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In this paper, the authors introduce two new classes of series type additive functional Equations (FEs). The first class of equations is derived from the sum of the squares of the alternative series and the second one is obtained from the sum of the cubes of the series. The solution of the FE is investigated using the principle of mathematical induction. The beauty of this method lies in the fact that it satisfies the property of the additive FE as well as the series. Banach spaces are one of the widely-used spaces that are very helpful to analyse the stability results of various FEs. The Banach space conditions have been applied and the stability results are established for both of the equations. Furthermore, the Banach Contraction principle and alternative of fixed point theorem are used to derive the stability results in a fixed point technique (FPT). The relationship between the FEs and both the series is established through the principle of mathematical induction in the Application section, which adds novelty to the derived results.

In this article, a new kind of bilateral symmetric additive type functional equation is introduced. One of the interesting characteristics of the equation is the fact that it is ideal for investigating the Ulam–Hyers stabilities in two prominent normed spaces, namely fuzzy and random normed spaces simultaneously. This article analyzes the proposed equation in both spaces. The solution of this equation exhibits the property of symmetry, that is, the left of the object becomes the right of the image, and vice versa. Additionally, the stability results of this functional equation are determined in fuzzy and random normed spaces using direct and fixed point methods.

In this article, a new class of real-valued Euler–Lagrange symmetry additive functional equations is introduced. The solution of the equation is provided, assuming the unknown function to be continuous and without any regularity conditions. The objective of this research is to derive the Hyers–Ulam–Rassias stability (HURS) in intuitionistic fuzzy normed spaces (IFNS) by applying the classical direct method and fixed point techniques (FPT). Furthermore, it is proven that the Euler–Lagrange symmetry additive functional equation and the control function, which is the IFNS of the sums and products of powers of norms, is stable. In addition, a few examples where the solution of this equation can be applied in Fourier series and Fourier transforms are demonstrated.

The main focus of this paper is to develop certain types of fundamental theorems using q, q(α), and h difference operators. For several higher order difference equations, we get two forms of solutions: one is closed form and another is summation form. However, most authors concentrate only on the summation part. This motivates us to develop closed-form solutions, and we succeed. The key benefit of this research is finding the closed-form solutions for getting better results when compared to the summation form. The symmetric difference operator is the combination of forward and backward difference symmetric operators. Using this concept, we employ the closed and summation form for q, q(α), and h difference symmetric operators on polynomials, polynomial factorials, logarithmic functions, and products of two functions that act as a solution for symmetric difference equations. The higher order fundamental theorems of q and q(α) are difficult to find when the order becomes high. Hence, by inducing the h difference symmetric operator in q and q(α) symmetric operators, we find the solution easily and quickly. Suitable examples are given to validate our findings. In addition, we plot the figures to examine the value stability of q and q(α) difference equations.

The development of unmanned aerial vehicles (UAVs) is expected to become one of the most commercialized research areas in the world over the next decade. Globally, unmanned aircraft have been increasingly used for safety surveillance in the construction industry and civil engineering fields. This paper presents an aerial image-based approach using UAVs to inspect cracks and deformations in buildings. A state-of-the-art safety evaluation method termed SMART SKY EYE (Smart building safety assessment system using UAV) is introduced; this system utilizes an unmanned airplane equipped with a thermal camera and programmed with various surveying efficiency improvement methods, such as thermography, machine-learning algorithms, and 3D point cloud modeling. Using this method, crack maps, crack depths, and the deformations of structures can be obtained. Error rates are compared between the proposed and conventional methods.

Multiple hazards, which threaten people’s lives and property, are the main concern for engineers in preventing dangers to buildings. In particular, densely populated areas, such as capital cities and tall buildings, are exposed to higher risks owing to multiple hazards. To rapidly evaluate the disaster assessment of tall buildings, the Federal Emergency Management Agency (FEMA) in the U.S. proposed the integrated rapid visual screening system (IRVS). However, the IRVS system only considers U.S. conditions. Therefore, a Korean-oriented rapid visual screening system should be developed because the number of buildings over 200 m in Korea ranked fourth in the world with the highest density (500 people per square kilometer) among the top five countries based on the Council on Tall Buildings and Urban Habitat’s (CTBUH) database. This study describes a Korea-rapid visual screening (K-RVS) system that focuses on the structural safety of tall buildings in Korea. The K-RVS system was modified based on the IRVS, considering the Korean design standard (KDS) and Korean conditions. With the weight value for each characteristic, the scores for each hazard and final scores combined from the scores by multi-hazard can be obtained to conduct a disaster assessment of tall buildings subjected to multiple hazards.

This study presents a tube-in-tube buckling-restrained brace (BRB) infilled with lightweight and rapid hardening polymer. The proposed BRB consists of a circular or square tube core encased with a tube of similar shape and polymer infill. The tube-in-tube arrangement minimizes the filler material volume and enables the use of rolled steel section as opposed to welded profiles commonly utilized when large BRB axial strength is required, although welded profiles suffer from low assembly accuracy resulting from welding deformation. The infilled polymer has a density of approximately half that of mortar and requires a curing time of 24 h, enabling weight and fabrication time reduction. The stability and inelastic deformation capability of the BRB were investigated through brace and subassembly tests of six circular and four-square full-scale specimens, followed by finite element analysis. The test results show that circular BRB designed with a Pcr/Py ratio of 1.46 exhibited a stable hysteresis up to 1.42% and 1.06% core strain in tension and compression, respectively. Circular and square specimens designed with Pcr/Py ratios ranging from 0.82 to 1.06 exhibited stable hysteresis before failing by global buckling at compressive core stains ranging from 0.86% to 1.09%. The slot weld detail adopted for welding core projection stiffener displayed a stable performance in circular BRB specimens, while it resulted in large plastic strain demand in square BRB specimens, leading to core fracture at tensile core strains ranging from 0.64% to 0.71%.

