In the context of 2 + 1–dimensional quantum gravity with negative cosmological constant and topology R×T 2, constant matrix–valued connections generate a q–deformed representation of the fundamental group, and signed area phases relate the quantum matrices assigned to homotopic loops. Some features of the resulting quantum geometry are explored, and as a consequence a quantum version of the Gol...

Since the early recognition of the value of electrical measurements on biological cells and tissues, the resting potentials of many cells have been determined and have been shown to vary with the degree of activity and with the composition of the external medium. When a steady current is passed, the potential takes on a new value. The ratio of the current to the change in potential, namely the ...

The infant mortality rate (IMR) is one of the most important indicators of the socio-economic well-being and public health conditions of a country. The US childhood immunization schedule specifies 26 vaccine doses for infants aged less than 1 year—the most in the world—yet 33 nations have lower IMRs. Using linear regression, the immunization schedules of these 34 nations were examined and a cor...

Renal pelvic hematoma (Antopol Goldman lesion) is a rare but significant condition that may clinically mimick a renal or a pelvic neoplasm. Differential diagnosis and optimal treatment are still not known certainly. A 80-year-old male patient admitted to the emergency department with gross hematuria/clot retention and right flank pain. Magnetic resonance imaging (MRI) imaging revealed a filling...

In the context of (2+1)–dimensional gravity, we use holonomies of constant connections which generate a q–deformed representation of the fundamental group to derive signed area phases which relate the quantum matrices assigned to homotopic loops. We use these features to determine a quantum Goldman bracket (commutator) for intersecting loops on surfaces, and discuss the resulting quantum geometry.

Dodge, J., Mitchell, C. & Hanahan, D. (1963) Arch. Biochem. Biophys. 100, 119-130 Fahimi, H. D. & Karnovsky, M. J. (1964) J . Cell Biol. 23, 29A Goldman, R., Kedem, 0. & Katchalsky, E. (1968) Biochemistry 7 , 4518-4531 Goldman, R., Kedem, 0. & Katchalsky, E. (1971) Biochemistry 10, 165-172 Goldstein, L., Levin, Y. & Katchalsky, E. (1964) Biochemistry 3, 1913-1919 Hornby, W. E., Lilly, M. D. & C...

To unify the theory of continuous and discrete dynamic systems, in 1990 Hilger [16] proposed the study of dynamic systems on a time scale and developed the calculus for functions on a time scale (i.e., any closed subset of reals). The purpose of this paper is to establish some complements of Cauchy’s inequality on time scales, which extend some results of Cargo [6], Diaz, Goldman, and Metcalf [...

in terms of their trace and determinant are foundational in the real hyperbolic geometry. The counterpart of this characterization for isometries of H C was given by Giraud [8] and Goldman [9]. In this paper we offer algebraic characterization for the isometries of H H. The methods we follow carry over to the complex hyperbolic space, and yields an alternative characterization of the isometries...

The Hitchin component Hit_n(S) of a closed surface S is preferred the character variety X_PSL_n(R)(S) consisting homomorphisms from fundamental group pi_1(S) to Lie PSL_n(R)(S), whose elements enjoy remarkable geometric and dynamical properties. We consider certain type deformations Hit_n(S), called shearing deformations, compute their pairing for Atiyah-Bott-Goldman symplectic form variety.

With rapid solidification following pulsed laser melting, we have measured the dependence on interface orientation of the amount of solute trapping of several group III, IV, and V elements (As, Ga, Ge, In, Sb, Sn) in Si. The aperiodic stepwise growth model of Goldman and Aziz accurately fits both the velocity and orientation dependence of solute trapping of all of these solutes except Ge. The s...