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Conca and Varbaro (2020) [7] showed the equality of depth of a graded ideal and its initial ideal in a polynomial ring when the initial ideal is square-free. In this paper, we give some beautiful applications of this fact in the study of Cohen-Macaulay binomial edge ideals. We prove that for the characterization of Cohen-Macaulay binomial edge ideals, it is enough to consider only "biconnected graphs with some whisker attached" and this is done by investigating the initial ideals. We give several necessary conditions for a binomial edge ideal to be Cohen-Macaulay in terms of smaller graphs. Also, under a hypothesis, we give a sufficient condition for Cohen-Macaulayness of binomial edge ideals in terms of blocks of graphs. Moreover, we show that a graph with Cohen-Macaulay binomial edge ideal has girth less than 5 or equal to infinity. [ABSTRACT FROM AUTHOR]

The 2014–2017 global coral bleaching event caused mass coral mortality and reshaped benthic communities across the Pacific. Swains Island (11.0° S, 171.1° W), a remote and uninhabited island within American Samoa, was exposed to moderate heat stress (6 °C-weeks) during this event. Temporal patterns in benthic cover and coral demography were monitored across 13 years straddling this heat stress event to assess the impacts across depth and the recovery trajectory. While Swains's reefs retain some of the highest calcifier cover in the US Pacific Islands, successional trajectories across depth following the 2016 heat stress suggest that these reefs are experiencing a more nuanced pattern of resilience to disturbance, with early signs of recovery in shallow reefs (3–6 m), a shift to non-calcifier dominance at mid depth (6–18 m), and stability on deep reefs (18–30 m). Shallow reefs experienced the largest changes with a relative 50% decline in coral cover, which was replaced by CCA between 2015 and 2018. Shifts in shallow coral community composition were strongly driven by the loss of Pocillopora and early recovery seven years after the event evidenced by an increase in small colonies. Mid-depth reefs experienced a 33% loss in coral cover between 2015 and 2023, and corresponding increase in upright macroalgae. The degree to which increasing macroalgae represents a temporary shift or gradual decline in calcifiers remains to be seen. While Swains's recovery bodes well for persistence of shallow reefs, its remoteness from broodstock and dominance of thermally sensitive taxa pose a threat to future climate resilience. [ABSTRACT FROM AUTHOR]

In this article, we provide explicit and effective bounds for Frobenius test exponents, integers crucial for computing Frobenius closures of parameter ideals, in new settings and articulate their explicit computation along common graded constructions. We do this via the study of variants of F-nilpotent singularities. In particular, we explore how (generalized) weakly F-nilpotent singularities behave under Segre products, Veronese subrings, and the formation of diagonal hypersurface algebras. To accomplish these tasks, we introduce the generalized F-depth in analogy to Lyubeznik's F-depth. These depth-like invariants track (generalized) weakly F-nilpotent singularities in a similar fashion as (generalized) depth tracks (generalized) Cohen-Macaulay singularities. [ABSTRACT FROM AUTHOR]

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As Deep Neural Networks (DNNs) continue to increase in complexity, the computational demands of their training have become a significant bottleneck. Low-precision training has emerged as a crucial strategy, wherein full-precision values are quantized to lower precisions, reducing computational overhead while aiming to maintain model accuracy. While prior research has primarily focused on minimizing quantization noise and optimizing performance for specific models and tasks, a comprehensive understanding of the general principles governing low-precision computations across diverse DNN architectures has been lacking. In this paper, we address this gap by systematically analyzing the factors that influence low-precision matrix computations, which are fundamental to DNN training. We investigate three critical factors—accumulation in matrix calculations, the frequency of element usage, and the depth of matrices within the model—and their impact on low-precision training. Through controlled experiments on standard models, as well as customized experiments designed to isolate individual factors, we derive several key insights: layers with higher accumulation and matrices with lower usage frequencies demonstrate greater tolerance to low-precision noise, without significantly compromising the stability of model training. Additionally, while the depth of matrices influences the stability of matrix operations to some extent, it does not have a noticeable effect on the overall training outcomes. Our findings contribute to the development of generalizable principles for low-precision training, offering a systematic framework applicable across various DNN architectures. We provide empirical evidence supporting the strategic allocation of training bit-widths based on the analyzed factors, thereby enhancing the efficiency and effectiveness of DNN training in resource-constrained environments. [ABSTRACT FROM AUTHOR]

We sometimes say about certain things (such as philosophical questions) that they are ‘deep’ or ‘profound’. But what does it mean exactly? Surprisingly, philosophers have been quite silent on this topic and there is neither consensual nor prominent conceptual analysis of ‘depth’. After surveying different proposals that have tried to capture depth in terms of explanatory depth, subject matter, emotional impact, understanding or complexity, we present the results of three studies in which we combine qualitative and quantitative methods to investigate the everyday concept of ‘depth’. Our results suggest that depth and profundity are generally characterized as (i) something with a meaning, (ii) that stimulates cognitive activity, to (iii) promote epistemic progress about (iv) important issues, thus (v) having an emotional impact. Based on these findings, we propose a first characterization of the ordinary concepts of depth and profundity. [ABSTRACT FROM AUTHOR]

