This would be in line with a controlling function of the endocytic machinery in balancing the degradation of a variety of cytokine growth factor and tyrosine kinase receptors involved in migration, growth, survival, oncogenicity and immunity by endosome-ancillary factors like Cbl, Nedd4, Tsg101, and Triad1 (reviewed by Mosesson et al., 2008).
Suppose that there exists a controlling function (N: Xto a,b]subset P) for (aprec b) such that Mbigl(T x bigr)succcurlyeq N x)succcurlyeq M x quad textit{for every }xin X, (D′) and for some (rin X).
Suppose that there exists a controlling function (N: Xto (a,b]subset P) for (aprec b) such that Mbigl(T x bigr)succcurlyeq N x) succcurlyeq inf_{zin sigma x, infty)} M z) succ a quad textit{for every }xin X (D) and for some (rin X).
Suppose that there exists a controlling function (N: Xto [a,b subset P) for (aprec b) such that Mbigl(T x bigr preccurlyeq N x) preccurlyeq sup_{zin sigma x, infty)} M z) prec bquad textit{for every }xin X, (D) and for some (rin X). Then T has at least countable or finite fixed points in X. An immediate consequence of the preceding statement is the following result.
Suppose that there exists a controlling function (B Xtimes Xto a,b]) for (aprec b) such that Abigl(T x), T y bigr)succcurlyeq B x, y) succinf_{z, rinsigma x, y, infty)} A z, r) succ a (8) for all (x, yin X) or Abigl(T x), T y bigr)succ B x, y) succcurlyeq inf_{z, r insigma x, y,infty)} A z, r)succ a (8′) for all (x, yin X).
When successful, political cartoons can fulfill an important criticizing and controlling function in society.
In this surface- and interface-dominated regime, biology does an exquisite job of selectively controlling functions through a combination of structure and chemical forces.
This linear system is completely controllable if for any there exists a and a control function defined for such that the solution to (2.1) with initial condition satisfies.
Computers may also provide a control function in monitoring system performance.
And in exchange you got this beautiful little thing that also has a control function".
The use of a modeling language for specifying safety properties and a control function is illustrated.
