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2H‐pyran compound 1 synthesized from 6‐methylpyridine‐2,4‐diol and citral, has been used for Cu‐catalyzed N‐arylation with a range of arylboric acids to obtain arylated pyranopyridine core structure derivatives (yield up to 77 %). Among them, compound 3 h exhibited a much better inhibitory effect on HepG2 liver cancer cells compared to citral, and the IC50 value was 5.3 μM following exposure with the newly synthesized derivatives (herein named 3 h for short in this paper), which was lower than that of the cisplatin (6.5 μM). Meanwhile, the cell‐cycle arrest of HepG2 cells occurred in the S phase, and the apoptosis of HepG2 cells was significantly increased with increasing drug concentration. In addition, real‐time fluorescence quantification PCR and Western blotting experiments showed that the expression of apoptotic protein BAX was increased, while the expression of anti‐apoptotic protein BCL2 was inhibited in a dose‐dependent fashion. The results of these experiments indicated that apoptosis was promoted in HepG2 cells via apoptotic signaling pathway activated by 3 h. Furthermore, 3 h effectively decreased the phosphorylation levels of PI3 K, ATK and ERK, resulting in the inhibitions of MAPK/ERK and PI3 K/ATK signaling pathways. Briefly, 3 h has been found to show inhibitory effects on the survival of HepG2 liver cancer cells and may be used as anti‐cancer drug in the future. [ABSTRACT FROM AUTHOR]

Abstract\nHIGHLIGHTSA flexible financial instrument that is frequently used to assess the fair value of options is the Binomial Option Pricing Model (BOPM). This study examines the innovative use of the BOPM in booking tickets, highlighting how it might improve decision-making in the quickly changing ticketing sector. The option pricing model is used in the study to solve the problem of cancelation fees in ticket purchases. The aim is to provide a solution that enhances the company’s reputation while also being in line with client pleasure. This study probably considers the dynamic nature of ticket prices, variations in demand, and industry uncertainty by using the BOPM. The model’s adaptability is used to customize a response that considers consumer preferences and expectations regarding cancelation fees. The utilization of the BOPM in the ticketing industry highlights the tool’s capacity to enhance decision-making procedures by offering a more sophisticated and customer-focused method for setting prices and developing policies.Introducing a call option in the booking system to reduce the cancelation charges.Using BOPM, to fix a premium for the customer who books a ticket early.Introducing a call option will be eco-friendly for the customers. [ABSTRACT FROM AUTHOR]

Let Λ be the algebra of symmetric functions. We introduce Stirling partitions, factorial partition polynomials, partition differential equations and their corresponding partitions, and partition primitive functions. Most importantly, this investigation provides a new combinatorial coalgebra structure on Λ , and it characterizes the primitive elements in Λ using the Jacobian determinants of partition primitive functions. [ABSTRACT FROM AUTHOR]

The Dongzhongla deposit is a skarn-type lead–zinc ore deposit located in the eastern segment of the Gangdese metallogenic belt, situated in the Xizang province, China. The high-altitude mountainous terrain of the region poses significant challenges to ground-based exploration. To facilitate more accurate mineral exploration in the deposit and its surrounding area, a high-resolution airborne magnetic survey was conducted over the mining area and its periphery. The airborne magnetic data were processed using derivative and Euler deconvolution methods, yielding results that reflect the geological structural features of the study area. By integrating the geological characteristics of the ore deposit, we inferred that the areas of magnetic anomaly extensions and the peripheries of other magnetic anomalies are favorable zones for mineralization, providing positive leads for further mineral exploration. [ABSTRACT FROM AUTHOR]

ABSTRACT In this work, we introduce a novel NMR apodization function designed to enhance spectral resolution while maintaining compatibility with qNMR standards. This function is based on a modified Savitzky–Golay filter, adapted for time‐domain application. It effectively suppresses the negative components typically associated with derivative spectra, while also ensuring the preservation of quantitative integrity in NMR analyses. [ABSTRACT FROM AUTHOR]

This study contributes to Action, Process, Object, Schema (APOS) theory research by showing two approaches used by advanced mathematics students to construct relations between higher-order derivatives to solve complex problems. We show evidence of students' ability to perform Actions on their graphing derivative Schema, that is, of its thematization. It also contributes to the literature on the learning of differential calculus by showing how advanced students use their knowledge to construct relations between concepts when facing complex situations. The work of three graduate students on transforming complex graphs and determining their properties and their relation to the domain structure is analyzed to determine their solution approaches. Their graphing derivative Schema is analyzed in depth in terms of the construction of relations among the Schema structures and assimilation and accommodation mechanisms involved in thematization in APOS theory. These findings are important in informing and developing didactic strategies to foster university students' understanding of derivatives, which can smoothe the transition to the study of advanced mathematics courses. [ABSTRACT FROM AUTHOR]

