How Prime Numbers Are Interconnected and Built with Two Equations: Addition and Subtraction Rules the Function (6µ)

Are all prime numbers linked by four simple functions? Can we predict when a prime will appear in a sequence of primes? If we classify primes into two groups, Group 1 for all primes that appear before ζ (such that , for instance 5, ), an even number divisible by 3 and 2, and Group 2 for all primes that are after ζ (such that , for instance 7), then we find a simple function: for each prime in each group, , where n is any natural number. If we start a sequence of primes with 5 for Group 1 and 7 for Group 2, we can attribute a μ value for each prime. The μ value can be attributed to every prime greater than 7. Thus for Group 1, and . Using this formula, all the primes appear for , where μ is any natural number.

The Contradiction between “Soul” and “Body” in André Gide’s Pastoral Symphony

André Gide is one of the most important writers in the history of French literature in the 20th century.His works are highly distinctive:on the one hand,there is strong coherence and beautiful language between his works,which gives them a strong musicality.On the other hand,his works delve deeper into the struggle between the“soul”and the“body”under the oppression of“religious concepts”,which is most evident in one of his representative works:Pastoral Symphony.This article will analyze and explore the contradiction between“soul”and“body”reflected in the work of“Pastoral Symphony”from three aspects:“modernity”,“aesthetics”,and“characters’prototypes”.

Prevalence and Factors Associated with Anemia among People Living with Human Immunodeficiency Virus Followed at the Outpatient Treatment Centre of Panzi General Referral Hospital in Eastern Democratic Republic of Congo

Introduction: Anemia in people living with human immunodeficiency virus (PLHIV) is a major health problem. Although anemia often responds to combination antiretroviral therapy, many patients remain anemic despite treatment, and such persistent anemia continues to adversely affect prognosis, regardless of drug response. Scientists have identified some of the factors involved. However, the mechanisms put in place have not been effective in overcoming them. Examples include the withdrawal of zidovudine from antiretroviral treatment lines, iron and folate supplementation, etc. Anemia is still a major concern in HIV-positive patients. The aim of this study is to assess the prevalence of anemia and its associated factors among PLHIV followed up at the outpatient treatment centre (CTA) of the Panzi General Reference Hospital (HGR) in South Kivu, Democratic Republic of Congo (DRC). Method: We conducted a cross-sectional, comparative study of 276 HIV-infected adults on antiretroviral therapy (ART) followed up at the CTA of Panzi HGR. Socio-demographic and nutritional parameters were collected using a survey questionnaire, and clinical assessment and nutritional status were performed at the centre. Hemoglobin, seric albumin and viral load determinations were performed at the HGRP laboratory. We constructed univariate and multivariate logistic regression models to assess factors associated with anemia in people living with HIV/AIDS. Results: We found a prevalence of anemia of 39.4%, including 4.1% severe anemia, 17.7% moderate anemia and 17.5% mild anemia. After multivariate adjustment, the factors associated with anemia in our PLHIV were: moderate undernutrition (aOR = 1.26;95% CI: 1.50 - 4.20;p = 0.001), severe undernutrition (aOR = 115.4;95% CI: 2.04 - 164.52;p = 0.021), hypoalbuminemia (aOR = 2.11;95% CI: 1.87 - 5.10;p = 0.004) and the lower degree of dietary diversity (aOR = 1.56;95% CI: 1.10 - 4.32;p = 0.034). Conclusion: The prevalence of anemia in PLHIV on ART is high. This greatly affects quality of life and increases the need for care. Early detection tools and management algorithms are essential in the follow-up of PLWHIV.

