scholarly journals Quantitative Estimates on the Singular Sets of Alexandrov Spaces

2020 ◽  
Vol 3 (2) ◽  
pp. 203-234
Author(s):  
Nan Li ◽  
Aaron Naber
1965 ◽  
Vol 5 ◽  
pp. 120-130
Author(s):  
T. S. Galkina

It is necessary to have quantitative estimates of the intensity of lines (both absorption and emission) to obtain the physical parameters of the atmosphere of components.Some years ago at the Crimean observatory we began the spectroscopic investigation of close binary systems of the early spectral type with components WR, Of, O, B to try and obtain more quantitative information from the study of the spectra of the components.


Author(s):  
D. L. Misell

In the electron microscopy of biological sections the adverse effect of chromatic aberration on image resolution is well known. In this paper calculations are presented for the inelastic and elastic image intensities using a wave-optical formulation. Quantitative estimates of the deterioration in image resolution as a result of chromatic aberration are presented as an alternative to geometric calculations. The predominance of inelastic scattering in the unstained biological and polymeric materials is shown by the inelastic to elastic ratio, I/E, within an objective aperture of 0.005 rad for amorphous carbon of a thickness, t=50nm, typical of biological sections; E=200keV, I/E=16.


2019 ◽  
pp. 55-69 ◽  
Author(s):  
Sergey M. Drobyshevskiy ◽  
Natalia V. Makeeva ◽  
Elena V. Sinelnikova-Muryleva ◽  
Pavel V. Trunin

This paper is devoted to the estimation of welfare costs of inflation, taking into account the peculiarities of the Russian economy. Theoretical approaches that are used in the literature to analyze the costs of inflation are discussed in the paper. It also provides an overview of the empirical studies of this topic. Research found in academic literature shows that the results of quantitative estimates are extremely sensitive to the choice of the functional form of the money demand equation, as well as to assumptions that are made to simplify the analysis, some of which do not fit Russian data. As a result, we have modified the standard approaches to estimating welfare costs of inflation, taking into account the monetization growth in Russia, and provide quantitative estimates of the magnitude of welfare costs of inflation. The results indicate a significant gain for economic agents in terms of real GDP with a decrease in inflation, which is regarded as a positive effect from the inflation targeting policy.


1999 ◽  
Author(s):  
P. Frasca ◽  
J. Newton ◽  
R. DeMalo

Author(s):  
Vladimir A. Lapin ◽  
Erken S. Aldakhov ◽  
S. D. Aldakhov ◽  
A. B. Ali

For the first time in Almaty full passport of apartment stock of multiapartment building was carried out. The structure of the housing stock was revealed with the allocation of groups of buildings according to structural solutions and assessment of their seismic resistance. Based on the results of certification, quantitative estimates of failure probability values for different types of buildings were obtained. Formulas for estimation of quantitative value of seismic risk are obtained. The number of deaths in the estimated zem-shakes was estimated. The results of the assessments will be used for practical recommendations to reduce risk and expected losses in possible earthquakes.


2019 ◽  
Author(s):  
Isabel Fendley ◽  
◽  
Tushar Mittal ◽  
Courtney J. Sprain ◽  
Mark Marvin-DiPasquale ◽  
...  

2020 ◽  
Vol 11 (1) ◽  
Author(s):  
Andrew J. Biggin ◽  
Richard K. Bono ◽  
Domenico G. Meduri ◽  
Courtney J. Sprain ◽  
Christopher J. Davies ◽  
...  

AbstractA defining characteristic of the recent geomagnetic field is its dominant axial dipole which provides its navigational utility and dictates the shape of the magnetosphere. Going back through time, much less is known about the degree of axial dipole dominance. Here we use a substantial and diverse set of 3D numerical dynamo simulations and recent observation-based field models to derive a power law relationship between the angular dispersion of virtual geomagnetic poles at the equator and the median axial dipole dominance measured at Earth’s surface. Applying this relation to published estimates of equatorial angular dispersion implies that geomagnetic axial dipole dominance averaged over 107–109 years has remained moderately high and stable through large parts of geological time. This provides an observational constraint to future studies of the geodynamo and palaeomagnetosphere. It also provides some reassurance as to the reliability of palaeogeographical reconstructions provided by palaeomagnetism.


Author(s):  
Julien Cucherousset ◽  
Rémy Lassus ◽  
Carsten Riepe ◽  
Paul Millet ◽  
Frédéric Santoul ◽  
...  

Author(s):  
Ahmad Afuni

AbstractWe establish new local regularity results for the harmonic map and Yang–Mills heat flows on Riemannian manifolds of dimension greater than 2 and 4, respectively, obtaining criteria for the smooth local extensibility of these flows. As a corollary, we obtain new characterisations of singularity formation and use this to obtain a local estimate on the Hausdorff measure of the singular sets of these flows at the first singular time. Finally, we show that smooth blow-ups at rapidly forming singularities of these flows are necessarily nontrivial and admit a positive lower bound on their heat ball energies. These results crucially depend on some local monotonicity formulæ for these flows recently established by Ecker (Calc Var Partial Differ Equ 23(1):67–81, 2005) and the Afuni (Calc Var 555(1):1–14, 2016; Adv Calc Var 12(2):135–156, 2019).


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