To identify a fast and non-destructive way to determine nutritional traits in soybean, a study was conducted using near-infrared spectroscopy (NIRS) to quantify the oil, protein, and fatty acid contents in soybean seeds. Three hundred soybean accessions obtained from the International Institute of Tropical Agriculture and six varieties were evaluated at two locations in 2021. Fifty random samples of the soybean accessions were scanned over a wavelength of 400–2500 nm at every 0.5 nm interval at the instrumentation laboratory of the Centre for Dryland Agriculture. The spectral data was analyzed using multivariate data analysis software (Unscrambler v9.7). Partial least square analysis was performed on the spectral data and derivative data to determine the best calibration model based on standard error of calibration and R2. Goodness of fit was evaluated based on standard error of prediction and the residual percent deviation. Calibration models developed using absorbance gave an R2 ranging from 0.991 to 1.000 while that of reflectance ranges from 0.993 to 0.997. Standard error of calibration (SEC) values was between 0.160 and 2.093 for the absorbance groups and 0.166 and 1.376 for the reflectance group. Residual percent deviation (RPD) values greater than 5.0 were obtained using both absorbance and reflectance data for oil and protein, and this signifies that the models were good for quality control and analysis. The result showed an excellent correlation (> 97%) between the predicted and references for all the nutritional traits studied which makes the models good predictors. The developed model was used to predict the oil, protein, and fatty acids of the 306 soybean genotypes, and the observed values were within the reported range for soybean seeds. Thus, NIRS can be used to quantify the nutritional contents of seeds, and it is fast, accurate, and non-destructive. [ABSTRACT FROM AUTHOR]

Copyright of Journal of Theoretical Educational Science / Kuramsal Eğitimbilim Dergisi is the property of Afyon Kocatepe University, Faculty of Education and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

In the paper, we study the uniqueness of meromorphic function with few poles sharing two pairs of small functions IM with its th derivatives and obtain two results which improve as well as generalize the recent result due to Huang et al. [1] in a large extend. [ABSTRACT FROM AUTHOR]

This paper studies the engineering students' understanding of the concept of derivative with a discrete approach using sequences introduced by Weigand [21]. In this approach, a step-by-step method of difference sequence for functions defined on Z and Q is proposed. This concept was taught as part of a mathematics course in an engineering college in an Iranian university. HomeWorks with questions based on derivative with a discrete approach were constructed and performed for the participants. Their written answers, which were used to explore the students' mental structures of these mentioned concepts, were analyzed using APOS (Action-Process-Object-Schema) theory and we performed interviews so that the students could explain about their written answers. The results show that students tend to adopt an algorithmic approach when solving derivative problems and students' understanding of the meaning of derivative with a discrete approach was mainly procedural. Also according to the observed mental structures, a suggested genetic decomposition for the derivative with a discrete approach is presented. [ABSTRACT FROM AUTHOR]

In this study, using convolution theorem of the Laplace transforms, a monotonicity rule for the ratio of two Laplace transforms, Bernstein’s theorem for completely monotonic functions, and other analytic techniques, the authors verify decreasing property of a ratio between three derivatives of a function involving trigamma function and find the necessary and sufficient conditions for a function defined by three derivatives of a function involving trigamma function to be completely monotonic. These results confirm previous guesses posed by Qi and generalize the corresponding known conclusions.

Different process-object frameworks have been used to describe the structure and sequence of acquisition of knowledge about mathematical concepts in the sense that operational (i.e. process-related) knowledge should be acquired before structural (i.e. object-related) knowledge. This approach has previously been used to investigate the structure of knowledge about the concept of derivative from a qualitative perspective. In this article, we apply a process-object framework to investigate the acquisition of knowledge about the concept of derivative quantitatively. Data was collected from N = 176 grade 10/11 students in Germany using a test instrument that has been specifically developed to measure operational and structural knowledge about the concept of derivative. In a second study, interviews were conducted with a selected subsample of the same students to ensure the validity of the test and the compatibility of our items to the theoretical model. Our results show that knowledge about the concept of derivative can be seen as psychometrically two-dimensional reflecting operational and structural aspects of knowledge. Additionally, our results indicate that a majority of students might only have acquired pseudostructural knowledge about the concept of derivative. Lastly, implications for research specifically for the role of prior knowledge are discussed. [ABSTRACT FROM AUTHOR]