Toxoplasmosis is a significant global zoonosis with devastating impacts, and an effective vaccine against toxoplasmosis for humans has not yet been developed. In this study, we designed and formulated a novel DNA vaccine encoding the inhibitor of STAT1 transcriptional activity (IST) of T. gondii utilizing the eukaryotic expression vector pEGFP-N1 for the first time, with CL264 being a molecular adjuvant. Following intramuscular injection of the vaccine into mice, the levels of antibodies and cytokines were assessed to evaluate the immune response. Additionally, mice were challenged with highly virulent RH-strain tachyzoites of T. gondii , and their survival time was observed. The results show that the levels of IgG in serum, the ratio of IgG2a/IgG1 and the levels of IFN-γ in splenocytes of mice were significantly higher in the pEGFP-TgIST group and the pEGFP-TgIST + CL264 group than in the control group. In addition, the proportion of CD4+/CD8+ T cells was higher in mice immunized with either the pEGFP-TgIST group ( p < 0.001) or the pEGFP-TgIST + CL264 group ( p < 0.05) compared to the three control groups. Notably, TgIST-immunized mice exhibited prolonged survival times after T. gondii RH strain infection ( p < 0.05). Our findings collectively demonstrate that the TgIST DNA vaccine elicits a significant humoral and cellular immune response and offers partial protection against acute T. gondii infection in the immunized mice, which suggests that TgIST holds potential as a candidate for further development as a DNA vaccine.

Happiness is the ultimate life goal for most people, and the pursuit of happiness serves as the fundamental motivation driving human behavior. Orientation to Happiness (OTH) represents the aspect that individuals seek when making decisions or engaging in activities, including values, priorities, motivations, ideals, and goals. Nevertheless, existing research has predominantly approached OTH from an individualistic perspective, emphasizing an individual's internal emotional state and personal goals, thereby neglecting the significant influence of a collectivist cultural background on the pursuit of happiness. To address this research gap, our study employs qualitative research methods, enabling us to delve deeply into the intricate interplay between cultural context, societal influences, and individual motivations that collectively shape OTH. Our research is dedicated to understanding the structure of OTH within the Chinese cultural context. Through semi-structured interviews with 26 Chinese adults and the utilization of an inductive style of thematic analysis, we have identified two core themes within the OTH of Chinese adults: Self-focused and Other-focused. Notably, the "Other-focused" theme emphasizes the pursuit of group harmony and the fulfillment of group responsibilities, highlighting the paramount role of "relationships" in the study of happiness within collectivist cultures. This insight forms a robust foundation for future research in this area.

Due to different understandings of happiness, people adopt different tendencies to act, which is called orientation to happiness (OTH). Our previous study found that OTH had two core themes, Self-focused and Other-focused in Chinese culture, which was different from OTH structures in Western culture. However, no corresponding measurement tool has been developed or revised. The Hedonic and Eudaimonic Motives for Activities Scale (HEMA) was the most commonly used measurement tool of OTH in recent years. The present study aimed to develop a Chinese version of the HEMA. A total of 1729 Chinese adults participated in this study. The exploratory factor analysis (EFA) and confirmatory factor analysis (CFA) were used to examine the underlying structure of the Chinese version of the HEMA. The results supported the 3-factor structure of the translation instrument, and the 15-item scale had good convergent and discriminant validity. The three dimensions were named Hedonism, Eudaimonism, and Otherism. Among them, Otherism is a new dimension, which means "the pursuit of the harmony of the group and achieving happiness by fulfilling their responsibilities in the group". The revised tool was named the Hedonic, Eudaimonic, and Otheristic Motives for Activities Scale-Chinese (HEOMA-C). The results showed that the HEOMA-C has good reliability and validity. Overall, the present study provided an effective tool to assess the OTH in Chinese culture., Competing Interests: The authors declare no conflict of interest.

This study investigates the impact of various sources of social support on the mental health of unaccompanied children under residential education in China. Unaccompanied children refer to those whose parents are still alive but unable to raise them due to various reasons. The study utilized self-reported questionnaires administered at two time waves, with the first wave (T1) evaluating family support, teacher support, and peer support, and the second wave (T2) evaluating depression, subjective well-being, and resilience. A total of 202 participants completed both surveys. To examine the predictive effect of different sources of social support on the mental health of these children, the study used the structural equation model with depression and subjective well-being as indicators. The results show that neither family support nor teacher support (T1) had a significant effect on the mental health (T2) of the children. However, peer support (T1) had a significant positive predictive effect on mental health (T2), indicating the unique role of peer support in promoting the mental health of unaccompanied children. The study also explored the mediating role of resilience between social support and well-being, revealing that though the direct effect of teacher support (T1) on mental health (T2) was not significant, the indirect mediating effect of resilience on the relationship between teacher support and mental health was significant. Both the direct and indirect effect of family support (T1) on mental health (T2) were not significant. These findings highlight the importance of creating a positive peer environment for unaccompanied children to promote their mental health. This study has important practical implications for the development of effective intervention programs aimed at improving the mental health of this population.