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Titlebook: Mathematical Principles in Bioinformatics; Stephen S.-T. Yau,Xin Zhao,Hongyu Yu Textbook 2023 The Editor(s) (if applicable) and The Author

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Convex Hull Principle and Distinguishing Proteins from Arbitrary Amino Acid Sequences,ical perspective, natural vectors corresponding to sequences from the same family tend to cluster in the high-dimensional space. To provide a more detailed explanation, we introduce the convex hull principle, which is founded on the mathematical concept of the convex hull.
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Periodicity Examinationf keys in the period of the encryption. This is based on the following stationariness property of stochastic sources: If . is a plaintext (of length .) from a source ., then .., the plaintext . shifted cyclically by any number . of positions, is from the same source.
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Clinicopathologic Characteristics of Post-Transplant Lymphoproliferative Disorders,sk factors include Epstein-Barr virus (EBV) seronegativity at the time of transplant, pediatric age and allograft type. Newer studies suggest that constitutional factors such as cytokine gene polymorphisms may also predispose to PTLD. Although PTLD may occur at any time, the majority of cases arise
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