Spike Lee's 2018 film BlacKkKlansman was widely praised as one of the best of his career. When it was released, columnist Rebecca Carroll wrote that "it moved me as much for its masterful filmmaking as for its essential Spike Lee-ness." With the film still being talked about as we enter awards season, Metrograph has decided to spend a few days celebrating films from across Lee's career—and the man himself will show up for a screening of his latest work. [ more › ] Gothamist https://ift.tt/2TZe6TF November 28, 2018 at 11:50PM
Van der Pol’s differential equation is The equation describes a system with nonlinear damping, the degree of damping given by μ. If μ = 0 the system is linear and undamped, but for positive μ the system is nonlinear and damped. We will plot the phase portrait for the solution to Van der Pol’s equation in Python using SciPy’s new ODE solver ivp_solve . The function ivp_solve does not solve second-order systems of equations directly. It solves systems of first-order equations, but a second-order differential equation can be recast as a pair of first-order equations by introducing the first derivative as a new variable. Since y is the derivative of x , the phase portrait is just the plot of ( x , y ). If μ = 0, we have a simple harmonic oscillator and the phase portrait is simply a circle. For larger values of μ the solutions enter limiting cycles, but the cycles are more complicated than just circles. Here’s the Python code that made the plot. from scipy import linspace from ...
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