英语词汇“friedrichs mollifier”的英英意思、用法、释义、翻译、读音、例句、短语、词组-英语词典

2. Mathematics. An operator which, applied to a function, removes singularities, discontinuities, etc., to produce a smooth function (esp. one with derivatives of all orders) which approximates the original function to a required degree. Also: a function convolved with the initial function in this operation. Also Friedrichs mollifier.

ΚΠ

1944 K. O. Friedrichs in Trans. Amer. Math. Soc. 55 132 The main tool for the proof is a certain class of smoothing operators approximating unity, the ‘mollifiers’.

1954 Ann. Math. 60 141 The approximation is accomplished by means of the Friedrichs mollifier.

1971 SIAM Rev. 13 333 If the degree of smoothness requires the continuity of derivatives of all orders,..then operators of the general character of the mollifiers introduced by Friedrichs may be employed.

1994 Math. of Computation 63 135 This is achieved..by convolution with an even mollifier on the scale ε.

单词	friedrichs mollifier
释义	> as lemmas Friedrichs mollifier 2. Mathematics. An operator which, applied to a function, removes singularities, discontinuities, etc., to produce a smooth function (esp. one with derivatives of all orders) which approximates the original function to a required degree. Also: a function convolved with the initial function in this operation. Also Friedrichs mollifier. ΚΠ 1944 K. O. Friedrichs in Trans. Amer. Math. Soc. 55 132 The main tool for the proof is a certain class of smoothing operators approximating unity, the ‘mollifiers’. 1954 Ann. Math. 60 141 The approximation is accomplished by means of the Friedrichs mollifier. 1971 SIAM Rev. 13 333 If the degree of smoothness requires the continuity of derivatives of all orders,..then operators of the general character of the mollifiers introduced by Friedrichs may be employed. 1994 Math. of Computation 63 135 This is achieved..by convolution with an even mollifier on the scale ε. extracted from mollifiern. < as lemmas
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