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**Place:** Jadcherla
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**Date:**
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---
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**ACKNOWLEDGEMENT**
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The satisfaction that accompanies the successful completion of a task would be incomplete without the mention of the people who made it possible, whose constant guidance and encouragement crowned all efforts with success.
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We avail ourselves of this opportunity to express our deep sense of gratitude and hearty thanks to the Principal **(Insert Principal's Name here if known, otherwise keep as is)**, Dr. BRR Government Degree College, Jadcherla.
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We would like to thank our guide, Smt. R. Vijayalaxmi Devi, for her expert guidance and encouragement at various stages of our Project.
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We express our deep sense of gratitude and thanks to all the Teaching and Non-Teaching Staff of our college who supported us during the project and helped us make it a successful venture.
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We place the highest regards to our Parents, Friends, and Well-wishers who provided invaluable support during the preparation of this project report.
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* M. Swetha (19033006405548)
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* M. Srinu (19033006405550)
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* N. Harika (19033006405551)
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* P. Bindu (19033006405555)
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---
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**ABSTRACT**
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This project involves the development of an online voting system utilizing a centralized database with a web interface. The core concept is to build a website that allows registered citizens to cast their votes online. Key advantages include time savings, reduced administrative workload, timely availability of information, and enhanced data security.
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In a large democracy like India, achieving 100% voter turnout remains a challenge. Many factors hinder participation, such as the difficulty for citizens (especially the elderly and physically challenged) to travel to polling stations or individuals residing in remote locations far from their registered constituency.
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Traditional paper-based voting systems and even current electronic methods face issues like potential vote rigging, insecure or inaccessible polling stations, inadequate polling materials, and the need for experienced personnel.
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This Online Voting System aims to address these challenges. It provides citizens with flexibility during the voting period. Every eligible citizen registers first, with their details managed in a centralized database. During elections, citizens log in using their secure credentials to cast their vote.
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---
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**CONTENTS**
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1. **Introduction**
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* Motivation
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* Problem Definition
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* Objectives of the Project
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* Limitations of the Project
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2. **Literature Survey**
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* Introduction
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* Existing System
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* Disadvantages of Existing System
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* Proposed System
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* Advantages of Proposed System
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3. **Analysis**
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* Introduction
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* Software Requirement Specification (SRS)
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* User Requirements
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* Software Requirements
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* Hardware Requirements
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* Architecture of the Project
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* Technologies Used
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4. **Design**
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* Introduction
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* UML Diagrams (Use Case, Class, Sequence)
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5. **Implementation and Results**
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* Introduction
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* Explanation of Key Functions
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* Method of Implementation (Iterative Model)
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* Output Screens
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* Result Analysis
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6. **Testing and Validation**
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* Introduction
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* Design of Test Cases and Scenarios
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* Validation Results
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7. **Conclusion**
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* Summary
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* Future Scope / Enhancements
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8. **References**
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---
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**1. INTRODUCTION**
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Elections allow the populace to choose their representatives and express preferences regarding governance. An effective election system must be robust enough to withstand various fraudulent activities and sufficiently transparent and comprehensible for voters and candidates to accept the results. Crucially, the voting system must be tamper-resistant.
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Online voting systems are software platforms designed for securely conducting elections over the internet. As digital platforms, they eliminate the need for paper ballots and physical presence at polling stations. Currently, voting in many places relies on ballot papers or Electronic Voting Machines (EVMs) at designated locations, with manual counting often being time-consuming and prone to errors like invalid votes.
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Our proposed system automates both the voting and counting processes, making elections easier, faster, and more secure. It aims to protect the integrity of every vote by preventing multiple voting attempts by the same individual. Online voting services can save time, promote adherence to best practices, and meet internal requirements or external regulations, such as the need for third-party vote administration.
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**Motivation**
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Elections are fundamental to a democratic nation. Traditional paper-based voting or the use of EVMs requires citizens to travel to polling stations, often leading to large gatherings. In situations like pandemics, such gatherings pose health risks, yet elections remain essential. Furthermore, citizens located far from their registered constituencies (e.g., military personnel, students, migrated workers) face difficulties traveling back home to vote. Elderly or infirm individuals may find it challenging to travel and wait in long queues. To overcome these issues, we identified the need for an online voting system.
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**Problem Definition**
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Modern lifestyles often leave citizens with limited time, contributing to less than 100% voter turnout in India's democracy. To make voting more convenient, accessible, and secure, an online system is proposed. A voter first registers and then logs in. After authentication (e.g., via OTP), the voter accesses the voting page, casts their vote, and logs out. Authorized personnel can view real-time results.
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**Objectives of the Project**
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* To modernize the voting process by bringing it online, aligning with the trend of digitizing services.
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* To enhance convenience, allowing citizens (especially those in remote locations, serving in the military, or studying/working elsewhere) to vote easily.
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* To prevent tampering and rigging of votes.
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* To provide high security through robust authentication mechanisms.
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* To potentially increase the overall voting percentage.
