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Pronunciation varies by accent · adjective
(mathematics) Having all derivatives over an open set bounded by an indexed value in an ultradistribution (times a constant)..
Under this assumption, and through the characterization of strongly regular sequences in terms of so-called regular variation, we show that the growth index #92;gamma(#92;mathbb#123;M#125;) defined by V.Thilliez (Division by flat ultradifferentiable functions and sectorial extensions, Results Math. 44 (2003), 169--188) and the order of quasianalyticity #92;omega(#92;mathbb#123;M#125;) introduced by the second author (Flat functions in Carleman ultraholomorphic classes via proximate orders, J.
Use ultradifferentiable when its meaning, tone and grammar fit the full sentence. A synonym is not always a direct replacement.
Ultradifferentiable means (mathematics) Having all derivatives over an open set bounded by an indexed value in an ultradistribution (times a constant)..
The closest synonym depends on the sentence and intended sense.
The opposite depends on the specific sense.
Under this assumption, and through the characterization of strongly regular sequences in terms of so-called regular variation, we show that the growth index #92;gamma(#92;mathbb#123;M#125;) defined by V.Thilliez (Division by flat ultradifferentiable functions and sectorial extensions, Results Math. 44 (2003), 169--188) and the order of quasianalyticity #92;omega(#92;mathbb#123;M#125;) introduced by the second author (Flat functions in Carleman ultraholomorphic classes via proximate orders, J.
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