Atlantic salmon Salmo salar typically enter fresh water several months prior to spawning and just as pools can provide areas of refuge in river systems, lakes may also provide important refuge habitat during the spawning migration. Using acoustic telemetry we examined the spatial and temporal movements of wild and a ranched strain of Atlantic salmon in a freshwater lake where the main spawning areas were located upstream of the lake. Over the study period (2011–2014), returning adult wild salmon spent an average of 228 days in fresh water and 90% of that time in the lake. On entering the lake, most wild salmon moved quickly to the northern part of the lake, close to the main inflow, spending an average 76% of the time in this location. The average number of days wild fish were absent from the lake during the main spawning period varied between years, ranging from 10 to 26 days for females and 32 to 35 days for males. Seventy four per cent (17/23) of salmon spawners returned to the lake and two salmon subsequently died in the lake post‐spawning. Atypically, two salmon were resident in the lake for the whole period in 2013/14. During the study, wild salmon were detected at depths within the top 5 m for 73% of the time. Median depths post‐spawning were greater than in the pre‐spawning period, when salmon were found to spend extensive periods at depths in excess of 10 m. In July 2013, when the lake was stratified, thermal regulation behaviour was observed in wild salmon, whereby salmon moved to cooler deeper water when water temperatures at 1 m exceeded 20°C. In contrast to wild salmon, the majority of ranch salmon returned to the traps downstream of the lake prior to the spawning period, which would be expected as they were released as smolts below the freshwater lake. Ranch fish spent an average 80% of the time in the vicinity of receivers in the south of the lake and an average 98% of the time within the top 5 m. However, two ranch females were resident in the lake until the following spring and one ranch female moved upstream into the river during the spawning period. Clearly, in this catchment the lake provides an important habitat for migrating adult salmon. In the context of climate change, where thermal and hydrological regimes in rivers are expected to change in response to changes in air temperature and precipitation patterns, the availability of deep lakes that stratify in the summer and cool water refuges in river systems is likely to play a key role in the sustenance and conservation of salmonid species. Information about the migration patterns of Atlantic salmon in undisturbed freshwater systems may also assist in resolving issues associated with fish passage in impacted rivers and inform management decisions. [ABSTRACT FROM AUTHOR]

Recycled manure solids (RMS) are dried cow dung processed using a manure dewatering machine and subsequently sun-dried to ~ 20% moisture. Benefits of RMS include abundant availability, low cost, and eco-friendliness, but its use as bedding material for cows is hindered by a moisture content that promotes microbial growth. This in vitro study evaluated impacts of calcium hydroxide (CH; 5 and 7.5%) and sodium hydrosulphate (SHS; 6 and 8%), independently and in combinations, at various depths of RMS, on physicochemical and microbial properties. The CH-treated groups had increased pH and reduced moisture on Day 0. Incorporating 7.5% CH + 6% SHS at 15–20 cm, and 7.5% CH + 8% SHS at all depths, effectively suppressed Escherichia coli and Klebsiella spp. Furthermore, a combination of 7.5% CH + 8% SHS at 20 cm inhibited coliform growth, whereas 7.5% CH with 6% SHS inhibited Streptococcus spp. In conclusion, a combination of 7.5% CH with either 6 or 8% SHS at a depth of 15 cm in RMS was particularly effective in controlling environmental mastitis-causing pathogens, specifically E. coli and Klebsiella spp. [ABSTRACT FROM AUTHOR]

This paper provides first information about possible occurrence of the myxosporean genus Kudoa in fish of the World Ocean and, in some cases, in associated freshwater bodies at different depths. An analysis of the theoretically assumed site preference by Kudoa of different habitat depths of their fish hosts in the World Fauna is made for the first time. It is revealed that all species of the myxosporean genus Kudoa can be found in coastal shelf zones, of which 90 species (70.8% of the total) occur exclusively in the shelf zone, and the hosts of 50 Kudoa species (39.4%) live in its shallowest part (down to 50 m). 16 species (12.6%) and 14 species (11%) of this genus can be found at depths from the shelf to 500 meters and 1000 meters, respectively. From 1 to 3 species of Kudoa can be encountered theoretically at 1500 m to 3000 m, which is from 0.8 to 2.4% of all known representatives of these parasites. [ABSTRACT FROM AUTHOR]

Determining the depths of small crustal earthquakes is challenging in many regions of the world, because most seismic networks are too sparse to resolve trade-offs between depth and origin time with conventional arrival-time methods. Precise and accurate depth estimation is important, because it can help seismologists discriminate between earthquakes and explosions, which is relevant to monitoring nuclear test ban treaties and producing earthquake catalogs that are uncontaminated by mining blasts. Here, we examine the depth sensitivity of several physics-based waveform features for ~8000 earthquakes in southern California that have well-resolved depths from arrival-time inversion. We focus on small earthquakes (2 < ML < 4) recorded at local distances (<150 km), for which depth estimation is especially challenging. We find that differential magnitudes (MW/ML-MC) are positively correlated with focal depth, implying that coda wave excitation decreases with focal depth. We analyze a simple proxy for relative frequency content, ɸ ≊ log10(M0) + 3log10(fc)ɸ, and find that source spectra are preferentially enriched in high frequencies, or "blue-shifted," as focal depth increases. We also find that two spectral amplitude ratios Rg 0.5-2 Hz/Sg 0.5-8 Hz and Pg/Sg at 3-8 Hz decrease as focal depth increases. Using multilinear regression with these features as predictor variables, we develop models that can explain 11%-59% of the variance in depths within 10 subregions and 25% of the depth variance across southern California as a whole. We suggest that incorporating these features into a machine learning workflow could help resolve focal depths in regions that are poorly instrumented and lack large databases of well-located events. Some of the waveform features we evaluate in this study have previously been used as source discriminants, and our results imply that their effectiveness in discrimination is partially because explosions generally occur at shallower depths than earthquakes. [ABSTRACT FROM AUTHOR]

