We prove that the scale map of the zero-crossings of almost all signals filtered by the second derivative of a gaussian of variable size determines the signal uniquely, up to a constant scaling and a harmonic function. Our proof provides…

We develop a qualitative method for understanding and representing phase space structures of complex systems and demonstrate the method with a program, MAPS --- Modeler and Analyzer for Phase Spaces, using deep domain knowledge of dynamical system theory. Given a…

The design of the control laws governing the behavior of individual agents is crucial for the successful development of cooperative agent teams. These control laws may utilize a combination of local and/or global knowledge to achieve the resulting group behavior.…

The Phase Space is a powerful tool for representing and reasoning about the qualitative behavior of nonlinear dynamical systems. Significant physical phenomena of the dynamical system---periodicity, recurrence, stability and the like---are reflected by outstanding geometric features of the trajectories in…

To determine why something has stopped working, it's helpful to know how it was supposed to work in the first place. This simple fact underlies recent work on a number of systems that do diagnosis from knowledge about the internal…

The purpose of the research was to assess the impact of the process of professional development of English foreign language teachers in Israel who participated in the Explicit Multisensory Phonics Intervention Programme. Previous research focused on changes in knowledge, practices,…

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