Due to the attractive condition being in contradiction with the repulsive condition, the methods of [12, 15, 16] are no long applicable to the proof of a periodic solution for equation (1.5) with singularity of attractive singularity.
Mr. Prabhakaran has mostly remained constant, a man who is ready "to take any method, however repulsive, as long as it furthered his struggle," according to a biography, "Inside an Elusive Mind: Prabhakaran," by M. R. Narayan Swamy.
Prabhakaran has mostly remained constant, a man who is ready "to take any method, however repulsive, as long as it furthered his struggle," according to a leading biography, "Inside an Elusive Mind: Prabhakaran" by M.R. Narayan Swamy.
And I don't just mean in terms of gross-out appeal, because as gaming hardware's developed so the eruptions of crimson and chunking of flesh have become photo-real repulsive – I mean mechanics, method, and the way in which extreme violence is repurposed as entertainment.
For example, in a model proposed by Galle, Loeffler et al. (2005), the cells move according to the Langevin dynamics framework and can interact based on a combination of attractive and repulsive forces (Figure 1; Method 4).
For detecting the cells, we introduce a new optimization method, the repulsive parallel hill-climbing (RPHC) algorithm, which detects all of the existing local maxima and thus reduces the chances of failing to detect the darker and smaller objects.
In earlier methods, a repulsive force is applied to the particles when their separation is less than a critical value and, depending on the magnitude of this repulsive force, collision may not be prevented or particles may bounce unrealistically.
For efficient estimation in a practical diffusion-controlled turbulent combustion problem, the repulsive particle swarm optimization (RPSO) method is implemented as an inverse solver which belongs to the class of stochastic evolutionary global optimization methods.
Electrostatic interactions were calculated at every step with the particle-mesh Ewald method, short-range repulsive and attractive dispersion interactions were described by a Lennard-Jones potential with a cutoff of 1.1 nm, and a switching function was used between 1.0 and 1.1 nm.
Each cell can interact with other cells and substrates in two methods, adhesion and repulsive forces due to elasticity (Figure 9).
Unlike the conventional DPD method that employs a purely repulsive conservative (non-dissipative) particle particle interaction to simulate the behavior of gases, we used conservative particle particle interactions that combine short-range repulsive and long-range attractive interactions.
