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 间断函数
 discontinuous functions
 The Cardinality of the Set of Discontinuous Functions 间断函数集合的势 短句来源 This paper has reached the following conclusions that the cardinality of the set of discontinuous functions confined in the intervalwhich have only the first kind of discontinuity points is c,and the cardinality of the set of all the discontinuous functions confined in the interval is 2 c. 给出了闭区间［0，1］上的具有第一类间断点的间断函数组成的集的势为c，并给出了闭区间［0，1］上的所有间断函数组成的集的势为2c等结论 短句来源
 discontinuous function
 The discontinuous function solution for crack-shape factor on the surface of duct node 管节点表面裂纹形状因子的间断函数解法 短句来源 In this paper, some identification problems of a nonlinear distributed parameter system in discontinuous function class are discussed. Using the principle of pulse va-riation, gradient formula for point-wise variation, and an algorithm for identifying functional coefficients are obtanined. The uniqueness of identification is also discus-sed. 本文讨论一类非线性分布参数系统在间断函数类中的系数辨识问题,用脉冲变分原理得出了逐点变分梯度公式,讨论了辨识的唯一性问题,并提出了辨识系数的算法,最后给出了若干例题。 短句来源 That discontinuous function is not only convenient for integral and derivative,but also can be better reflect the displacement character after crack than heaviside function. 指数型间断函数具有在数学上的便于积分和求导的优点,且比阶梯间断函数更能反映实际破裂后的变形情况. 短句来源
 “间断函数”译为未确定词的双语例句
 A vibration equation with the intermittent excitation x+p(t)x+q(t)x=0 is treated in this paper by use of the characters of the generalized functions H(t)、δ(t) and δ′(t) where p(t) and q(t) are interrupted,A method derived from this kind of equations has been found for analytical solution. 本文用广义函数H(t),δ(t),δ’(t)的性质处理具有间断激励的振动方程 x+p(t)x+q(t)x=0其中p(t)、q(t)为间断函数。 找到了求这类方程解析解的一种方法。 短句来源 In the numerical method the displacement discontinuity of crack surface is approximated with the product of the fundamental density function and polynomials. 通过将裂纹面上的位移间断函数表示为特征函数和一组多项式乘积的形式，建立了一种新型的高精度数值解法。 短句来源 This algorithm has been applied into symbolic regression and parameter identification. The results show that PTGP is a good method. 我们将这种算法应用到间断函数回归问题(符号回归问题)和间断参函数识别问题(偏微分方程反问题)中，测试结果表明，点树遗传程序设计算法能够有效的识别间断函数。 短句来源 All Phase least square approximation to the discontinuous signal is also introduced with less error than the traditional method. 文中还对间断函数进行了全相位最小二乘方的逼近,逼近误差小于传统方法。 短句来源 Both of the problems are reduced to a system of one-dimensional hypersingular integral equations with theory of finite-part integral. the unknown function is displacement discontinuities. 根据有限部积分的原理，获得了问题的超奇异积分方程组，其中的未知函数是裂纹面上的位移间断函数，并为其建立了相应的数值计算方法，并给出了裂纹端点应力强度因子的计算公式。 短句来源 更多
 相似匹配句对
 The Cardinality of the Set of Discontinuous Functions 间断函数集合的势 短句来源 Probe into the Teaching of the Function's Discontinuous Point 关于“函数间断点”的教学探讨 短句来源 The icm-sum function 最小公倍数的和函数 短句来源 Discontinuous and Impulsive Excitation 间断和脉冲激励 短句来源 The Lcm-sum Function 最小公倍数的和函数 短句来源

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 discrete function
 A discrete function of arguments of different digits is represented as a formula in a functionally complete base of operations. We construct an expansion of a discrete function in the form of a mixed series of Chebyshev polynomials. The poisson approximation for the number of matches of values of a discrete function on segments of a sequence of random variabl We investigate the following problem in this paper: where there is an unique 1-periodic discrete quadratic spline s∈S(3,p,h) satisfying certain interpolatory condition for a 1-periodic discrete function defined on [0,1]h. The paper deals with the finite rational least squares approximation to a discrete function. 更多
 discontinuous functions
 A predicate decision algebra generalizing the continuous logic to modeling of discontinuous functions is elaborated. On the convergence of double Fourier series of discontinuous functions A system of differential equations with some discontinuous functions Approximation of discontinuous functions in the Hausdorff metric Uniqueness of the polynomial of best L-approximation of discontinuous functions 更多
 discontinuous function