考虑极化效应的冻土电导率测试频率研究

为探究测试频率对土体电导率的影响,针对多种非饱和土样开展不同测试频率及正负温度下的电导率测试试验。基于测试结果,给出不同土性及温度下的最佳测试频率。研究结果表明:正温下砂土电导率对低于10 kHz的测试频率不敏感;当测试频率大于10 kHz时,砂土电导率随测试频率增大而增大;粉土对低于100 kHz的测试频率不敏感;负温下测试频率对土体电导率的影响较正温区间显著,粉土和砂土的电导率在不同的极化区域随测试频率增大而快速增大,且增大的测试频率域随温度降低逐渐向低频扩展;粗粒土较细粒土对测试频率更敏感。

Ionic Liquid Engineering in Perovskite Photovoltaics

Over the past decade,perovskite photovoltaics have approached other currently available technologies and proven to be the most prospective type of solar cells.Although the many-sided research in this very active field has generated consistent results with regard to their undisputed consistently increasing power conversion efficiency,it also produced several rather contradictory opinions.Among other important details,debate surrounding their proneness to surface degradation and poor mechanical robustness,as well as the environmental footprint of this materials class,remains a moot point.The application of ionic liquids appears as one of the potential remedies to some of these challenges due to their high conductivity,the opportunities for chemical"tuning"of the structure,and relatively lower environmental footprint.This article provides an overview,classification,and applications of ionic liquids in perovskite solar cells.We summarize the use and role of ionic liquids as versatile additives,solvents,and modifiers in perovskite precursor solution,in charge transport layer,and in interfacial and stability engineering.Finally,challenges and the future prospects for the design and/or selection of ionic liquids with a specific profile that meets the requirements for next-generation highly efficient and stable perovskite solar cells are proposed.

Machine Learning With Data Assimilation and Uncertainty Quantification for Dynamical Systems:A Review

Data assimilation(DA)and uncertainty quantification(UQ)are extensively used in analysing and reducing error propagation in high-dimensional spatial-temporal dynamics.Typical applications span from computational fluid dynamics(CFD)to geoscience and climate systems.Recently,much effort has been given in combining DA,UQ and machine learning(ML)techniques.These research efforts seek to address some critical challenges in high-dimensional dynamical systems,including but not limited to dynamical system identification,reduced order surrogate modelling,error covariance specification and model error correction.A large number of developed techniques and methodologies exhibit a broad applicability across numerous domains,resulting in the necessity for a comprehensive guide.This paper provides the first overview of state-of-the-art researches in this interdisciplinary field,covering a wide range of applications.This review is aimed at ML scientists who attempt to apply DA and UQ techniques to improve the accuracy and the interpretability of their models,but also at DA and UQ experts who intend to integrate cutting-edge ML approaches to their systems.Therefore,this article has a special focus on how ML methods can overcome the existing limits of DA and UQ,and vice versa.Some exciting perspectives of this rapidly developing research field are also discussed.Index Terms-Data assimilation(DA),deep learning,machine learning(ML),reduced-order-modelling,uncertainty quantification(UQ).

The CALVIH Study: How to Handle Renal Stones in Persons Living with HIV1?

Background: Renal stone (RS) is a highly prevalent disease in our societies and is mostly secondary to lifestyle habits. HIV1 patients often experience RS, although specific risk factors are not known. Despite other priorities, comprehensive work-up should be offered to avoid recurrences (50% risk in 5 years). Purpose and Methods: The aim of the study is to describe how to handle RS in persons living with HIV1 and to suggest how the understanding of mechanisms involved in stone composition helps customize therapy and prevent recurrences. We prospectively performed a complete work-up in a cohort of 23 prevalent HIV1 patients referred to our highly-specialized center by HIV physicians. Results: Inclusion was secondary to a colic episode with spontaneous elimination of the stone (74%), bilateral (67%), not obstructive (67%);53% underwent urologic interventions. Mean age was 34 ± 16 years old and BMI was 22.5 ± 3 (one-third with metabolic syndrome). History of RS showed only one episode (22%), >one (74%) or >4 (4%). Estimated GFR was 78 ± 24 ml/min/1.73m2 (mean Cr 101 ± 24 μmol/L), and 5 were classified CKD stage 3. Stone analysis was only available for 7 patients and in 6/7 patients, and calcium metabolism was fully explored (2 absorptive hypercalciuria, 4 renal primitive hypercalciuria). Retained mechanism for RS was uric acid dependent for one, oxalic acid dependent for three and calcium dependent for three. Very few patients were exposed to known environmental risk factors for RS, 3 were/had been exposed to darunavir and 3 to atazanavir, 1 to efavirenz, 1 to acetazolamide, 2 to allopurinol. Conclusion: RS in HIV1 patients is mostly not related to ARV. Understanding of renal stone composition is critical to prevent recurrences by offering specific dietetic counselling and therapy. The role of HIV physicians is important due to the high prevalence of RS in the context of HIV disease.

