Special John-Nirenberg-Campanato spaces via congruent cubes

Let p ∈ [1, ∞), q ∈ [1, ∞), α∈ R, and s be a non-negative integer. Inspired by the space JNp introduced by John and Nirenberg(1961) and the space B introduced by Bourgain et al.(2015), we introduce a special John-Nirenberg-Campanato space JN^con_(p,q,s) over Rⁿ or a given cube of R;with finite side length via congruent subcubes, which are of some amalgam features. The limit space of such spaces as p →∞ is just the Campanato space which coincides with the space BMO(the space of functions with bounded mean oscillations)when α = 0. Moreover, a vanishing subspace of this new space is introduced, and its equivalent characterization is established as well, which is a counterpart of the known characterization for the classical space VMO(the space of functions with vanishing mean oscillations) over Rⁿ or a given cube of Rⁿ with finite side length.Furthermore, some VMO-H¹-BMO-type results for this new space are also obtained, which are based on the aforementioned vanishing subspaces and the Hardy-type space defined via congruent cubes in this article. The geometrical properties of both the Euclidean space via its dyadic system and congruent cubes play a key role in the proofs of all these results.     

Quantum Watermark Algorithm Based on Maximum Pixel Difference and Tent Map

International Journal of Theoretical Physics - A new quantum watermark algorithm is presented by combining maximum pixel difference partitioning with the least significant bit substitution...     

AR-Grams:一种应用于网络舆情热点发现的文本聚类方法

网络舆情热点发现是一种常用且处理速度要求较高的应用.针对网络舆情热点发现这一特殊应用场合,本文提出了一种基于随机N-Gram的文本聚类方法AR-Grams.该方法通过随机N-Gram的文本相似度计算方法,确立待聚类文档集中各个初始聚类的标志文档并完成初步的聚类操作,继而通过聚类元素数阈值来确定初始聚类,并可根据实际情况确定是否执行聚类合并.该方法生成的聚类内聚性好,准确率高.另外,为了便于评估整体的聚类效果,提出了聚类的整体覆盖率和正确覆盖率.实验结果表明:与对比方法DR-Grams相比,在低阈值时,AR-Grams的准确率、召回率、F-score、正确覆盖率分别提高了11.9％、9.1％、10.2％和9.2％,提升效果尤为明显;在高阈值时,效果基本相当;在整体上,前述4项指标则分别提高了4.5％、2.9％、3.5％和3.0％,优于对比方法DR-Grams.     

ICP-MS法测定黔产枳椇果梗、枳椇子中22种金属元素

建立微波消解-电感耦合等离子体质谱(ICP-MS)法同时分析枳椇果梗、枳椇子中Be、Mg、Al、Ti、V、Cr、Mn、Fe、Co、Ni、Cu、Zn、As、Sr、Mo、Ag、Cd、Sn、Sb、Ba、Tl、Pb等22种元素的含量。样品经微波消解后,利用ICP-MS测定上述22种元素,通过标准曲线计算其含量。实验结果表明,22种元素在其线性范围内线性关系良好,r值0.995;检出限为0.0007～1.0713μg/L;重复性的相对标准偏差(RSD)3%;精密度的相对标准偏差(RSD)7%;回收率为81.14%～112.91%。该方法灵敏度高,重复性好,分析速度快,适用于枳椇果梗、枳椇子中22种元素的含量测定。