The piezoelectric materials are defined by time-dependent nonlinear constitutive laws.
History, in contrast, is defined by time.
This was done by splitting each study subject into several observations, one for each status defined by the time dependent variable.
We model patient arrivals by a non-homogeneous (time-dependent) Poisson process [ 28] – a stochastic process uniquely defined by its time-dependent arrival intensity.
In this setting, a trivial solution is a solution which is constant with respect to the moving frame defined by the time-dependent change of variable ( x, y ) ↦ ( A ( t ) x, B ( t ) y ).
The constraint that appears in (3.1) forces the motion to occur on a manifold M : = { ( p, q ) ∈ R m × R s : g ( p, q ) = 0 } that moves integrally to a reference frame defined by the time-dependent change of variable ( x, y ) ↦ ( A ( t ) x, B ( t ) y ).
The use of DDAVP, which we took as a surrogate marker for the presence of CDI, was defined by a time-dependent indicator variate.
The pair of subjects is also defined by a time-dependent covariate: P i t = j if i∈ P j and t∈[ t E j ; t i ], or P i t = 0 otherwise.
Thus, our relaxation function may be defined as time-dependent excited emitters fraction n(t)/n(0).
To do this, we used data sets with time-dependent stratification on the TRDS-2009 dose accumulated in periods defined by the time since the dose was received.
For a case, the exposure trace is defined by the time of diagnosis and the latency period, with the latency period potentially dependent on age, gender and other covariates.
