Discovery of the Elements. Fourth edition, enlarged and revised (Weeks, Mary Elvira)

The Compression Handbook - Fourth Edition

Preface to the revised edition

In the first edition of this book the main attention was focused on the methods of solving the inverse problem of spectral analysis and on the conditions (necessary and sufficient) which the spectral data must satisfy in order to make it possible to reconstruct the potential of the corresponding Sturm-Liouville operator. These conditions imply that the spectral data (e.g. spectral function or s...

Genomes 4. Fourth edition

With high-throughput sequencing, transcriptomics, and proteomics no longer in their “infancy” as described in the preface by author T.A. Brown, Genomes 4 offers an expansive review on a broad spectrum of topics in genetics ranging from the central dogma of genes coding for proteins, to the fine technical details of genome mapping. This edition retains the four-part organization from the previou...

Uncertainty Theory Fourth Edition

Matroid Decomposition REVISED EDITION

Matrix We take a detour to introduce abstract matrices. We want to acquire a good understanding of such matrices, since they not only represent matroids, but 74 Chapter 3. From Graphs to Matroids also display a lot of structural information about matroids that other ways do not. An abstract matrix B is a {0, 1} matrix with row and column indices plus a function called abstract determinant and d...