-->

Smooth Cutoff Function


-->

Smooth Cutoff Function. Cutoff and other special smooth functions on ℝ n. Reconstructing a function from the fourier transform for.

The free energy discrepancy on the basis of Eq. (1b) for TIP3P water at
The free energy discrepancy on the basis of Eq. (1b) for TIP3P water at from www.researchgate.net

Those functions are used to eliminate singularities of a given (generalized) function. With this in mind, the reason a smooth cutoff function would work is. Such a function is called a (smooth) cutoff function:

-->

The free energy discrepancy on the basis of Eq. (1b) for TIP3P water at

On any nonempty open set \ (u\subset {\mathbb r}^n\) there exists a smooth function with compact level surfaces, i.e.,, a. Graduate texts in mathematics, vol 220. On any nonempty open set \ (u\subset {\mathbb r}^n\) there exists a smooth function with compact level surfaces, i.e.,, a. In several applications we can avoid this problem by using smoother cutoff functions.

-->