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  • 1
    Publication Date: 2023-07-20
    Description: The seismic activity of a planet can be described by the corner magnitude, events larger than which are extremely unlikely, and the seismic moment rate, the long‐term average of annual seismic moment release. Marsquake S1222a proves large enough to be representative of the global activity of Mars and places observational constraints on the moment rate. The magnitude‐frequency distribution of relevant Marsquakes indicates a $b$‐value of 1.06. The moment rate is likely between $1.55\times {10}^{15}\mathrm{N}\mathrm{m}/\mathrm{a}$ and $1.97\times {10}^{18}\mathrm{N}\mathrm{m}/\mathrm{a}$, with a marginal distribution peaking at $4.9\times {10}^{16}\mathrm{N}\mathrm{m}/\mathrm{a}$. Comparing this with pre‐InSight estimations shows that these tended to overestimate the moment rate, and that 30% or more of the tectonic deformation may occur silently, whereas the seismicity is probably restricted to localized centers rather than spread over the entire planet.
    Description: Plain Language Summary: The seismic moment rate is a measure for how fast quakes accumulate deformation of the planet's rigid outer layer, the lithosphere. In the past decades, several models for the deformation rate of Mars were developed either from the traces quakes leave on the surface, or from mathematical models of how quickly the planet's interior cools down and shrinks. The large marsquake that occurred on the 4th of May 2022 now allows a statistical estimation of the deformation accumulated on Mars per year, and thus to confront these models with reality. It turns out that, although there is a considerable overlap, the models published prior to InSight tend to overestimate the seismic moment rate, and hence the ongoing deformation on Mars. Possible explanations are that 30% or more of the deformation occurs silently, that is, without causing quakes, or that not the entire planet is seismically active but only specific regions.
    Description: Key Points: A single large marsquake suffices to constrain the global seismic moment rate. Pre‐InSight estimations tended to overestimate the moment rate. Either a significant part of the ongoing deformation occurs silent, or seismic activity is restricted to some activity centers, or both.
    Description: Eidgenössische Technische Hochschule Zürich http://dx.doi.org/10.13039/501100003006
    Description: National Aeronautics and Space Administration http://dx.doi.org/10.13039/100000104
    Description: UK Space Agency http://dx.doi.org/10.13039/100011690
    Description: Deutsches Zentrum für Luft‐ und Raumfahrt http://dx.doi.org/10.13039/501100002946
    Description: Insight SFI Research Centre for Data Analytics http://dx.doi.org/10.13039/501100021525
    Description: http://dx.doi.org/10.18715/SEIS.INSIGHT.XB_2016
    Description: http://doi.org/10.17189/1517570
    Keywords: ddc:523 ; Mars ; InSight ; seismic moment rate ; S1222a
    Language: English
    Type: doc-type:article
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  • 2
    Electronic Resource
    Electronic Resource
    Amsterdam : Elsevier
    Nuclear Instruments and Methods in Physics Research Section A: 281 (1989), S. 406-409 
    ISSN: 0168-9002
    Source: Elsevier Journal Backfiles on ScienceDirect 1907 - 2002
    Topics: Physics
    Type of Medium: Electronic Resource
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  • 3
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 13 (1974), S. 607-619 
    ISSN: 1573-2878
    Keywords: Nonlinear programming ; minimax approximation ; least-square methods ; function minimization ; penalty function methods
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract A minimax approach to nonlinear programming is presented. The original nonlinear programming problem is formulated as an unconstrained minimax problem. Under reasonable restrictions, it is shown that a point satisfying the necessary conditions for a minimax optimum also satisfies the Kuhn-Tucker necessary conditions for the original problem. A leastpth type of objective function for minimization with extremely large values ofp is proposed to solve the problem. Several numerical examples compare the present approach with the well-known SUMT method of Fiacco and McCormick. In both cases, a recent minimization algorithm by Fletcher is used.
    Type of Medium: Electronic Resource
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  • 4
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 43 (1984), S. 135-142 
    ISSN: 1573-2878
    Keywords: Optimality conditions ; nondifferentiable functions ; exact penalty functions ; first-order conditions ; necessary conditions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract The purpose of this paper is to derive first-order necessary conditions for optimality of a class of nondifferentiable functions. The first-order necessary conditions for optimality for the minimax function and thel 1-function can be considered as special cases of the present method. Furthermore, the optimality conditions obtained are used to obtain threshold values for the controlling parameters of a class of exact penalty functions.
    Type of Medium: Electronic Resource
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  • 5
    Electronic Resource
    Electronic Resource
    Springer
    Journal of optimization theory and applications 11 (1973), S. 556-566 
    ISSN: 1573-2878
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract This paper presents a theoretical discussion of the necessary and sufficient conditions for optimality in generalized nonlinear leastpth approximation problems forp → ∞. In the limit, the conditions for a minimax approximation are derived, as is to be expected. Numerical examples involving the modeling of a linear time-invariant fourth-order system by a second-order model and the design of quarter-wave transmission-line transformers illustrate the results.
