One might, as in this case study, choose a mathematical relation which represents whether, and by what order of magnitude, the influence increases or decreases the value of the dependent variable by a multiple linear regression model.
Mathematical formula 2: A mathematical relation which is required to obtain Eq. (33) from Eq. (32) is [32] begin{aligned} exp left[ c hbar ^2 frac{partial ^2}{partial q^2}right] h (q) = frac{1}{sqrt{4pi hbar ^2 c }} int _{-infty }^{infty } exp left[ - frac{ y-q ^2}{4chbar ^2} right] h(y) mathrm{d}y.
In this analytical paper, we derive general mathematical relations which allow computing the diffusion-free differential and cumulative RTD in straight planar, circular and concentric annular channels for arbitrary monotonic and piece-wise monotonic one-dimensional velocity profiles.
The language of molecular life science is characterized by vivid use of metaphors, similes, anthropomorphisms, teleological expressions, scientific slang, abbreviations, acronyms, and mathematical relations, which are described in detail below.
The mathematical method used is scaling of the frequency with the square of the intrinsic fluid-loading parameter to maximise the number of terms in the dispersion relation which balance at leading order.
Integrating neural networks (which are black-box models) into the approximate mathematical relations of engine (which are roughly white-box), we will achieve a grey-box extension in engine modeling.
Philolaus does not provide many further specific examples of mathematical relations controlling phenomena, which is not surprising given the scientific capabilities of the time.
This framing supports an epistemological stance in which the mathematical relation is viewed as biologically relevant, not as something introduced for its own sake.
Regression models, which interrogate possible mathematical relation(s) between the outcome of interest and a subset of relevant predictive characteristics, provide a convenient framework for this identification [ 1, 2].
Then, we determine p (1) which corresponds to κ via their mathematical relation.
According to quantitative techniques, the risk can be considered as a quantity, which can be estimated and expressed by a mathematical relation, under the help of real accidents' data recorded in a work site.
