I am given a bunch of functions and their fourier series, with the constant not filled in. I'm supposed to find the constant coefficient a0 without Euler's formulas. I'm not sure how to approach such a problem.
An example of such a function and series:
f(x) = x*(pi^2 - x^2 )
f*(x) = a0 + 12 * ( sin(x)/(1^3 ) - sin(2x)/(2^3 ) + sin(3x)/(3^3 ) - ...
I am tasked to prove that the Van der Pol Oscillator is a special case of the FitzHugh-Nagumo model. I have been given the following formulas in u(t), v(t) and x(t) for these. Here they are in picture-form
FitzHugh-Nagumo:
Van der Pol:
Suggested substitution:
This problem sounds to me like it should be trivial, but I'm running into difficulties.
When I substitute u and v into the first FitzHugh-Nagumo equation I get the following result:
Or
Other substitutions give me equally unhelpful results.
When looking up the FitzHugh-Nagumo model online. The result should be that Van der Pol is the case for FitzHugh-Nagumo where a=b=0. (There was no c in the formula I found online.)
I'm an M26 beginner. I've recently starting doing side planks to strengthen my core. I do these with my arm stretched out as shown here. When I do this, my wrists hurt.
I would like to work on my wrists to resolve this and eventually work up to being able to support my full body weight on them.
What exercises should I be doing to improve them?