Diagnosis Delay and Assessment of the Quality of Life of Patients with Endometriosis Using the Endometriosis Health Profile 5 Questionnaire in a Sub-Saharan Population

Context: Endometriosis is a pathology that directly affects the daily lives of women with frequent impairment of their quality of life. In our environment, medical, socio-cultural, financial factors and factors related to the organization of the health care system greatly delay its diagnosis. The objectives of the present study were to determine the diagnosis delay and to assess the quality of life before surgery of women with endometriosis using the specific Endometriosis Health Profile 5 (EHP-5) questionnaire. Methods: We carried out a descriptive, observational, retrospective study in 8 medical centers in the City of Kinshasa, from January 2019 to October 2022. A total of 80 women with endometriosis confirmed by laparoscopy (16 diagnostic and 64 operative laparoscopies) and histopathology were interviewed. We used the revised American Society for Reproductive Medicine (rASMR) classification, the Endometriosis Fertility Index (EFI) score was calculated for infertile women and the EHP-5 questionnaire to assess quality of life. Our data was entered and analyzed using Statistical Analysis Software 16.1 (STATA 16.1). Results: Diagnosis delay of endometriosis was on average 12 ± 4.3 years. The overall mean EHP-5 score of all patients showed a severe deterioration in quality of life (604 ± 235). A negative relationship was observed between the age of the patient, the diagnostic delay, and the alteration of the quality of life in patients over 36 years old and those with about 11 years of diagnostic delay presenting the slight alteration. Patients with a high social level had very severe quality impairment. Women on hormonal treatment, those with a history of pregnancy, childbirth, miscarriage and abortion had a slight and significant deterioration in quality of life (p 0.05). Conclusion: Despite some limitations, our preliminary study highlights that in sub-Saharan Africa, the diagnosis of endometriosis is delayed and associated with a severe alteration in quality of life. Moreover, diagnosis of endometriosis seems to be restricted to women with high social levels. Therefore, further efforts are required to develop a health policy to decrease delay for diagnosis with potential benefits on symptoms, quality of life, fertility while limiting stigma and psychological effects of this debilitating pathology.

Serum Vitamin E Reference Intervals in a Black Congolese Population of Kinshasa

Context: Vitamin E is a powerful antioxidant and plays an important role in human reproduction. However, micronutrient deficiency is a major public health problem, particularly in developing countries. This study aimed to establish reference intervals (RIs) for vitamin E in black Congolese people of childbearing age using an ELISA method to provide a reference for clinically assessing vitamin E status. Methods: A total of 127 healthy people between the ages of 20 and 42 who underwent check-ups were randomly selected for the study. ELISA method measured the level of vitamin E. The effect of gender on vitamin E level was assessed, and RI was established using a parametric approach. Results: Women showed significantly higher levels of vitamin E than men (p = 0.01). The RI of vitamin E in people of childbearing age was 3.71 to 13.72, 4.52 to 14.64, and 4.17 to 13.52 mg/L, respectively, for the whole population, women and men. Conclusion: Using an ELISA method, this study established RI for vitamin E in the black Congolese population of childbearing age. We also found that women had significantly higher vitamin E levels than men. The results could provide a scientific basis for interpreting vitamin status in people of childbearing age in our setting.