This study examined college calculus instructors' preferences in solving two calculus tasks to examine college calculus instructors' use of important cognitive roots in understanding derivatives of function. Our results showed that only one instructor consistently uses cognitive roots while other instructors either focus on algebraic methods or expressing the constraints of students' knowledge, demonstrating their orientations and conflicts. These results potentially show what students experience when differentiation of function is taught. [ABSTRACT FROM AUTHOR]

Copyright of Journal of Shenyang Pharmaceutical University is the property of Shenyang Pharmaceutical University and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

The polysaccharide derivatives were obtained by sulfation, phosphorylation and carboxymethylation modification of the Anoectochilus roxburghii polysaccharides. The antioxidant activities were compared by scavenging model of 1,1-diphenyl-2-trinitrophenylhydrazine (DPPH) free radical, nitrite and nitric oxide (NO), and the antifatigue abilities were compared by weight-bearing swimming test in mice, in order to determine the optimal method for the derivation of A. roxburghii polysaccharides. The results showed that the molecular weights and protein contents of the modified polysaccharides were lower than those of A.roxburghii polysaccharides, while the 190~800 nm full-wavelength absorption spectra presented a certain similarity. Fourier transform infrared spectroscopy confirmed that the -OH groups were transformed into O-S, -COO, and P-OH bonds, respectively. Sulfated A.roxburghii polysaccharides had strong scavenging effects on DPPH free radicals, nitrite, NO, and the strongest antifatigue ability, which could improve the ability metabolism of the body by reducing the contents of creatine kinase (CK) and urea nitrogen (BUN) in sera, increasing the activities of lactate dehydrogenase (LDH), and improving the activities of Na+- K+-ATPase, Ca2+-Mg2+-ATPase, and ATP contents to achieve the goal of antifatigue. Therefore, sulfation would be a superior method for the derivation of polysaccharides from A. roxburghii. [ABSTRACT FROM AUTHOR]

In the paper, the estimates of generalized modulus of smoothness and best approximation in variable exponent grand Lebesgue spaces in terms of norms of derivatives of Fourier partial sums, Riesz–Zygmund and Euler means are given. Some characterizations of generalized Hölder spaces are obtained in terms of Riesz–Zygmund means. [ABSTRACT FROM AUTHOR]

Recent literature underlines the increasing use of online platforms in learning undergraduate mathematics, where students refer to these as supplementary resources to develop their mathematical understanding. Through an intrinsic case study, we focus on a highly viewed YouTube learning resource for learning derivative. The selected case is from 3Blue1Brown, a YouTube channel whose founder has received an award from the American Mathematical Society. The video has garnered more than 3.3 million views in the past couple of years. Reflecting on the relevant literature, a realization tree for derivative is developed and then used as an analytical tool to analyze this resource to explore what realizations have been used in it to facilitate students' understanding of derivative. The findings indicate that the analyzed YouTube resource discusses various realizations of derivative, including all its five main realizations, and effectively utilizes new digital technology for discussing these realizations. Such an exceptional resource for learning mathematics leads us to suggest that mathematics lecturers raise their awareness about such online free resources and incorporate them into their teaching packages when appropriate to facilitate student learning. [ABSTRACT FROM AUTHOR]

The potential of neuromorphic (NM) solutions often lies in their low-SWaP (Size, Weight, and Power) capabilities, which often drive their application to domains that could benefit from this. Nevertheless, spiking neural networks (SNNs), with their inherent time-based nature, present an attractive alternative also for areas where data features are present in the time dimension, such as time series forecasting. Time series data, characterized by seasonality and trends, can benefit from the unique processing capabilities of SNNs, which offer a novel approach for this type of task. Additionally, time series data can serve as a benchmark for evaluating SNN performance, providing a valuable alternative to traditional datasets. However, the challenge lies in the real-valued nature of time series data, which is not inherently suited for SNN processing. In this work, we propose a novel spike-encoding mechanism and two loss functions to address this challenge. Our encoding system, inspired by NM event-based sensors, converts the derivative of a signal into spikes, enhancing interoperability with the NM technology and also making the data suitable for SNN processing. Our loss functions then optimize the learning of subsequent spikes by the SNN. We train a simple SNN using SLAYER as a learning rule and conduct experiments using two electricity load forecasting datasets. Our results demonstrate that SNNs can effectively learn from encoded data, and our proposed DecodingLoss function consistently outperforms SLAYER's SpikeTime loss function. This underscores the potential of SNNs for time series forecasting and sets the stage for further research in this promising area of research. [ABSTRACT FROM AUTHOR]

