Volume 13 | Issue 11 |

 Abstract

Water has consistently functioned as one of the most potent symbols in literature, religion, and philosophy. From representing life and purity to embodying destruction and renewal, water serves as a complex cultural metaphor across civilizations. This article examines the symbolism of water by engaging with Muhammad Hussain Azad's Aab-e ?ay?t, Sufi mystical thought, Hindu sacred river traditions, and the Western literary canon, with particular emphasis on Shakespeare and T.S. Eliot. It argues that water functions as both an existential and spiritual motif, unifying aesthetic, theological, and ecological discourses.

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Water symbolism, Urdu literature, Sufism, Hindu sacred rivers, purification, immortality, environmental humanities

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Creative Commons Attribution 4.0 and The Open Definition

 Abstract

Diophantine equations of higher degrees, play a meaningful role in generating special elliptic curves that are crucial for cryptography and secure communications. In this paper, I was focused given Diophantine equation with more than 8 unknowns and focused on a study to find integer design of solutions Diophantine Equation ?(X^4+Y^4 )^2 (3U^2+V^2 )=T^2 (C^2+D^2 )(Z^2+W^2 ) P^? With ?>0,?=2,3,?=1,2,3,4,5,6,7 and x

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Diophantine Equation, exponential, Pythagorean triplet, Integer design.

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Creative Commons Attribution 4.0 and The Open Definition

 Abstract

The rapid growth of the Internet of Things ) and smart devices is revolutionizing electronic commerce (e-commerce) by enabling seamless connectivity, personalization, and automation across the business ecosystem. IOT - integrated smart devices enhance customer experience, optimize supply chains, and provide data-driven insights for better decision-making. However, IOT adoption in ecommerce also raises concerns about cyber security, interoperability, and the ethical use of consumer data. This paper explores the technological foundations, applications, opportunities, and challenges of IOT in e-commerce, highlighting its trans formative role in shaping innovative business models and redefining customer engagement. It also examines future directions, emphasizing sustainability and secure digital transformation.

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Keywords:Internet of Things,Smart Devices,E- Commerce ,Digital Transformation, Supply Chain

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Creative Commons Attribution 4.0 and The Open Definition

