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Using the 3S analysis, I derived a set of fractal parameter equations, by which different fractal parameters of cities can be linked up with one another.
Equations by which characteristic time of carbon particle rotation under electric field action was estimated were solved using a mathematical package Maple 13.
We find excellent agreement between flow efficiency model predictions and experimental results, thus giving researchers simple equations by which they can estimate this distinct loss process for their operation.
The correlations equations by which resilient modulus can be obtained from Young's modulus derived from laboratory data are: Open image in new window Fig. 7 Regression of resilient modulus values with Young's modulus values computed from laboratory CBR {M}_R=33.048 Inleft {E}_Rright -62.776 (8) {M}_R=1.065{E}_R+12.69 (9) {M}_R=0.440{E}_R + 43.384 (10).
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Aloofness and prestige for himself and greatness for France - this was the equation by which de Gaulle sought, with varying degrees of success, to raise up his country from defeat, despair, & political mediocrity.
But city education officials now consider that information so important that they will be making it part of the equation by which schools are assigned letter grades of A through F — a ranking that, if low enough, could result in a major restructuring or even closing of a school.
This is the equation by which synthetic seismograms are calculated.
An equation, by which carbon content was accurately estimated with respect to process parameters, was obtained.
This will produce a Quadratic Equation by which to determine the Value of Waiting, ϑ, on an option (an opportunity).
The dynamics of observer state of the proposed AIO is modelled by an impulsive differential equation, by which the observer state is updated in an impulsive fashion.
Most deterministic neutron transport codes implement the multi-group approximation theory to solve the linear Boltzmann equation by which the neutron flux and the interaction cross-sections are averaged over discretized energy groups.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com