Sentence examples for using the hyperbolic geometry from inspiring English sources

Then Epstein [8] generalized this criterion by using the hyperbolic geometry, and his proof was quite different from the subordination chains method.

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

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).

Recall that the hyperbolic geometry on is defined by the distance.

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

We used the hyperbolic tangent sigmoid and linear (identity) activation functions in the hidden and output layers, respectively.

Using methods of hyperbolic geometry similar to [101] it is shown in [82] that one can reconstruct inclusions from the local DN map using CGO solutions that decay exponentially inside a ball and grow exponentially outside.