8.24.3 Can you answer these questions?

8.24.3.1 How to get $(1-x^2)^ 1/2 \theta(1-x)$ continuous?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271002

The function $f(x)=(1-x^2)^{1/2}\theta(1-x),$ 
where $\theta(x)$ is the Heaviside function, should be a continuous function for $x\geq-1$. Another way to define the same function is, 
$$ 
g(x)= \begin{... 
[function-construction] [discontinuity]
 

asked by fizeca https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=87453 Score of 3

8.24.3.2 Can I speed up ParametricNDSolve by converting ODE to DAE?

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=271044

I use  ParametricNDSolve  to find a solution to a very cumbersome ODE: 
... 
[differential-equations] [special-functions]
 

asked by Igor Kotelnikov https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=10081 Score of 1

8.24.3.3 FeatureExtraction for TimeSeries giving errors

https://mathematica.stackexchange.com/landing/r/digest?cta=question&id=270954

I'm trying to replicate this example using FeatureExtraction for TimeSeries. However, it's giving errors. 
Here's the code I've run: 
... 
[machine-learning]
 

asked by rodie9k https://mathematica.stackexchange.com/landing/r/digest?cta=user&id=87362 Score of 1