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Chaos game representation of functional protein sequences,and simulation and multifractal analysis of induced measures 下载免费PDF全文
Investigating the biological function of proteins is a key aspect of protein studies.Bioinformatic methods become important for studying the biological function of proteins.In this paper,we first give the chaos game representation (CGR) of randomly-linked functional protein sequences,then propose the use of the recurrent iterated function systems (RIFS) in fractal theory to simulate the measure based on their chaos game representations.This method helps to extract some features of functional protein sequences,and furthermore the biological functions of these proteins.Then multifractal analysis of the measures based on the CGRs of randomly-linked functional protein sequences are performed.We find that the CGRs have clear fractal patterns.The numerical results show that the RIFS can simulate the measure based on the CGR very well.The relative standard error and the estimated probability matrix in the RIFS do not depend on the order to link the functional protein sequences.The estimated probability matrices in the RIFS with different biological functions are evidently different.Hence the estimated probability matrices in the RIFS can be used to characterise the difference among linked functional protein sequences with different biological functions.From the values of the D q curves,one sees that these functional protein sequences are not completely random.The D q of all linked functional proteins studied are multifractal-like and sufficiently smooth for the C q (analogous to specific heat) curves to be meaningful.Furthermore,the D q curves of the measure μ based on their CGRs for different orders to link the functional protein sequences are almost identical if q ≥ 0.Finally,the C q curves of all linked functional proteins resemble a classical phase transition at a critical point. 相似文献
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浅谈经济类专业的高等数学的教学 总被引:2,自引:0,他引:2
对高校经济类专业的高数教学,要充分认识数学与经济的关系以及数学在经济发展中的作用。从优化教学内容,提高教师素质,注重教学方法,引入数学模型方面进行探讨,以达到加强学生能力培养的目的。 相似文献
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本文在假定标的资产模型依赖时间参数(即无风险利率,标的资产的期望收益率,波动率及红利率),利用已建立的亚式期权定价模型,讨论了上限型期权、抵付型期权、双向型期权等,得到相应的期权定价解析公式. 相似文献
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本文研究了—个有用的n维e1-球分布族LSn和对称的e1-球分布的某些重要的性质.导出了z (z∈LSn)的边际分布、条件分布、生存函数、双边指数分布的尺度混合分布类(被表示为LSn,∞),讨论了它们的独立性、刻画和稳健性.并应用在非参数预测和数论网的产生中.最后,在模型诊断与异常值检验中,用蒙特卡罗方法,获得了非常有用的某些检验统计量的分位数. 相似文献
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