After the worldwide moratorium on whaling, humpback whale populations began to recover, reoccupying former areas of use, as also observed on the Brazilian coast. Abrolhos Bank represents the area of greatest humpback whale concentration but the number of individuals to the north has increased, as has happened in the region of Serra Grande. To compare relative abundance, habitat use, and movement patterns between a well‐established breeding and a reoccupation area, visual monitoring from land‐based stations was performed: 160 days in the Abrolhos Archipelago located on the Abrolhos Bank and 133 days in Serra Grande in 2014, 2015, 2018, and 2019. While relative abundance varied annually in the Abrolhos Archipelago, it gradually increased in Serra Grande, surpassing the number registered in Abrolhos in 2019. Group composition frequency was similar between areas except for mother and calf accompanied by one or more escorts, which were more frequent in Abrolhos. Despite similar movement speed and linearity values, whales in Serra Grande had a higher reorientation rate. Monitoring different areas occupied by this population supports decisions about spatial management of the Brazilian coast in relation to the implementation of anthropogenic activities, especially in areas where whales have recently returned to occupy. [ABSTRACT FROM AUTHOR]

Three-dimensional perception in intelligent virtual and augmented reality (VR/AR) and autonomous vehicles (AV) applications is critical and attracting significant attention. The self-supervised monocular depth and ego-motion estimation serves as a more intelligent learning approach that provides the required scene depth and location for 3D perception. However, the existing self-supervised learning methods suffer from scale ambiguity, boundary blur, and imbalanced depth distribution, limiting the practical applications of VR/AR and AV. In this article, we propose a new self-supervised learning framework based on superpixel and normal constraints to address these problems. Specifically, we formulate a novel 3D edge structure consistency loss to alleviate the boundary blur of depth estimation. To address the scale ambiguity of estimated depth and ego-motion, we propose a novel surface normal network for efficient camera height estimation. The surface normal network is composed of a deep fusion module and a full-scale hierarchical feature aggregation module. Meanwhile, to realize the global smoothing and boundary discriminability of the predicted normal map, we introduce a novel fusion loss which is based on the consistency constraints of the normal in edge domains and superpixel regions. Experiments are conducted on several benchmarks, and the results illustrate that the proposed approach outperforms the state-of-the-art methods in depth, ego-motion, and surface normal estimation. [ABSTRACT FROM AUTHOR]

It is known that the depth of every factor ring of C (X) module an ideal is at most 1. In this paper, we examine conditions under which the depth of factor rings of C (X) module closed ideals are either 0 or 1. Particularly, we show that the depth of factor ring C (X) / M A , A ⊆ X , is 0 (or equivalently this ring is classical i.e. its every element is unit or zerodivisor) if and only if A is an almost P -space completely separated from every zero-set disjoint from it. Using this, it has been confirmed that C (X) modulo the smallest z ∘ -ideal containing f ∈ C (X) is classical if and only if cl X int X Z (f) is an almost P -space completely separated from every zero-set disjoint from it. Also, it has been verified that X is a P -space if and only if for every ideal I ⊆ C (X) , the factor ring C (X) / I has depth zero. Finally, we present a counterexample to a conjecture about the depth of subrings of C (X) in the literature. [ABSTRACT FROM AUTHOR]

Let G be a finite simple graph with the vertex set V and let IG be its edge ideal in the polynomial ring S = K [ V ] . We compute the depth and the Castelnuovo-Mumford regularity of S/IG when G = G1 ◦ G2 or G = G1 * G2 is a graph obtained from Cohen-Macaulay bipartite graphs G1, G2 by the ◦ operation or * operation, respectively. [ABSTRACT FROM AUTHOR]

This study examines the trend in the depth of the financial markets over the 2001-2011 period with a particular focus on the period surrounding the 2008-2009 global crisis. We examine the trend in 11 depth variables for high-income OECD, high-income non-OECD, middle-income, and low-income countries. Our results show that stock market capitalization went down for all groups after 2007. We also find that there was a big jump in the stock market value traded in low-income countries in 2007 which later reversed in 2008. We find that after 2007 or 2008, outstanding domestic and international public debt and international private debt went up, while domestic private debt securities went down for the high- and middle-income groups (no data were available for the low-income group). There were more international debt issues for high-income groups after 2008. In terms of liabilities and assets, our results show that gross portfolio equity assets and liabilities as well as debt liabilities went down in 2007 and then up after 2008 for the high-income and middle-income groups. Gross portfolio debt assets went down in 2006 and then up after 2007 for the high-income groups. Overall, the results show that there were changes in all of these depth measures (especially for the high-income and middle-income countries) due the 2008-2009 global crisis. Most of these measures reversed one year later. These findings should help policymakers by showing them the types of changes that happen in their country’s financial system when a global economic crisis happens.