Pyridine, a compound with a heterocyclic structure, is a key player in medicinal chemistry and drug design. It is widely used as a framework for the design of biologically active molecules and is the second most common heterocycle in FDA-approved drugs. Pyridine is known for its diverse biological activity, including antituberculosis, antitumor, anticoagulant, antiviral, antimalarial, antileishmania, anti-inflammatory, anti-Alzheimer's, antitrypanosomal, antimalarial, vasodilatory, antioxidant, antimicrobial, and antiproliferative effects. This review, spanning from 2022 to 2012, involved the meticulous identification of pyridine derivatives with antiproliferative activity, as indicated by their minimum inhibitory concentration values (IC50) against various cancerous cell lines. The aim was to determine the most favorable structural characteristics for their antiproliferative activity. Using computer programs, we constructed and calculated the molecular descriptors and analyzed the electrostatic potential maps of the selected pyridine derivatives. The study found that the presence and positions of the -OMe, -OH, -C=O, and NH2 groups in the pyridine derivatives enhanced their antiproliferative activity over the cancerous cellular lines studied. Conversely, pyridine derivatives with halogen atoms or bulky groups in their structures exhibited lower antiproliferative activity. [ABSTRACT FROM AUTHOR]

To address the substantial energy needs of the quickly evolving modern civilization, efforts are still needed to provide sustainable renewable energy sources. The electrocatalytic Oxygen evolution reaction (OER) is one of the essential technologies used in the various hydrogen production techniques. ZIF‐67 nanocubes (ZIF‐67 NCs) were synthesized in an aqueous solution and used as sacrificial templates. Cobalt nitrate hexahydrate was added under water bath conditions, resulting in the evolution of numerous small layered layers of cobalt hydroxide. This ultimately led to the formation of multilayered, three‐dimensionally crosslinked Co‐LDH with a porous networked cubic morphology. Hydrolysis of Co2+ at different concentrations produces different degrees of weak acidic environments, and the loose LDH on the cubic structure of the best catalyst, Co‐LDH‐1, exposes more active cobalt sites for the OER, which results in a high electrochemically active surface area, with an overpotential of 354 mV and a Tafel slope of 79.06 mV dec−1 at a current density of 10 mA cm−2, and good stability and low activation under alkaline condition also has good stability and low activation energy. It provides us an easy and practical plan for logically creating ZIF‐derived hydroxide materials, leading to the development of affordable and effective electrocatalysts. [ABSTRACT FROM AUTHOR]

Hederagenin (HG) is a natural pentacyclic triterpenoid that can be isolated from various medicinal herbs. By modifying the structure of HG, multiple derivatives with superior biological activities and safety profiles have been designed and synthesized. Accumulating evidence has demonstrated that HG and its derivatives display multiple pharmacological activities against cancers, inflammatory diseases, infectious diseases, metabolic diseases, fibrotic diseases, cerebrovascular and neurodegenerative diseases, and depression. Previous studies have confirmed that HG and its derivatives combat cancer by exerting cytotoxicity, inhibiting proliferation, inducing apoptosis, modulating autophagy, and reversing chemotherapy resistance in cancer cells, and the action targets involved mainly include STAT3, Aurora B, KIF7, PI3K/AKT, NF-κB, Nrf2/ARE, Drp1, and P-gp. In addition, HG and its derivatives antagonize inflammation through inhibiting the production and release of proinflammatory cytokines and inflammatory mediators by regulating inflammation-related pathways and targets, such as NF-κB, MAPK, JAK2/STAT3, Keap1-Nrf2/HO-1, and LncRNA A33/Axin2/ß-catenin. Moreover, antipathogen, anti-metabolic disorder, anti-fibrosis, neuroprotection, and antidepression mechanisms of HG and its derivatives have been partially elucidated. The diverse pharmacological properties of HG and its derivatives hold significant implications for future research and development of new drugs derived from HG, which can lead to improved effectiveness and safety profiles. [ABSTRACT FROM AUTHOR]