 Abstract

This paper focused on a study to find integer design of solutions Diophantine Equation ?(X^4+Y^4 )(?U^2+V^2 )=T^2 (C^2-D^2 )(Z^2-W^2 ) P^? With ?>0,?>0 and X0,?>0 and X2 is parameterized by integers k and n, with variables defined as: x = k^n,y=k^(n+1),z=k^(n+3),w=k^(n+2),p=k^n, U=2^(n+1), V=2^n , T=3(2)^n , ?=(1+k^4 )(k^6-k^4 ) k^(?-2)n n^2 , and {?(C=(((1+k^4)/2)^2+1)n,D=(((1+k^4)/2)^2-1)n, if 1+k^4 is even@C=(((1+k^4 )^2+1)/2) )n,D=(((1+k^4 )^2-1)/2)n, if 1+k^4 is odd)}. for ?=1 is x = k^n,y=k^(n+1),z=k^(n+3),w=k^(n+2),p=k^2n,U=2^(n+1),V=2^n ,T=3(2)^n , ?=(1+k^4 )(k^6-k^4 ) n^2 and {?(C=(((1+k^4)/2)^2+1)n,D=(((1+k^4)/2)^2-1)n, if 1+k^4 is even@C=(((1+k^4 )^2+1)/2) )n,D=(((1+k^4 )^2-1)/2)n, if 1+k^4 is odd)}. for ?=2 is x = k^n,y=k^(n+1),z=k^(n+3),w=k^(n+2),p=k^n,U=2^(n+1),V=2^n ,T=3(2)^n , ?=(1+k^4 )(k^6-k^4 ) n^2 and {?(C=(((1+k^4)/2)^2+1)n,D=(((1+k^4)/2)^2-1)n, if 1+k^4 is even@C=(((1+k^4 )^2+1)/2) )n,D=(((1+k^4 )^2-1)/2)n, if 1+k^4 is odd)}. Lemma 2: At ?=3, the Diophantine equation ?(X^4+Y^4 )(3U^2+V^2 )=T^2 (C^2-D^2 )(Z^2-W^2 ) P^? With ?>0,?>0 and X2 is parameterized by integers k and n, with variables defined as: x = k^n,y=k^(n+1),z=k^(n+3),w=k^(n+2),p=k^n, U=3^n, V=3^n , T=2(3)^n , ?=(1+k^4 )(k^6-k^4 ) k^(?-2)n n^2 , and {?(C=(((1+k^4)/2)^2+1)n,D=(((1+k^4)/2)^2-1)n, if 1+k^4 is even@C=(((1+k^4 )^2+1)/2) )n,D=(((1+k^4 )^2-1)/2)n, if 1+k^4 is odd)}. for ?=1 is x = k^n,y=k^(n+1),z=k^(n+3),w=k^(n+2),p=k^2n,U=3^n, V=3^n , T=2(3)^n , ?=(1+k^4 )(k^6-k^4 ) n^2 and {?(C=(((1+k^4)/2)^2+1)n,D=(((1+k^4)/2)^2-1)n, if 1+k^4 is even@C=(((1+k^4 )^2+1)/2) )n,D=(((1+k^4 )^2-1)/2)n, if 1+k^4 is odd)}. for ?=2 is x = k^n,y=k^(n+1),z=k^(n+3),w=k^(n+2),p=k^n,U=3^n, V=3^n , T=2(3)^n , ?=(1+k^4 )(k^6-k^4 ) n^2 and {?(C=(((1+k^4)/2)^2+1)n,D=(((1+k^4)/2)^2-1)n, if 1+k^4 is even@C=(((1+k^4 )^2+1)/2) )n,D=(((1+k^4 )^2-1)/2)n, if 1+k^4 is odd)}

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Diophantine Equation, exponential, Pythagorean triplet, Integer design.

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Creative Commons Attribution 4.0 and The Open Definition

 Abstract

Abstract: Diophantine equations of higher degrees, play a meaningful role in generating special elliptic curves that are crucial for cryptography and secure communications. In this paper, I was focused given Diophantine equation with more than 8 unknowns and focused on a study to find integer design of solutions Diophantine Equation ?(X^4+Y^4 )^2 (3U^2+V^2 )=T^2 (C^2+D^2 )(Z^2-W^2 ) P^? With ?>0,?=2,3,?=1,2,3,4,5,6,7 and x

Licence: creative commons attribution 4.0

  License

Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Diophantine Equation, exponential, Pythagorean triplet, Integer design.

  License

Creative Commons Attribution 4.0 and The Open Definition

 Abstract

Diophantine equations of higher degrees, play a meaningful role in generating special elliptic curves that are crucial for cryptography and secure communications. In this paper, I was focused given Diophantine equation with more than 8 unknowns and focused on a study to find integer design of solutions Diophantine Equation ?(X^4+Y^4 )^2 (2U^2+V^2 )=T^2 (C^2+D^2 )(Z^2+W^2 ) P^? With ?>0,?=2,3,?=1,2,3,4,5,6,7 and x

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Diophantine Equation, exponential, Pythagorean triplet, Integer design

  License

Creative Commons Attribution 4.0 and The Open Definition

 Abstract

Diophantine equations of higher degrees, play a meaningful role in generating special elliptic curves that are crucial for cryptography and secure communications. In this paper, I was focused given Diophantine equation with more than 8 unknowns and focused on a study to find integer design of solutions Diophantine Equation ?(X^4+Y^4 )^2 (2U^2+V^2 )=T^2 (C^2+D^2 )(Z^2-W^2 ) P^? With ?>0,?=2,3,?=1,2,3,4,5,6,7 and x