Abstract Recycled manure solids (RMS) are dried cow dung processed using a manure dewatering machine and subsequently sun-dried to ~ 20% moisture. Benefits of RMS include abundant availability, low cost, and eco-friendliness, but its use as bedding material for cows is hindered by a moisture content that promotes microbial growth. This in vitro study evaluated impacts of calcium hydroxide (CH; 5 and 7.5%) and sodium hydrosulphate (SHS; 6 and 8%), independently and in combinations, at various depths of RMS, on physicochemical and microbial properties. The CH-treated groups had increased pH and reduced moisture on Day 0. Incorporating 7.5% CH + 6% SHS at 15–20 cm, and 7.5% CH + 8% SHS at all depths, effectively suppressed Escherichia coli and Klebsiella spp. Furthermore, a combination of 7.5% CH + 8% SHS at 20 cm inhibited coliform growth, whereas 7.5% CH with 6% SHS inhibited Streptococcus spp. In conclusion, a combination of 7.5% CH with either 6 or 8% SHS at a depth of 15 cm in RMS was particularly effective in controlling environmental mastitis-causing pathogens, specifically E. coli and Klebsiella spp. Graphical Abstract

Introduction: Pedicle screws are commonly used in fixation to treat various spinal disorders. However, screw loosening is a prevalent complication, particularly in patients with osteoporosis. Various biomechanical studies have sought to address this issue, but the optimal depth and trajectory to increase the fixation strength of pedicle screws remain controversial. Therefore, a biomechanical study was conducted using finite element models. Methods: Three-dimensional finite element models of the L3 vertebrae were developed from the preoperative computed tomography images of nine patients with osteoporosis and nine patients without who underwent spine surgery. Unicortical and bicortical pedicle screws were inserted into the center and into the anterior wall of the vertebrae, respectively, in different trajectories in the sagittal plane: straightforward, cephalad, and caudal. Subsequently, three different external loads were applied to each pedicle screw at the entry point: axial pullout, craniocaudal, and lateromedial loads. Nonlinear analysis was conducted to examine the fixation strength of the pedicle screws. Results: Irrespective of osteoporosis, the bicortical pedicle screws had greater fixation strength than the unicortical pedicle screws in all trajectories and external loads. The fixation strength of the bicortical pedicle screws was not substantially different among the trajectories against any external loads in the nonosteoporotic vertebrae. However, the fixation strength of the bicortical pedicle screws against craniocaudal load in the cephalad trajectory was considerably greater than those in the caudal (P=0.016) and straightforward (P=0.023) trajectories in the osteoporotic vertebrae. However, this trend was not observed in pullout and lateromedial loads. Conclusions: Our results indicate that bicortical pedicle screws should be used, regardless of whether the patient has osteoporosis or not. Furthermore, pedicle screws should be inserted in the cephalad trajectory in patients with osteoporosis.

Connected bipartite graphs whose binomial edge ideals are Cohen–Macaulay have been classified by Bolognini et al. In this paper, we compute the depth, Castelnuovo–Mumford regularity, and dimension of the generalized binomial edge ideals of these graphs. [ABSTRACT FROM AUTHOR]

Breadth and depth of curriculum are important for success in science teaching and learning. Curriculum theorists recommend less breadth and more depth than overloaded, superficial science curricula. This study investigates breadth and depth in the official biology syllabi in the seventh to eighth or ninth years in four diverse jurisdictions, Kenya, South Africa, British Columbia (Canada) and Singapore. Breadth was the number of generic topics included in each syllabus. Depth comprised focus, meaning the proportion of statements devoted to each topic, and demand, meaning the complexity and abstractness of each topic. High-performing jurisdictions, British Columbia and Singapore, have contrasting profiles of breadth and depth, with British Columbia having low breadth, high focus and high demand, while Singapore has high breadth, low focus and lower demand than British Columbia. Low-performing South Africa has high breadth, some focus but lower demand than the high-performing jurisdictions. Kenya has low breadth, high focus, but low demand. Breadth, focus and demand are independent parameters of biology syllabus. High-performing jurisdictions have higher demand but not focus nor breadth than South Africa and Kenya. The British Columbia syllabus best fits the appeal for less breadth and more depth. [ABSTRACT FROM AUTHOR]

In the Mediterranean Sea, pelagic longline fisheries, targeting tuna and swordfish, have contributed significantly to the bycatch of threatened chondrichthyan species, such as blue shark (Prionace glauca). The Mediterranean blue shark population is assessed as critically endangered, making a timely implementation of mitigation measures crucial. A comprehensive understanding of blue shark habitat use dynamics is essential for deriving appropriate mitigation measures. This study aimed at evaluating vertical movement behaviour and investigating factors potentially influencing the movements of blue sharks in the Mediterranean Sea. Twenty-six blue sharks, bycaught in a longline fishery in the southern Adriatic, were tagged with pop-up satellite archival tags. Analysis of data from thirteen recovered tags revealed a distinctive diel movement pattern. Blue sharks used shallower waters during the night and deeper waters during the day, characterised by steep ascents and descents during sunset and sunrise, respectively. In addition, lunar phases were also influencing the depth of blue shark movements, with sharks using deeper waters right before and during full-moon. Shark size, salinity, currents, spatial location and time of the year were additional factors influencing blue shark depth use. The observed tendency of blue sharks to use deeper areas at daytime and prior and during the full moon period offers possibilities to develop and test bycatch mitigation strategies. Aligning longline fishing schedules and fishing depths with blue shark behaviour during the fishing seasons could hold promise to effectively reduce spatio-temporal overlap between fishing and blue shark distribution and may ultimately decrease the bycatch impact of the fishery. [ABSTRACT FROM AUTHOR]

