v. dannon showed that spherical curves in e4 can be given by frenet-like equations, and he thengave an integral characterization for spherical curves in e4 . in this paper, lorentzian spherical timelike andspacelike curves in the space time 41 r are shown to be given by frenet-like equations of timelike andspacelike curves in the euclidean space e3 and the minkowski 3-space 31 r . thus, finding...

The challenge of finding scale-up criteria that allow reproducing laboratory data at higher scales is extremely important for the industrial supercritical fluid extraction (SFE) processes. The objective of this work is to investigate the scaleup of SFE from Capsicum frutescens pepper using supercritical CO2, and to evaluate the extraction kinetic curves of oleoresin and capsaicinoids of the lar...

The Teichmüller distance between two points σ, τ in Teichmüller space T (S) is defined in terms of the minimal quasiconformal constantK(σ, τ) between σ and τ . In [10] Thurston introduced an analogous metric on T (S) by considering the least possible value of the global Lipschitz constant Λ(σ, τ) from σ to τ . On the one hand, Kerckhoff [3] showed that K(σ, τ) can be formulated in terms of the ...

A new theoretical relation that does not require the constant age-specific mortality ratio assumption is established between the standardized mortality ratio (SMR) and the life expectancy. A set of regression equations is developed from the theoretical relation to derive estimates of the future expectation of life from estimates of the SMR. Curves are presented showing the changes in life expec...