The article focuses on the generalization of Fuglede's theorem and the solvability of operator equations. Topics include extending Fuglede's theorem to non-normal operators, deriving criteria for solving operator equations such as AX − XB = C, and using inner inverses to establish necessary and sufficient conditions for operator equation solutions.

A Vertical Axis Wind Turbine (VAWT) comprises multiple parts constructed from different materials. This complexity presents challenges in designing the blade structure. In this study, we investigated a structural optimization of a small-scale blade for a VAWT, with Finite Element Analysis (FEA) model. The purpose is to minimize the blade mass while adhering to a suite of critical wind conditions according to the IEC 61400-2 Standard. The structure made from Aluminum material simulates structure’s global behavior to determine maximum stress and deflection levels. The same structure is modeled using Glass/Epoxy composite for optimizing its design. Twenty combinations of Glass/Epoxy layers, varying in ply thickness and orientation, are simulated to find the most suitable combination. Results demonstrated that the optimization case [45°/90°/0°/−45°] obtained the minimum values of stress and deflection, is 59% lighter than Aluminum blade (initial design). The designed Glass/Epoxy composite blade is acceptable and recommended for structural safety.

Reservoir dams in Algeria face reduced lifespans and diminished water resources due to sedimentation, which often leads to out-of-service states. To address this issue, topo-bathymetry has been identified as the preferred technique for predicting silting in dam basins. Consequently, the seek for optimal interpolation methods to conduct topo-bathymetric surveys has become increasingly important. This study compares two primary interpolation methods, deterministic and geostatistical, to determine the most effective approach for these surveys. Three specific techniques were examined in this research: inverse distance weighting, radial basis function (deterministic), and ordinary kriging (geostatistical). The study focused on five reservoir dams in Algeria, using cross-validation to assess the performance of each interpolation method. The results revealed that the geostatistical approach outperformed deterministic estimations across all five sites. The superiority of the geostatistical method was further supported by the performance metrics used in the study. Based on these findings, ordinary kriging emerged as the most suitable method for interpolating topo-bathymetric surveys for all sites, regardless of variations in morphology and spatial sampling density. This research contributes valuable insights for enhancing reservoir dam management in Algeria in order to optimize water resource allocation.

Water resources are facing significant challenges in result of rapidly growing demand, deteriorating quality, and the effects of climate change. Today, water quantity and quality issues have become prevalent in various regions across the globe, affecting both northern and southern territories. Among the sectors reliant on this resource, irrigation stands out as the largest consumer of water. When surface water becomes inaccessible due to insufficient precipitation or other factors, the use of groundwater becomes the only viable alternative for irrigation. The Remila Plain (Khenchela) is located in an endorean watershed in northeastern Algeria and extends over 250 km2 in a synclinal basin filled with water from the Mio-Plio Quaternary - the main aquifer of the region, widely used for irrigation. The aim of this work is to study the hydrochemistry of these waters, as well as the evolution of mineralisation, the identification of the origin of the chemistry, and the suitability of these waters for irrigation. Initial results indicate an evolution of mineralisation in the direction of groundwater flow, with electrical conductivity values varying between 1000μS/cm in the recharge zones, and 2700μS/cm at the outlet. This mineralisation is mainly due to the dissolution of evaporitic minerals and the alteration of silicates. In addition, the various water quality indices used indicate that the water can be used for irrigation without major risk to plants and soils.

Inspired by a real-work case, this paper introduces a profit maximization model for dynamic lot sizing considering substitution and multiple usage of returns for refurbishing at different levels of quality or for disassembly to extract key parts that will be used in the manufacturing process. This model allows studying the interactions between different types of returns and decisions. To analyze the impact of uncertainty on these interactions, we develop a robust two-stage stochastic program with uncertainty on demands and returns. The resulting problems are mixed-integer linear programs that we solve using an efficient relax-and-fix and fix-and-optimize heuristic. Extensive numerical experiments are conducted to study the different trade-offs when integrating multi-usage of returns with substitution and accordingly derive managerial insights. The experiments have revealed, for example, that: (i) the profit margin of the refurbished items is the main determinant of the total profit and when such margin in high, the total profit becomes more sensitive to different cost variations; (ii) collection efficiency becomes very sensitive to collection cost and much less sensitive to refurbishing cost especially with large profit margins; (iii) when demand and returns are uncertain parameters, substitution becomes the best option as uncertainty and prices increase; (iv) when the gap between prices of different quality levels is high, lost sales occur mainly on the lowest quality product and downgrading decreases together with substitution; and (v) Sharing the production line between refurbishing and manufacturing for low-quality products is highly motivated by small upgrading costs and their substitution level increases with increasing upgrading costs.