As a generalization of random recursive trees and preferential attachment trees, we consider random recursive metric spaces. These spaces are constructed from random blocks, each a metric space equipped with a probability measure, containing a labelled point called a hook, and assigned a weight. Random recursive metric spaces are equipped with a probability measure made up of a weighted sum of the probability measures assigned to its constituent blocks. At each step in the growth of a random recursive metric space, a point called a latch is chosen at random according to the equipped probability measure, and a new block is chosen at random and attached to the space by joining together the latch and the hook of the block. We use martingale theory to prove a law of large numbers and a central limit theorem for the insertion depth, the distance from the master hook to the latch chosen. We also apply our results to further generalizations of random trees, hooking networks, and continuous spaces constructed from line segments. [ABSTRACT FROM AUTHOR]

Soil temperature and its variations at different depths are unique parameters that contribute to the understanding of both surface energy processes and regional environmental conditions. This study reports the effects of oil and gas exploration (pollution) on soil thermal properties in Ogoniland, Rivers State, Nigeria. The scope of this study is limited to the determination of the temperature and pH of the soils. A total of thirty (30) soil samples were collected randomly using vegetation, slope, and altitude factors from three (3) local government areas of Ogoniland, Rivers State, Nigeria for determining the point for each sampling, coordinates, and elevation. Soil samples were collected at two depths: 0-15 cm (Topsoil) and 15 – 30 cm (Subsoil) with the aid of a Dutch stainless steel hand auger from four (4) sites (impacted) at different locations within the study area and one (non-impacted) control site outside the project area. A standard digital soil thermometer was employed to determine the temperature of the soils in situ in both regions. It has been observed that the pH and temperature of soils in situ and their variation with test points (location) agree with the results reported in these and similar environments. Hence, it can be concluded that the soils in Eleme, Gokana and Tai Local Government Areas may be recommended, but, with caution, for agricultural activity, laying of gas pipelines, or buried cable in the areas, since the values of these properties observed were within the range of standard values.

Five locations were chosen, two of them at the university of Mosul (L1, L2), and the other at Al-Shalalat (L3), Baybokh (L4) and Khorsobad (L5), all of them were chosen different in vegetation cover at Nineveh governorate, to study the moisture content distribution, and the predicated moisture by using Van Genuchten (1980) and Soilpar2 program at four depths. Physical and chemical properties were determined, after soil samples were collected and air dry, then sieved through 2 mm sieve. Results revealed that high best fit between the measured moisture and predicted by Van Genuchten (1980) for all locations and depths at suction more than 50 Kpa, especially at 800, 1100 and 1500 Kpa respectivly, with a correlation coefficient (r) ranged between (0.93-0.99). Also, result showed that the measured and predicated values were not variable with depths for all locations. The reason for that related to homogenous of soil texture. On the other hand, the measured values were variable with the predicted by using Soilpar2 between locations and depths. High best fit between the measured and predicted values at 10 and 20 Kpa for all locations, with a correlation coefficient ranged between (0.85-0.98).

This paper summarizes the results of the database of changes in the specific methane flux at various types of water reservoirs in Russia in which the authors participated. Measurements were carried out by the method of floating chambers in different periods of the annual hydroecological cycle. A comparison of the data with the results of foreign experience is given. An approach to the parameterization of specific methane flux for calculating the maximum possible methane emission from artificial reservoirs when developing quantitative quotas of greenhouse gas emissions is proposed. The estimation both in different phases of regime (stratification and homothermia) and for separate morphological parts of reservoirs differing in depth is offered. [ABSTRACT FROM AUTHOR]

Students with reading disabilities generally know fewer words (breadth) with less in-depth knowledge of those words (depth) than typical students. The present study examined the effects of a "moderately rich vocabulary instruction" in which both breadth and depth of vocabulary are addressed. Nineteen U.S. 4th- and 5th-grade students with reading disabilities learned 12 words in the moderate-encounter condition, where students practiced the target words six times in the context of rich vocabulary instructional activities. The results showed that students with reading disabilities remembered more taught word definitions and understood more sentences that contained taught words than those from the control condition. The findings suggest that providing moderately rich vocabulary instruction with a moderate number of rich vocabulary practices can yield good word learning and sentence comprehension containing target words for students with reading difficulties. [ABSTRACT FROM AUTHOR]

In this paper, we study the powers of the generalized binomial edge ideal K m , P n of a path graph P n . We explicitly compute their regularities and determine the limit of their depths. We also show that these ordinary powers coincide with their symbolic powers. Additionally, we study the Rees algebra and the special fiber ring of K m , P n utilizing Sagbi basis theory. In particular, we obtain precise formulas for the regularity of these blowup algebras. [ABSTRACT FROM AUTHOR]

This research focuses on analyzing the depth of generalized binomial edge ideals. We extend the notion of d-compatible map and use it to give a combinatorial lower bound for the depth of generalized binomial edge ideals. Subsequently, we determine an upper bound for the depth of generalized binomial edge ideals in terms of the vertex-connectivity of graphs. We demonstrate that the difference between the upper and lower bounds can be arbitrarily large, even in cases when one of the bounds is sharp. In addition, we calculate the depth of generalized binomial edge ideals of certain classes of graphs, including cycles and graphs with Cohen-Macaulay binomial edge ideals. [ABSTRACT FROM AUTHOR]

