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APPROXIMATING THE STATIONARY BELLMAN EQUATION BY HIERARCHICAL TENSOR PRODUCTS

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Journal of Computational Mathematics 2024年第3期42卷 638-661页

作者： mathias Oster Leon Sallandt Reinhold Schneider Technische Universität Berlin Strasse des 17.Juni 13510623 BerlinGermany

We treat infinite horizon optimal control problems by solving the associated stationary Bellman equation numerically to compute the value function and an optimal feedback *** dynamical systems under consideration are spatial discretizations of non linear parabolic partial differential equations(PDE),which means that the Bellman equation suffers from the curse of *** non linearity is handled by the Policy Iteration algorithm,where the problem is reduced to a sequence of linear equations,which remain the computational bottleneck due to their high *** reformulate the linearized Bellman equations via the Koopman operator into an operator equation,that is solved using a minimal residual *** the Koopman operator we identify a preconditioner for operator equation,which deems essential in our numerical *** overcome computational infeasability we use low rank hierarchical tensor product approximation/tree-based tensor formats,in particular tensor trains(TT tensors)and multi-polynomials,together with high-dimensional quadrature,*** controlling a destabilized version of viscous Burgers and a diffusion equation with unstable reaction term numerical evidence is given.

关键词： Feedback control Dynamic programming Hamilton-Jacobi-Bellman Tensor product approximation Variational Monte-Carlo

Electroactivity of the magnetotactic bacteria Magnetospirillum magneticum AMB-1 and Magnetospirillum gryphiswaldense MSR-1

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Frontiers of Environmental Science & Engineering 2024年第4期18卷 103-110页

作者： mathias Fessler Qingxian Su Marlene Mark Jensen Yifeng Zhang Department of Environmental and Resource Engineering Technical University of DenmarkCopenhagenDK-2800Denmark

Magnetotactic bacteria reside in sediments and stratified water *** are named after their ability to synthesize internal magnetic particles that allow them to align and swim along the Earth’s magnetic field ***,we show that two magnetotactic species,Magnetospirillum magneticum strain AMB-1 and Magnetospirillum gryphiswaldense strain MSR-1,are *** *** and *** were able to generate current in microbial fuel cells with maximum power densities of 27 and 11μW/m^(2),*** the presence of the electron shuttle resazurin both species were able to reduce the crystalline iron oxide hematite(Fe_(2)O_(3)).In addition,*** could reduce poorly crystalline iron oxide(FeOOH).Our study adds *** and *** to the growing list of known electroactive bacteria,and implies that electroactivity might be common for bacteria within the Magnetospirillum genus.

关键词： Magnetotactic bacteria Magnetospirillum magneticum Magnetospirillum gryphiswaldense Extracellular electron transfer Microbial fuel cells

Estimation of Daily Global Solar Radiation with Different Sunshine-Based Models for Some Burundian Stations

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Energy and Power Engineering 2024年第1期16卷 1-20页

作者： mathias Bashahu Gratien Ndacayisaba Department of Physics and Technology University of Burundi Bujumbura Burundi Department of Physics Ecole Normale Supérieure Bujumbura Burundi

Sunshine duration (S) based empirical equations have been employed in this study to estimate the daily global solar radiation on a horizontal surface (G) for six meteorological stations in Burundi. Those equations include the Ångström-Prescott linear model and four amongst its derivatives, i.e. logarithmic, exponential, power and quadratic functions. Monthly mean values of daily global solar radiation and sunshine duration data for a period of 20 to 23 years, from the Geographical Institute of Burundi (IGEBU), have been used. For any of the six stations, ten single or double linear regressions have been developed from the above-said five functions, to relate in terms of monthly mean values, the daily clearness index () to each of the next two kinds of relative sunshine duration (RSD): and . In those ratios, G0, S0 and stand for the extraterrestrial daily solar radiation on a horizontal surface, the day length and the modified day length taking into account the natural site’s horizon, respectively. According to the calculated mean values of the clearness index and the RSD, each station experiences a high number of fairly clear (or partially cloudy) days. Estimated values of the dependent variable (y) in each developed linear regression, have been compared to measured values in terms of the coefficients of correlation (R) and of determination (R2), the mean bias error (MBE), the root mean square error (RMSE) and the t-statistics. Mean values of these statistical indicators have been used to rank, according to decreasing performance level, firstly the ten developed equations per station on account of the overall six stations, secondly the six stations on account of the overall ten equations. Nevertheless, the obtained values of those indicators lay in the next ranges for all the developed sixty equations:;;;, with . These results lead to assert that any of the sixty developed linear regressions (and thus equations in terms of and ), fit