Introduction/purpose : This study investigates the seismic response of longspan continuous deck truss bridges under the effect of near-fault vertical ground motions. The primary objective is to assess how near-fault vertical seismic excitation affects the structural safety and performance of these bridges. By exploring the nuanced dynamics induced by near-fault vertical motions, the research aims to improve the understanding of the vulnerabilities and challenges faced by long-span continuous deck truss bridges during seismic events.

Methods : To achieve this objective, the truss bridge was subjected to a series of ground motions, representing natural seismic events. The seismic response of the bridge was investigated by applying the linear time history method to the 3D finite element model. This analysis focused specifically on the evaluation of base shear and displacement. The analysis was extended to include the seismic performance of truss structures. The comparison between the bridge responses with and without consideration of the vertical component of ground motion was made to clarify the effect of vertical excitation.

Results : The results show that there is a significant contribution of vertical excitation, particularly concerning the internal force in the truss elements, where it exceeded 60 % during a severe earthquake, and consequently increased the demand-to-capacity ratio in most elements of the truss bridge structure.

Conclusion : For structural engineers and designers, the results of this research suggest that neglecting to include the vertical ground motion component in the analytical assessments of this type of bridges can lead to a greater degree of uncertainty and risk, particularly in near-fault regions.

This paper studies the phenomenon of hydraulic jump in compound channels using a numerical model and provides remarkable results. Several values of the opening parameter, h1, are utilized to generate the hydraulic jumps. A recirculation zone is detected by studying the RNG-K-Ɛ turbulent Volume Of Fluid (VOF) model, which is distinguished by the modified directions of the velocity vectors. When comparedwith the experimental values, the numerical simulation demonstrated very good accuracy, with an error of no more than 9.4%. The results underline the reliability and usefulness of the VOF turbulence model for understanding and simulating the hydraulic processes in compound channels.

Background and Objective: Plants of the genusMarrubium are used to cure several infectious diseases like asthma, rheumatoid and diabetes.This study investigatedin vivo antihyperglycemic capacity of the methanolic fraction (MeOHE) of twoMarrubium species via animal model.Materials and Methods: The plant extracts were investigated both qualitatively and quantitatively to reveal their phytochemical composition.Pharmacologically speaking, Wistar albino rats of either sex (150-180 g) were used to investigate the antidiabetic effect using 25 rats in each ofthe two used approaches; respectively Oral Glucose Tolerance Test (OGTT) and streptozotocin-induced diabetes approaches. In addition, variousbiochemical parameters were investigated to confirm the pharmacological quality of our plants. Evaluated for their possible antidiabetic effectduring two consecutive weeks for glycemia levels (2 hrs period). Results: Data revealed that MeOHE induced a significant antihyperglycemic effect,in whichM. deserti, a slight decrease in the glucose level at (143±0.5 mg/dL) was obtained while a reduction was recorded forM. vulgare(71.5±0.75 mg/dL) with a same observation for triglycerides, cholesterol, glutamic-oxaloacetic transaminase (TGO), glutamic pyruvic transaminase(TGP), creatinine comparing to standard. Moreover, the result showed high levels of phenolic and flavono{\"ıds content. Conclusion: This modestwork confirmed once again the real pharmacological capacity of vegetals and their possible implication to cure diabetes and complications relatedto it underlying the antihyperglycemic activity of these plants.

The current investigation is centered on the characterization of specific apple cultivars in the Garza region, within the Teniet El Abed municipality, situated 55 km east of Batna (NE-Algeria). Utilizing descriptors outlined by UPOV 2015 pertaining to apples, the study focuses on morphological parameters of leaves, fruits, and terminal shoots across three varieties: Golden Delicious, Royal Gala, and Starkrimson. Additionally, soil analysis was conducted to ascertain its suitability for apple cultivation. The examination revealed limited morphological diversity among the investigated apple cultivars, with some descriptors, particularly those related to fruit traits, showing insignificant differences between cultivar types. Overall, the studied varieties - Golden Delicious, Royal Gala, and Starkrimson - exhibit distinct physiological and morphological characteristics. Variations in size, shape, skin color, flesh attributes, as well as sugar and acid content, contribute to the uniqueness of each variety. Whether one prefers sweet or tart apples, or favors larger or smaller fruits, there exists an apple variety to cater to individual tastes. Our findings complement molecular analyses and underscore the need for further exploration of apple germplasm, alongside sustained conservation efforts.

