Sentence examples for conditions for continuity from inspiring English sources
We find sufficient conditions for continuity of the Weyl product and we derive necessary conditions.
Section 3 contains the result on necessary conditions for continuity on quasi-Banach modulation spaces (Theorem 3.3).
Section 2 contains the result on sufficient conditions for continuity on quasi-Banach modulation spaces (Theorem 2.1).
Now, we give the sufficient conditions for continuity of an approximate solution S̃ at ((varepsilon_{0},mu_{0}) ).
The preceding lemma is needed in the proof of Theorem 3.3 below on necessary conditions for continuity.
There was, however, no significant difference among conditions for continuity of attention, speed of numeric working memory and picture recognition sensitivity.
His attempted proof introduced essentially the modern condition for continuity of a function f at a point x: f(x + h) − f(x) can be made smaller than any given quantity, provided h can be made arbitrarily close to zero.
In order to explain these relationships we investigate a condition for continuity of net sediment transport throughout the estuary, corresponding to morphodynamic equilibrium.
In respect of this, at the turning point the condition for continuity is expected to be fulfilled by the two terms of Eq. 4.
Finally, in order to tackle the problem that most complex developable surfaces in engineering often cannot be constructed by using a single developable surface, we derive the necessary and sufficient conditions for G1 continuity, Farin−Boehm G2 continuity and G2 Beta continuity between two adjacent developable Bézier-like surfaces.
In order to tackle the problem that an engineering complex developable surface is usually hard to be constructed by using a single developable surface, we also derive the necessary and sufficient conditions for G1 continuity, Farin-Boehm G2 continuity and G2 Beta continuity between two adjacent developable λ-Bézier surfaces.
