scholarly journals On Rays of Minimal Growth for Elliptic Cone Operators

Author(s):  
Juan B. Gil ◽  
Thomas Krainer ◽  
Gerardo A. Mendoza
Keyword(s):  
2007 ◽  
Vol 59 (4) ◽  
pp. 742-794 ◽  
Author(s):  
Juan B. Gil ◽  
Thomas Krainer ◽  
Gerardo A. Mendoza

AbstractWe study the geometry of the set of closed extensions of index 0 of an elliptic differential cone operator and its model operator in connection with the spectra of the extensions, and we give a necessary and sufficient condition for the existence of rays of minimal growth for such operators.


Author(s):  
Rajitha Gurijala ◽  
Sandhya Rani Bandari ◽  
Malla Reddy Perati
Keyword(s):  

2020 ◽  
Vol 7 (Supplement_1) ◽  
pp. S7-S7
Author(s):  
Alexander Lawandi ◽  
Gleice C Leite ◽  
Brigitte Lefebvre ◽  
Jean Longtin ◽  
Todd C Lee

Abstract Background Invasive infections with Carbapenemase Producing Enterobacterales are associated with considerable morbidity and mortality, in part due to the risk of inappropriate empiric therapy. Consequently, the rapid identification of carbapenem resistance is crucial to the management of these infections. We sought to evaluate possible reductions in turnaround time to identification of this resistance in blood cultures growing these organisms by applying rapid phenotypic test kits to growth from “hot chocolate” plates. Methods 30 blood cultures, spiked with carbapenem resistant Klebsiella pneumoniae isolates or susceptible controls, were inoculated onto chocolate agars that had pre-warmed at 37°C. These plates were incubated at 37ºC for 3.5 hours. The resulting minimal growth was then identified using MALDI-TOF and underwent rapid phenotypic testing using three commercially available products (β-lacta and β-carba, from Bio-Rad, Marnes-la-Coquette, France, and Carba-NP, from bioMérieux, Durham, NC). The time to identification of carbapenem resistance using this method was then compared to that of the conventional laboratory workup. Results The identification was 100% accurate to the species level using MALDI-TOF paired to the 3.5 hour growth on the “hot choocolate” plates. The β-lacta kit identified resistance to 3rd generation cephalosporins for all ESBL and carbapenemase producing Klebsiella pneumoniae isolates, while the β-carba and Carba-NP kits identified carbapenem resistance only in the carbapenemase producers. The sensitivity of all assays was 100% (95% CI 0.87–1.0) and the specificity of carbapenemase detection was 100% (97.5% one-sided CI 0.4–1.0). The corresponding sensitivities and specificities of direct disc diffusion for ertapenem resistance detection were 88.5% (95% CI 0.70–0.98) and 100% (95%CI 0.40–1.0) respectively. The turnaround time for the rapid kits coupled to the “hot chocolate” plates was 4.25 to 5.1 hours as compared to 16 hours for the conventional workup. Conclusion Rapid phenotypic tests performed after inoculation of “hot chocolate” plates are highly sensitive for the presence of carbapenemase production and can be incorporated into the laboratory workflow for Klebisella pneumoniae with important reductions in turnaround time. Disclosures All Authors: No reported disclosures


Author(s):  
W. L. Edge

SynopsisThe cubic surfaces in, save for the elliptic cone, are, whatever their singularities, projections of del Pezzo's non-singular surface F, of order 9 in. It is explained how, merely by specifying the geometrical relation of the vertex of projection to F, each cubic surface is obtainable “at a stroke”, without using spaces of intermediate dimensions.


2006 ◽  
Vol 74 (7) ◽  
pp. 3874-3879 ◽  
Author(s):  
Xinghong Yang ◽  
Todd Becker ◽  
Nancy Walters ◽  
David W. Pascual

ABSTRACT znuA is known to be an important factor for survival and normal growth under low Zn2+ concentrations for Escherichia coli, Haemophilus spp., Neisseria gonorrhoeae, and Pasteurella multocida. We hypothesized that the znuA gene present in Brucella melitensis 16 M would be similar to znuA in B. abortus and questioned whether it may also be an important factor for growth and virulence of Brucella abortus. Using the B. melitensis 16 M genome sequence, primers were designed to construct a B. abortus deletion mutant. A znuA knockout mutation in B. abortus 2308 (ΔznuA) was constructed and found to be lethal in low-Zn2+ medium. When used to infect macrophages, ΔznuA B. abortus showed minimal growth. Further study with ΔznuA B. abortus showed that its virulence in BALB/c mice was attenuated, and most of the bacteria were cleared from the spleen within 8 weeks. Protection studies confirmed the ΔznuA mutant as a potential live vaccine, since protection against wild-type B. abortus 2308 challenge was as effective as that obtained with the RB51 or S19 vaccine strain.


1981 ◽  
Vol 24 (3) ◽  
pp. 331-342 ◽  
Author(s):  
R. J. Westcott

2014 ◽  
Vol 66 (2) ◽  
pp. 354-372 ◽  
Author(s):  
Ruth Kellerhals ◽  
Alexander Kolpakov

AbstractDue to work of W. Parry it is known that the growth rate of a hyperbolic Coxeter group acting cocompactly on H3 is a Salem number. This being the arithmetic situation, we prove that the simplex group (3,5,3) has the smallest growth rate among all cocompact hyperbolic Coxeter groups, and that it is, as such, unique. Our approach provides a different proof for the analog situation in H2 where E. Hironaka identified Lehmer's number as the minimal growth rate among all cocompact planar hyperbolic Coxeter groups and showed that it is (uniquely) achieved by the Coxeter triangle group (3,7).


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