Mangrove forests are crucial wetland ecosystems located in tropical and subtropical intertidal zones, but they have become extensively degraded. As a viable ecological restoration strategy, the cultivation of native mangrove vegetation in these degraded areas has gained considerable attention. Mangroves' unique environmental conditions make them suitable habitats for diverse microbial communities, including Archaea - one of the main microbial communities in mangrove sediments - which plays a pivotal role in biogeochemical cycles.However, little is known about the dynamics of archaeal communities during mangrove restoration through phytoremediation. In this study, we investigated the physicochemical properties of sediment profiles from natural and artificially restored mangrove ecosystems in Tieshan Bay. We utilized quantitative polymerase chain reaction (qPCR) and 16S rRNA gene sequencing techniques to explore differences in abundance, community structure, and composition of archaeal communities between sediment profiles in natural and artificially restored mangrove ecosystems. We also examined correlations between archaeal communities and environmental factors. Our results revealed that Crenarchaeota, Thermoplasmatota, Asgardarchaeota, Nanoarchaeota, and Euryarchaeota were the predominant archaeal phyla, with significant variation in sediment composition observed for Crenarchaeota and Thermoplasmatota in different depths. We also found significant differences in archaeal abundance and community composition between natural and restored mangrove sediments. Furthermore, C/N ratio and pH emerged as primary drivers of archaeal communities in wet and dry season sediments, respectively. Additionally, the study revealed seasonal disparities in seasonal differences in the relative abundance of certain archaeal groups (such as Asgardarchaeota, Nanoarchaeota). Network analysis demonstrated stronger interconnections among archaeal communities in sediments from natural mangroves than from artificially restored ones. These findings enhance our knowledge of archaeal community succession patterns in mangrove restoration, as well as provide fresh perspectives for the sustainable management of mangrove ecosystems. [ABSTRACT FROM AUTHOR]

Plasma dose quantification is one of the core problems in clinical of plasma medicine. The spatial-temporal distribution and the total dose of the reactive species from plasma into the processed object are especially important in clinic. In this study, we developed a measurement scheme based on image processing technology for quantifying the penetration dose of reactive oxygen species (ROS) into model tissues, and analyzed the effects of treatment conditions on the concentration distribution and the total amount. First, by establishing a numerical relationship between the color index and ROS concentration through image processing and titration experiment, the spatial concentration distribution of ROS on each sliced layer of the treated sample was calculated. Then, the ROS penetration depth was obtained through image segmentation of longitudinal sliced tissue image. Finally, by integrating the concentration of each layer and the depth, the absolute amount of ROS was obtained. Both the penetration depth and absolute amount exhibit a positive correlation with treatment time and a negative correlation with treatment distance under an Ar plasma jet treatment. A range of penetration depth of 0.5–3 mm and total dose of 0.05–0.47 µmol was obtained under the setting conditions. The effectiveness of the proposed method was confirmed by comparing with the total ROS amount measured by UV-Vis method dissolved in liquid, providing a new solution for the issue in plasma dose quantification, and is also benefit for the understanding of plasma-tissue interaction. [ABSTRACT FROM AUTHOR]

The format of multi -view plus depth (MVD) is introduced in 3D-HEVC for improving coding efficiency. However, as the number of viewpoints increases, the computational complexity increases dramatically. To overcome this issue, a method based on RD-cost Bayesian Decision (RDBD) for 3D -HEVC fast depth map inter coding is proposed in this paper, including coding unit (CU) early termination and SKIP/DIS decision. First, an offline training model with the minimum risk Bayesian decision rule is used to predict optimal CU size in depth map. Then, a minimum error rate Bayesian decision rule is proposed to determine whether SKIP or DIS is the best mode and ignores the rate distortion optimization (RDO) process of other modes. Experimental results show that, with the proposed algorithm, 45. 7% depth map encoding time saving is achieved compared to the original 3D-HEVC, and outperforms state-of-the-art fast inter coding methods for 3D-HEVC. [ABSTRACT FROM AUTHOR]

Previous studies on the relative abundance of cephalopods in the Gulf of Oman have been limited, primarily focusing on the commercial species Sepia pharaonis. Therefore, the relative abundance of some cephalopods in the Northeast Gulf of Oman (neritic zone) was studied based using the Catch Per Unit Effort (CPUE) index. Commercial fisheries data were collected using field sampling by a stern trawler with a bottom trawl gear (cod-end mesh size: 85 mm) from the Ferdows fishing fleet. The possible effects of five variables including depth, distance from the shoreline, fishing time of day, the velocity of the vessel, and type of haul on CPUE were measured using Generalized Linear Models, Zero-Inflated Models, and Redundancy Analysis (regression and ordination analyses). Sepia pharaonis and Uroteuthis (Photololigo) duvaucelii had the highest relative abundance based on weight and number, respectively. Weight-based relative abundance of Sepia pharaonis was 5251.126 gr/hour (S.E. ± 1156.672), while the number-based relative abundance of Uroteuthis (Photololigo) duvaucelii was 56.201 individual/hour (S.E. ± 8.560). Overall, Sepia pharaonis, Uroteuthis (Photololigo) duvaucelii, and Sepia stellifera had the highest relative abundance values based on weight. Also, Uroteuthis (Photololigo) duvaucelii, Sepia stellifera, and Sepia omani had the highest relative abundance values based on their numbers. According to the uneven topography of the study area, both in regression and ordination analyses, the depth variable had the greatest effect on the relative abundance of cephalopods. The effect of depth was more noticeable in ordination analyses (p < 0.001). [ABSTRACT FROM AUTHOR]

