Convolution of some slanted half-plane mappings with harmonic strip mappings

In this paper, we show that the convolution of generalized half-plane mapping and harmonic vertical strip mapping with dilatation eⁱᶱ zⁿ (n ∈ N, θ ∈ R) is convex in a particular direction and also solve the problem proposed by Z. Liu et al. [Convolutions of harmonic half-plane mappings with harmonic vertical strip mappings, Filomat, 31 (2017), no. 7, 1843–1856].Publisher's VersionPMID-123

Indian Handicrafts: A Sustainable future of Utilitarian Consumer Goods

Utilitarian products are those which are designed to be useful rather than attractive. Handmade products are, thus, one among the wonders of Indian artisans, which are both useful and attractive at the same time. World-renowned Indian handicrafts are imported by several countries, which is highly supporting Indian art and culture. This is a source of livelihood for more than half of the unskilled labours and artisans of the Handicraft Industry. But with high-quality décor, luxurious items being exported to foreign lands, middleman income and trade fairs are sucking up most of the profits. Indian artisans and handicraft workers are therefore left with little income in hand except for the very famous art workers of big businessmen. This is one of the major problems which can be solved by encouraging the supply of handicrafts and domestic consumer demand. Since Indian consumers have been evolving through manufactured products, globalization, industrialization, etc. they are producing harmful effects on the environment and socio-economic conditions. Hence, it is very alarming for the handicraft sector to be able to protect its art and small business during an economic crisis. To address the small businesses and art of poor craftworkers this study intends to focus on the utilitarian aspect of handicrafts as being the sustainable alternative. The research broadly focusses on the socio-economic conditions of rural artisans and the environmental benefits of handicrafts by assessing the demand of domestic consumers and their perspectives. Based on primary data collected through the survey method, the study finds that domestic consumers are aware of the sustainable alternative handicrafts have to offer, while the utilitarian aspect has a vague response when it comes to purchasing handicrafts. However, demand for handicrafts is high because of their utilitarian aspect only. The study applied multiple regression analysis to analyse the results and conclude with suggestions based on qualitative research analysis to support rural handicraft artisans and small businesses. The study initiates a broad scope of research in consumer behaviour towards handicrafts in India as a sustainable alternative to mass production. This is one of the ways of supporting the cultural art forms as well as replenishing sustainability in the three major directions, which are economic, environmental & societal. Based on the empirical findings of this study, it concludes with the suggestions of co-existence with culture and sustainable development in India

Inventory Optimization of Deteriorating Items: A Comprehensive Review of Carbon-Control Policies and Their Impact on Shelf Life, Greening Effects, and Rework Policies

[EN] This study examines the deteriorating inventory management problem for items with short shelf life, considering alternative carbon control strategies from 2018 to 2023. These policies include carbon cap and trade, trade and credit policy, carbon-emission control, and others. The study takes into account critical elements such as shelf life, optimal policies, modelling approaches, greening effects, subsidies, and rework policies. The analysis started with a search for 'EOQ Model' in the Science Direct database, which generated 788 items. For a comprehensive evaluation, were restricted our resources to 329 scientific publications, including deterioration. Following that, it was limited to carbon emissions, obtaining 123 results. The papers referenced above cover a wide range of issues, including remanufacturing and rework, as well as carbon caps and trade-credit systems for data collection, yielding 45 and 32 research articles, respectively. The review prioritizes respected publications of peer-reviewed journals papers for reliable results were examined. A review of the literature suggested that future research should concentrate on stochastic modelling. The emphasis has been placed on identifying future study gaps that will aid in the development of most relevant models. The current work will serve as a guideline for selecting the suitable mathematical technique(s) and methodology(s) in various situations involving deteriorating items. The current analysis examined 42 research papers on deteriorating inventory modelling accessible in the literature to characterize its current state and indicate probable future directions. Future research needs have also been identified. This comprehensive study is firmly believed to fill a knowledge gap on deteriorating inventory and support in the formulation of appropriate methods for the creation of a successful and effective inventory control system for deteriorating products.Verma, P.; Mishra, VK. (2023). Inventory Optimization of Deteriorating Items: A Comprehensive Review of Carbon-Control Policies and Their Impact on Shelf Life, Greening Effects, and Rework Policies. WPOM-Working Papers on Operations Management. 15(1):39-56. https://doi.org/10.4995/wpom.20268395615

