The mappings σ are one-to-one and such that σm(ok) ≠ ok for all advantageous integers ok and m, wherein σm(ok) denotes the mth iterate of the mapping σ at ok. Thus Ф extends the restrict useful on c, the distance of convergent sequences, withinside the experience that Ф(x) = lim ξk for all x ∈ c. In case σ is the interpretation mapping ok→ok+1, an invariant suggest is frequently known as a Banach restrict and Vσ, the set of bounded sequences all of whose invariant approach are equal, is the set

Recommender systems represent a high economic, social, and technological impact at international level due to the most relevant technological companies have been used them as their main services considering that user experience and companies sales have been improved. For this reason, these systems are a principal research area, and the companies optimize their algorithms with hybrid approaches that combine two or more recommendation strategies. A systematic literature review on the hybrid approa

The importance cited in literature is enforcing to worker that they give a lot of attention on their traditional flora to catalogue their antimicrobial or anti-infectious properties. In this series Rajasthan also have its endemic flora, which have a lot of interest for ethnopharmacology.Over 50% of all modern clinical drugs are of natural product origin (Stuffne and Douros 2003) and natural products play an important role in drug development programs in the pharmaceutical industry (Baker et. al.

शिक्षा जीवन की नींव होती है। और इस नींव को समय के अनुरूप ढालकर और मजबूत करते जाना चाहिए। आज के आधुनिक युग में जहां तकनीक और संचार क्रांति जोरों पर है, वहीं कोरोना जैसी महामारी ने इसे फास्ट फारवर्ड कर दिया है। स्कूल क्लासरूम की जगह अब वर्चुअल क्लास रूम में पढ़ाई हो रही है। तकनीक और संचार क्रांति ने असंभव लगने वाली चीजों को भी संभव कर दिया है। ये बदलाव सिर्फ शहरी क्षेत्रों में ही नहीं है बल्कि भारत के सुदूर ग्रामीण क्षेत्रों की भी यही कहानी है। आज भले ही वर्तमान परिस्थितियों की वजह से हम ई-लर्निंग

Today, agroforestry is recognized as an integrated applied science that has the potential for addressing many of the land-management and environmental problems found in both developing and industrialized nations. Numerous and diverse AFSs can be found in the tropics, partly because of their favorable climatic conditions, and partly because of the socioeconomic factors such as human population pressure, higher labor availability, smaller land-holding size, complex land tenure, and closer proximi

With increasing globalization and mobility of’ men, there has been created a huge market for Communication skills in English. Nowadays a sound knowledge of English is an elementary and essential condition to attain competence in the professional world both at the national and international level. English being the major language of international business is spoken as a second or third language in many countries of the world including India. Proficiency or deficiency in the knowledge of this lang

गंगा-यमुना दोआब यानि मेरठ-सहारनपुर मंडल। यूपी में सबसे उपजाऊ माने जाने वाले इस इलाके में रासायनिक खादों के धुआंधार प्रयोग के चलते यहां सतह से 45 सेमी नीचे की मिट्टी पत्थर के सामान हो गयी है। 67 विकास खंड क्षेत्रो में से 47 की स्थिति भयावह है। वहां आर्गेनिक कार्बन प्रतिशत 0.8 प्रतिशत से अधिक होने के बजाय घटकर .3 से .4 प्रतिशत रह गया है। जिंक, आयरन, पोटाश, सल्फर का भी यही हाल है। गेहूं उत्पादन 5-10 प्रतिशत घट चुका है। गन्ना व धान फसल भी प्रभावित हो सकती है। क्षेत्रीय भूमि परीक्षण प्रयोगशाला मेरठ

This research paper aims to explore the intricacies of risk management and portfolio optimization in the stock market. With its inherent complexity and volatility, the stock market presents both challenges and opportunities for investors. Maximizing returns while minimizing risk is a fundamental goal for investors, and achieving this requires a deep understanding of risk management techniques, portfolio optimization models, and the incorporation of modern financial theories. This paper delves in

This research article explores the evolving role of teachers as facilitators in the modern educational landscape. Traditional teaching methods are giving way to more student-centered approaches, where teachers facilitate learning rather than dictate it. This study combines a systematic review of existing literature and empirical research to investigate the changing dynamics and the significance of teachers as facilitators in today's classrooms.