关键词： Clearness Index Two Kinds of Relative Sunshine Duration Ångström-Prescott Linear Model and Four Derivatives Statistical Tests Six Burundian Stations

Leisure-time physical activity and all-cause mortality and cardiovascular disease in adults with type 2 diabetes:Cross-country comparison of cohort studies

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Journal of Sport and Health Science 2024年第2期13卷 212-221页

作者： Jakob Tarp Mengyun Luo Miguel Adriano Sanchez-Lastra Knut Eirik Dalene Borja del Pozo Cruz mathias Ried-Larsen Reimar Wernich Thomsen Ulf Ekelund Ding Ding Department of Clinical Epidemiology Aarhus University&Aarhus University HospitalAarhus 8200Denmark Prevention Research Collaboration Sydney School of Public HealthThe University of SydneyCamperdownNSW 2006Australia Charles Perkins Centre the University of SydneyCamperdownNSW 2050Australia Department of Sports Medicine Norwegian School of Sports SciencesOslo 0806Norway Department of Special Didactics Faculty of Education and Sports SciencesUniversity of VigoPontevedra 36005Spain Well-Move Research Group Galicia Sur Health Research Institute(IIS Galicia Sur)SERGAS-UVIGOVigo 36213Spain Department of Chronic Diseases Norwegian Institute of Public HealthOslo 0473Norway Centre for Active and Healthy Ageing Department of Sports Science and Clinical BiomechanicsUniversity of Southern DenmarkOdense 5230Denmark Faculty of Education University of CadizCadiz 11519Spain Biomedical Research and Innovation Institute of Cadiz(INiBICA)Research Unit Puerta del Mar University HospitalUniversity of CadizCadiz 11009Spain The Centre of Inflammation and Metabolism&the Centre for Physical Activity Research RigshospitaletUniversity of CopenhagenCopenhagen 2100Denmark Department of Sports Science and Clinical Biomechanics University of Southern DenmarkOdense 5230Denmark

Purpose:This study aimed to quantify the dose-response association and the minimal effective dose of leisure-time physical activity(PA)to prevent mortality and cardiovascular disease in adults with type 2 ***:Cross-country comparison of 2 prospective cohort studies including 14,913 and 17,457 population-based adults with type 2 diabetes from the UK and *** leisure-time PA was self-reported and categorized by metabolic equivalent hours per week(MET-h/week)according to World Health Organization recommendations:none,below recommendation(>0-7.49 MET-h/week);at recommended level(7.5-14.9 MET-h/week);above recommendation(>15 MET-h/week).Mortality and cardiovascular disease data were obtained from national ***:During a median follow-up of 12.4 and 9.7 years,in the UK and China cohorts,repectively,higher levels of leisure-time PA were inversely associated with all-cause(1571 and 2351 events)and cardiovascular mortality(392 and 1060 events),mostly consistent with a linear dose-response *** below,at,and above recommendations,compared with no activity,yielded all-cause mortality hazard ratios of0.94(95%confidence interval(95%CI):0.79-1.12),0.90(95%CI:0.74-1.10),and 0.85(95%CI:0.70-1.02)in British adults and 0.87(95%CI:0.68-1.10),0.88(95%CI:0.74-1.03),and 0.77(95%CI:0.70-0.85)in Chinese *** with cardiovascular mortality were more pronounced in British adults(0.80(95%CI:0.58-1.11),0.75(95%CI:0.52-1.09),and 0.69(95%CI:0.48-0.97))but less pronounced in Chinese adults(1.06(95%CI:0.76-1.47),1.01(95%CI:0.80-1.28),and 0.79(95%CI:0.69-0.92)).PA at recommended levels was not associated with lower rates of major adverse cardiovascular events(2345 and 4458 events).Conclusion:Leisure-time PA at the recommended levels was not convincingly associated with lower mortality and had no association with risk of major adverse cardiovascular events in British or Chinese adults with type 2 ***-time PA above current recom

