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If the implications of economic theory are described in terms of the shapes of functions implied by the theory (e.g. Engel curves) then any empirical investigation of the theory requires those functions to be estimated from data.
Another topic concerns the population coding that represents shapes of functions.
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The shapes of mapping function lines of some bad visualization schemes, such as the Global HE, BBHE, and WTHE, are alike.
Fig. 5 Shape of function f(c) = β c · ln(c + 1) for different values of coefficient β.
We start with approach J which forces the hazard ratio λ23/ λ13 to have the shape of function c.
Like the active contour model, the shape of function f is determined by considering the smoothness and the edge-ness.
Shapes of damping functions are defined as a form of piecewise constant function.
Second, we used DISTANCE [20] to calculate indices of abundance using the shapes of detection functions (estimates of how the probability of detecting a bird changes with distance from the point).
The shapes of the functions were informed by empirical evidence of the effects of dietary interventions on various causes of mortality over time.
Manual data fitting was used to optimize the interactions in the model and the shapes of the functions relating input and output species in the fuzzy logic gates.
Then, the general model is simplified, and procedures are derived for identifying optimally cost-efficient exposure assessment strategies, depending on the shapes of cost functions.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com