The robustness of stability of the controlled system based on the Lyapunov direct method is proved even though bounds of disturbance are unknown.
Path tracking based on mapped variables makes it significantly easier to track the bounded homotopy path even though the bounding zone has to be narrow.
For example, it is plausible to judge purely in relation to magnitude that the nearly 8 year difference in life expectancy between English men in social class V (unskilled manual) and those in social class I (professional) (Wilkinson and Marmot 2003, 10) exceeds the bounds of permissible inequality, even though these bounds have not been specified.
Even though Tpm1-bound filaments started longer, the rate of filament severing by Cof1 was similar with or without Tpm1 bound to F-actin.
Even though protein-bound drugs have previously been shown to be sequestered in ECMO circuits under physiologic conditions [ 23] with expected increased Vss, we observed no significant increase in Vss for these drugs in the present study.
Even though protein-bound drugs appeared to have more significantly reduced CL in ECMO sheep in the final model, we observed increased CL in both healthy and critically ill sheep on ECMO for relatively more protein-bound drugs (55 % for vancomycin, 95%% for ceftriaxone and 97 % for caspofungin) compared with HS.
In general, the sequence ({f_{n}}) has no reason to be bounded even though it converges almost everywhere.
This is sometimes expressed by saying that we have an unbounded competence in entertaining different thoughts, even though we have a bounded performance.
Even though we identified a bounded stability region in parameter space, we cannot assure that this is the only region in which fixed points are stable.
More precisely, even though the error is bounded by (2 beta_{max}^{-1-alpha}) during such time intervals, see (15), the error-amplification ratio can approximately be of order (O e^{beta})).
Thus, altering the apo structure of p53 changed its DNA binding properties, even though the DNA-bound structure was not altered.