Case Study of Coastal Fog Events in Senegal Using LIDAR Ceilometer

This study aims to examine the atmospheric conditions characterising fog phenomena on the Senegalese coast focusing on two specific instances that occurred on April 3 and April 30,2023.These events were detected by the LIDAR Ceilometer installed at LPAOSF/ESP/UCAD and confirmed on the METARs of the meteorological stations at Dakar and Diass airports.The LIDAR’s backscatter signal showed that the fog of April 3 started around midnight with a vertical extension at 100 m altitude and dissipated around 10 a.m.The April 30 event characterized by a good vertical extension from the surface up to 300 m above sea level,was triggered just after 2 a.m.and lasted around 3 hours.The results showed that a decrease in temperature,accompanied by an increase in humidity and light wind,is favorable for the triggering and persistence of fog.Sea Level Pressure(SLP)anomaly fields show two distinct configurations.The April 3 event was characterized by a zonal dipole of SLP anomalies between the Sahara and the northern Senegalese coast,while the April 30 event was characterized by a meridional dipole between the Sahara and the Gulf of Guinea area as far as the equatorial Atlantic.A weakening of the pressure around the study area was observed in both cases,allowing moisture advection to favor the onset of fog.The hovmoller diagrams of relative humidity and wind show that a good vertical extension of humidity associated with a westerly wind in the lower layers plays an important role in the formation and persistence of fog.The presence of dry air associated with a weak easterly wind in the middle layers could explain the low vertical extension of the fog on April 3.A strong wind in the lower layers would be responsible for the premature dissipation of the April 30 fog.

Challenges of x-ray spectroscopy in investigations of matter under extreme conditions

Advanced X-ray spectroscopic methods provide unique and critical data to study matter under extreme environmental conditions induced by high-intensity and high-energy lasers.The aim of this paper is to contribute to a contemporary discussion of the role of X-ray spectroscopy in the investigation of radiative properties of strongly coupled,highly correlated,and frequently weakly emissive plasma systems formed in matter irradiated by sub-petawatt and petawatt class lasers.After reviewing the properties of different X-ray crystal spectrometers,high-resolution X-ray diagnostic methods are surveyed with respect to their potential to study plasmainduced and externally induced radiation fields,suprathermal electrons,and strong electromagnetic field effects.Atomic physics in dense plasmas is reviewed with emphasis on non-Maxwellian non-LTE atomic kinetics,quasi-stationary and highly-transient conditions,hollow ion X-ray emission,and field-perturbed atoms and ions.Finally,we discuss the role of X-ray free electron lasers with respect to supplementary investigations of matter under extreme conditions via the use of controlled high-intensity radiation fields.

Recent progress in Mg-based alloys as a novel bioabsorbable biomaterials for orthopedic applications

Traditional orthopedic metal implants,such as titanium(Ti),Ti alloys,and cobalt-chromium(Co-Cr)alloys,cannot be degraded in vivo.Fracture patients is must always suffer a second operation to remove the implants.Moreover,stress shielding,or stress protection occurs when traditional orthopedic metal implants are applied in fractures surgery.The mechanical shunt produced by traditional orthopedic metal implants can cause bone loss over time,resulting in decreased bone strength and delayed fracture healing.Biodegradable metals that‘biocorrode’are currently attracting significant interest in the orthopedics field due to their suitability as temporary implants.As one of the biodegradable metals,magnesium(Mg)and Mg alloys have gained interest in the field of medicine due to their low density,excellent biocompatibility,high bioresorbability,and proper mechanical properties.Additionally,Mg ions released from the metal implants can promote osteogenesis and angiogenesis during the degradation process in vivo,which is substantially better for orthopedic fixation than other bioinert metal materials.Therefore,this review focuses on the properties,fabrication,biological functions,and surface modification of Mg-based alloys as novel bioabsorbable biomaterials for orthopedic applications.

It takes more than tau to tangle:using proteomics to determine how phosphorylated tau mediates toxicity in neurodegenerative diseases

Two of the most common causes of dementia are Alzheimer’s disease(AD)and frontotemporal dementia(FTD).AD is an irreversible,progressive neurodegenerative disorder that is clinically characterized by severe memory loss and behavioral impairment that eventually interferes with everyday function.AD is neuropathologically defined by the presence of extracellularβ-amyloid plaques and intracellular accumulation of neurofibrillary tangles(NFTs)that primarily contain aggregated,hyperphosphorylated tau(pTau).Intriguingly,pTau is also the central protein in multiple subtypes of FTD(e.g.corticobasal degeneration,progressive supranuclear palsy,Pick’s disease).FTD is an umbrella term for a group of neurological conditions that primarily affect the temporal and frontal regions of the brain.Mutations in the tau gene(MAPT)can cause familial FTD,providing further evidence of the integral role of tau in FTD.Physiologically,tau regulates microtubule structure and dynamics,as well as axonal transport through interaction with tubulin.Tau is also involved in neuronal development and synaptogenesis.In AD and FTD,tau becomes hyperphosphorylated and undergoes major conformational changes,causing it to aggregate into the characteristic neuropathological lesions that define AD and FTD.Despite the known involvement of tau in these diseases,exactly how tau mediates toxicity is still unclear.

