1) piecewise continuous real function 分段连续实函数2) continuous piecewise Lyapunov functions 连续分段Lyapunov函数 1. Sufficient condition of stability is given by using continuous piecewise Lyapunov functions. 本文分析了
Latex real part symbol using amsfonts and mathfrak You can use \mathfrak function: \documentclass[12pt,a4paper]{article}\usepackage[utf8]{inputenc}\usepackage{amsfonts}\begin{document}$$\mathfrak{Re}(z)=\mathfrak{Re}(a+ib)=a$$\end{document} \[\mathfrak{Re}(z)= \mathfrak{Re}(a...
This initial learning phase included six life-size paper cut-out objects (three per route) positioned along the path. During the third walking segment of each left or right route (following the second turn), an auditory cue was introduced through a wireless loudspeaker after random delays. The...
(The entropy of the Sun grows in such a manner, as an example, and is an energy source for life on Earth.) Additionally, it is not just metabolism that supports disequilibrium; this disequilibrium is itself a catalytic agent of the metabolic process, i.e., it creates and supports itself...
Chi, Yung-feng, "True-to-Life Real-Time Animation of Shallow Water on Todays GPUs," in Wolfgang Engel, ed., ShaderX4, Charles River Media, pp. 467-480, 2005. Chiang, Matt Jen-Yuan, Benedikt Bitterli, Chuck Tappan, and Brent Burley, "A Practical and Controllable Hair and Fur Model...
Set of real numbers in Latex Set of real numbers In old books, classic mathematical number sets are marked in bold as follows $\mathbf{R}$is the set of real numbers. So we use the\ mathbfcommand. Which give: $\mathbf{R}$ is the set of natural numbers. ...
Meanwhile, from Figures, it can be seen that the highest price appears at 20:00 and the lowest price appears around 00:00, which is in line with our actual life. Indicating that users can shift their electricity consumption to peak prices to reduce costs and cope with utility pressures. ...
of load spectrum. Zhu et al. [12] proposed a generalized weakest-link model for probabilistic life prediction of notched components considering statistical and geometrical size effects, in which the failure probability of materials at different positions is quantified by a weight function of stress ...
TrixiBottomTopography.jl is a supplementary package to the numerical solver Trixi.jl, which enables to use real world geographical data for the bottom topography function of the shallow water equations.The shallow water equations in one dimension...
alone reaching an estimated USD 430 billion—a figure that accounts for healthcare expenses, productivity losses, and the diminished quality of life [3]. On a global scale, the WHO reports that road crashes cost countries, on average, roughly 3% of their gross domestic product (GDP) [1]. ...