Licence: creative commons attribution 4.0

  License

Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Diophantine Equation, exponential, Pythagorean triplet, Integer design

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Creative Commons Attribution 4.0 and The Open Definition

 Abstract

Agriculture plays a vital role in sustaining the global economy, yet inefficient water management remains a major challenge in conventional irrigation practices. This paper presents a Solar Power IoT-Based Smart Automatic Drip Irrigation System designed to optimize water usage and improve crop productivity using renewable energy. The proposed system integrates solar energy, IoT technology, and smart sensors to monitor and control soil moisture, temperature, and environmental conditions in real time. Solar panels provide a sustainable power source, ensuring continuous operation even in remote agricultural areas lacking grid connectivity.The system employs moisture and temperature sensors interfaced with a microcontroller and Wi-Fi module to transmit data to a cloud platform. Based on predefined thresholds, the system automatically controls solenoid valves for precise water delivery through a drip mechanism, minimizing wastage. Farmers can remotely monitor field conditions and irrigation status via a mobile or web application, enabling data-driven decision-making. Experimental results demonstrate that the system significantly reduces water consumption and energy costs while enhancing overall irrigation efficiency. This research highlights the potential of integrating IoT with renewable energy for sustainable and smart agriculture applications.

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 Keywords

Solar Energy, IoT (Internet of Things) ,Smart Irrigation ,Drip Irrigation System , Water Management, Smart Agriculture ,Arduino ,Sensors (Soil Moisture, Temperature, Humidity) , Sustainable Farming ,Real-time Monitoring,Precision Agriculture,Wireless Communication

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Creative Commons Attribution 4.0 and The Open Definition

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This paper examines the practices of unsustainable consumption in India and its impact on the environment, across several sectors. Increased population coupled with increasing incomes and improving standards of living has led to an increase in waste generation from packaging, greenhouse emissions, wastewater etc. Additionally, increased consumption by human beings leads to resource depletion and pollution in the environment. In order to combat this, a shift is required sustainable consumption faces, which however, faces several challenges such as rigid lifestyles and personal habits, higher cost and low accessibility of sustainable products and services, weak policy enforcement as well as 'greenwashing' by producer firms. In order to address these issues, many measures have been suggested such as awareness campaigns, promotion of sustainable choices, improved infrastructure for provision of sustainable solutions, stricter policy enforcement as well as government initiatives. It concludes that promoting sustainable consumption is a shared responsibility that could be achieved by combining efforts for individual awareness, appropriate industrial ecosystem and conducive policy action.

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Sustainable Consumption, Sustainable Consumption Behaviour, India, Fast Fashion, Environmental Impact, Environmental Policy

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Creative Commons Attribution 4.0 and The Open Definition

 Abstract

Oral Lichen Planus (OLP) is a chronic inflammatory disorder affecting the oral mucosa, with diverse clinical presentations and a risk of malignant transformation. Early and precise assessment of lesions, along with prediction of immunotherapy outcomes, is critical for personalized patient care. Manual evaluation is time-intensive and prone to variability among clinicians. In this study, we introduce a hybrid deep learning framework that combines Convolutional Neural Networks (CNNs) for detailed spatial feature extraction with Transformer modules for capturing long-range contextual information. A multimodal fusion strategy further integrates lesion imaging features with patient-specific clinical data to predict individualized therapy responses. Experiments on a curated oral lesion dataset demonstrate that our approach achieves superior segmentation accuracy and predictive performance compared to existing baseline models. The framework offers a reproducible, interpretable, and automated tool to support precision oral healthcare and data-driven treatment planning.

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Creative Commons Attribution 4.0 and The Open Definition

 Keywords

Keywords Oral Lichen Planus; Deep Learning; CNN-Transformer; Lesion Segmentation; Multimodal Fusion; Immunotherapy Prediction; Personalized Medicine

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Creative Commons Attribution 4.0 and The Open Definition