Noun:

ಪರಿವರ್ತಕ,

mollifier's Usage Examples:

he obtained this results by using a smoothing operator, analogous to a mollifier, constructed from the Gaussian function, independently proving some results.

To prove Weyl"s lemma, one convolves the function u {\displaystyle u} with an appropriate mollifier φ ε {\displaystyle.

Such a mollifier can be obtained.

Intuitively, given a function which is rather irregular, by convolving it with a mollifier the function gets "mollified", that is, its sharp.

rather irregular, by convolving it with a mollifier the function gets "mollified", that is, its sharp features are smoothed, while still remaining close.

This now enters the theory as mollifier theory.

lemma, one convolves the function u {\displaystyle u} with an appropriate mollifier φ ε {\displaystyle \varphi _{\varepsilon }} and shows that the mollification.

given a function which is rather irregular, by convolving it with a mollifier the function gets "mollified", that is, its sharp features are smoothed.

_{K_{\delta }}(y)\,\varphi _{\delta }(x-y)\,\mathrm {d} y,} where φδ is a mollifier constructed by using the standard positive symmetric one.

_{V}} with a mollifier.

mollifier φ ε {\displaystyle \varphi _{\varepsilon }} and shows that the mollification u ε φ ε ∗ u {\displaystyle u_{\varepsilon }\varphi _{\varepsilon.

{\displaystyle \alpha } which are not smooth can be made smooth using a mollifier prior to discretization.

smooth and compactly supported then the sequence is called a mollifier.