关键词： Complications Epidemiology Exercise Prevention

Distortions in focusing laser pulses due to spatio-temporal couplings:an analytic description

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High Power Laser Science and Engineering 2024年第3期12卷 20-40页

作者： Klaus Steiniger Fabia Dietrich Daniel Albach Michael Bussmann Arie Irman Markus Loeser Richard Pausch Thomas Püschel Roland Sauerbrey Susanne Schöbel Ulrich Schramm mathias Siebold Karl Zeil Alexander Debus Helmholtz-Zentrum Dresden-Rossendorf DresdenGermany CASUS-Center for Advanced Systems Understanding GörlitzGermany Technische Universität Dresden DresdenGermany

In ultra-short laser pulses,small changes in dispersion properties before the final focusing mirror can lead to severe pulse distortions around the focus and therefore to very different pulse properties at the point of laser±matter interaction,yielding unexpected interaction *** mapping between far-and near-field laser properties intricately depends on the spatial and angular dispersion properties as well as the focal *** a focused Gaussian laser pulse under the influence of angular,spatial and group-delay dispersion,we derive analytical expressions for its pulse-front tilt,duration and width from a fully analytic expression for its electric field in the time±space domain obtained with scalar diffraction *** expression is not only valid in and near the focus but also along the entire propagation distance from the focusing mirror to the *** relating angular,spatial and group-delay dispersion before focusing at an off-axis parabola,where they are well measurable,to the respective values in the pulse’s focus are obtained by a ray tracing ***,these formulas are used to show in example setups that the pulse-front tilts of lasers with small initial dispersion can become several tens of degrees larger in the vicinity of the focus while being small directly in the *** formulas derived here provide the analytical foundation for observations previously made in numerical *** numerically simulating Gaussian pulse propagation and measuring properties of the pulse at distances several Rayleigh lengths off the focus,we verify the analytic expressions.

关键词： group-delay dispersion pulse-front tilt spatio-temporal couplings third-order dispersion ultra-short laser pulses

31 Plant Species against Blood Feeding and Disease Vectors Insects: Beyond Anti-Insect Properties, Unvalued Opportunities and Challenges for Health and Sustainability

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Pharmacology & Pharmacy 2024年第5期15卷 167-206页

作者： Prudence Bararunyeretse Jean Claude Niyokwizera Esperance Gateretse mathias Hitimana Research Center for Natural and Environmental Sciences (CRSNE) University of Burundi Bujumbura Burundi Institutes of Agronomic Sciences of Burundi (ISABU) Bujumbura Burundi East African Nutritional Sciences Institute (EANSI) University of Burundi Bujumbura Burundi

