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Let (X(Rd), x) be a normed space of real functions on Rd. Let > 0 and P be theoperator in X(Rd) defined by P f(x) = x(x)f(x) (where (x) is the characteristic functionof the cube Id = [- , ]d). Let L be a subspace of X(Rd). Set P L= {P f: f L}. SupposeL is locally-finite dimensional, i.e., dim(P L,X) < for every > 0. Then the followingquantity is said to be the average dimension of L in X (in the sense of LED)(see [1]).Let > 0, and C be a centrally symmetric subset of X(Rd). The i… 相似文献
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OPTIMALQUADRATUREOFTHESOBOLEVCLASSW_1~r(R)DEFINEDONWHOLEREALAXIS(房艮孙,刘永平)¥FangGensun;LiuYongping(Dept.ofMath.,BeijingNormalUni... 相似文献
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In this paper, we introduce a kind of Sobolev-Wiener spaces defined on the whole realaxis and discuss their infinite dimensional width and optimal interpolation problems. Wegive the exact values (of strong asymptotics) of the infinite dimensional Kolmogorov widthand linear width of W_(∞,p)~r(R) in the metric L_p(R). Meanwhile, we also solve its optimalinterpolation problem. 相似文献
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基于红外技术的气体浓度检测方法研究 总被引:1,自引:0,他引:1
依据Lambert-Beer定律,推导出检测气体浓度的数学模型,得出了测量和参考探测器输出电压与气体浓度的函数表达式,表达式中的二个常数的数值取决于气室长度、气体吸收系数、探测器的电压探测率,经零点和满量程标准气样的标定,可确定这二个常数的数值,实现对仪器的标定.根据仪器零点随温度变化的关系,得到零点与温度函数表达式,用于零点温度补偿以及对零点温度补偿系数的计算;量程温度补偿方法是通过引入量程温度补偿因子,对测量和参考探测器输出电压与气体浓度的函数表达式进行修正,修正后的函数表达式用于量程温度补偿,也能对量程温度补偿因子中的补偿系数进行计算.矿用红外甲烷传感器采用本文的标定方法和温度补偿方法,在不同的环境温度下,对标准气样进行检测,其检测结果符合红外甲烷传感器标准所规定的基本误差. 相似文献
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The purpose of this article is to investigate(s, t)-weak tractability of multivariate linear problems in the average case setting. The considered algorithms use finitely many evaluations of arbitrary linear functionals. Generally, we obtained matching necessary and sufficient conditions for(s, t)-weak tractability in terms of the corresponding non-increasing sequence of eigenvalues. Specifically, we discussed(s, t)-weak tractability of linear tensor product problems and obtained necessary and sufficient conditions in terms of the corresponding one-dimensional problem. As an example of applications, we discussed also(s, t)-weak tractability of a multivariate approximation problem. 相似文献
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提出了一种利用多模耦合实现低频、宽带、大功率特性的新结构Ⅲ型弯张换能器。通过在压电陶瓷堆内部嵌入与凹型弯张壳体相连的弹性辅助弯曲梁结构,并用弯曲圆盘作为顶部自由端盖,增加有效工作模态。利用有限元方法对换能器进行了设计优化,分析结果显示换能器在低频段存在4个主要工作模态。根据优化结果,加工制作了换能器样机,水池实验的测试结果表明:在1.5~5.5 kHz范围内,换能器样机的发送电压响应均大于135 dB;1.5~4 kHz内的最大发送电压响应大于142 dB,响应起伏小于6 dB。研究结果表明自由端盖Ⅲ型弯张换能器不仅能够在小尺寸设计下实现大功率工作,还能获得低频宽带发射性能。 相似文献