()
I tend to use the chunk idea to help me grasp the concept and build illustrations. The neutrino oscillation question qualitative description asked yesterday is an example.

However, because my physics intuition still sucks, I often need to ask others in the field to check whether my illustrations are accurate enough. This is the reason I asked @ACuriousMind and @dmckee about it

This is because (particularly in the physics community, where they seemed to be extremely allergic to any potential cranks), I don't want to be accused crank because I got a wrong illustration or interpretation

Given
$$D^{\alpha}\Lambda_f=\int f D^{\alpha} \phi d\mu=(-1)^{|\alpha|}\int g\phi d\mu=\Lambda_g$$
$$\phi(r)\in C^{\infty}$$
$$k > \frac{n}{2}$$
$$||\partial^k_r(\psi f)||_{L^2}\le C_4 ||f||_{Q,2}$$
$$\sqrt{\int_{\mathbb{R^n}}(\partial_r^k(\psi f))^2d\mu}\leq C_4 \sqrt{\sum_{|\alpha|\leq k}\int_{\mathbb{R}^n} |D^{\alpha}f|^2 d\mu}$$
If we assume equality
$$\sqrt{\int_{\mathbb{R^n}}(\partial_r^k(\psi f))^2d\mu}= C_4 \sqrt{\sum_{|\alpha|\leq k}\int_{\mathbb{R}^n} |D^{\alpha}f|^2 d\mu}$$
$$\int_{\mathbb{R^n}}(\partial_r^k(\psi f))^2d\mu= (C_4)^2 \sum_{|\alpha|\leq k}\int_{\mathbb{R}^n} |D^{\al…