scholarly journals On the estimation of stationary level of earthquake catalogs

2017 ◽  
pp. 1-18
Author(s):  
Natalia Igorevna Bliankinshtein ◽  
Yurii Nikolaevich Orlov ◽  
Mikhail Vladimirovich Rodkin ◽  
Sergey Leonidovich Fedorov
Keyword(s):  
Earthquake Catalogs ◽  
Stationary Level

scholarly journals Topological Approach to Mathematical Programs with Switching Constraints

2021 ◽  
Author(s):  
Vladimir Shikhman
Keyword(s):  
Stationary Point ◽  
Mountain Pass Theorem ◽  
Strong Stability ◽  
Complete Characterization ◽  
Stationary Points ◽  
Mathematical Programs ◽  
Linear Independence Constraint Qualification ◽  
Point Set ◽  
Stationary Level

AbstractWe study mathematical programs with switching constraints (for short, MPSC) from the topological perspective. Two basic theorems from Morse theory are proved. Outside the W-stationary point set, continuous deformation of lower level sets can be performed. However, when passing a W-stationary level, the topology of the lower level set changes via the attachment of a w-dimensional cell. The dimension w equals the W-index of the nondegenerate W-stationary point. The W-index depends on both the number of negative eigenvalues of the restricted Lagrangian’s Hessian and the number of bi-active switching constraints. As a consequence, we show the mountain pass theorem for MPSC. Additionally, we address the question if the assumption on the nondegeneracy of W-stationary points is too restrictive in the context of MPSC. It turns out that all W-stationary points are generically nondegenerate. Besides, we examine the gap between nondegeneracy and strong stability of W-stationary points. A complete characterization of strong stability for W-stationary points by means of first and second order information of the MPSC defining functions under linear independence constraint qualification is provided. In particular, no bi-active Lagrange multipliers of a strongly stable W-stationary point can vanish.

scholarly journals POLLUTION ABATEMENT AS A SOURCE OF STABILIZATION AND LONG-RUN GROWTH

2016 ◽  
Vol 21 (3) ◽  
pp. 644-676 ◽  
Author(s):  
Theodore Palivos ◽  
Dimitrios Varvarigos
Keyword(s):  
Overlapping Generations ◽  
Pollution Abatement ◽  
Short Term ◽  
Overlapping Generations Model ◽  
Environmental Preservation ◽  
Powerful Source ◽  
Long Run ◽  
Stationary Level ◽  
Active Policy

In a two-period overlapping-generations model with production, we consider the damaging impact of environmental degradation on health and consequently life expectancy. Despite the presence of social constant returns to capital, which would otherwise generate unbounded growth, when pollution is left unabated, the economy cannot achieve such a path. Instead, it converges either to a stationary level of capital per worker or to a cycle in which capital per worker oscillates permanently. The government's involvement in environmental preservation proves crucial for both short-term dynamics and long-term prospects of the economy. Particularly, an active policy of pollution abatement emerges as an important engine of long-run economic growth. Furthermore, by eliminating the occurrence of limit cycles, pollution abatement is also a powerful source of stabilization.

Simulation-Based Seismic Hazard Assessment Using Monte-Carlo Earthquake Catalogs: Application to CyberShake

2021 ◽  
Author(s):  
Sarah Azar ◽  
Mayssa Dabaghi
Keyword(s):  
Monte Carlo ◽  
Seismic Hazard ◽  
Ground Motion ◽  
Seismic Hazard Assessment ◽  
Computational Time ◽  
Earthquake Catalog ◽  
Earthquake Catalogs ◽  
Earthquake Scenarios ◽  
Simulation Based ◽  
Hazard Curves

ABSTRACT The use of numerical simulations in probabilistic seismic hazard analysis (PSHA) has achieved a promising level of reliability in recent years. One example is the CyberShake project, which incorporates physics-based 3D ground-motion simulations within seismic hazard calculations. Nonetheless, considerable computational time and resources are required due to the significant processing requirements imposed by source-based models on one hand, and the large number of seismic sources and possible rupture variations on the other. This article proposes to use a less computationally demanding simulation-based PSHA framework for CyberShake. The framework can accurately represent the seismic hazard at a site, by only considering a subset of all the possible earthquake scenarios, based on a Monte-Carlo simulation procedure that generates earthquake catalogs having a specified duration. In this case, ground motions need only be simulated for the scenarios selected in the earthquake catalog, and hazard calculations are limited to this subset of scenarios. To validate the method and evaluate its accuracy in the CyberShake platform, the proposed framework is applied to three sites in southern California, and hazard calculations are performed for earthquake catalogs with different lengths. The resulting hazard curves are then benchmarked against those obtained by considering the entire set of earthquake scenarios and simulations, as done in CyberShake. Both approaches yield similar estimates of the hazard curves for elastic pseudospectral accelerations and inelastic demands, with errors that depend on the length of the Monte-Carlo catalog. With 200,000 yr catalogs, the errors are consistently smaller than 5% at the 2% probability of exceedance in 50 yr hazard level, using only ∼3% of the entire set of simulations. Both approaches also produce similar disaggregation patterns. The results demonstrate the potential of the proposed approach in a simulation-based PSHA platform like CyberShake and as a ground-motion selection tool for seismic demand analyses.

scholarly journals Pharmacoepidemiological Analysis of the Use of Drugs in Elderly Patients With Hypertension at a Stationary Level

