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Exact(15)
All these quantities must be continuous on the air-sea interface (Gill 1982).
In general, square root operations might fail to be continuous on the space of matrices.
Besides the solution and its normal derivative should be continuous on the semidisc.
In this section, the functions a and b appearing in (C1 - C3) are assumed to be continuous on the closed interval ([0,1]).
We remark that in general (overline theta ^{varepsilon }_{n}) may not be continuous on the closure of (D^{varepsilon }_{n+1}).
Let f be continuous on the strip S and suppose there exists a constant (V>0) such that (|f t,x -f t,x -f t V|x-y|) for all ((t,y),(t,y) in S).
Similar(45)
For arbitrary, is continuous on the interval in the -sense.
Therefore, is continuous on the interval in the -sense.
(V_{0}) is continuous on the set (G =bar{G})).
We see that is continuous on the compact interval and so it is uniformly continuous.
It is also obvious that h ′ (x) is continuous on the interval.
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CEO of Professional Science Editing for Scientists @ prosciediting.com