Finding finer functions for partially characterized proteins by protein-protein interaction networks

Based on high-throughput data, numerous algorithms have been designed to find functions of novel proteins. However, the effectiveness of such algorithms is currently limited by some fundamental factors, including (1) the low a-priori probability of novel proteins participating in a detailed function; (2) the huge false data present in high-throughput datasets; (3) the incomplete data coverage of functional classes; (4) the abundant but heterogeneous negative samples for training the algorithms; and (5) the lack of detailed functional knowledge for training algorithms. Here, for partially characterized proteins, we suggest an approach to finding their finer functions based on protein interaction sub-networks or gene expression patterns, defined in function-specific subspaces. The proposed approach can lessen the above-mentioned problems by properly defining the prediction range and functionally filtering the noisy data, and thus can efficiently find proteins’ novel functions. For thousands of yeast and human proteins partially characterized, it is able to reliably find their finer functions (e.g., the translational functions) with more than 90% precision. The predicted finer functions are highly valuable both for guiding the follow-up wet-lab validation and for providing the necessary data for training algorithms to learn other proteins.     

亚纯函数与其导数的公共Julia方向

本文研究不指定级的亚纯函数与其导函数的公共Julia方向的存在性问题。     

特征结构提取的高阶Hopfield神经网络实现

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周期函数的导函数的周期问题

本文将证明：在整个实轴上可微分的周期函数与其导函数的周期相同这一推测．     

三角多项式拟合曲线基本方法的改进

前言。在工程规划、设计与管理中，常用到一些由实际资料绘制的曲线，由于没有函数表达式，应用起来很不方便．当曲线具有周期性质(通常近似于三角函数曲线)时，自然考虑到采用三角多项式来近似拟合．本文探讨了三角多项式拟合曲线基本方法存在的不足，提出了一个有效的改进方法，并从理论上证明了该方法的正确性．     

土工作业工程机械产品质量系统分析方法

在系统工程理论指导下, 综合运用层次分析法、功效函数法和多目标数学规划法建立了产品质量管理系统分析数学模型, 并对推土机产品质量优劣作出了定量系统评价, 它是择优选用土工作业工程机械有效方法。     

Euler定理的推广

本文在文［１］的基础上，推广了可微齐次函数的Ｅｕｌｅｒ定理的结论．     

具有相同1值点的亚纯函数的唯一性定理

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