Cerebellar pathology in motor neuron disease:neuroplasticity and neurodegeneration

Amyotrophic lateral sclerosis is a relentlessly progressive multi-system condition.The clinical picture is dominated by upper and lower motor neuron degeneration,but extra-motor pathology is increasingly recognized,including cerebellar pathology.Post-mortem and neuroimaging studies primarily focus on the chara cterization of supratentorial disease,des pite emerging evidence of cerebellar degeneration in amyotrophic lateral sclerosis.Cardinal clinical features of amyotrophic lateral sclerosis,such as dysarthria,dysphagia,cognitive and behavioral deficits,saccade abnormalities,gait impairment,respiratory weakness and pseudobulbar affect are likely to be exacerbated by co-existing cerebellar pathology.This review summarizes in vivo and post mortem evidence for cerebellar degeneration in amyotrophic lateral scle rosis.Structural imaging studies consistently capture cerebellar grey matter volume reductions,diffusivity studies readily detect both intra-cerebellar and cerebellar peduncle white matter alte rations and functional imaging studies commonly report increased functional connectivity with supratentorial regions.Increased functional connectivity is commonly interpreted as evidence of neuro plasticity representing compensatory processes despite the lack of post-mortem validation.There is a scarcity of post-mortem studies focusing on cerebellar alte rations,but these detect pTDP-43 in cerebellar nuclei.Ce rebellar pathology is an overloo ked facet of neurodegeneration in amyotrophic lateral sclerosis despite its contribution to a multitude of clinical symptoms,wides p read connectivity to spinal and supratentorial regions and putative role in compensating for the degeneration of primary motor regions.

Nguyen Van Nghi(阮文义1909-1999):Pioneer of Traditional Chinese Medicine in the West in the 20^th Century

Traditional Chinese medicine in the 20th century,along with acupuncture,took off in France.Nguyen Van Nghi is one of the most important carriers of Chinese medical knowledge outside of China.He is a doctor by Western training,but can read oriental texts;he contributes to the spreading of this knowledge in France and in Europe.He left a rich legacy to French acupuncturists.

Statistical and quantum photoionization cross sections in plasmas:Analytical approaches for any configurations including inner shells

Statistical models combined with the local plasma frequency approach applied to the atomic electron density are employed to study the photoionization cross-section for complex atoms.It is demonstrated that the Thomas–Fermi atom provides surprisingly good overall agreement even for complex outer-shell configurations,where quantum mechanical approaches that include electron correlations are exceedingly difficult.Quantum mechanical photoionization calculations are studied with respect to energy and nl quantum number for hydrogen-like and non-hydrogen-like atoms and ions.Ageneralized scaled photoionizationmodel(GSPM)based on the simultaneous introduction of effective charges for non-H-like energies and scaling charges for the reduced energy scale allows the development of analytical formulas for all states nl.Explicit expressions for nl1s,2s,2p,3s,3p,3d,4s,4p,4d,4f,and 5s are obtained.Application to H-like and non-H-like atoms and ions and to neutral atoms demonstrates the universality of the scaled analytical approach including inner-shell photoionization.Likewise,GSPMdescribes the near-threshold behavior and high-energy asymptotes well.Finally,we discuss the various models and the correspondence principle along with experimental data and with respect to a good compromise between generality and precision.The results are also relevant to large-scale integrated light–matter interaction simulations,e.g.,X-ray free-electron laser interactions with matter or photoionization driven by a broadband radiation field such as Planckian radiation.