Autoimmune diseases (AID) have emerged as prominent contributors to disability and mortality worldwide, characterized by intricate pathogenic mechanisms involving genetic, environmental, and autoimmune factors. In response to this challenge, a growing body of research in recent years has delved into genetic modifications, yielding valuable insights into AID prevention and treatment. Sirtuins (SIRTs) constitute a class of NAD-dependent histone deacetylases that orchestrate deacetylation processes, wielding significant regulatory influence over cellular metabolism, oxidative stress, immune response, apoptosis, and aging through epigenetic modifications. Resveratrol, the pioneering activator of the SIRTs family, and its derivatives have captured global scholarly interest. In the context of AID, these compounds hold promise for therapeutic intervention by modulating the SIRTs pathway, impacting immune cell functionality, suppressing the release of inflammatory mediators, and mitigating tissue damage. This review endeavors to explore the potential of resveratrol and its derivatives in AID treatment, elucidating their mechanisms of action and providing a comprehensive analysis of current research advancements and obstacles. Through a thorough examination of existing literature, our objective is to advocate for the utilization of resveratrol and its derivatives in AID treatment while offering crucial insights for the formulation of innovative therapeutic approaches. [ABSTRACT FROM AUTHOR]

Copyright of Avances de Investigación en Educación Matemática is the property of Sociedad Espanola de Investigacion en Educacion Matematica and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Many studies reported the importance of mathematical justification in collaborative problem-solving (CPS). However, not all tasks could stimulate mathematical justification in CPS. This study explores the potential of a decision-making task in facilitating mathematical justification in CPS of a derivative topic. Two groups of 12 graders in Bandung, Indonesia solved a task. The group works were observed, recorded, and the written works were collected. The findings showed that the task encouraged the groups to focus on justifying mathematical claims. Both groups successfully solved the task, yet different mathematical justifications were observed. We discussed the possible roles of the task difficulty and groups’ mathematics ability in promoting mathematical justifications. Checking the effectiveness of the task on a larger sample was recommended for further studies.

We investigate the uniqueness problem of entire functions that share two polynomials with their $k$th derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best possible.

Fatigue is a physiological phenomenon experienced by the human body when it undergoes prolonged physical and mental exertion, which can have detrimental effects on both health and work productivity. Previous research has demonstrated that arctigenin (ArcG) has the ability to enhance the physical performance of mice during exercise. In this study, five ArcG derivatives containing different dipeptides coupled via an ethoxy linker were synthesized and tested for their activities to improve exercise performance in mice. All of the derivatives extended the exhaustion distance of mice in the running wheel test. Derivative Z-B-4 exhibited the highest activity, showing that the mice ran a distance 1.3-fold greater than that of the ArcG group and 3.4-fold greater than that of the sport control group. Furthermore, Z-B-4 was found to increase the concentrations of superoxide dismutase (SOD) and catalase (CAT), while simultaneously decreasing levels of lactic acid (LA) and blood urea nitrogen (BUN) during exercise. This study provides new references and promising lead compounds for the development of antifatigue agents. [ABSTRACT FROM AUTHOR]

Yıldırım obtained an asymptotic formula of the discrete moment of | ζ (1 2 + i t) | over the zero of the higher derivatives of Hardy's Z -function. We give a generalization of his result on Hardy's Z -function. [ABSTRACT FROM AUTHOR]

Fish gelatin (FG)-based wound dressings exhibit superior water absorption capacity, thermal stability, and gelation properties, which enhance the performance of these dressings. In this study, our objective was to investigate the conditions underlying the enzymatic hydrolysis of FG and subsequent cross-linking to prepare high-performance gels. A two-step enzymatic method of protease-catalyzed hydrolysis followed by glutamine transglutaminase (TGase)-catalyzed cross-linking was used to prepare novel high-performance fish gelatin derivatives with more stable dispersion characteristics than those of natural gelatin derivatives. Compared with conventional TGase cross-linked derivatives, the novel derivatives were characterized by an average pore size of 150 μm and increased water solubility (423.06% to 915.55%), water retention (by 3.6-fold to 43.89%), thermal stability (from 313 °C to 323 °C), and water vapor transmission rate, which reached 486.72 g·m−2·24 h−1. In addition, loading glucose oxidase onto the fish gelatin derivatives increased their antibacterial efficacy to >99% against Escherichia coli and Staphylococcus aureus. [ABSTRACT FROM AUTHOR]

In the paper, we investigate the uniqueness problem of a power of an entire function that share one value partially with its derivatives and obtain a result, which improve several previous results. Also in the paper we include some applications of our main result. [ABSTRACT FROM AUTHOR]

In this paper are studied the coordinate plane transformations that preserve the areas of bounded quadrable figures. Such transformations are called isoarcs. First, it is shown that the area of any bounded quadrable figure is equal to the sum of the areas of at most countable manifold of certain triangles disjoint two by two and located in this figure. Each of these triangles has a base parallel to the axis Ox. An example of a nonisometric isoaric transformation is shown. Consequently, the formula for the area of the figure bounded by an ellipse is derived without using integral calculus. The plane transformations, examined in this article, are essentisl to both fields, mathematics and economics. For a smooth transformation of the coordinate plane, is given a transformation represented by two functions of two variables with continuous first-order partial derivatives on the whole plane, so as a criterion is proved according to which this transformation is isoaric.