Plants with bioactive properties are greatly useful in preventing and controlling blood-sucking and disease-vector invertebrates, particularly in developing countries and low-income communities. Their application is a promising alternative to synthetic compounds whose use remains a health, environmental, and economic challenge. However, many are still unknown and unvalued, while others are becoming ignored and threatened. The main objective of this ethnobotanical study is to identify and characterize indigenous and locally grown plants against blood-sucking and disease-vector insects. Salient opportunities and challenges of using these plants are documented and discussed. Semi-structured interviews, using a prepared questionnaire, were conducted with 228 informants. The consensus index (CI) was calculated to analyze the reliability of the collected information. The identified 31 anti-insect plant species belong to 20 botanical families, four morphological categories, and six habitat types. They can be categorized as insecticidal plants (42% of the total), insect repellent (42% of the total), and both insecticidal and insect repellent (16% of the total). More than 54% of these are still abundant in the study area, while about 35.5% have become rare and difficultly accessible. Based on the numerical importance of related anti-insect plant species, the seven targeted blood-sucking insects range in the following decreasing order: Jiggers (16 species) > Fire Ants (9 species) > Flies (8 plants) > Mosquitoes (4 species) > Fleas (2 species) > Bedbugs (1 species) > lice (0 species). The three most commonly used plants, with the highest confirmation indices, are Tetradenia riparia (ICs = 0.712), Eucalyptus globulus subsp. maidenii (ICs = 0.302), and Solanum aculeastrum (ICs = 0.288). The antimicrobial role of many locally grown anti-insect plants and the multiple other associated valorization possibilities are ignored by most informants. Domesticating, propagating, protecting

关键词： Blood-Feeding Insects Anti-Insect Plants Biopesticides Sustainability Burundi

Unsuccessful tuberculosis treatment outcomes across Brazil's geographical landscape before and during the COVID-19 pandemic:are we truly advancing toward the sustainable development/end TB goal?

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Infectious Diseases of Poverty 2024年第1期13卷 105-106页

作者： Reginaldo Bazon Vaz Tavares Thais Zamboni Berra Yan mathias Alves Marcela Antunes Paschoal Popolin Antonio Carlos Vieira Ramos Ariela Fehr Tartaro Clara Ferreira de Souza Ricardo Alexandre Arcencic Department of Maternal-Infant and Public Health Nursing University of São Paulo at Ribeirão Preto College of Nursing (USP/RPCN) Ribeirão Preto São Paulo Brazil Federal University of Tocantins Palmas Campus (FUT) Palmas Brazil State University of Minas Gerais Passos Campus (SUMG) Passos Brazil

Background Tuberculosis is one of the most significant infectious diseases for global public *** reallocation of healthcare resources and the restrictions imposed by the COVID-19 pandemic have hindered access to TB diag-nosis and *** in unfavorable outcomes of the disease have been observed in *** objective of this study was to analyze the spatial distribution of unfavorable TB treatment outcomes in Brazil before and during the *** An ecological study with spatial analysis was conducted with all 5569 municipalities in *** reported cases of tuberculosis between January 2010 and December 2021,as well as reported cases of COVID-19 from Febru-ary 2020 to December 2021,were *** outcomes studied encompass loss to follow-up,drug-resistant tuber-culosis,and *** Getis Ord GI*technique was employed to assess spatial association,and the Kernel density estimator was used to identify areas with concentrated increases or decreases in *** Local Moran's/was used to examine the spatial association between outcomes and cOVID-19 *** study was approved by the Research Ethics Committee of Ribeirao Preto Nursing School,University of Sao *** There were 134,394 cases of loss to follow-up,10,270 cases of drug resistance,and 37,863 *** of high and low values were identified for all three outcomes,indicating significant changes in the spatial distribu-tion *** in concentrations were observed for lost to follow-up cases in the Southeast,while reductions occurred in the Northeast,South,and ***-resistant tuberculosis experienced an increase in the Southern and Southeastern regions and a decrease in the Northeast and ***-related deaths showed notable concentra-tions in the Midwest,Northeast,South,and *** was an increase in high occurrence clusters for deaths after 2020 and 2021 in the *** The pandemic has brought additional chal

关键词： Tuberculosis COVID-19 Spatial analysis Ecological studies

Surgical approach affecting long-term urinary continence status after robot-assisted laparoscopic prostatectomy prospectively evaluated using self-reported functional status(Expanded Prostate Cancer Index Composite,EPIC-26)

