Sentence examples for condition for proving from inspiring English sources
A high-gain observer is designed to estimate the unmeasured states, and the Lipschitz condition for proving boundedness of the estimated states is relaxed.
Reliability is a first measurable quality of test usefulness; however, construct validity, the second, is not a necessary condition for the first, whereas Bachman and Palmer (1996) assert that reliability is a sufficient condition for proving construct validity.
We emphasize, however, that statistical significance is neither a necessary nor a sufficient condition for proving a scientific result [ 30].
\end{aligned} $$\end{document} Note that the threshold condition is a necessary but not sufficient condition for proving existence of a 2D bump.
The result provides a set of progressively less conservative sufficient conditions for proving positivity of fuzzy summations; such conditions are less and less conservative as a complexity parameter, n, increases.
Necessary conditions for proving hypocoercivity need then only to be verified on some fixed operator core of L. Furthermore, the setting is also suitable for covering existence and construction problems as required in many applications.
There is a test for rigidity involving the rank of rigidity matrices with entries formed from the coordinates of the vertices, and in two dimensions there is a graph theoretic necessary and sufficient condition for rigidity proved by Laman [40].
He was also the first to state and prove the principle of buoyancy that floating bodies displace their equal in weight and to use it for proving the conditions of stability of segments of spheres and paraboloids, solids formed by rotating a parabolic segment about its axis.
An extensive parametric analysis is also conducted, showing the robustness of the thermal solution for different conditions and proving the possibility of using the proposed numerical code both for feasibility studies and for optimization purposes.