The option value has a nonlinear dependence relationship on risk factors existing in the capital market. Therefore, this paper considered utilizing Delta Gamma (Theta) Normal Approximation (DGTNA) as a nonlinear approach to determine the change of profit/loss of a European call option to assess the option risk. The method uses the second order of Taylor Polynomial around the stock price underlying the option to approximate the option profit/loss, which is crucial to construct the VaR based on DGTNA. VaR based on DGTNA also considered three Greeks, namely Delta, Gamma, and Theta, known as sensitivity measures in option. This research applied VaR based on DGTN approximation to analyze the European call option of Apple Inc (AAPL) and Barrick Gold Corporation (GOLD) for several strike prices. The performance of DGTN VaR analyzed by Kupiec Backtesting summarized that in this case, DGTN VaR provides the best risk assessment over different confidence levels (80, 90, 95, and 99 percent) compared to Delta Normal VaR and Delta Gamma Normal VaR.

The Dongzhongla deposit is a skarn-type lead–zinc ore deposit located in the eastern segment of the Gangdese metallogenic belt, situated in the Xizang province, China. The high-altitude mountainous terrain of the region poses significant challenges to ground-based exploration. To facilitate more accurate mineral exploration in the deposit and its surrounding area, a high-resolution airborne magnetic survey was conducted over the mining area and its periphery. The airborne magnetic data were processed using derivative and Euler deconvolution methods, yielding results that reflect the geological structural features of the study area. By integrating the geological characteristics of the ore deposit, we inferred that the areas of magnetic anomaly extensions and the peripheries of other magnetic anomalies are favorable zones for mineralization, providing positive leads for further mineral exploration.

Let Λ be the algebra of symmetric functions. We introduce Stirling partitions, factorial partition polynomials, partition differential equations and their corresponding partitions, and partition primitive functions. Most importantly, this investigation provides a new combinatorial coalgebra structure on Λ, and it characterizes the primitive elements in Λ using the Jacobian determinants of partition primitive functions.

Weak fault detection is still a hotspot in these years. The key of this work is to enhance the ratio of signal to noise (SNR). Then a new extraction method of weak fault impact based on amplification algorithm is proposed. Since the fault impact is related to bigger derivative, the amplification function combined with the derivative of the vibration signal is used to amplify the amplitude of the impact. Then Sparse Spike Deconvolution (SSD) which has been widely used in earthquake for impact detection is able to extract small impact from the signal processed by amplification function. Then, in order to enhance the periodicity of fault impacts, the compression function is used to compress the amplitude of bigger impacts according to different scales. At last, the experiment result shows that the proposed method is more effective than the common envelope analysis. [ABSTRACT FROM AUTHOR]

Copyright of Economica: Revistă Ştiinţifico-Didactică is the property of Academy of Economic Studies of Moldova (AESM) / Academia de Studii Economice din Moldova (AESM) and its content may not be copied or emailed to multiple sites or posted to a listserv without the copyright holder's express written permission. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)

Ecological models of competition have provided great explanatory power regarding synonymy in derivational morphology. Competition models of this type have certainly shown their utility, as they have demonstrated, among other things, the relevance of frequency measures, productivity, compositionality and analyzability when comparing the development of morphological constructions. There has been less consideration of alternative models that could be used to describe the historical co-development of suffixes that produce words with sometimes similar forms or meanings but are not inevitably or solely in competition. The symbiotic model proposed in this article may help answer larger questions in linguistics, such as how best to analyze certain multilingual morphological phenomena, including the emergence of semantically similar forms within the same language. The present study demonstrates the importance of a diachronic approach in situations of near-synonymy, as an understanding of semantic similarity necessitates a review of the available historical record. In particular, our study focuses on the case of the suffix -eer (e.g., marketeer) in English, analyzing its origins, semantics, compositionality, and historical development, including its symbiotic relationship to the similar suffix -er (e.g., marketer). [ABSTRACT FROM AUTHOR]