Specific yield affects how much the water table rises and falls in response to rainfall, to evaporation and to seepage gains and losses. It also affects the aeration of the soil above the water table. Although widely measured in peat soils, the effect of wetting history on its value has not been investigated. Specific yield has been estimated in many studies by cutting peat cores into layers, and measuring how much water drains from the individual layers after they have been wetted. Specific yield, however, is a phenomenon of the soil profile and not subsections, so this method may not provide a reliable estimate of its value. Few studies have reported on the effect of botanical composition on specific yield, or at least have not controlled for the effect by keeping other peat properties like degree of humification constant. We addressed these questions by measuring specific yield in intact cores of peat in a series of laboratory experiments. Two common but contrasting types of Sphagnum peat were investigated that had similar degrees of humification: Sphagnum medium peat and Sphagnum pulchrum peat. We found that specific yield was highly variable, ranging between 0.16 and 0.62. Specific yield was not affected by wetting history, but was significantly different between the peat types, being on average 0.21 higher in the S. pulchrum cores. Specific yield did not vary with depth in the S. medium cores but declined linearly with depth at a rate of 0.018 per cm in the Sphagnum pulchrum cores. Finally, we found that drainage from the peat profile above the zone through which the water table falls is an important component of specific yield, contributing more than 66%–91% of its value in the S. pulchrum peat. Our results show that wetting history probably does not need to be accounted for when estimating specific yield, although further work on this potential effect is recommended. Our work highlights the importance of measuring specific yield using intact cores (field methods may also be appropriate) and suggests that many previous peatland studies may have underestimated its value. [ABSTRACT FROM AUTHOR]

Remote sensing can be an effective tool for mapping river bathymetry, but the need for direct measurements to calibrate image‐derived depth estimates impedes broader application of this approach. One way to circumvent the need for field campaigns dedicated to calibration is to capitalize upon existing data. In this study, we introduce a framework for Bathymetric Mapping using Gage Records and Image Databases (BaMGRID). This workflow involves retrieving depth measurements made during gaging station site visits, downloading archived multispectral images, and then combining these two data sets to establish a relationship between depth and reflectance. We developed a processing chain that involves using application programming interfaces to obtain both depth measurements made during site visits and images centered on the gage and then linking depth to reflectance via an optimal band ratio analysis (OBRA) algorithm modified for small sample sizes. Applying this workflow to selected gages within two river basins indicated that depth retrieval from multispectral satellite images could be highly accurate, but with variable results from one image to the next at a given site. High resolution aerial photography was less conducive to bathymetric mapping in one of the basin considered. Of the four predictors of depth retrieval performance we evaluated (mean and standard deviation of depth, width, and an index of water clarity), only width was consistently significantly correlated with OBRA R2 (p < 0.026). Currently, BaMGRID is best‐suited for site‐by‐site analysis to support practical applications at the reach scale; continuous, basin‐wide mapping of river bathymetry will require additional research. Key Points: Combine depth measurements made during site visits to gaging stations with archived images to enable remote sensing of river bathymetryMultispectral satellite images acquired daily can yield highly accurate depth estimates, but high resolution air photos were less accurateBathymetric Mapping using Gage Records and Image Databases (BaMGRID) is well suited to site‐by‐site analysis for reach‐scale applications [ABSTRACT FROM AUTHOR]

This paper describes the primary decomposition of the edge ideal of the join of weighted oriented graphs in terms of the information from each of those graphs. Using this decomposition and induction, we derive formulas for the depth and regularity of ordinary powers of the edge ideal of the join of two graphs consisting of isolated vertices. Furthermore, we provide upper bounds for the regularity of symbolic powers of such an edge ideal. For the edge ideal of the join of two graphs with at least one oriented edge for each graph, we provide exact formulas for their depth and regularity, as well as upper bounds for the regularity of ordinary powers of such an edge ideal. Some examples demonstrate that these upper bounds are sometimes attainable and sometimes strict. [ABSTRACT FROM AUTHOR]

This study aimed to determine a typical profile of elite breath-hold divers (BHDs), in relation to loss of consciousness (LOC) and episodic memory. Forty-four BHDs were evaluated during a world championship with anthropometric and physiological measurements, psychosociological factors and memory assessment. Seventy-five percent of the BHDs had at least one LOC with the predominance being men (p < 0.05). Thirty six percent of BHDs presented a low-risk profile and 64% a high-risk profile with no particular psychological pattern. Stepwise multiple linear regression showed that body fat, years of BH practice, age and forced vital capacity explained a significant amount of the variance of LOC for all BHDs (F(4,39) = 16.03, p < 0.001, R2 = 0.622, R2Adjusted = 0.583). No correlation was found between resting physiological parameters and their training or depth performances. In conclusion, anthropometric data, pulmonary factors and breath-holding experience were predictive of LOC in elite BHDs, with men taking more risks. BHDs episodic memory was not impaired. [ABSTRACT FROM AUTHOR]

The design, fabrication and characterization of a cost-efficient oceanographic instrument with microfabricated sensors for measuring conductivity, temperature and depth of seawater are presented. Conductivity and temperature sensors were fabricated using MEMS technology, which allows for customized small footprints and low production costs. Dedicated electronics for reading, processing and storing acquired sensor data are described. The developed instrument enables the measurement of seawater conductivity in a range from 4 mS/cm to 70 mS/cm. The conductivity measurement is temperature-compensated in the range from 2 °C to 40 °C, with an accuracy of ±0.1 mS/cm. The temperature sensor's stability is 0.025 °C. The depth/pressure measurement range is up to 2000 m/200 bar, with a resolution of 0.1 bar. Temperature and conductivity sensor performance was assessed using laboratory equipment and designed electronics. The conductivity sensor was temperature-compensated to 0.01 mS/cm. The conductivity sensor electrode corrosion effect is presented below and was eliminated through adaptation of a signal acquisition circuit. Custom software was developed for monitoring critical conductivity sensor parameters (currents, voltages). A variation of 0.4% between cell conductance currents and voltages was established as a criterion for stable conductivity sensor operation. [ABSTRACT FROM AUTHOR]

