The monograph explicitly computes the Hitchin

integrable system on the moduli space of Higgs bundles, compares the Hitchin Hamiltonians with those found by van Geemen-Previato, and prove the transversality of the induced flow with the locus of unstable bundles.

Uhlenbeck is a professor at University of Texas-Austin, as well as a (http://www.ias.edu/news/press-releases/2019/abel) senior research scholar in mathematics at Princeton, that received the award for her "geometric partial differential equations, gauge theory and

integrable systems and for the fundamental impact of her work on analysis, geometry and mathematical physics."

However, digital health vendors are striving to take telehealth to the next level by developing solutions that will allow care givers to check on the health of all the residents of the house, not just the patient's, monitor diet and nutrition, the environment, and overall wellness, and be

integrable with existing and newer systems.

These rules are based on the syntactic similarity of relational databases and ontologies, are substantiated by their semantic difference and are aimed at ensuring the possibility of identifying semantic conflicts of metadata and inconsistencies of

integrable data through checking the feasibility of their ontologies.

where f : [a; b] [right arrow] R is convex and g : [a, b] [right arrow] [0, [infinity]) = [R.sup.+] is

integrable and symmetric to x = ((a + b)/2)(g(x) = g(a + b - x), [for all]x [member of] [a, b]).

A function f: [a,b] [infinity] X is Kurzweil

integrable in [a, b] if there exists w [member of] X such that for every [epsilon] > 0 there exists a gauge [delta] on [a, b] such that if |([t.sub.i-1], [t.sub.i]], [[xi].sub.i]) : i = ..., 1,n] is a [delta]-fine tagged partition of [a, b], then

During the past decades, study of the

integrable different-difference equations (or

integrable lattice equations) has received considerable attention.

A mapping F : [OMEGA] [right arrow] E is called integrably bounded if there exists an

integrable function k such that [absolute value of x] [less than or equal to] k(t) for all x [member of] [F.sub.0](t).

A function u : I [right arrow] E is said to be Henstock-Kurzweil

integrable on I if there exists an J [member of] E such that, for every [epsilon] >0, there exists [delta]([xi]) : I [right arrow] [R.sup.+] such that, for every 5-fine partition D = [{([I.sub.i], [[xi].sub.i])}.sup.n.sub.i=1], we have

It is known from classical and quantum mechanics that a system with N degrees of freedom is called completely

integrable if it allows N functionally independent constants of the motion [1].

[11] discussed

integrable variable-coefficient nonlinear evolution equations.