Based on the objective function defined by the approximation of the curvature variation formula of the curve, a new method for constructing composite optimized geometric Hermite (COH) curves is presented in this
The risk of accident in horizontal curves is a complex function of at least the following characteristics of the curve: the radius of the curve; the length of the curve (and the resultant deflection angle); the presence of a spiral transition curve; the super-elevation of the curve; the di...
Our result also extends to curves of different type. We say that γ is of finite type if for each s∈I∘, there exists a d-tuple of positive integers (a1,…,ad) such that detγ(a1)(s)⋯γ(ad)(s)≠0. Theorem 1.1 also continues to hold for finite type curves, since a finit...
Technically, the expressions of this work are based on rewriting the Fourier series for the driving forcey(t) into a convenient power series expression of the dynamical variablex(t). These expressions has a functional dependence which can be identified as a first order systemy(t)=f(x(t))+g...
We also use optional cookies for advertising, personalisation of content, usage analysis, and social media. By accepting optional cookies, you consent to the processing of your personal data - including transfers to third parties. Some third parties are outside of the European Economic Area, with...
We investigate the logarithmic convexity of the length of the level curves for harmonic functions on surfaces and related isoperimetric type inequalities.
The SVG specifications offer a couple of different commands for curves, but the documentation is pretty miserable. In this chapter, we’re going to cover the most intuitive type, the ellipitical curve. The A Command: Elliptical Curves As you might predict, this command creates curves that look...
For the following functions, draw a contour map of the function showing several level curves, {eq}f(x, y) = y-\ln(x) {/eq} Level Curves: The way to represent the function surfaces of two variables is sometimes a little complicated. Contour lines are o...
Hysteresis can break up these curves into a number of functions that can be easily analyzed. A overview of the functions currently availible to users can be found here: https://hysteresis.readthedocs.io/en/latest/ Examples can be found here: https://github.com/cslotboom/hysteresis/tree/...
The proposed framework has been tested in the Italian electricity market, computing the residual demand curves of the producers in a particular Market Zone; and in the Iberian electricity market, quantifying the differences in the bidding behavior of market agents in different stages of the COVID-...