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The Role of Music Therapy in Supporting Intellectually Disabled Youth in Senegal

当代泌尿学（英文） 2024年第1期18卷 61-65页

作者： mathias Reichert Ame Strauß Joost Wilhelm Voß Hans Christoph von Knobloch Hannah Maria Neuenhofer Annemarie Uhlig Lutz Trojan Mirjam Naomi Mohr Department of Urology University Medical CenterGoettingenGermany Department of Pediatrics University HospitalBonnGermany

Purpose:The aim of the study was to examine the influence of the surgical approach for robot-assisted laparoscopic prostatectomy(RALP)on long-term urinary continence status in the era of self-reported functional status measures using the Expanded Prostate Can-cer Index Composite 26.Materials and methods:This is a prospective evaluation of 232 patients undergoing RALP between September,2019 and September,*** continence status and postoperative incontinence(pad usage)were evaluated 12 months after RALP using Expanded Prostate Cancer Index Composite 26 *** were categorized according to their surgical approach and outcome into the following groups:successful nerve sparing(NS),primarily without nerve sparing(***),and no nerve sparing by secondary resection(NNS by SR).The median levels of their questionnaire outcomes were evaluated and compared using the Wilcoxon rank sum test with continuity correction.Results:Urinary continence status 12 months after RALP differed significantly between the NS and ***(p=0.0071)and the NS and NNS by SR(p=0.0076)*** was no significant difference between the *** and NNS by SR(p=0.53)*** usage 12 months after RALP had no significant difference with regard to SR of the neurovascular bundle(p=0.14).Conclusions:Patient-reported outcomes of long-term urinary continence status seem to show no difference in postoperative conti-nence,regardless of whether a non-nerve-sparing result was planned or reached through ***,preservation of neurovascular bundle seems to lead to better long-term continence rates.

关键词： Expanded Prostate Cancer Index Composite 26 Nerve sparing Prostate cancer Robot-assisted radical prostatectomy Surgical approach Urinary incontinence

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Health 2024年第5期16卷 521-534页

作者： Raymond Birane Youm Kadidiatou Diarra mathias Pouye Jean Augustin Diégane Tine National School of Arts (ENA) Dakar Senegal EDSEV in Cheikh Anta Diop University (UCAD) Dakar Senegal ISED in Cheikh Anta Diop University (UCAD) Dakar Senegal

Introduction: Music therapy is a practice for helping and supporting people with intellectual and relational difficulties. This study illustrated the benefits of music therapy for young people living with intellectual disabilities (YLID) in an African context. Methodology: This study investigated six young individuals with intellectual disabilities who had undergone three years of music therapy. They were participants in the inclusive non-academic training program at the National School of Arts in Dakar from 2017 to 2019. Data collection utilized individual interviews with the youths, evaluation grids from teachers and psychiatrists. Guardians provided informed consent along with the assent of the young participants. Results: The six young were aged between 18 and 30 years old, with an average age of 24.6 years. Four of the YLID were male. Three young people with intellectual disabilities had delayed psychomotor development. Observations revealed the beneficial influence of music therapy on the health and well-being of young individuals. Music played a role in alleviating stress and anxiety among youth with intellectual disabilities (YLID), enhancing their mood and mental health. It assisted in navigating challenging situations and heightened alertness among YLID. Additionally, music therapy contributed to improvements in dyslexia, fine and gross motor skills, and memory development among intellectually disabled youth, ultimately facilitating their integration into society. Conclusion: In light of our results, music therapy makes a major contribution to the empowerment of YLID. Engaging in musical activities helps young people connect with others through instrumental expression and a sense of accomplishment. By facilitating music therapy, it becomes possible to combat discrimination and stigmatization, thus promoting the social inclusion of intellectually disabled youth. Therefore, it is important to promote music therapy in Senegal to meet the needs of YLID.

关键词： Music Therapy Young Intellectual Disabilities Senegal