Computing for Comparative Microbial Genomics / Yampolsky, Michael
Tác giả : Yampolsky, Michael
Nhà xuất bản : Springer
Năm xuất bản : 2009
Mô tả vật lý : 158 p.
Số phân loại : 572
Chủ đề : 1. Microbial genomics--Data processing ; Bioinformatics. 2. Book.
Thông tin chi tiết
Tóm tắt : | Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. Their beauty and complexity can be fascinating. They also hold a deep mathematical content. Computational hardness of Julia sets is the main subject of this book. By definition, a computable set in the plane can be visualized on a computer screen with an arbitrarily high magnification. There are countless programs to draw Julia sets. Yet, as the authors have discovered, it is possible to constructively produce examples of quadratic polynomials, whose Julia sets are not computable. This result is striking - it says that while a dynamical system can be described numerically with an arbitrary precision, the picture of the dynamics cannot be visualized. The book summarizes the present knowledge about the computational properties of Julia sets in a self-contained way. It is accessible to experts and students with interest in theoretical computer science or dynamical systems. |
Thông tin dữ liệu nguồn
Thư viện | Ký hiệu xếp giá | Dữ liệu nguồn |
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Đại học quốc gia Hà Nội |
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https://repository.vnu.edu.vn/handle/VNU_123/30193 |