Answer to: Derive the equation for trajectory. By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...
This was done for the one dimensional DNLS as well as for long range hopping potentials in [11], and results along the same line with stronger notion of convergence were obtained in [9]. Such results are very interesting, but in this paper nothing to that direction is proven, as we ...
Community detection, the process of identifying module structures in complex systems represented on networks, is an effective tool in various fields of science. The map equation, which is an information-theoretic framework based on the random walk on a n
Interpret these initial values and the shape of the trajectory in terms of the predator and prey populations. (Choose the interval [0,55] for your independent variable t.) c. Use the graph of the trajectory found in part (b) to estimate the maximum and minimum values of the populations ...
We investigate the asymptotic structure of global in time solutionsu(x,t) of the energy-critical semilinear heat equation (1.1) whereis a smooth bounded domain andis a smooth initial datum. The energy associated to the solutionu(x,t) is ...
where I is the intensity in the ŝ direction at time t, and c is the light speed in the medium. The linear absorption and scattering coefficients are denoted by κ and σs, respectively. The first and second terms on the right-hand side correspond to the attenuation of the radiation ...
What is a trajectory? What kind of information do you need to predict the trajectory of a particle? What is meant by the term coefficient in relation to the chemical equation? What is the purpose of a calibration curve when it comes to environmental solu...
In the framework of the latter equation, the accelerating trajectory of the Airy beam (a bending one, in the other rendition), can be predicted by the model of the classical ballistic motion of a particle with massM50. Here, the trajectory can be modeled in terms of motion in a virtual ...
Applications of polyharmonic curves to trajectory planning problems in robotics and computational anatomy, especially when the configuration space is a Lie group, also brought the subject to the field of geometric mechanics. The Hamiltonian structure and symmetry reductions of the polyharmonic equation have...
Lagrangian models for pollen forecasting are usually based on the “Lagrangian particle random-walk” method, that calculates the trajectory of thousands to millions particles, with the advection modelled on the wind dynamics and the diffusion simulated by random relocation (Nguyen et al., 1997; ...