2020 ◽  
Vol 6 (6) ◽  
pp. 108-114
Author(s):  
A. Satybaldieva ◽  
A. Sharaeva
Keyword(s):  
Elderly Patients ◽  
Older People ◽  
Patient Treatment ◽  
Side Reactions ◽  
Beers Criteria ◽  
Great Care ◽  
Case Histories ◽  
Trade Names ◽  
Stationary Level ◽  
Indications For Use

This article analyzes the frequency of prescribing drugs to elderly patients according to Beers criteria, who are in-patient treatment in the therapeutic department. 50 case histories of patients over 65 years of age over a three-month period were analyzed: from January to March 2019. The appointment sheets were analyzed using the Beers list to identify the destination of potentially not recommended drugs. According to the results of the study, it was revealed that on average 8±2 drugs were prescribed to one patient at a time, all drugs were prescribed under trade names, some of them were prescribed without indications for use. In 14 patients (28.4%), 25 non-recommended drugs were identified in different categories according to Beers criteria, where 13.6 potentially identified recommended drugs were detected in 13.6% of patients, and 5 potentially not recommended drugs were prescribed in 5.7% of patients, the use of which should be avoided in older people with certain diseases, and in 9.1% of patients 8 drugs were identified that should be used in older people with great care. All of the above allowed us to conclude that in the treatment of elderly patients, potentially not recommended medications are very often prescribed, because of which there is a risk of developing unwanted side reactions.

scholarly journals Влияние связующего и красителей на механизм туннельной люминесепнции микрокристаллов AgBr(I)

2020 ◽  
Vol 128 (8) ◽  
pp. 1100
Author(s):  
А.В. Тюрин ◽  
С.А. Жуков ◽  
А.Ю. Ахмеров
Keyword(s):  
Silver Ions ◽  
Point Of View ◽  
Exciting Light ◽  
Absorption Region ◽  
Recombination Processes ◽  
Tunneling Recombination ◽  
Recombination Centers ◽  
Kinetics Of ◽  
Stationary Level ◽  
Ir Light

It was previously found that in emulsion microcrystals (EMC) AgBr (I) (with silver content corresponding to pBr 4), the centers responsible for tunneling recombination at T = 77 K, with a maximum of luminescence at λmax~ 560 nm when excited from light from the absorption region of AgBr (I) EMCs (λ ~ 450 nm) as a result of temperature quenching, they undergo structural transformation into centers, which, under the same excitation, provide tunneling recombination with a wavelength depending on the binder: for EMC AgBr (I) obtained in water ‒ λmax~ 720 nm, in gelatin ‒ λmax~ 750 nm. In the present work, similar structural transformations of the centers determining tunneling recombination with λmax~ 560 nm, to the centers with luminescence on λmax~ 720 nm were implemented for AgBr (I) EMCs synthesized in polyvinyl alcohol (PVA) with an increase in the content of silver ions in the emulsion (from pBr 4 to 7). Responsible for this transformation, as follows from the obtained results, are mobile interstitial silver ions Agi +, which transform these tunnel recombination centers. The effect of the binder on the recombination processes in EMC AgBr (I) is manifested in changes in the kinetics of the increase in luminescence with λmax~ 560 nm upon excitation by light from the absorption region of AgBr (I) EMC (λ ~ 450 nm) to a stationary level. For a binder whose molecules do not interact with Ag centers Agin+, n = 1, 2 (water, PVA at pBr 4), increase in luminescence with λmax~ 560 nm occurs monotonically from zero to the maximum stationary level. For a binder (in our case, G is gelatin), whose molecules with centers Agin+ (n = 1,2) form complexes (Agin0G+), the kinetics of the increase in luminescence in EMC AgBr (I) to a stationary level at λmax~ 560 nm at pBr 4 is characterized by the presence of “flash flare”. Adsorption on the surface of EMC AgBr (I) (in PVA at pBr 7) of the dye is manifested as follows: if, before the introduction of the dye, the kinetics of the increase in luminescence with λmax~ 560 nm, when excited from light from the absorption region of AgBr (I) EMC (λ ~ 450 nm) to a stationary level, “flare-up” appeared, then after the introduction of the dye, the luminescence increases with λmax~ 560 nm occurs monotonically from zero to the maximum stationary level. Studies of the “flash” of luminescence stimulated by infrared (IR) light, after the termination of the action of exciting light, showed that when the kinetics of the increase in luminescence with λmax~ 560 nm to the stationary level, it exhibits "flare-up", a "flash" stimulated by IR light is not observed at λ ~ 560 nm. In the absence of “flash flare”, a “flash” at λ ~ 560 nm is observed. From our point of view, the results obtained indicate that “flare-up burning” is due to the presence of deep centers of electron localization with a small capture cross section, and not a photochemical reaction stimulated by exciting light. Key words: AgBr (I) microcrystals, emulsions, glow centers, luminescence flare-up.

scholarly journals Financial Development and Economic Growth: Time Series Analysis of Economy of Pakistan

2018 ◽  
Vol 5 (2) ◽  
pp. 59
Author(s):  
Muhammad Shoukat Malik ◽  
Raisham Hayee ◽  
Raima Adeel
Keyword(s):  
Economic Growth ◽  
Time Series ◽  
Time Series Analysis ◽  
Causal Relationship ◽  
Financial Development ◽  
Granger Causality Test ◽  
Growth Time ◽  
Annual Data ◽  
Causality Test ◽  
Stationary Level

This study aims in understanding the causal relationship between financial development and economic growth. This research used annual data and applied dickey fuller test and granger causality test in order to understand stationary level and causation in variables. The results of this test give support to first hypothesis that financial development causes economic growth. While no evidence was found on the support of our second hypothesis i.e. economic growth is causing financial development.

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