Ilex aquifolium L. is an endemic species in Algeria’s Tellian and Saharan Atlas mountains in the country’s center and east, and it is on the verge of extinction owing to a variety of reasons. To help preserve it, we devised an in vitro micropropagation technique. The cuttings with axillary buds were cultured on different media supplemented with different combinations and concentrations of plant growth regulators. The best results were obtained on Woody Plants Medium (WPM) supplemented with 6-benzylaminopurine (BAP: 1.5 mg/LL, 3 mg/L) and naphthalene acetic acid (NAA: 1.5 mg/LL) in combination with BAP (1.5 mg/ L); BAP (1.5 mg/ L) with Gibberellins (GA3: 0.5 mg/ L). The best shoot proliferation rates were obtained on WPM supplemented with 1.5 mg/LL (BAP) and BAP: 1.5 mg/L; GA3: 0.5 mg/L; or BAP: 1.5 mg/L + ANA: 1.5 mg/L. The highest rooting rate (100%) was obtained with shoots grown on WPM medium supplemented with NAA (1.5 mg/LL). Absence of routing formation was observed in media containing indolacetic acid (IAA: 1 mg/ L) alone or combined with BAP: 0.5 mg/ L) The best-rooted shoots must be acclimatized to a substrate consisting of a mixture of peat and sand (1:1 v/vv), the seedlings have been acclimatized successfully.

Honey has a long history of use in many cultures as food and medicine. It is a food of animal origin closely linked to the territory, due to honeybees need the flora to obtain the honey. Melissopalynology plays a significant role in the identification of the distinctive food print of honey throughout its pollen content, being essential for guaranteeing origin. Algeria is the largest country in North Africa and possesses a diversified territory with different ecosystems that host wide plant biodiversity. Apiculture relies heavily on the pollination of plant species and the conservation of biodiversity, but also is a good source of economic income in rural areas. In Algeria, knowledge about plant resources for honey bees and the properties of the honey is raising interest. In this context, this chapter aims to provide a comprehensive overview of the different ecosystems of Algeria, the main pollen types found in the pollen spectra of honey and the principal honey types described.

 Daboia mauritanica (Gray, 1849), Moorish Viper, is native to North Africa. We update the distribution map for this species in Algeria, providing 19 new locality records, filling distribution gaps and significantly expanding the species’ known range. Our updated distribution map reveals a widespread presence of the species in northern Algeria, extending south into the northern Sahara. We note that some historical records in certain provinces remain unconfirmed and/or questionable, indicating the need for further investigation. Our findings underscore the importance of collaboration between researchers and citizen scientists in Algeria.

Aphids cause biotic stress and vector diseases. However, wheat’s morphological and biochemical responses to aphid infestation are poorly studied. Our study evaluated the varietal behavior of durum wheat (Triticum durum Desf) against Rhopalosiphum maidis (Homoptera: Aphididae) in laboratory conditions. We studied morphological trait variation (plant height [HP], flag leaf area [SFDF], leaf area [SF], spike length [LE], and beard length [LB]) and biochemical characteristics (chlorophyll, soluble sugars, and proline contents) of three varieties in Algeria: MBB, BOU, and GTA. MBB is the least affected, with a 13.34 % infestation rate. The heaviest infestation occurs during the heading stage. All morphological factors decreased in length or surface between control and infested samples. ANOVA showed significant variations for HP, LE, SFDF, and SF but not LB. Biochemical parameters decrease in GTA. In MBB, chlorophyll and soluble sugars decrease while proline increases. For BOU, soluble sugars decrease while chlorophyll and proline increase. Only soluble sugars showed a significant statistical variation between control and infested plants. HP is affected by aphid infestation, which is of higher significance for MBB. Proline content is affected in BOU and GTA. There is no significant variation between aphid infestation and chlorophyll, soluble sugars, and proline levels for MBB. The effect of R. maidis infestation is less important on MBB. HP, SFDF, SF, and LE are morphological selection criteria for R. maidis infestation resistance. Proline is a biochemical selection criterion. Genetic and molecular analyses are required to identify genes for programs that enhance durum wheat’s resistance to R. maidis infestations.

The present study records the first observation of a female Delta dimidiatipenne constructing its nest in Oran (NW-Algeria). The nest construction and developments thereafter were monitored every three days from July to September 2022 (70 days). Ultimately four female wasps were successfully emerged. This first record will be useful for future studies on the distribution, behaviour, ecology and conservation in this semi-arid region.

