Sentence examples for using the hyperbolic composite from inspiring English sources

Monotonicity and Schur-concavity of the identric mean with respect to and for fixed was discussed in [14], using the hyperbolic composite function.

These are the efficiency rankings, by country, in 2010, using the hyperbolic order-α estimator.

Their method combines Fourier expansion with a change-of-coordinate using the hyperbolic sine function.

These are the efficiency rankings, by country, in 2012, estimated using the hyperbolic order-α estimator.

CRFs were quantified using the hyperbolic ratio equation in 81 cells (see Methods; not illustrated).

Saturation can be considered using the hyperbolic adsorption law (see supporting file Text S1).

Using the hyperbolic tangent transformations, we obtained a corresponding interval for the posterior ρ (0.56 0.63).

In this work, we use the hyperbolic tanget: Sigmoid functions such as the hyperbolic tanget are suitable for complex problems [ 30].

Miller is too savvy to use the hyperbolic language common to most start-up founders.

For this model we formally use the hyperbolic discounting framework.

In order to do this, we will use the hyperbolic geometry of Ω.