A popular strategy to reduce the spectral size of HyperSpectral Images (HSI) is to suppress all bands whose information content is largely duplicated in surviving bands. This is commonly termed Band Selection (BS). In this manuscript, a novel, unsupervised BS technique is proposed, consisting of three main steps: 1) Adjacent structural-similarity-based band partitioning, 2) for each partition, correlation-based, cluster-representative band selection, and 3) bad cluster removal using an Entropy measure. Initially, the adjacent structural similarity is measured, using Structural SIMilarity Index (SSIM); the next step is adjacency-partitioned cluster formation using a derivative-based approach. Then, a representative band with a high correlation is selected for each cluster. Finally, according to the Entropy measure, the cluster representatives are ranked to obtain the optimal subset of bands. The proposed Adjacency Clustering and Local Structural Correlation (ACLSC)-based BS is compared with other state-of-art approaches in terms of classification performance on benchmark HSI datasets. Overall Accuracy (OA), Average Accuracy (AA), and Kappa ($\kappa $ κ) are computed on three datasets, namely, Indian Pines, Salinas, and Pavia University, to validate the proposed algorithm. Validation results support the use of adjacency clustering and incorporation of spatial-structural features for BS purposes. [ABSTRACT FROM AUTHOR]

On 24 June 1994 at Fairchild Air Force Base, during practice for an air show, a low-flying B-52H aircraft banked its wings vertically and crashed. Emphasizing the activity of modeling drag and gravity, these notes examine the possibility of recovery with several models. First, with algebra, historical data lead to a model where in a free fall near Earth's surface, the distance fallen is proportional to time squared. Calculus then gives an ordinary differential equation to model free fall near Earth's surface. Second, with calculus, historical data lead to various models of drag on objects moving through air. Third, combining models of drag and gravity with Newton's Laws of Motion leads to ordinary differential equations that model free fall in air. Fourth, predictions from such models with ordinary differential equations are consistent with the aircraft crash. Further models examine the possibility of increasing engine thrust to regain the vertical component of lift. All models fit in a first course in differential equations, without requiring any computational machinery. However, numerical experiments show how uninformed use of professional software can produce rounding errors to cause the modelled aircraft to plunge to the bottom of the deepest oceans and shoot up into space. [ABSTRACT FROM AUTHOR]

Simple Summary: Canine mammary cancer (CMC) is the most prevalent neoplasm in intact female dogs, with approximately 50% of these cases diagnosed as malignant. Various chemotherapeutic agents have been applied in CMC treatment, but these agents come with notable disadvantages and limited information on efficacy. The benzo[6,7]oxepino[3,2-b] pyridine (BZOP) derivative, 2-((2-methylpyridin-3-yl)oxy)benzaldehyde (MPOBA), exhibited potent anticancer activity against a human colorectal cancer cell line. However, the anticancer effects and molecular mechanisms of MPOBA on CMC have not been elucidated. This study investigated the effects of MPOBA on proliferation, migration, and apoptosis and investigated its potential mechanism in two CMC cell lines, REM134 canine mammary carcinoma and CMGT071020 canine mammary tubulopapillary carcinoma. Furthermore, an in vitro cytotoxicity test was also evaluated in the Madin–Darby canine kidney (MDCK) cell line. The results revealed that MPOBA significantly inhibited proliferation and migration and induced apoptosis in CMC cell lines. In addition, MPOBA showed lower cytotoxicity in MDCK cells. According to the gene expression analysis, the mRNA expression levels of TP53 tumor suppressor (TP53), Bcl-2 associated X (BAX), and B-cell lymphoma-2 (BCL-2) in both CMC cells were significantly altered in the treatment groups compared to the control. These results suggested that MPOBA may have induced apoptosis in both CMC cell lines. This effect may be mediated through the downregulation of BCL-2 and upregulation of BAX gene expressions. These findings indicated that MPOBA may serve as an emerging candidate agent for CMC treatment. However, mRNA expression levels may not be directly proportional to protein expression levels. Therefore, additional studies, including apoptosis-related protein analysis and apoptosis marker assays, are required to confirm the major apoptosis signaling pathway regulated by MPOBA. CMC is the most frequently diagnosed cancer and one of the leading causes of death in non-spayed female dogs. Exploring novel therapeutic agents is necessary to increase the survival rate of dogs with CMC. MPOBA is a BZOP derivative that has a significant anticancer effect in a human cell line. The main goal of this study was to investigate the anticancer properties of MPOBA against two CMC cell lines (REM134 and CMGT071020) using a 3-(4,5-Dimethyl-2-thiazolyl)-2,5-diphenyl-2H-tetrazolium bromide (MTT) assay, a wound healing assay, a transwell migration assay, an Annexin V-FITC apoptosis assay with a flow cytometry analysis, a mRNA expression analysis using quantitative real-time PCR (qRT-PCR), and an immunohistochemistry (IHC). According to the accumulated studies, MPOBA caused significant concentration- and time-dependent reductions in cell proliferation and cell migration and induced apoptosis in both CMC cell lines. In gene expression analysis, nine canine genes, including TP53, BCL-2, BAX, epidermal growth factor receptor (EGFR), snail transcription factor (SNAIL), snail-related zinc-finger transcription factor (SLUG), TWIST, E-cadherin, and N-cadherin, were investigated. The mRNA expression results revealed that MPOBA induced upregulation of TP53 and overexpression of the pro-apoptotic gene BAX, together with an inhibition of BCL-2. Moreover, MPOBA also suppressed the mRNA expression levels of SNAIL, EGFR, and N-cadherin and induced upregulation of E-cadherin, crucial genes related to the epithelial-to-mesenchymal transition (EMT). However, there was no significant difference in the IHC results of the expression patterns of vimentin (VT) and cytokeratin (CK) between MPOBA-treated and control CMC cells. In conclusion, the results of the present study suggested that MPOBA exhibited significant anticancer activity by inducing apoptosis in both CMCs via upregulation of TP53 and BAX and downregulation of BCL-2 relative mRNA expression. MPOBA may prove to be a potential candidate drug to be further investigated as a therapeutic agent for CMC. [ABSTRACT FROM AUTHOR]

