A large class of explicit hyperbolic monopole solutions can be obtained from JNR instanton data, if the curvature of hyperbolic space is suitably tuned. Here we provide explicit formulae for both the monopole spectral curve and its rational map in terms of JNR data. Examples with platonic symmetry are presented, together with some one-parameter families with cyclic and dihedral symmetries. Thes...

In Analytic SSA, an approximate upper bound to the logdet term in Eq. 4 is computed (Hara et al., 2012). Without re-deriving this bound entirely, we present its final steps, which we use to obtain the bounds for KSSA and NLSSA.

Time discounting is the phenomenon that a desired result in the future is perceived as less valuable than the same result now. Economic theories can take this psychological fact into account in several ways. In the economic literature the most widely used type of additive time discounting is exponential discounting. In exponential discounting, the fall of valuation depends by a constant factor ...

distribution of the response variable are expressed as non-linear functions of the covariates. The non-linear quantile regression method would be used in a real field data related to production history in hydrocarbon reservoirs. Analysis of declining production rates and forecasting future performance of oil and gas wells is called decline curve analysis in petroleum engineering literature. Dec...

A hyperbolic bration is set of q ?1 hyperbolic quadrics and two lines which together partition the points of PG(3; q). The classical example of a hyperbolic bration comes from a pencil of quadrics; however, several other families are known. In this paper we construct a new family of hyperbolic brations for odd prime powers q. As an application of hyperbolic brations, we note that they can be us...

In this article, we prove that the commensurability class of a closed, orientable, hyperbolic 3–manifold is determined by the surface subgroups of its fundamental group. Moreover, we prove that there can be only finitely many closed, orientable, hyperbolic 3–manifolds that have the same set of surfaces.

It is standard practice in economic evaluation and in any economic analysis of future events to assume the discounted utility model on the part of economic agents. This paper compares the discounted utility model with three hyperbolic discounting models with respect to private and social ®nancial bene®ts. The discounting models are ®tted using non-linear regression techniques to data collected ...