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用实变函数理论透视数学分析
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作者 霍美睿 《活力》 2016年第8期46-46,共1页
我们在数学分析中学习的微积分是普通微积分,它是由牛顿和莱布尼茨所建立的,存在着明显的缺陷。主要有三个方面。第一,黎曼意义下可积的函数类的范围太小。例如,定义在[0,1]上的狄利克雷函数D(x),在黎曼积分(也称R积分)意义... 我们在数学分析中学习的微积分是普通微积分,它是由牛顿和莱布尼茨所建立的,存在着明显的缺陷。主要有三个方面。第一,黎曼意义下可积的函数类的范围太小。例如,定义在[0,1]上的狄利克雷函数D(x),在黎曼积分(也称R积分)意义下不是可积函数,这一点实在遗憾!因为单从形式上看它是个非常“简单”的函数,函数值只有两个值.却居然黎曼不可积.这说明黎曼可积函数类的范围太小。深入研究可知。黎曼可积函数空间是不完备的,即黎曼可积函数列的极限函数未必黎曼可积。空间的不完备使得泛函分析等近代数学方法和技巧无法应用。 展开更多
关键词 函数理论 数学分析 勒贝格积分理论
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破碎机理初探
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作者 蔡膺泽 母福生 张智铁 《湖南有色金属》 CAS 北大核心 1993年第3期154-156,共3页
本文从物料破碎的特点入手,以新颖的观点定性的阐述了破碎过程的物理本质及能耗关系,为破碎理论的发展开拓了广阔的前景。
关键词 破碎机理 实变理论 破碎设备
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Weak radiative hyperon decays in covariant baryon chiral perturbation theory
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作者 Rui-Xiang Shi Shuang-Yi Li +1 位作者 Jun-Xu Lu Li-Sheng Geng 《Science Bulletin》 SCIE EI CAS CSCD 2022年第22期2298-2304,共7页
Weak radiative hyperon decays,important to test the strong interaction and relevant in searches for beyond the standard model physics,have remained puzzling both experimentally and theoretically for a long time.The re... Weak radiative hyperon decays,important to test the strong interaction and relevant in searches for beyond the standard model physics,have remained puzzling both experimentally and theoretically for a long time.The recently updated branching fraction and first measurement of the asymmetry parameter of Λ→nγ by the BESIII Collaboration further exacerbate the issue,as none of the existing predictions can describe the data.We show in this work that the covariant baryon chiral perturbation theory,with constraints from the latest measurements of hyperon non-leptonic decays,can well describe the BESIII data.The predicted branching fraction and asymmetry parameter for Ξ→Σγ are also in agreement with the experimental data.We note that a more precise measurement of the asymmetry parameter,which is strongly constrained by chiral symmetry and related with that of Σ→pγ,is crucial to test Hara’s theorem.We further predict the branching fraction and asymmetry parameter of Σ~0→nγ,whose future measurement can serve as a highly nontrivial check on our understanding of weak radiative hyperon decays and on the covariant baryon chiral perturbation theory. 展开更多
关键词 Weak radiative hyperon decays Baryon chiral perturbation theory Hara’s theorem Asymmetry parameters Hyperon non-leptonic decays
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Study on the Effects of the Light CP-odd Higgs via the Leptonic Decays of Pseudoscalar Mesons
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作者 汤亮 柯红卫 李学潜 《Communications in Theoretical Physics》 SCIE CAS CSCD 2012年第11期732-738,共7页
To explain the anomALously large decay rate of ∑+→p+μ+μ-, it was proposed that a new mechanism where a light CP-odd pseudoscaJar boson of mAo = 214.3 MeV makes a crucial contribution. Later, some authors have s... To explain the anomALously large decay rate of ∑+→p+μ+μ-, it was proposed that a new mechanism where a light CP-odd pseudoscaJar boson of mAo = 214.3 MeV makes a crucial contribution. Later, some authors have studied the transition π0→e+e- and γ→γA10 in terms of the same mechanism and their result indicates that with the suggested mass one cannot fit the data. This discrepancy might be caused by experimental error of ∑+→p+μ+μ- because there were only a few events. Whether the mechanism is a reasonable one motivates us to investigate the transitions π0→e+e-;η(η′)→μ+μ-;ηc→μ+μ-;ηb→τ+τ- within the same framework. It is noted that for π0→ e+ e-, the standard model (SM) prediction is smaller than the data, whereas the experimental central value of η→μ+μ- is also above the SM prediction. It means that there should be extra contributions from other mechanisms and the contribution of A may be a possible one. Theoretically calculating the branching ratios of the concerned modes, we would cheek if we can obtain a univers mass for A10 which reconcile the theoretical predictions and data for all the modes. Unfortunately, we find that it is impossible conclude that the phenomenology does not favor such a to have such a mass with the same coupling|gt|. Therefore we light A10, even though a small window is still open. 展开更多
关键词 supersymmetric Higgs bosons supersymmetric models leptonic decays of pseudoscalar mesons
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