Pattern and management of penetrating and nonpenetrating thoracic injuries

Background: Chest trauma constitutes a major public health problem which  includes the injuries to chest wall, pleura, tracheobronchial tree, lungs, diaphragm, oesophagus, heart and great vessels. It consist of more than ten percent of all traumas and twenty five percent of death due to trauma occurs because of chest injury. Chest trauma is increasing in frequency in urban hospitals. Penetrating and nonpenetrating thoracic injuries the most serious injuries leading to significant morbidity and mortality.Methods: This study was prospective observational study of 220 patients of thoracic trauma both penetrating and non-penetrating. These patients admitted in general surgical units from August 2017 to May 2018  of Pandit Bhagwat Dayal  Sharma,  PGIMS  Rohtak Haryana India. The study was pertaining to both penetrating  and non-penetrating chest trauma.Results: Out of 220 chest injury patients who were studied during the said period, Males were 203 and females 17 by a ratio of 12:1 and age ranged from lowest 18 years to 85 years of age. Majority of the patients (90.45%) sustained blunt injuries. RTA was the common mechanism of blunt injury affecting (50.45%) of patients. Multiple Rib fractures was the commonest type of chest injury (21.36%) followed by head injury (17.27%). Head injury was the commonest associated injury seen in our patients. Conclusions: Chest trauma resulting from road traffic accident remains a major mechanism of chest injury. The  measures to decrease the trauma are, educating people about traffic rules and regulations and strictly implementing them is necessary to reduce incidence of chest injuries

CONSTRAINTS FACED BY PERSONS WITH DISABILITIES IN EMPLOYMENT

The study is absolutely an observational study used to measure empowerment of persons with disabilities through the improvement of entrepreneurial quality, development and imagination. Further research is expected to create, assess, evaluate, the significance of present study in other developing nations. India is frequently depicted as a developing yet a youthful nation. As the nation enters its 65th year of autonomous presence the depiction of youth does not appear to be excessively suitable. It can now be termed youthful by reason of the way that half of its billion or more populace comprises of persons underneath 25 years old and 65% of the populace is beneath 35 years. Every single differently abled individual has a leftover potential force than their non-disabled companions. Six to seven rate of populace in India is individuals with inability almost 8 to 9 crore individuals the number is expanding with mishaps and maturing. About 33% of aggregate number of individuals in India is influenced with some kind of incapacity

Harmonic multivalent functions associated with a (p,q)-analogue of Ruscheweyh operator

The aim of this paper is to introduce and investigate a new class of harmonic multivalent functions defined by (p,q)-analogue of Ruscheweyh operator for multivalent functions. For this new class, we obtain a (p,q)-coefficient inequality as a sufficient condition. Using this coefficient inequality, we establish sharp bounds of the real parts of the ratios of harmonic multivalent functions to its sequences of partial sums. We further consider a subclass of our new class and for which we obtain (p,q)-analogue of coefficient characterization which in fact helps us to determine its properties such as distortion bounds, extreme points, convolutions and convexity conditions. In the last section on conclusion, it is pointed out that the results obtained in this paper may also be extended to some generalized classes.Publisher's Versio

Interim use of Hyrax Screw Assembly for Single-Step Closure of Small Alveolar Cleft Prior to Anterior Maxillary Distraction Osteogenesis: A technical note

Anterior maxillary distraction osteogenesis (AMDO) is often used for correction of maxillary retrognathia in select cleft lip and palate cases. Restoration of alveolar arch continuity is desirable prior to initiation of AMDO in these cleft maxillary deformities. However, AMDO is technically difficult in a patient with coexisting alveolar cleft where there is a discontinuity of the defect that presents a challenge in terms of adequate vector control of movement of anterior segment and potential risk of tipping of teeth which already have compromised anchorage/bone support on the cleft side. Treatment process becomes further challenging when ongoing management is compounded by failed previous alveolar cleft grafting procedures along with the patient’s reluctance to undergo further grafting of alveolar clefts. Herein, we report a technical note demonstrating a novel application of the modification of the hyrax screw wherein an initially fully opened Hyrax screw was utilized as an interim assembly for accomplishing single-step closure of small alveolar cleft prior to commencement of anterior maxillary distraction osteogenesis. This technique may prove to be feasible for patients presenting with alveolar cleft defects of smaller widths of up to 5 mm and relatively well-aligned upper arches. Keywords: Alveolar Cleft; AMDO; Hyrax Screw; Single-Step Closure

Utility-Aware Optimal Resource Allocation Protocol for UAV-Assisted Small Cells with Heterogeneous Coverage Demands

In this paper, we consider a UAV-assisted small-cell having heterogeneous users with different data rates and coverage demands. Specifically, we propose a novel utility-aware resource-allocation protocol to maximize the utility of UAV by allowing it to simultaneously serve the highest possible number of heterogeneous users with available energy resources. In this regard, first, we derive a closed-form expression for the rate-coverage probability of a user considering Rician fading to incorporate the strong line of sight (LoS) component in UAV communication. Next, since this UAV utility maximization problem is non-convex and combinatorial, to obtain the global optimal resource allocation policy we propose an iterative feasibility checking method for fixed integers ranging from lower to upper bound on the number of users that can be served by UAV. To further reduce the complexity, we formulate an equivalent problem aimed at minimizing per user energy consumption, where tight analytical relaxation on rate-coverage probability constraint is used along with semi-closed expressions for joint-optimal power and time allocation. Lastly, via detailed numerical investigation, we validate our analytical claims, present insights on the impact of key system parameters, and demonstrate that 60% more users can be served using the proposed scheme, as compared to relevant benchmarks.Comment: 16 pages, 13 figures, and accepted for publication in IEEE Transactions on Wireless Communication