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By hairball I refer here to those stunningly complicated network diagrams that grace the pages (and covers) of major journals with some regularity, in which the vertices or 'nodes' are annotated with symbols representing genes, proteins or metabolites, and the connectors or 'edges' are usually so numerous as to strain the resolution of monitors and printers.
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Participants were presented with three types of chord progression sequences (Expected, Intermediate, and Unexpected) with different harmonic regularities in which melody differences were or were not controlled.
However, there are high nonlinearity and regularity in (1.1), which makes the proof of several required nonlinear estimates very difficult.
For the low regularity of space in which we study the weak solutions and weakly compact priori estimates of the approximate solutions, we use the method in [17] to improve the weak convergence to strong convergence.
In 1926, Robison presented a four-dimensional analogue of regularity for double sequences in which he added an additional assumption of boundedness.
The notion of exploratory experimentation was introduced to describe experiments driven by the desire to obtain empirical regularities and to develop concepts and classifications in which these regularities can be described (Steinle 1997, 2002; Burian 1997; Waters 2007)).
A few lines later he explains why: "We are pattern seekers, believers in a coherent world, in which regularities … appear not by accident but as a result of mechanical causality or of someone's intention".
Finally, I discuss the ways in which regularities of input-output relations shape many key aspects of biological design.
Thus, the question is whether there are certain regularities in the manner in which the genetic trade-offs vary and evolve (Kause et al. 2001; Kause and Morin 2001) and which factors create such variation (Núñez-Farfán et al. 2007).
Video-based interaction analysis is a technique intended 'to identify regularities in the ways in which participants utilize the resources of the complex social and material world of actors and objects' [ 6].
While its authors have little faith in the value of fibre in maintaining bowel regularity, they cite a study in which eating fibre resolved the symptoms of 80percentnt of those with constipation of no identifiable cause (the majority of constipation cases).
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CEO of Professional Science Editing for Scientists @ prosciediting.com