(b) Set the infimum value from interval solution of the worst optimum problem
If it is not an interval form, then give the infimum value to the noninterval solution so that we have interval degenerate.
(i) [mathematical expression not reproducible] attains the infimum in (39) with [zeta] = [??].
(ii) The triple [mathematical expression not reproducible] attains the first infimum in (41).
The main objective of the focused transmission rate and control codesign is to search the infimums
of [[sigma].sub.i] associated with flow rate [T.sub.i,k] (i [member of] H) for the control systems H, and this problem has not been fully investigated in [15-18].
For well-behaving functions, both the supremum of the values [integral] s(x) dx for all s(x) [less than or equal to] f (x) and the infimum
of the values [integral] s(x) dx for all s(x) [greater than or equal to] f (x) coincide--and are equal to the integral.
Although there is not a unique interval extension for a specific real-valued function, any interval extension is valid as long as that when a degenerate interval (an interval with the same infimum
and supremum) is plugged into the interval extension the correct value for the real-valued function is retrieved, i.e.,
An L-fuzzy partially ordered set (A, R) is called an L-fuzzy lattice on X if for any x, y [member of] [A.sub.(0)] both L-fuzzy supremum and L-fuzzy infimum
of x, y exist.
where the infimum
is taken over all irreducible curves passing through at least one of the points [P.sub.1], ..., [P.sub.r].
if there exists a sufficiently small [theta], price dispersion (as measured either by the price range between the supremum and the infimum
or by differences in percentile price as discussed above) increases with [theta] until R = z.
m*([mu]) = (0, [??]) where [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] and the infimum
is taken over all sequences ([A.sub.n]) of Lebesgue measurable subsets of R such that [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII].
Among their topics are isotropic log-concave measures, bodies with maximal isotropic constant, tail estimates for linear functions, the central limit problem and the thin shell conjecture, and infimum
convolution inequalities and concentration.