In this case we can use that the underlying function g z) is smooth: hence, if we sort the eigenvalues in increasing order, we can estimate P ^ α α at non-integer α using interpolation.
Since we are concerned with the generation of plausible datasets, rather than just plausible samples of the underlying function values, it follows that we are actually interested in y(x) rather than f(x).
Further, the SIN approach models the stochasticity at a node regardless of the susceptibility to stochasticity of the underlying biological function that leads to its activation.
This problem is due to the difference in the underlying survivor function that describes hazard in relation to time; hazard could be greatest at diagnosis and then decrease over time or, conversely, the hazard at diagnosis may be low and then increase as time accumulates.
Single-molecule force spectroscopy (SMFS) using the atomic force microscope (AFM) has emerged as an important tool for probing biomolecular interaction and exploring the forces, dynamics, and energy landscapes that underlie function and specificity of molecular interaction.
Although this approach allows to make predictions with respect to the aggregate economy in an easier way, the underlying 'social welfare function' that represents the preferences of the 'representative' consumer is not normatively significant.
Nearly a century ago, Ramón y Cajal [1] speculated that cortical interneurones underlie specific functions that are fundamental to human thought.
Moreover, by examining the relationship between repetitive element DNA methylation and genomewide (array) gene-associated methylation, this work suggests potential epigenetic mechanisms underlying changes to placental function that may lead to altered fetal development and programming.