---- It is completely free to take part in any of the activities. The typical method is to register for the service to be attended in order to keep track of each student individually. Another method of determining attendance is the biometric system. Biometric recognition systems are used to recognise physical or behavioural traits such as the iris, voice, face, and fingerprints. Nonetheless, these procedures have proven to be time-consuming and boring. This marks the end of the counting procedur

Overall, this research paper aims to provide currency payment gateways on the adoption of digital currencies in mainstream commerce. As the use of Crypto currencies continues to grow, the need for reliable and secure payment gateways for Crypto currency transactions becomes increasingly important. This research paper aims to provide an in- depth analysis of Crypto currency payment gateways and their importance in the world of digital currencies. The paper will discuss the working mechanism of

The term "Internet of Things" (IoT) refers to a network of interconnected computing devices that includes millions of sensors and actuators that are connected via wired or wireless channels to transmit data. More than 25 billion devices are projected to be linked by 2020, a testament to the exponential growth of the Internet of Things (IoT) during the last decade. These gadgets will emit more data than before significantly during the next several years. Not only does the volume of data generated

An MIMO antenna based on meander lines with an L-shaped metallic strip for multiband operation is shown in this study. A monopole antenna with numerous sections of short-circuited transmission line works as an inductor and changes the antenna's impedance characteristics; this configuration is called a meander line. By using a line slot DGS (Defective Ground Structure) to decrease the mutual coupling between the antenna components and inserting two U slots on the ground plane, a 69% reduction in

Water is one of the precious natural resources that exist on our planet Earth. Without water, survival is not possible. In rural areas, water is an integral part of human life specially in agricultural field. Potable safe water is totally essential for healthy living. Adequate supply of fresh and clean water may be a basic requirement for all person on the planet. Due to over exploitation and poor management, the matter of beverage pollution and water quality management has assumed an awfully a

Financial integration plays a crucial role in determining the efficiency and stability of financial markets within an economy. In the case of India, a rapidly developing economy with increasing participation in global financial markets, understanding the impact of macroeconomic factors on financial integration is essential for policymakers, investors, and market participants. This study aims to investigate the relationship between various macroeconomic factors and financial integration in India.

समाज मानव जीवन का एक चिरन्तन आधार है, मानव- जीवन के प्रारम्भ से ही समाज उसके साथ है। प्रत्येक समाज की अपनी कोई-न-कोई व्यवस्था होती है, जहाँ व्यक्ति परस्पर अधिकारों एवं कर्तव्यों से जुड़े रहते हैं।1 सभी समाजांे की व्यवस्था यह मानकर चलती है कि सभी व्यक्तियों को अपने पूर्ण विकास के समान अवसर प्राप्त हों। मनुष्य-मनुष्य के बीच किसी भी प्रकार का भेदभाव नहीं हो, सबको समान शिक्षा, सुविधाएँ, वेतन, सम्पत्ति एवं जीवन अवसर प्राप्त हों। दुनिया का कोई भी समाज ऐसा नहीं है जहाँ किसी न किसी आधार पर विषमता न पायी

इस शोध का प्राथमिक लक्ष्य यह निर्धारित करना है कि उच्च माध्यमिक शिक्षा में छात्रों के बीच शैक्षणिक सफलता और स्कूल समायोजन के बीच किस हद तक संबंध है, साथ ही पुरुष और महिला छात्रों, ग्रामीण छात्रों के बीच मौजूद प्रमुख असमानताओं की जांच करना है। शहरी क्षेत्रों, और कला और वैज्ञानिक धाराओं के छात्रों को उनके स्कूल समायोजन के संदर्भ में। इस अध्ययन को करने के लिए, शोधकर्ता ने एक शोध दृष्टिकोण का उपयोग किया जिसे वर्णनात्मक सर्वेक्षण अनुसंधान के रूप में जाना जाता है। पश्चिम बंगाल राज्य के उच्च माध्यमिक व

The influence of social media on travel choices has grown exponentially in recent years, particularly among youth. This paper explores the role of social media influencers in shaping the travel destination choices of young people in India. By analyzing the impact of influencer marketing on travel behavior, the paper aims to understand how social media personalities affect destination attractiveness and decision-making processes. The study draws on quantitative and qualitative data, including sur

