Paper Title

A GENERAL REVIEW ON THE CONTRIBUTION OF ANCIENT INDIAN MATHEMATICIANS

Abstract

In the field of mathematics, especially in algebra, calculus, mensuration, and trigonometry, huge development occurs because of our ancient Indian mathematicians, who contributed their whole lives in different fields of mathematics. Since it has its history of more than 4000 years, blooming for a long time in the past, the equivalence of modernity was seen in Europe. Afterwards, it dispersed in China, Asia, and the eastern portion, especially in its middle part. In addition to the discovery of zero, our ancient mathematicians made innovative contributions in the field of geometry, arithmetic, the binary system, negative numbers, and many other areas. The most important groundbreaking invention of an Indian mathematician was the decimal place value system, which is used now overall in the world was initially developed in India. the period of 400BCE to 1600 BCE, which is considered the classical period, is generally called the golden era of Indian mathematics. Meanwhile, many Indian mathematicians such as Aryabhata, Varahamihira, Brahmagupta, Bhaskara I, Bhaskara II, and Mahavira, Madhava of Sangamagrama, and Nilakantha Somayaji spread their work and explored many other branches of mathematics. The current paper aims to study ancient Indian mathematician and their contribution to the field of mathematics.
KEYWORDS : Trigonometry, Mensuration, Calculus, Arithmetic, Golden age.

Paper Title

ANALYTICAL STUDY OF LATERAL LOAD RESISTANCE OF TALL RCC BUILDINGS WITH VERTICAL STRUCTURAL IRREGULARITIES

Abstract

The increasing urbanization and demand for space in rapidly growing cities have led to the development of tall reinforced cement concrete (RCC) buildings. These buildings, especially those with vertical structural irregularities, often face significant challenges when subjected to lateral loads such as wind and seismic forces. The presence of vertical irregularities can cause non-uniform distribution of forces within the structure, potentially resulting in excessive deflection, torsion, and instability under lateral loads. This study investigates the seismic performance of tall buildings with vertical irregularities, focusing on the impact of outriggers and core walls. The research involves a FEM-based analysis using ETABS software to assess a 20m x 15m reinforced concrete (RC) frame building with a maximum height of G+20 stories, located in seismic zone III. 3 models were Analysed to compare the effects of placing an outrigger system at the 10th and 20th floors, in conjunction with core walls. The seismic performance of each model was evaluated in terms of lateral deflection, story drifts, and story shear. Results indicate that the model with the outrigger system at the 10th floor demonstrated a significant reduction in lateral deflection compared to the other models. The use of an outrigger system effectively controlled story drifts and shear forces, thereby improving the overall seismic resilience of the building. This study highlights the importance of optimizing lateral load-resisting mechanisms in tall buildings, particularly in seismic zones, to enhance stability and structural performance.
KEYWORDS : Tall reinforced cement concrete (RCC), Seismic zone, ETABS software

Paper Title

RESUME PARSER USING KNOWLEDGE GRAPH AND RAG

Abstract

The increasing demand for efficient talent acquisition has driven the adoption of automated tools for resume parsing, a critical component in recruitment workflows. This dissertation explores the integration of Large Language Models (LLMs) and Knowledge Graphs to design an advanced resume parser capable of extracting, structuring, and contextualizing information with unprecedented accuracy. Leveraging the contextual understanding and natural language processing capabilities of LLMs, the proposed system transcends traditional keyword-based parsing by interpreting nuanced details such as career progression, domain expertise, and skill associations. Complementing this, Knowledge Graphs provide a structured representation of relationships between entities, enabling the system to infer and validate connections, such as linking ambiguous skill terminologies to standardized categories or identifying hierarchical relationships within job roles. The architecture combines LLMs for semantic analysis with Knowledge Graphs for relational reasoning, ensuring scalability, adaptability to diverse resume formats, and enhanced interpretability. Real-world applicability is validated through case studies in recruitment pipelines, demonstrating the system\'s ability to streamline candidate selection and reduce manual intervention.
KEYWORDS : Extraction, Knowledge graphs, Large Language Models, Retrieval Augmented Generation

