43 国际基础科学大会-AI Assisted Automated Chemical Synthesis Planning and Execution 43:03 国际基础科学大会-Ten Foundational Ideas of Theoretical Physics-Anthony Zee 1:00:08 国际基础科学大会-Curvature-homogeneous Riemannian 3-manifolds and integrable systems 1:08:24 国际基础科学大会-Discontinuous Galerkin...
A function that is NOT continuous is said to be a discontinuous function. i.e., the graph of a discontinuous function breaks or jumps somewhere. There are different types of discontinuities as explained below. By the definition of the continuity of a function, a function is NOT continuous in...
In this paper, we provide a theoretical analysis for nonlinear discontinuous consensus protocols in networks of multiagents over weighted directed graphs. By integrating the analytic tools from nonsmooth stability analysis and graph theory, we investigate networks with both fixed topology and randomly swit...
Graphs can help identify whether a function is continuous or discontinuous. When attempting to identify a continuous function, the easiest method is tracing the graph. If the pencil being used to trace never lifts or stops, the function is continuous. However, the pencil will stop or lift if ...
The reflective discontinuous hologram is formed in a pattern that both permits viewing the protected information through it and the viewing of an authenticating image or other light pattern reconstructed from it in reflection. In another specific authentication application, a non-transparent structure of...
b) f is not continuous at x = -2, and \lim_{x \rightarrow -2} f(x) a. Without using a graph, determine whether the function f ( x ) is continuous or discontinuous at point x = ? 1 , x = 0 and x = 3 f ( x ) = ...
The structural relationship between the incoherent state and the synchronous state leads to different routes of transitions to synchronization, either continuous or discontinuous. The explosive synchronization is determined by the bistable state where the measure of each state and the critical points are ...
Achlioptas processes explosive percolation random graphs 摘要 It is widely believed that certain simple modifications of the random graph process lead to discontinuous phase transitions. In particular, starting with the empty graph on n vertices, suppose that at each step two pairs of vertices are ...
While many continuous random variables have such reparameterizations, discrete random variables lack useful reparameterizations due to the discontinuous nature of discrete states. In this work we introduce Concrete random variables---continuous relaxations of discrete random variables. The Concrete ...
Carleman estimates for the one-dimensional heat equation with a discontinuous coefficient and applications to controllability and an inverse problem We study the observability and some of its consequences (controllability, identification of diffusion coefficients) for one-dimensional heat equations with... ...