This paper continues the research on the circuit synthesis problem for a multiplexer function of logic algebra, which is a component of many integrated circuits and is also used in theoretical study. The exact value of the depth of a multiplexer with select lines in the standard basis is found under the assumption that the conjunction and disjunction gates are of depth 1 and the negation gate is of depth 0; the depth equals if . Thus, it follows from previous results that the exact depth value equals for all positive integers such that either or . Moreover, for , this value equals 2, and for , it equals either or . Similar results are also obtained for a basis consisting of all elementary conjunctions and elementary disjunctions of two variables. [ABSTRACT FROM AUTHOR]

Five locations were chosen, two of them at the university of Mosul (L1, L2), and the other at Al-Shalalat (L3), Baybokh (L4) and Khorsobad (L5), all of them were chosen different in vegetation cover at Nineveh governorate, to study the moisture content distribution, and the predicated moisture by using Van Genuchten (1980) and Soilpar2 program at four depths. Physical and chemical properties were determined, after soil samples were collected and air dry, then sieved through 2 mm sieve. Results revealed that high best fit between the measured moisture and predicted by Van Genuchten (1980) for all locations and depths at suction more than 50 Kpa, especially at 800, 1100 and 1500 Kpa respectively, with a correlation coefficient (r) ranged between (0.93-0.99). Also, result showed that the measured and predicated values were not variable with depths for all locations. The reason for that related to homogenous of soil texture. On the other hand, the measured values were variable with the predicted by using Soilpar2 between locations and depths. High best fit between the measured and predicted values at 10 and 20 Kpa for all locations, with a correlation coefficient ranged between (0.85- 0.98). [ABSTRACT FROM AUTHOR]

This study explores age-dependent ingestion doses arising from uranium accumulation in drinking water sources (both groundwater and surface water) in Rupnagar, Punjab, and Una, Himachal Pradesh. Physicochemical parameters such as pH, electrical conductivity, and total dissolved solids were assessed in collected water samples to calculate the water quality index, indicating good water quality in both regions. The study also analyzed uranium concentration in groundwater at varying depths, revealing no significantly high values. The average radiological risk was found to be consistent with reported values, and chemical risk hazard quotient data indicated no adverse health effects from uranium ingestion. [ABSTRACT FROM AUTHOR]

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In this paper we present the notion of arithmetic variety for numerical semigroups. We study various aspects related to these varieties such as the smallest arithmetic that contains a set of numerical semigroups and we exhibit the rooted tree associated with an arithmetic variety. This tree is not locally finite; however, if the Frobenius number is fixed, the tree has finitely many nodes and algorithms can be developed. All algorithms provided in this article include their (non-debugged) implementation in GAP. [ABSTRACT FROM AUTHOR]

A review of the prey of three amphiatlantic dolphin species, Tursiops truncatus, Stenella coeruleoalba and Delphinus delphis, is carried out. The main objective of this work is to review the feeding of these species in the Atlantic in order to assess the degrees of trophic competition and speciation pressure. A total of 103 fish families, 22 cephalopod families and 19 crustacean families have been counted, from which the species identified to the genus level only included seventy-one fish, twenty cephalopods and five crustaceans, and the total species identified included three-hundred-one fish, fifty cephalopods and twenty-six crustaceans. The most consumed prey were fish, followed by cephalopods and crustaceans. The exclusive prey consumed by each of the three dolphin species, as well as those shared by all or at least two of them, have also been counted. T. truncatus is the most general; however, the western Atlantic populations exhibit high dietary specialization compared to the eastern Atlantic populations, reflecting strong speciation pressure on both sides of the Atlantic. D. delphis and S. coeruleoalba, despite their amphiatlantism, have hardly been studied in the western Atlantic, except for a few references in the southern hemisphere, so the fundamental differences between the two species and their comparison with T. truncatus have been established with records from the eastern Atlantic. All three dolphin species have been observed to be expanding, especially D. delphis. This northward expansion and that of their prey is discussed. [ABSTRACT FROM AUTHOR]

Optimising stoma appliances to manage stoma output to prevent leakage, associated peri-stomal skin damage and the subsequent negative impacts on quality of life is a key role for the stomal therapy nurse. Use of deep convex stoma appliances to achieve optimal management of stoma output is often required when stomas are retracted, in deep skin folds or with uneven skin surface due to abdominal scaring or underlying general body shape and tone. Assessment of convexity has been described as subjective using observation, based on clinical experience and at times trial and error to achieve appropriate appliance selection. This case study introduces an objective method for convexity assessment of depth and slope of convexity, individualised to the person's stoma in a skin fold. [ABSTRACT FROM AUTHOR]

Optimising stoma appliances to manage stoma output to prevent leakage, associated peri-stomal skin damage and the subsequent negative impacts on quality of life is a key role for stomal therapy nursing. Use of deep convex stoma appliances to achieve optimal management of stoma output is often required when stomas are retracted, in deep skin folds or with uneven skin surface. Choosing convexity has often been described as subjective using observation combined with clinical experience and a period of trial and error to achieve appropriate appliance selection. This paper describes the methodology to replicate assessment of the depth and slope of convexity, individualised to the person's stoma in a skin fold using a camera and common measurement tools. [ABSTRACT FROM AUTHOR]