Approximations and decompositions in S3

Adaptive Fourier decompositions and rational approximations, part I: Theory

In this note we will give a survey on adaptive Fourier decompositions in oneand multi-dimensions. The theoretical formulations of three different types of adaptive Fourier decompositions in one-dimension, viz., Core AFD, Cyclic AFD in conjunction with best rational approximation and Unwending AFD are provided.

Spatial Evolutionary Game Theory: Deterministic Approximations, Decompositions, and Hierarchical Multi-scale Models

SPATIAL EVOLUTIONARY GAME THEORY: DETERMINISTIC APPROXIMATIONS, DECOMPOSITIONS, AND HIERARCHICAL MULTI-SCALE MODELS SEPTEMBER 2011 SUNGHA HWANG, B.A., SEOUL NATIONAL UNIVERSITY M.A., SEOUL NATIONAL UNIVERSITY Ph.D., UNIVERSITY OF MASSACHUSETTS AMHERST Directed by: Professor Luc Rey-Bellet Evolutionary game theory has recently emerged as a key paradigm in various behavioral science disciplines. ...

Text S3

We sought to characterize WPEC by quantifying per-hour log-fold change. To do so, we regressed the log gene expression on time (hour) and extracted the linear slope. For genes with monotonically increasing or decreasing expression trajectories, the utility of our WPEC measure to discriminate is obvious. Our WPEC measure can also discriminate with more complex trajectories which may be reflectiv...

S3 Table

study design, analysis and interpretation The following table summarizes several key concepts relating to sample preparation and library construction that may influence analysis and interpretation of RNA-seq data. Several initiatives are underway to develop standards and best practices that cover many of these concepts. These include: the Sequencing Quality Control (SEQC) consortium [2], the En...

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