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The accuracy levels attained were 100% in case of linear data and 98% for nonlinear data.

Fig. 1 Illustration of a mapping from R 2 to R 3. The left figure shows it is difficult to fit the data by a regression line because of nonlinear data distribution, whereas the right figure shows it can fit the data by a regression plane because of linear data distribution in the higher dimensional space.

The analog of a higher-order derivative, called a jet, cannot be a linear transformation because higher-order derivatives reflect subtle geometric information, such as concavity, which cannot be described in terms of linear data such as vectors.

Differences exist for the range of linear data.

Bayesian Information Criterion analysis was used to determine the goodness of fit of linear (data not shown) versus quadratic plots for the data depicted in panels B and C of Figure 1.

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The equilibrium configuration minimizes a functional depending on the average covariant derivatives of the linear data.

In this paper, instantaneous optimal control method for vibration control of linear sampled-data systems with time delay in control is investigated.

As entrepreneur strategist John Kao has described, Google and Apple embody two different kinds of strengths, one more linear, data-based and disciplined; the other improvised, non-linear creativity.

This type of model is an extension of the generalized linear model and gives an objective (non user chosen) description of the non-linear data.

From the slope and intercept of linear fit of data presented in Fig. 6, ∆Q max could be estimated.

The most popular until now is the Fourier transform, which is useful for spectral analysis of linear and stationary data.

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