The present study evaluated the potential of Salvia balansae from the Aures Mountains as a source of natural bioactive compounds. Leaves, flowers, and stems were extracted separately using methanol, ethanol, and acetone. Phenolic compounds were quantified colorimetrically and identified using liquid chromatography coupled with mass spectrometry (LC-MS). Antioxidant capacity was assessed using six different in vitro assays, 2,2'-azinobis(3-ethylbenzothiazoline-6-sulfonic acid) diammonium salt, 1,1-diphenyl-1-picrylhydrazyl, cupric reducing antioxidant capacity, ferric reducing antioxidant power, ferrous ion chelating, and phenanthroline assay, while the photo-protective capacity was evaluated using the sun protective factor. The methanolic flower extracts revealed the highest O-diphenol and phenolic levels (287.9 ± 0.50 and 147.87 ± 0.21 µg GAE/mg, respectively), whereas the acetonic and ethanolic leaf extracts contained the highest flavonoid (72.17 ± 0.12 μg QE/mg) and flavonol (35.28 ± 0.05 μg QE/mg) levels, respectively. LC-MS was used to identify 18 phenolics, including quinic acid (5.051–69.69 ppm), luteolin-7-o-glucoside (7.802–44.917 ppm), apigenin-7-o-glucoside (3.751–68.507 ppm), and cirsiliol (2.081–15.608 ppm), distinguishing this Aures taxon. Principal component analysis and unweighted pair-group method with arithmetic mean revealed variability in phytochemicals, antioxidant properties, and photo-protective activity influenced by biological activities and the compound content. Overall, S. balansae demonstrated promising photo-protective capacity, the presence of key bioactive compounds, and wide-ranging antioxidant potential, presenting this endemic plant as a valuable source of natural antioxidants and photo-protective agents with pharmaceutical and cosmetic applications.

In August 2021, very intense fires swept through various forested areas in northern Algeria, particularly in Kabylia. The population dynamics of Cistus salviifolius and Cistus monspeliensis were studied along a post-fire successional gradient during the first nine months (September 2021 – May 2022), in two forest communities: the Cork oak (Quercus suber) and the Aleppo pine (Pinus halepensis) forests in the coastal zone of Bejaia province. The Cistus spp. germinations were counted monthly in each forest on 10 plots of 1 m2, evenly distributed along 2 transects of 45 m each. The results showed that the majority of germinations occur in December with 207.5 ± 24.2 seedlings in the Cork oak forest and 171.3 ± 18.0 seedlings in the Aleppo pine forest. Student’s t-test does not reveal significant differences for December between the two communities. During the first months following the fire (September and October 2021), germinations were almost absent. The monthly rainfall in September 2021 was estimated at 16.25 mm, an insufficient amount for effective germination. Late germination results in an extension of its period, showed a high rate in January 2022 with 42.2 ± 2.1 and 11.5 ± 0.8 seedlings, respectively, in the Cork oak forest and the pine forest. Beyond January, germination was practically nonexistent in both communities. Therefore, the majority of the seed germination was concentrated in November, December, and January with a unimodal germination pattern.

Salt resistance studies have, unfortunately, mainly been focused on conventional crops, with very few studies being conducted on the potential of available halophytes as new crops in the future. Portulaca oleracea L. has been listed as one of the most used medicinal plants by the World Health Organization as an edible halophyte. It is a fast-growing herbaceous annual with high nutritional relevance. The present work was designed to determine the effect of six soluble salts (NaCl, Na2SO4, KCl, CaCl2, CaCO3, and MgCl2) on germination of P. oleracea seeds. The effect of salinity was tested on final germination percentage (FGP%), and germination tolerance index (GTI%) using five concentrations (0, 200, 300, 400, and 600 mM) of each salt. In addition, laboratory experiments were conducted to assess the effects of salinity on germination recovery from high saline conditions (600 mM). Salinity level and salt composition significantly influenced germination attributes. P. oleracea seeds were non-dormant, exhibited approximately 100% germination in distilled water. Both FGP and GTI gradually decreased with increasing salinity. This study showed that seeds of P. oleracea can germinate under 300 mM in all tested salts. The salts causing germination inhibition exhibited specificity, with an increasing trend observed in the following sequence: MgCl2 > Na2SO4 > NaCl > KCl > CaCl2 > CaCO3. Transferring ungerminated seeds from 600 mM to distilled water recovered their germination ability. Based on these results, we can conclude that P. oleracea is a high salt-tolerant species that can tolerate a variety of salts found in soil. Therefore, P. oleracea may be considered a promising species for improving ecological balance in saline soils.