Sentence examples for in the regular case from inspiring English sources
We say that we are in the regular case whenever the strong Legendre condition holds along the extremal.
In the regular case, the tangent cone to the solution set coincides with the kernel of the first derivative of the map F. Recall the following theorem.
Our barrier constructions in [13] also permit some relaxation of the conditions on F in the regular case, as already indicated in Remark 3.2.
By modifying the polynomial matrix equation for the filter in the regular case, a new simple polynomial matrix equation for a reduced order H∞ filter in the case of partially perfect measurements is obtained.
For suitable s and (beta ) in the right norm (e^{-itH}) is (text {O}(t^{-3/2})) in the regular case, while in the resonance case, one can have (text {O}(t^{-1/2})) behavior.
In the Regular Case, when neighborhood overlap and co-authorship frequency are in accordance indicating that a tie is strong, tieness also provides a high value that may represent a strong tie.
Some approximating aspects of this kind of problems in the regular cases, i.e., in the absence of layers, were investigated in [7, 26, 32].
For parameter independent boundary conditions, i.e., (k=0), characterizations of self-adjointness for A in the case of formally symmetric even order quasi-differential expressions are known both for the regular and the singular cases, see [1] and in particular [1], Theorem 6 for the regular case.
Data are therefore 'wrong' in both cases, but in the regular matrix case, they look better and allow the user to ignore the systematic errors caused by the drift.
In the regular wave case, the wave period was 2.5 s and the average wave height at breaking was approximately 0.25 m.
The maximum allowable Wi-Fi load in order to have less than 10% Zigbee packet loss rises from 279 kbps in the regular CCA case to 324 kbps in the Zigbee only deployment alternative, 3.1 Mbps in the Wi-Fi only deployment alternative and 37 Mbps when deploying it on both sides.
