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    W-Band g-Port Symmetrical H-Plane Waveguide Circulators with a Partial Height Ferrite Post
    W频段部分铁氧体柱H面g重对称波导环行器
    APPLICATION OF GREY DYNAMIC MODEL (GM) TO THE PREDICTION OF HEIGHT GROWTH OF FOREST TREES
    灰色动态模型(GM)在树木生长预测中的应用
    Consecutive Integers with Same Height in Collatz 3x+1 Problem
    3x+1问题的同连续正整数
    THE HEIGHT OF THE NORMALIZER TOWER OF ONE DIMENSIONAL LIE SUBALGEBRA OF gl(V)
    关于gl(V)的一维李子代数的正规化子塔的
    A Tendency of the Proportion of Consecutive Numbers of the Same Height in the Collatz Problem
    Collatz问题中同连续数所占比例的变化趋势
    Application of Maximum Entropy Principle Method in Wave Height Distribution
    最大信息熵原理在波分布中的应用
    Family of Consecutive Integer Pairs of the Same Height in the Collatz Conjecture
    Collatz猜想中的同连续数对族
    The W-K Operator with the Height Approximation Order and Oscillatory Kernel
    具有逼近阶及振荡核的W-K算子
    It is proved that, at usual tower height and usual lower reflector size (m=(b~2/λd)<0.5), the diffirence between theoretical gains of these two systems is within 0.8 db.
    計算表明,在常用的塔与下镜尺寸情况下(m_o=(b~2/(λd))<(1/2)),两种不同形式下镜的系統在理论上增益相差不超过0.8分贝。
    In this paper, we have obtained two results about the estimation of lower bounds for the approximation to e and to e~π by algebraic numbers:Theoreml There exists a positive constant C which may be computed, such that|e-ξ|>exp(-Cd~2(lndH)ln~2d)holds for any algebraic number ξ having degree≤d and height≤H.
    本文得到了用代数数逼近e和e~π的下界估计的两个结果: 定理1 存在可计算常数C>0,使对任何次数≤d、≤H的代数数ξ,有|e-ξ|>exp(-Cd~2(1ndH)1n~2d)。
    Theorem2 There exists a positive constant C may be computed, such that|e~π-ξ|>exp(-Cd~(lndH)(lnlndH)~2)holds for any algebraic number ξ having degree≤d and height≤H.
    定理2 存在可计算常数C>0,使对任何次数≤d、≤H的代数数ξ,有|e~π-ξ|>exp(-Cd~2(1ndH)(1n1ndH)~2)。
    Six indexes were determined Height of seedling(x_1);
    每株样苗分别测量了下述六个因子:苗(x_1);
    fresh weight(x_5); height of cent of grayity(x_6) distance from centre of gravity to top shoot.
    鲜重(x_5)重心(x_6)——苗木重心至顶芽的距离。
    This paper demonstrates the following theorems in Collatz 3x+1 problem, and presents innumerable types of consecutive integers which have the same height and the length of 3,4 and 15 respectively: 1. The consecutive integers C_t-1, C_t-2, C_t-3 have the same height, where C_t=2~(46t+40)m+2~(64t+32).
    本文证明了Collatz 3x+1问题的下列同定理,给出无限多类型的长分别为3、4和15的同连续正整数: (1)连续正整数C_t-1,C_t-2,C_t-3有相同的,其中C_t=2~(46t+40)m+2~(64t+32);
    2. The consecutive integers d_t-1, d_t-2, d_t-3 and d_t-4 have the same height, where d_t=2~(64+39)m+3×2~(64t+31).
    (2)连续正整数d_t-1,d_t-2,d_t-3和d_t-4有相同的,其中d_t=2~(64+39)m+3×2~(64t+31);
    3. The consecutive integers f_t+1, f_t+2,…and f_t+15 have the same height, where f_t=2~(64t+1)m+2~(64t-6).
    (3)连续正整数f_t+1,f_t+2,…和f_t+15有相同的,其中f_t=(64t+1)m+2~(64t-6).
    (2) Under the meaning of convergence in probability the closure of this process is also the process of ellipsoidal equal height.
    (2)在依概率收敛的意义下,该过程的闭包也是椭球等过程。
    In this paper, based on paper [1] , We introduce the notion of the process of the central ellipsoidal equal height, and further give the definition of Wiener process {X(t), t≥0 } in the naive sense, and we have proved its two properties: (1) characteristic numbres: EX(t)=0, DX(t) = σ2t, Γ(s1, t)=σ2min{s,t};
    本文在文[1]的基础上引入中心椭球等过程的概念,进而给出了广义Wiener过程{x(t),t≥0}的定义,并证明了它的两个性质:(1)数字特征:EX(t)=0,DX(t)=σ~2t,Γ(s,t)=σ~2min{s,t};
    In this paper, the mechanical slab method is proposed based on the principal stress method, the calculation formulae of the stress field of a cylinder (H/D>1 ) being upset between common flat platens are dedued, and the stress field of an upset body with ratio of height to diameter H/D ̄ 1. 63 is calculated and analysed.
    在主应力法的基础上,本文提出了力学分块法,推导出圆柱体(H/D>1)在普通平板间镦粗时应力场的计算公式,并具体计算和分析了径比H/D—1.63的镦粗体内部的应力场。
    2°D(2J)→∞ if J→∞,where D(2J)is the density of consecutivenumbers of the same height in interval[1,2J]in the 3n+1 problem and L(2J )is the lengthof the largest n-tuple in[1,2J)in the problem.
    2°在3n+1问题中,当J→∞时,区间[1,2J)中的同连续数的密度D(2J)→1,且[1.yJ)中最长的n-tuPle的长度L(2J)→∞.
 

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