XFEL and HHG interaction with matter:Effects of ultrashort pulses and random spikes

The theory of photoionization describing the interaction of x-ray free-electron laser(XFEL)pulses and high-harmonic-generated(HHG)radiation is generalized to ultrashort laser pulses,where the concept of the standard ionization probability per unit time in Fermi’s golden rule and in Einstein’s theory breaks down.Numerical calculations carried out in terms of a generalized photoionization probability for the total duration of pulses in the near-threshold regime demonstrate essentially nonlinear behavior,while absolute values may change by orders of magnitude for typical XFEL and HHG pulses.XFEL self-amplified spontaneous emission pulses are analyzed to reveal general features of photoionization for random and regular spikes:the dependences of the nonlinear photoionization probability on carrier frequency and spike duration are very similar,allowing an analytical expectation value approach that is valid even when there is only limited knowledge of random and regular parameters.Numerical simulations carried out for typical parameters demonstrate excellent agreement.

Scattering of ultrashort laser pulses on plasmons in a Maxwellian plasma

On the basis of equations obtained in the framework of second-order quantum-mechanical perturbation theory,the standard approach to the calculation of scattering radiation probability is extended to the case of ultrashort laser pulses.Weinvestigate the mechanism of the appearance of plasmon peaks in the spectrum of the plasma form factor for different parameters of the problem.For the case in which scattering on plasmons dominates over scattering on electron density fluctuations caused by chaotic thermal motion,we derive analytical expressions describing the scattering probability of ultrashort laser pulses on plasmons.Together with this,we obtain a simple expression connecting the frequency of scattered radiation and the energy transmitted from the incident pulse to plasmon,and vice versa.In considering the scattering probability,our emphasis is on the dependence on the pulse duration.Weassess in detail the trends of this dependence for various relations between pulse carrier frequency and plasmon energy.

Estimation of Chlorophyll and Turbidity Using Sentinel 2A and EO1 Data in Kneiss Archipelago Gulf of Gabes, Tunisia

Multispectral and hyperspectral sensor data of the bio-optical parameters with a high spatial resolution are important for monitoring and mapping of the coastal ecosystems and estuarine areas, such as the Kneiss Islands in the Gulf of Gabes. Sentinel 2 S2A and Hyperion Earth observing-1 (EO1) imaging sensors reflectance data have been used for water quality determination and mapping of turbidity TU and chlorophyll Chl-a in shallow waters. First, we applied a tidal swing area mask based on uncorrelated pixel via 2D scatter plot between 665 nm and 865 nm to eliminate the overestimation of the concentration of water quality parameters due to the effect of the bottom reflection. The processing for mapping and validating Chl-a, Turbidity S2A, and EO1 were performed using a relation between reflectance bands and in situ measurements. Therefore, we were able to validate the performance of the case 2 regional coast colour processor (C2RCC) as well as our region-adapted empirical optical remote sensing algorithms. Turbidity was mapped based on the reflectance of 550 nm band for EO1 (R2 = 0.63) and 665 nm band for S2A (R2 = 0.70). Chlorophyll was mapped based on (457/528 nm) reflectance ratio (R2 = 0.57) for EO1 and (705/665 nm) reflectance ratio (R2 = 0.72) for the S2A.

Dielectronic recombination in non-LTE plasmas

Novel phenomena andmethods related to dielectronic capture and dielectronic recombination are studied for non-local thermodynamic equilibrium(LTE)plasmas and for applications to non-LTE ionization balance.It is demonstrated thatmultichannel autoionization and radiative decay strongly suppress higher-order contributions to the total dielectronic recombination rates,which are overestimated by standard approaches by orders of magnitude.Excited-state coupling of dielectronic capture is shown to be much more important than ground-state contributions,and electron collisional excitation is also identified as a mechanism driving effective dielectronic recombination.A theoretical description of the effect of angularmomentum-changing collisions on dielectronic recombination is developed from an atomic kinetic point of view and is visualized with a simple analytical model.The perturbation of the autoionizing states due to electric fields is discussed with respect to ionization potential depression and perturbation of symmetry properties of autoionizationmatrix elements.The first steps in the development of statistical methods are presented and are realized in the framework of a local plasma frequency approach.Finally,the impact of collisional–radiative processes and atomic population kinetics on dielectronic recombination is critically discussed,and simple analytical formulas are presented.