As was the case with the aggregated individual participant k values, the

hyperbolic equation ([R.

Muller's work ([7]) provides the relation between the Ray-Singer torsion and the

hyperbolic volume of a compact

hyperbolic 3-manifold.

The accuracy of approximated

hyperbolic tangent under various precision input signal and LUT size was investigated in [11].

The lower value is in the range where rate-dependent behavior is detectable using the

hyperbolic model introduced here.

The path on the

hyperbolic side of the double surface can be described with the

hyperbolic law of cosines:

Let us consider the second order one-dimensional linear

hyperbolic equation

Anyone who agrees that Newtonian physics and general relativity are both metaphysically possible must say that the relevant possibility is stronger than metaphysical--in a Newtonian world, it is metaphysically possible for the world to be globally

hyperbolic (since there is a metaphysically possible general-relativistic world where it is), but in the sense of "possible" relevant to the modal relationalist, it is not possible relative to a Newtonian world for matter to be arranged in a globally

hyperbolic way.

In this study, the neural network training function of the t sigmoid functions and tangent

hyperbolic in the MLP, the acceptable application performance in similar processes Is used and the results are compared To determine the best number of hidden layer neurons is required The root mean square error of network output Count the number of neurons for each hidden layer neurons is selected in a drawing graphs Root mean square error is the lowest number of neurons as the number of neurons in the hidden layer is selected To determine the number of hidden layers in a network similar to this should be done.

n+1] having the image of its Gauss map contained in a geodesic ball of the

hyperbolic space (see also [5] for a weaker first version of this result given by B.

The

Hyperbolic Crochet Coral Reef is described as: "A woolly celebration of the intersection of higher geometry and feminine handicraft, and a testimony to the disappearing wonders of the marine world.

As often happens with measures working their way through the political cauldron of the Texas Legislature, the

hyperbolic editorial rhetoric targeted at HB 274, the Governor's proposals for improving our civil justice system, has managed to completely divorce itself from the reality of what the proposals actually do.

Focusing system in this problem is the

hyperbolic lens which is placed inside a chiral medium.