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Approximation vs Mollifier - What's the difference?

approximation | mollifier |

In mathematics|lang=en terms the difference between approximation and mollifier

is that approximation is (mathematics) an imprecise solution or result that is adequate for a defined purpose while mollifier is (mathematics) an "approximation to the identity", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution.

As nouns the difference between approximation and mollifier

is that approximation is the act, process or result of approximating while mollifier is (mathematics) an "approximation to the identity", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution.

approximation

English

(wikipedia approximation)

Noun

(en noun)
  • The act, process or result of approximating.
  • (mathematics) An imprecise solution or result that is adequate for a defined purpose.
  • (medicine) The act of bringing together the edges of tissue to be sutured.

    • Derived terms

    * approximation problem * approximation property * approximation theory

    See also

    * interpolation ----

    mollifier

    English

    Noun

    (en noun) (wikipedia mollifier)
  • (mathematics) An "approximation to the identity", a smooth function with special properties, used in distribution theory to create sequences of smooth functions approximating nonsmooth (generalized) functions, via convolution.
  • * {{quote-journal, 2009, date=, , , Notices of the American Mathematical Society citation
    • , passage=I particularly remember how, at that time, I was using his mollifier method to study the zero density of L-functions and was stuck with something. }}