Nevada Gov. Steve Sisolak Tests Positive For Coronavirus

Nevada Gov. Steve Sisolak speaks, pictured in September, said he is quarantining in isolation at his home after testing positive for the coronavirus on Friday.

"With my case, I want to underscore the importance of Nevadans to stay at home as much as they possibly can at this time," Sisolak said, as cases continue to rise throughout the state.

(Image credit: Steve Marcus/AP)

News : NPR https://ift.tt/3eWyD5W November 14, 2020 at 05:54AM

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Solving Van der Pol equation with ivp_solve

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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