New Zealand Supports The Right To Die, But Rejects The Right To Get High

New Zealanders have voted to allow assisted dying for the terminally ill but voted down legalizing marijuana. The questions were put to the country in separate referendums held in conjunction with the general election that handed Prime Minister Jacinda Ardern a landslide victory for another term.

The country voted to allow assisted dying for the terminally ill but no to legalizing marijuana. Two separate referendums were held along with the general election won Prime Minister Jacinda Ardern.

(Image credit: Mark Baker/AP)

News : NPR https://ift.tt/2HShUnP October 31, 2020 at 03:33AM

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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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