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通过几个实例给出解非预解形式线性微分方程的一般方法,并讨论了预解形式的线性微分方程与非预解形式的线性微分方程解集的差别. 相似文献
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利用两根极性不同的毛细柱,在全二维气相色谱上分析辽河油田遭受严重生物降解形成的稠油饱和烃组分,可以将传统色谱分析时形成的“基线鼓包”即不可分辨的复杂混合物(Unresolved Complex Mixtures)分开.根据饱和烃全二维气相色谱谱图的族分离特点和瓦片效应,结合飞行时间质谱提供的质谱信息初步解析不可分辨的复杂混合物主要成分.发现常规色谱分析时形成的所谓“基线鼓包”是由成千上万、含量相对较低的不同取代基的环状化合物组成,这些化合物在一维色谱上以分子量递增的顺序排列,在二维色谱上以极性的差异或者环的多少排列.C24之前的第一组不可分辨的复杂混合物主要由环己烷为基本单元的单环、双环和三环烷烃类化合物组成,信噪比在100以上的化合物数量约为饱和烃总数量的75%,质量分数是饱和烃总量的80%以上,是饱和烃的主要组成部分.C24之后出现的第二组不可分辨的复杂混合物主要由四个环或者五个环为基本单元的化合物组成,信噪比在100以上的化合物数量约为饱和烃总数量的17%,质量分数是饱和烃总量的0.5%.对稠油中这些不可分辨的复杂混合物的解析有助于对其成因机理的认识和高效开采方案的制定. 相似文献
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Jinqiao DUAN 《Frontiers of Mathematics in China》2009,4(3):425-436
Model uncertainties or simulation uncertainties occur in mathematical modeling of multiscale complex systems, since some mechanisms
or scales are not represented (i.e., ‘unresolved’) due to a lack in our understanding of these mechanisms or limitations in
computational power. The impact of these unresolved scales on the resolved scales needs to be parameterized or taken into
account. A stochastic scheme is devised to take the effects of unresolved scales into account, in the context of solving nonlinear
partial differential equations. An example is presented to demonstrate this strategy.
Dedicated to Professor Peter E. Kloeden on the occasion of his 60th birthday 相似文献
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Ground-state cooling of mesoscopic mechanical objects is still a major challenge in the unresolved-sideband regime. We present a frequency modulation (FM) scheme to achieve cooling of the mechanical resonator to its ground-state in a double-cavity optomechanical system containing a mechanical resonator. The mean phonon number is determined by numerically solving a set of differential equations derived from the quantum master equations. Due to efficient suppression of Stokes heating processes in the presence of FM, the ground-state cooling, indicated by numerical calculations, is significantly achievable, regardless of whether in the resolved-sideband regime or the unresolved-sideband regime. Furthermore, by choosing parameters reasonably, the improvement of the quantum cooling limit is found to be capable of being positively correlated with the modulation frequency. This method provides new insight into quantum manipulation and creates more possibilities for applications of quantum devices. 相似文献
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本文利用多组态Dirac-Fock(MCDF)方法,计算了Sn离子在不同离化度下(从SnVI到SnXIII)所产生的4p64dn-14f+4p64dn-15p+4p54dn+1 - 4p64dn的跃迁光谱,给出了组态平均能量随电离度的变化规律和理论预言的辐射光谱,并分析了组态相互作用对其的影响。 相似文献
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Measurement of 232Th (n,γ) cross section at the CSNS Back-n facility in the unresolved resonance region from 4 keV to 100 keV 下载免费PDF全文
Bing Jiang 《中国物理 B》2022,31(6):60101-060101
The neutron capture cross section of 232Th was measured at the neutron time-of-flight facility Back-n of China Spallation Neutron Source (CSNS) for the first time. The measurement was performed with 4 hydrogen-free deuterated benzene C6D6 liquid scintillation detectors, in the ES#2 experiment station on the beam line, at a distance of about 76 m from the neutron-production assembly. The total energy detection principle in combination with the pulse height weighting technique (PHWT) was applied to analyze the measured data. Results of the 232Th (n,γ) reaction cross section in the unresolved resonance region from 4 keV to 100 keV were obtained, which shows a good agreement with the existing experimental data from EXFOR, as well as with the evaluated data from the ENDF/B-VIII.0 and CENDL-3.1. In addition, the excitation function of 232Th (n,γ)233Th reaction in the unresolved resonance region was theoretically calculated by using the code TALYS-1.95. By fitting the experimental cross section and theoretical data, the average parameters in the unresolved resonance region were extracted. The datasets are openly available at http://dx.doi.org/10.11922/sciencedb.j00113.00015. 相似文献
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