Sentence examples for validity of properties from inspiring English sources

From the last equality, the validity of properties (2), (3) of the function K ∗ ( t, τ ) follows.

end{aligned} (2) From (2) the validity of property (3) directly follows.

The last logic proposition for the validity of Property (ii) of Lemma 2.7 means that if and, otherwise, that is, if so that is the last element in ST (with the physical sense that the switching process generated by the switch rule stops in finite time), then.

Two heat exchange network (HEN TACC synthesis problems are employed to illustrate the validity of these properties, as well as the importance of the conditions under which the properties are derived.

In "Simulation study: relationships between gait parameters and forward velocity" and "Experimental study: relationships between gait parameters and forward velocity", simulation and experimental results will be presented to investigate the validity of these properties for the underwater snake robot locomotion.

Note that while the derivation of the empirical rules proposed in [46, 47] are based on simulation studies, this paper investigates the validity of the properties through experiments using a physical underwater snake robot [24].

Initially in this paper, we present simulation results to investigate the validity of these properties for both the complex model presented in [2] and the control-oriented model in [44].

In this paper we extend the validity of this property to a wide variety of locally compact groups.

The debate on austerity versus stimulus, in academic circles, is in large part a debate about the validity of a property called Ricardian equivalence, which is observed in this type of model.

The validity of the property crime label for this component may be tested by using the formally recognized crime types in the LAPD ground truth.

The California Department of Finance isn't slated to determine the validity of the property transfers until mid-2013, leaving the IKEA building deal in flux.