《数学通讯》 2022年第10期1-5,共5页
数学探究是高中数学课程中引入的一种新的学习方式,在探究性数学课堂中,学生围绕新的问题,利用已掌握的知识,方法和数学思想,来探究新的数学对象的性质特征。引导学生应用所学知识从新的情境中寻找到解决问题的方向,培养学生发现问题、... 数学探究是高中数学课程中引入的一种新的学习方式,在探究性数学课堂中,学生围绕新的问题,利用已掌握的知识,方法和数学思想,来探究新的数学对象的性质特征。引导学生应用所学知识从新的情境中寻找到解决问题的方向,培养学生发现问题、提出问题和解决问题能力,通过探究性问题提升数学素养,需要教师以素养为导向,合理设计问题链,引导学生逐步思考,探究数学问题的本质.本文从实际案例(“增比正数列”问题)出发,基于数学核心素养不同水平层级的理论,逐层设计合理问题链,引导学生探究数学结论和规律,提升学生的数学核心素养. 展开更多
关键词 数学探究 数学核心素养 数学运算 逻辑推理 比正数列
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Examples of entropy generating sequence 被引量:1
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作者 PARK Kyewon Koh 《Science China Mathematics》 SCIE 2011年第3期531-538,共8页
We introduce the notion of entropy generating sequence for infinite words and define its dimension when it exists. We construct an entropy generating sequence for each symbolic example constructed by Cassaigne such th... We introduce the notion of entropy generating sequence for infinite words and define its dimension when it exists. We construct an entropy generating sequence for each symbolic example constructed by Cassaigne such that the dimension of the sequence is the same as its topological entropy dimension. Hence the complexity can be measured via the dimension of an entropy generating sequence. Moreover, we construct a weakly mixing example with subexponential growth rate. 展开更多
关键词 entropy dimension entropy generating sequence COMPLEXITY
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ALMOST SURE AND QUASI-SURE GROWTH OF DIRICHLET SERIES
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作者 YU JIARONG(Department of Mathematics, Wuhan Uniyersity, Wuhan 430072, China.) 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 1996年第3期343-348,共6页
For a given Dirichlet series absolutely convergent and of order (R)p∈(o, +) in the right-halfplan, its terms can be multiplied respectively by the members of a suitable sequence defined ina probability or topological... For a given Dirichlet series absolutely convergent and of order (R)p∈(o, +) in the right-halfplan, its terms can be multiplied respectively by the members of a suitable sequence defined ina probability or topological space such that the series obtained is of order (R)ρ on any one ofcountably infinite horizontal haif lines almost or quasi surely. 展开更多
关键词 Dirichlet series Almost sure growth Quasi-sure growth
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REFINEMENTS OF THE FAN-TODD'S INEQUALITIES
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作者 K. K. CHONG Department of Applied Mathematics, The Hong Kong Polytechnic University Hong Kong, China. E-mail:makkchon@inet.po1yu.edu.hk 《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2002年第1期75-84,共10页
Refinements to inequalities on inner product spaces are presented. In this respect, inequali-ties dealt with in this paper are: Cauchy’s inequality, Bessel’s inequality, Fan-Todd’s inequality and Fan-Todd’s determ... Refinements to inequalities on inner product spaces are presented. In this respect, inequali-ties dealt with in this paper are: Cauchy’s inequality, Bessel’s inequality, Fan-Todd’s inequality and Fan-Todd’s determinantal inequality. In each case, a strictly increasing function is put for-ward, which lies between the smaller and the larger quantities of each inequality. As a result. an improved condition for equality of the Fan-Todd’s determinantal inequality is deduced. 展开更多
关键词 Cauchy's inequality Bessel's inequality Fan-Todd's inequality Fan-Todd's determinantal inequality Refinements of inequalities
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