User experience (UX) design is a critical factor in determining how successful digital library systems are in the modern digital age. This study explores how UX design might improve the usability, accessibility, and contentment of users of digital libraries. Through a comprehensive review of current literature, analysis of UX principles, and evaluation of case studies, this research identifies key challenges and best practices in designing user-centric digital library interfaces. It

This study examines variables affecting worker performance and engagement from a sample of Delhi, India-based retailing businesses. Using the purposive sample technique, 150 respondents were chosen and given a questionnaire. Descriptive and inferential statistical techniques were used for measurement in order to take respondents' responses into account and make decisions appropriately. With an emphasis on non-financial elements, the study measured employee engagement in connection to organizatio

One of the key components of learning mathematics is developing a growth attitude. With regard to these psychological elements, students believe that they can enhance their mathematical intelligence by actively and diligently learning mathematics, by not being afraid to face challenges, by not accepting praise, and by providing en7couragement for their friends' academic success. In order to capture the complex working mechanisms of growth mindset, this study will take a gander at students' growt

High-volatility portfolios pose significant challenges for investors, particularly in dynamic markets like India. This research investigates the effectiveness of risk management strategies tailored to high-volatility portfolios, emphasizing lessons derived from the Indian financial markets. By analyzing historical data and employing quantitative and qualitative methods, this study evaluates the impact of diversification and hedging strategies on portfolio performance. Key findings reveal that diversification across sectors and asset classes significantly reduces risk, while hedging improves risk-adjusted returns during market downturns. Additionally, behavioral insights from portfolio managers highlight the critical role of investor sentiment in strategy implementation. This research contributes to portfolio management literature by offering actionable recommendations for investors to navigate high-risk scenarios effectively, utilizing dynamic asset allocation and advanced analytics. The findings underline the importance of integrating market-specific factors and behavioral considerations into risk management frameworks for high-volatility portfolios.

The COVID-19 pandemic that began in early 2020 has had a profound impact on global commerce, forcing businesses to rapidly adopt digital technologies in order to survive and remain competitive in an increasingly uncertain environment. This research investigates the role of digital transformation in commerce during the pandemic, exploring how businesses leveraged e-commerce platforms, digital payments, artificial intelligence (AI), and automation to adapt to the challenges posed by widespread lockdowns, supply chain disruptions, and changing consumer behaviors. The paper utilizes a qualitative research design, including case studies, interviews with business leaders, and consumer surveys, to analyze how different industries navigated this abrupt shift. The findings highlight the exponential growth of e-commerce, with many companies pivoting to online sales and digital services to meet consumer demand. Additionally, the pandemic accelerated the adoption of digital payment systems, reducing reliance on cash transactions and promoting contactless, mobile-based payments. Artificial intelligence and automation were also critical in enabling businesses to optimize supply chains, manage inventory, and offer personalized services to customers despite limited physical interaction. The study concludes that the digital transformation accelerated by the pandemic is not just a temporary shift, but rather a long-term reconfiguration of commerce that will influence business models, consumer behaviors, and economic trends in the years to come. Recommendations for businesses, policymakers, and researchers are provided, emphasizing the need for continued investment in digital infrastructure and tools to ensure future resilience and growth in a post-pandemic world.

The rapid digital transformation India has undergone has especially affected consumer buying behavior, particularly around e-commerce. The purpose of this paper is to investigate the key elements influencing customers' choices to purchase online in Haryana, a significant Northern Indian state. Consumers are being pushed to progressively move their focus to online channels for their purchasing demands as more smartphones and internet access become available. This study investigates the ways in which customer choices are influenced by factors such as convenience, trust, discounts, product diversity, and digital literacy. A methodical survey and statistical analysis drive the study. Although younger, urban consumers are more inclined to buy online, the statistics indicate that digital buying patterns are slowly become more common among rural and older populations. Among other factors, the study emphasizes the significance of e-commerce platforms stressing consumer trust, secure payment mechanisms, honest product depiction, and digital inclusion strategies.

This study reviewed the rise and use of sampling theory in information analysis. Using both literature reviews and computer simulations, I evaluated different sampling techniques, starting with well-known ones and moving on to newer types. The findings revealed that new sampling techniques lead to better reconstruction and lower errors in accuracy, especially with complicated multimedia information. These methods, however, demand more powerful computing equipment. They confirm that accurately sampling large populations with minimal effort is an important goal and they guide future studies on how adaptive algorithms can be improved.