Texas Governor Orders State Investigation Of Claims Of Sexual Abuse At Karolyi Ranch

A sign points down the road to the Karolyi Ranch near Hunstville, Texas, in 2015. Gov. Greg Abbott said Tuesday he has ordered a criminal investigation into claims that former doctor Larry Nassar abused athletes at the facility, which served as the training site for the U.S. women

The Walker County Sheriff's Office has already been investigating the allegations by multiple athletes of molestation that happened when they were training at the ranch.

(Image credit: David J. Phillip/AP)

News : NPR http://ift.tt/2rPUoj7 January 31, 2018 at 03:03AM

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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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