    Type of Medium: Electronic Resource
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  • 6
    Publication Date: 2018-05-07
    Description: Objective To assess changes in metabolic risk factors and cancer-related growth factors associated with short-term abstinence from alcohol. Design Prospective, observational study. Setting Single tertiary centre. Participants Healthy subjects were recruited based on intention to: (1) abstain from alcohol for 1 month (abstinence group), or (2) continue to drink alcohol (control group). Inclusion criteria were baseline alcohol consumption 〉64 g/week (men) or 〉48 g/week (women). Exclusion criteria were known liver disease or alcohol dependence. Primary and secondary outcome measures The primary outcome was change in insulin resistance (homeostatic model assessment (HOMA) score). Secondary outcomes were changes in weight, blood pressure (BP), vascular endothelial growth factor (VEGF), epidermal growth factor (EGF) and liver function tests. Primary and secondary outcomes were adjusted for changes in diet, exercise and cigarette smoking. Results The abstinence group comprised 94 participants (mean age 45.5 years, SD ±1.2) and the control group 47 participants (mean age 48.7 years, SD ±1.8). Baseline alcohol consumption in the abstinence group was 258.2 g/week, SD ±9.4, and in the control group 233.8 g, SD ±19.0. Significant reductions from baseline in the abstinence group (all p〈0.001) were found in: HOMA score (–25.9%, IQR –48.6% to +0.3%), systolic BP (–6.6%, IQR –11.8% to 0.0%), diastolic BP (–6.3%, IQR –14.1% to +1.3%), weight (–1.5%, IQR –2.9% to –0.4%), VEGF (–41.8%, IQR –64.9% to –17.9%) and EGF (–73.9%, IQR –86.1% to –36.4%). None of these changes were associated with changes in diet, exercise or cigarette smoking. No significant changes from baseline in primary or secondary outcomes were noted in the control group. Conclusion These findings demonstrate that abstinence from alcohol in moderate–heavy drinkers improves insulin resistance, weight, BP and cancer-related growth factors. These data support an independent association of alcohol consumption with cancer risk, and suggest an increased risk of metabolic diseases such as type 2 diabetes and fatty liver disease.
    Keywords: Open access, Gastroenterology and hepatology
    Electronic ISSN: 2044-6055
    Topics: Medicine
    Published by BMJ Publishing
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  • 7
    Publication Date: 2023-06-29
    Description: The InSight mission collected an astounding seismic dataset from Mars during more than four years of operation until it was retired in 12/2022. The Marsquake Service detected over 1300 seismic events. The largest marsquake reached magnitude 4.6. Two other significant events are distant impacts, with magnitudes M4.0 and 4.2 and crater diameters of 130 and 150 m respectively. We present the current understanding of the Martian seismicity and the different types of events observed on Mars.Low Frequency (LF) family are the largest events and include energy predominantly below 1 Hz. They are similar to teleseismic events on Earth, with clear P and S waves. The epicenter is known for about half of the LF events, fewer have constrained back-azimuth. Seismicity occurs at only a few spots around Mars - a large number of LF events are located at 26–30° at the volcanic Cerberus Fossae region. Two events lie beyond the core shadow and have PP and SS phases. High-frequency (HF) family exhibit energy predominantly at and above the 2.4 Hz local subsurface resonance. HF events generally have magnitudes below M2.5 and originate from central Cerberus Fossae. Likely these are shallow events associated with volcanic dykes. HF events have inter and intra seasonal trends not yet understood. A small number of HF events have higher frequency content, up to 20–30 Hz with amplification on the horizontal components, and are termed Very High Frequency (VF) events. The closest VF events include a distinctive acoustic signal, and remote imaging confirms they are impacts.
    Language: English
    Type: info:eu-repo/semantics/conferenceObject
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  • 8
    Publication Date: 2023-06-29
    Description: For more than four years the Marsquake Service (MQS) detected and catalogued marsquakes from near realtime data recorded by SEIS, InSight’s seismometer deployed on the surface of Mars. Now that the data collection phase of the mission is over, we review the procedures and methods developed by MQS and describe the contents of the catalogue. With only a single station, there are obvious challenges in providing a catalogue for the entire planet. Due to the low SNR of marsquakes and the extreme variability of background noise, impulsive seismic signals are rarely evident and standard automated algorithms cannot be used to identify marsquakes, and manual review was needed. The MQS tools are based on best practice and standards used in seismic networks on Earth, for example we use a single station interactive analysis GUI based on SeisComP. Consistent procedures were developed to distinguish marsquakes from atmospheric noise or other data anomalies, classify events, pick phases, determine distance using a suite of Martian velocity models which has been updated during the mission, determine back azimuth, and locate events. Mars magnitudes are assigned using calibrated magnitude relations.. The final catalogue includes over 1300 marsquakes. Six events are known meteoroid impacts confirmed from visual imaging, their proximity to MQS locations confirms our location methodology. The catalogue contains quakes from within 1 degree of the lander out to 146 degrees distance and magnitudes span from 1 to 4.6. Body waves, crustal phases, surface waves, atmospheric shock waves and even core phases have been observed.
    Language: English
    Type: info:eu-repo/semantics/conferenceObject
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