Knight, RW (2006)
We consider the following problem: given a set X and a function T : X andrightarrow; X, does there exist a compact Hausdorff topology on X which makes T continuous? We characterize such functions in terms of their orbit structure. Given the generality of the problem, the characterization turns out to be surprisingly simple and elegant. Amongst other results, we also characterize homeomorphisms on compact metric spaces.
; Stier, P
; Jones, A
; Johnson, CE
; Mann, GW
; Bellouin, N
; Kipling, Z (2013)
Projects: EC | ACCLAIM (280025)
The activation of aerosols to form cloud droplets is dependent upon vertical velocities whose local variability is not typically resolved at the GCM grid scale. Consequently, it is necessary to represent the sub-grid-scale variability of vertical velocity in the calculation of cloud droplet number concentration. This study uses the UK Chemistry and Aerosols community model (UKCA) within the Hadley Centre Global Environmental Model (HadGEM3), coupled for the first time to an explicit aerosol ...
Xu, X; Brossard, FSF; Williams, DA; Collins, DP; Holmes, MJ; Taylor, RA; Zhang, X (2010)
We report on a cavity mode mapping of ZnO tapered nanowires using micro-photoluminescence spectroscopy at room temperature. Both the Fabry–Perot (FP) and the whispering gallery (WG) modes are identified in a single wire. The emission spectra from single nanowires comprise regular Lorentzian peaks, which arise from the FP interference between the ends of the nanowire. The overall intensity along the tapered wire varies periodically. This variation is ascribed to WG mode resonances across the n...
Knee, GC; Gauger, EM; Briggs, GAD; Benjamin, SC (2012)
A recent paper by Souza, Oliveira and Sarthour (SOS) reports the experimental violation of a Leggett–Garg (LG) inequality (sometimes referred to as a temporal Bell inequality). The inequality tests for quantum mechanical superposition: if the inequality is violated, the dynamics cannot be explained by a large class of classical theories under the heading of macrorealism. Experimental tests of the LG inequality are beset by the difficulty of carrying out the necessary so-called 'non-invasive' ...
Bate, M (2007)
We provide upper and lower bounds for the number of completely reducible homomorphisms from a finite group Γ to general linear and unitary groups over arbitrary finite fields, and to orthogonal and symplectic groups over finite fields of odd characteristic.
Thomas, AGR; Kingham, RJ; Ridgers, CP (2009)
Presented here are the first kinetic two-dimensional Vlasov– Fokker–Planck calculations of inertial confinement fusion-related laser–plasma interactions, to include self-consistent magnetic fields, hydrodynamic plasma expansion and anisotropic electron pressure. An underdense plasma, reminiscent of the gas fill of a hohlraum, is heated by a laser speckle with Iλ2=1.0×1015 W cm− 2μm2 and radius w0=5 μm. Inverse bremsstrahlung absorption of the laser and non-local electron transport lead to the...
Erdmann, Karin; Schroll, Sibylle (2007)
We study ℓ-permutation modules of finite general linear groups GLn(q) acting on partial flags in the natural module, where the coefficient field of the modules has characteristic ℓ, for ℓandnmid;q. We call the indecomposable summands of these permutation modules linear Young modules. We determine their vertices and Green correspondents, by methods relying only on the representation theory of GLn(q).
Furthermore, we show that when the multiplicative order of q modulo ℓ is strictly greater t...
Zhu, Y; Liu, T; Song, K; Fan, X; Ma, X; Cui, Z (2008)
To further study the proliferation and multi-differentiation potentials of adipose-derived stem cells (ADSCs), the cells were isolated with improved methods and their growth curves were achieved with cck-8. Surface protein expression was analyzed by flow cytometry to characterize the cell phenotype. The multi-lineage potential of ADSCs was testified by differentiating cells with adipogenic, chondrogenic, osteogenic, and myogenic inducers. The results showed that about 5x10
Many theories have been proposed detailing how aerosols might impact
precipitation, predicting both increases and decreases depending on
the prevailing meteorological conditions and aerosol type. In
convective clouds, increased aerosol concentrations have been
speculated to invigorate convective activity. Previous studies have
shown large increases in precipitation with increasing aerosol
optical depth, concluding an aerosol effect on precipitation. Our
Schnell, S; Maini, PK (2002)
Analytic approximations of the time-evolution of the single enzyme-substrate reaction are valid for all but a small region of parameter space in the positive initial enzyme-initial substrate concentration plane. We find velocity equations for the substrate decomposition and product formation with the aid of the total quasi-steady-state approximation and an aggregation technique for cases where neither the more normally employed standard nor reverse quasi-steady-state approximations are valid....