Sentence examples for empirical functions we from inspiring English sources

The empirical functions we obtain from functional data analysis are interpreted below as ecological responses of the phytoplankton community, incorporating growth and loss terms (e.g., grazing).

While these activities were mainly characterized by empirical fitting functions, we here take a more fundamental approach based on continuum micromechanics.

From studying the empirical density functions we require that the stochastic correlation process should satisfy the following properties: (i) only takes values in the interval ((-1,1)),   (ii) varies around a mean value,   (iii) the probability mass tends to zero at the boundaries −1, +1.  .

From each training set, we estimate the empirical functions used in the model and compute the Markov chain's transition matrix.

To systematically explore these hypotheses, we examine another two empirical functions by varying whether the exponential and power law functions are vertically translated: a simple exponential rate decay function (Eq. 2) and a vertically-translated power-law function (Eq. 3).

In some cases, the resting steady state was so short that we could not fit it to any empirical functions for head trajectories.

Or we could opt for simplicity and abstraction and attempt to construct empirical functions predicting the profitability of different land-use rotations with no representation of underlying processes, in what might be called a top-down approach.

Experimentation is required for modeling empirical functions and optimization.

The results were fitted to empirical functions between pKa and temperature and composition.

The resulting empirical functions were validated by comparing the predicted and measured MPCTs for additional tests.

These empirical functions can be used in modelling, and in estimating target yields for management purposes.