Sentence examples for dependence on the data from inspiring English sources
To demonstrate the dependence on the data set, one of the melanomas clinically diagnosed as benign was replaced by a melanoma clinically diagnosed as malignant, shown in Figure 6.
In the following subsection, we want to study the existence and uniqueness of mild and classical solutions to the Cauchy problem (15 - 16 15 - 16l as their continuous dependence on the data.
Next, in our main section, we prove the existence and uniqueness of solutions to the Cauchy problem for the delay equation (5) as well as their continuous dependence on the data.
Some of these are included in this report as it is intended to demonstrate that if there is any significant dependence on the data, LISp-Miner software finds it.
Another limitation of this study lies in dependence on the data collection of the RDP database.
The demonstration of the results' dependence on the data set emphasises the need for direct comparison on the same set of lesions.
From an application point of view this technique of modelling the trend and cyclical components can be perceived as a regression of the data Yt on periodic covariates, which are functions of time, while the stochastic dependence of the data, on its past including seasonality, is modelled by fitting SARIMA models to the residuals of this regression.
A Bonferroni correction was applied to set alpha level to 0.007, due to possible dependence of the data on locomotor behavior.
In the absence of prior knowledge regarding the shape of the curve, we used two common curve shapes (linear and logarithmic) to explore the dependence of the data on these two assumptions.
In the following examples we will use as geometrical data for our structure those given in Table 3; we will study the dependence on these data in Section 5.4.
Recently, Fan et al. [8, 9] obtained the existence, the uniqueness and the Lipschitz continuous dependence on the initial data of global weak solutions of compressible MHD when the initial data lie in the Lebesgue spaces.