This paper considers polynomial characteristics useful for a better understanding of the behaviour of these functions. Taylor series for the polynomials are described by the items with even and odd derivatives and powered changes in the argument, which leads to more specific studying of their properties. Connections between the derivative and antiderivative of the polynomial functions are defined. The structure of polynomial functions reveals their specific characteristic that the mean value of their roots equals the mean value of the locations of the critical points such as the extrema and inflection points. Derivatives of the quadratic exponent in relation to an interesting connection of two transcendental numbers are also described. The discussed properties of the polynomials can be helpful for practical implementations and educational purposes. [ABSTRACT FROM AUTHOR]

It is important to recognize the great diversity of monosaccharides commonly encountered in animals, plants, and microbes, as well as to organize them in a visually interesting style that also emphasizes their similarities and relatedness. This article discusses the nature of building blocks, monosaccharides, and monosaccharide derivatives—terms commonly used in discussing "glycomolecules" found in nature. To aid in awareness of monosaccharide diversity, here is presented a Periodic Table of Monosaccharides. The rationale is given for construction of the Table and the selection of 103 monosaccharides, which is largely based on those presented in the KEGG and SNFG websites of monosaccharides, and includes room to enlarge as new discoveries are made. The Table should have educational value and is intended to capture the attention and foster imagination of those not very familiar with glycosciences, and encourage researchers to delve deeper into this fascinating area. [ABSTRACT FROM AUTHOR]

Metformin (Met), a first-line management for type 2 diabetes mellitus, has been expansively employed and studied with results indicating its therapeutic potential extending beyond glycemic control. Beyond its established role, this therapeutic drug demonstrates a broad spectrum of action encompassing over 60 disorders, encompassing metabolic conditions, inflammatory disorders, carcinomas, cardiovascular diseases, and cerebrovascular pathologies. There is clear evidence of Met's action targeting specific nodes in the molecular pathways of these diseases and, intriguingly, interactions with the intestinal microbiota and epigenetic processes have been explored. Furthermore, novel Met derivatives with structural modifications tailored to diverse diseases have been synthesized and assessed. This manuscript proffers a comprehensive thematic review of the diseases amenable to Met treatment, elucidates their molecular mechanisms, and employs informatics technology to prospect future therapeutic applications of Met. These data and insights gleaned considerably contribute to enriching our understanding and appreciation of Met's far-reaching clinical potential and therapeutic applicability. [ABSTRACT FROM AUTHOR]

We investigate the uniqueness problem of entire functions that share two polynomials with their kth derivatives and obtain some results which improve and generalize the recent result due to Lü and Yi (2011). Also, we exhibit some examples to show that the conditions of our results are the best possible. [ABSTRACT FROM AUTHOR]