We demonstrated that the length of such exons is significantly longer than the length of the exons non-coding functional sites on average, and the frequency of occurrence of introns in the sequence area of the functional site is lower than expected.
It is obvious that the functional J is lower semicontinuous and bounded from below on (overline{B}_{rho}) (see [31]).
If m = n = 1, Tonelli [1] proved that the functional F is lower semicontinuity in W1,∞ (a, b) if and only if the function f is convex in the last variable.
In heterozygotes (CCR5Δ32/CCR5) (about 20% of the Western Caucasian population), the level of functional CCR5 is lower and disease progression to AIDS is usually slower than the homozygotes carrying the wild-type CCR5 gene (CCR5/CCR5) [ 35, 36].
Fleming finds that, on average, the value of innovations coming out of diverse, cross-functional teams is lower than the value of innovations produced by teams of scientists whose backgrounds are similar to one another.
It is well-known that a monotone and hemicontinuous operator is demicontinuous and a convex and lower semicontinuous functional is weakly lower semicontinuous (see [9]).
Let be two mappings satisfying the following conditions: (a) for each ; (b)for each fixed is a concave function; (c for each fixed, the functional is weakly lower semicontinuous function from to, that is, (2.21).
Observe that, by is weakly continuous functional and since each fixed the functional is weakly lower semicontinuous, we have the functional is weakly lower semicontinuous for each.
Since the functional is weakly lower semicontinuous, we have J_{alpha *} le J_{alpha} ( g ) le lim_{k to infty} J_{alpha} ( g_{k} ) = J_{alpha *}.
A reasonable explanation is that the functional constraint on MEF2B is lower than on the other three MEF2 genes.
