Sentence examples for certain equivalent from inspiring English sources
Combining with other known results, we obtain certain equivalent conditions for two-sided stable-like estimates of the heat kernel.
This work presents one of the averaging procedures leading to equations with constant coefficients, in which the corrugated plates are replaced by a certain equivalent continuous structure with mean stiffness modules that describe the properties of the actual plate.
The basic principle behind modular decomposition is to iteratively identify and contract nodes that are in a certain sense equivalent, until no more equivalent nodes can be found in the graph.
The high achievement scholarship is available for students achieving ABB or higher in A-level or certain other equivalent qualifications.
The possibility of reducing the n-dimensional sliding dynamics to that of certain topologically equivalent (n − 1 -dimensional standard vector field is shown.
The possible reduction of the 3D-sliding dynamics to that of certain topologically equivalent planar standard vector field is emphasized so that the existence of Hopf bifurcations in the ideal sliding dynamics can be rigorously shown.
Teller's method exploits the fact that when abnormic laws are rewritten in certain logically equivalent ways, the resulting statements must then also count as abnormic laws.
Besides, system (2) is possibly not of exponential stability in R n even if T is contractive with certain topologically equivalent metric (Wang and Xu [11]).
Whenever a core performs a steal, data is fetched from the memory of another core, which is to a certain extent equivalent to a migration.
Then, as Lewis (1979a) points out, believing a property \(F\) is, in a certain sense, equivalent to believing the set of centered worlds \(\langle o, w \rangle\) such that \(o\) has \(F\) in \(w\).
An expansion of this scale is more likely within certain areas equivalent to 25% overall but with the possibility that health- and water-related benefits could be triple those given below.