 We deal with the maximum Gibbs ripple of the sampling wavelet series of a discontinuous function f at a point t ∈R, for all possible values of a satisfyingf(t)=αf(t-0)+(1-a)f(t+0). This function is the sun of the first N + 1 terms of the Fourier series of the initial (discontinuous) function describing the shape of the body. In practical engineering, many phenomena are described as a discontinuous function of a state variable, and the discontinuity is usually the main reason for the degradation of the control performance. In this paper we define and investigate robust points, sets and functions which will be utilized to study a global minimization problem of a discontinuous function over a disconnected set by an integral approach. An integral approach is applied to treat a global minimization problem of a discontinuous function. 更多
 The problem of the non-linear interaction between two fully collimated plane-wave beams travelling in different directions has given rise to much of the controversy to date as to whether the secondary scattered radiation exists outside the interaction region. Ingard et al. expressed the primary beams with a type of discontinuous function 关于传播方向不同的两有限束的相互作用问题,历年来曾存在着分歧,分歧的焦点是:在公共区之外有没有二阶散射场?Ingard用间断函数表示有限束(即所谓完全准直束),通过计算求得:在公共区外有二阶散射场。Westervelt讨论了两列平面波的相互作用,却得出否定的结论。实验上也同样出现分歧。AL-Temimi将空间分成内外两部分公共区,分别求解Westervelt方程,将所得到的解在边界上连接。结果表明,公共区之外有二阶散射场。此外,他还认为上述两种相反的结论能够相对地一致。 本文讨论两束正交简谐波,将上述间断函数用二个阶跃函数之差表示,代入Westervelt方程求解。结果表明,由这种理想有限束所构成的二阶散射场不是真正的散射场,而是由于按界面分布的δ函数性质的偶极源与平面波相互作用所产生的场,它随着这种界面的消失而熄灭。而这种偶极面源如文献[3,4]所述是人为的,它是由于采用了不满足齐次波动方程的间断函数来表示一阶声场所带来的结果。本文进一步指出,从这种有限束出发求得的解却和文献[6]的结果相同。这就说明,上述两种相反的结论是不能相对地一致的。本文还对文献[6]的连接条件作了...关于传播方向不同的两有限束的相互作用问题,历年来曾存在着分歧,分歧的焦点是:在公共区之外有没有二阶散射场?Ingard用间断函数表示有限束(即所谓完全准直束),通过计算求得:在公共区外有二阶散射场。Westervelt讨论了两列平面波的相互作用,却得出否定的结论。实验上也同样出现分歧。AL-Temimi将空间分成内外两部分公共区,分别求解Westervelt方程,将所得到的解在边界上连接。结果表明,公共区之外有二阶散射场。此外,他还认为上述两种相反的结论能够相对地一致。 本文讨论两束正交简谐波,将上述间断函数用二个阶跃函数之差表示,代入Westervelt方程求解。结果表明,由这种理想有限束所构成的二阶散射场不是真正的散射场,而是由于按界面分布的δ函数性质的偶极源与平面波相互作用所产生的场,它随着这种界面的消失而熄灭。而这种偶极面源如文献[3,4]所述是人为的,它是由于采用了不满足齐次波动方程的间断函数来表示一阶声场所带来的结果。本文进一步指出,从这种有限束出发求得的解却和文献[6]的结果相同。这就说明,上述两种相反的结论是不能相对地一致的。本文还对文献[6]的连接条件作了分析,并指出这些条件是不恰当的。根据本文的结果,作者认为用上述间断函数来表示有限束从而计算参量发射和接收阵也是有影? The present paper is a s ummary of our recent research works [1-5] on optimum design of thin, solid, elastic plates. Within the context of thin plate theory, we first study the traditional formulation for optimal design, and then proceed to a new formulation, which is based on a densely, integrally stiffened plate model. Both numerical and analytical results reveal that a global optimal thickness ful1ction for thin, solid, elastic plates does genera- lly not exist within the class of continuous functions, or... The present paper is a s ummary of our recent research works [1-5] on optimum design of thin, solid, elastic plates. Within the context of thin plate theory, we first study the traditional formulation for optimal design, and then proceed to a new formulation, which is based on a densely, integrally stiffened plate model. Both numerical and analytical results reveal that a global optimal thickness ful1ction for thin, solid, elastic plates does genera- lly not exist within the class of continuous functions, or continuous functions with a finite number of discontinuities, and shou1d instead be sought within the class of functions with an infinite number of discontinuities. In cases where smooth(or partially smooth) designs are possible, a now necessary condition for optimality should be applied. 本文是我们最近关于实心弹性薄板最优设计[１－５］的一个扼要总结。在薄板理论内，我们先研究传统提法，然后讨论新的、以密级加肋板模型为基础的提法。数值和解析结果两者揭示了实心弹性薄板的全局最优解在连续函数类和只有有限个问断的连续函数内并不存在，而应在只有无限间断的函数类内寻找。当光滑解可能时，本文给出一个新的最优化必要条件． In this paper, some identification problems of a nonlinear distributed parameter system in discontinuous function class are discussed. Using the principle of pulse va-riation, gradient formula for point-wise variation, and an algorithm for identifying functional coefficients are obtanined. The uniqueness of identification is also discus-sed. Finally some examples are presented. 本文讨论一类非线性分布参数系统在间断函数类中的系数辨识问题,用脉冲变分原理得出了逐点变分梯度公式,讨论了辨识的唯一性问题,并提出了辨识系数的算法,最后给出了若干例题。 << 更多相关文摘
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