Paper Title

ADVANCED IMAGE PROCESSING AND PLANT HEALTH MONITORING FOR HYDROPONICS USING HIGH-PERFORMANCE COMPUTING

Abstract

The application of high-performance computing (HPC), specifically Message Passing Interface (MPI), in conjunction with sophisticated techniques for image processing, has transformed monitoring and management capabilities of plant health within hydroponic systems. This research paper discusses the role of HPC in improving the precision and effectiveness of monitoring plant health in hydroponics. With powerful computational resources at their disposal, real-time image analysis and machine learning can now be performed to build frameworks aimed towards early detection of various diseases, nutrient scarcity, and environmental stressors on plants. Proposed systems incorporating imaging devices with heightened resolution capture data using multispectral and hyperspectral cameras which are subsequently processed using HPC for Big Data parallel processing and analysis. Machine learning algorithms are taught to recognize minute alterations concerning a given threshold value holistically within the plant structure or its spectral signatures and therefore enable timely corrective actions so that resource allocation are optimally utilized. Results obtained showcase an enhanced accuracy when markers for plant wellness were tracked alongside better yields in conjunction with efficiency of resources utilized in farming hydroponically.
KEYWORDS :

Paper Title

REAL NUMBERS WITH THEIR FASCINATING PROOFS

Abstract

The current research aims entire fact about real no.s and another system of numbers incorporated within it. Here are a few crucial proofs including fascinating & significant applications in present scenario also in maths. Real no.s defined as numbers denoted by system of number line. The system of no. line is likely to principle ruler by which we can compute segments length in geometry of Euclidean. Real number presence invented calculus system, therefore real no. are backbone of universe. Real numbers are classified into three categories namely order property, algebraic property & completeness properties. The typical procedure of building of real no. is conversion rational no. into real no.s. The present research paper covers the study of real number in binary & decimal extension.
KEYWORDS : Extension, real numbers, scenario, conversion.

Paper Title

ANALYSIS OF THE PERFORMANCE AND RELIABILITY OF VLSI INTERCONNECTS

Abstract

Transistor integration and downsizing were key to early semiconductor advancements, but connection constraints today drive performance. The industry has responded to this by implementing two major strategies: switching from aluminum/silicon dioxide (Al/SiO₂) to copper/low-k (Cu/low-k) interconnects systems and adding numerous metal line layers. Despite providing better electrical performance, copper interconnects have reliability issues include electromigration-induced deterioration, early via failures, and grain structure impacts. The length of on-chip interconnects has expanded dramatically due to technological scaling, which has prompted sophisticated integrated circuits to design with interconnects in mind. While low-k dielectrics seek to minimize RC latency, power consumption, and crosstalk, higher current densities amplify Joule heating. Advanced interconnect performance analysis is required because standard modeling often fails to properly forecast bandwidth and latency in complex System-on-Chip (SoC) designs. In order to maintain the scalability and functionality of next semiconductor technologies, this research looks at the performance and dependability of Cu-based interconnects.
KEYWORDS : Analysis, Performance, Reliability of VLSI, Semiconductor interconnects, RC delay.

Paper Title

STRUCTURAL PERFORMANCE OF PERVIOUS CONCRETE PAVEMENTS INCORPORATING MARGINAL AGGREGATES

Abstract

This study investigates the structural performance of pervious concrete pavements incorporating marginal aggregates, focusing on compressive strength, flexural strength, durability, and shrinkage characteristics. With urbanization increasing the demand for sustainable pavement solutions, pervious concrete offers dual benefits of load-bearing capacity and hydrological efficiency. The research evaluates whether pervious concrete mixtures using alternative aggregates can meet structural requirements for low-traffic pavements and pedestrian infrastructure. Experimental results demonstrate that marginal aggregates can be effectively utilized without compromising structural performance, providing a cost-effective and sustainable alternative for infrastructure applications.
KEYWORDS : Pervious concrete, marginal aggregates, compressive strength, flexural strength, structural performance, sustainable pavements

Paper Title

A STUDY ON VERTEX DOMINATION IN UNITARY DIVISOR CAYLEY GRAPHS

Abstract

In this paper we study the vertex cover and vertex covering number of the unitary divisor Cayley graph.
KEYWORDS : Unitary divisor, Unitary divisor Cayley graph, Vertex Set, Vertex cover, Vertex covering number.