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**Limitations of the Project**
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This project develops a website for online voting. While security is paramount, the current implementation relies primarily on OTP (One-Time Password) authentication sent via email/SMS. Although OTP provides a reasonable level of security, future enhancements could incorporate more robust methods like fingerprint or cornea scanning, potentially integrated with national databases like Aadhaar for stronger identity verification.
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*(Note: The "Organization of Documentation" section was redundant with the Contents list and has been removed.)*
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---
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**2. LITERATURE SURVEY**
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**Introduction**
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In today's digital age, numerous activities, from shopping to official arrangements, are conducted online. Extending this convenience to elections seems a logical progression. Especially during health crises like pandemics, minimizing large gatherings is crucial, making online voting an attractive alternative.
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* **Vote Anytime, Anywhere:** Modern life allows little free time. Offering citizens the ability to vote within minutes from any location with an internet connection, without needing to travel to a specific polling booth at a specific time, could significantly improve accessibility.
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* **Boost Participation:** By increasing convenience, online voting is likely to boost voter turnout, as more eligible citizens can participate regardless of their location or time constraints.
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* **Reduced Physical Infrastructure:** Online voting eliminates the need for extensive physical infrastructure like paper ballots, printing, ballot boxes (physical urns), and large numbers of polling staff, potentially leading to lower costs.
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* **Fast and Easy Vote Tallying:** Automated vote counting eliminates human errors common in manual processes and drastically speeds up the declaration of results.
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* **Security:** A critical factor. Our proposed system employs OTP authentication. Further research explores more advanced security measures.
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Based on existing platforms, key components include:
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* **Voters:** The target users who utilize the platform to exercise their right to vote.
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* **Services:** The core functionality allowing registered and authenticated users to cast their vote.
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* **Results:** A feature allowing authorized users (and potentially the public, depending on configuration) to view election results.
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* **Security:** Mechanisms like OTP authentication to ensure voter identity and prevent fraud.
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We utilized HTML, CSS, and JavaScript for front-end development, and PHP for back-end logic and database interaction (MySQL via XAMPP). Visual Studio Code served as the primary code editor. XAMPP provided the necessary Apache server, MariaDB database, and PHP interpreter environment. We researched various OTP generation methods and implemented a random OTP generation approach.
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**Existing System**
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India primarily uses traditional paper-based ballots or EVMs at designated polling stations. Both methods require voters to be physically present, leading to potential crowding and accessibility issues.
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**Disadvantages of Existing System**
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* Requires physical presence at polling stations.
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* Potential for long queues and waiting times.
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* Accessibility issues for the elderly, disabled, or remotely located citizens.
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* Risk of large gatherings, problematic during health crises.
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* Time-consuming manual vote counting (with paper ballots).
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* Logistical challenges (transporting materials, staffing booths).
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* Potential for booth capturing or rigging (though mitigated by security).
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* Inaccessible polling stations in some remote or difficult terrains.
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**Proposed System**
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To overcome the limitations of the existing systems, we propose an online voting system using a centralized database and a web interface.
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**Advantages of Proposed System**
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* Enables voters to cast ballots remotely from any location with internet access.
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* Potential to increase voter turnout by overcoming geographical and time barriers.
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* Enhanced security using authentication mechanisms (OTP in this version) and potentially linking to national IDs (like Aadhaar) in future versions.
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* Provides a private and potentially safer channel for voting.
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* Increases accessibility for citizens abroad, those with mobility issues, or difficulties traveling.
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* Reduces organizational and implementation costs compared to traditional polling.
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* Automated, faster vote counting, minimizing human error and speeding up result declaration.
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* Eliminates the possibility of invalid or spoiled votes common with paper ballots.
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* Allows for instant or near-instant access to results for authorized entities.
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---
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**3. ANALYSIS**
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**Introduction**
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System analysis involves gathering, interpreting, and understanding the requirements and data needed for the online voting system. This phase is crucial for comprehending how the system should function and defining the project's scope and requirements accurately.
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**Software Requirement Specification (SRS)**
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The SRS captures a complete description of the system's intended behavior, capabilities, constraints, and overall requirements.
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* **3.2.1 User Requirements:**
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* The system must allow registered and eligible citizens (voters) to cast their vote securely.
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* The system must authenticate users rigorously before granting access to voting (using OTP in this implementation).
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* Each user should be allowed to cast only one vote per election.
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* Voting should only be permissible during the official election period.
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* Users should be able to view election results (potentially after the election concludes or based on permissions).
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* Administrators should be able to manage voter data, candidate lists, and election periods.
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* **3.2.2 Software Requirements:**
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* **Operating System:** Windows, Linux, macOS (for development/hosting)
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* **Web Server:** Apache (provided via XAMPP)
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* **Database:** MySQL/MariaDB (provided via XAMPP)
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* **Programming/Scripting Languages:** PHP (Server-side), HTML, CSS, JavaScript (Client-side)
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* **Development Tools:** Visual Studio Code (or similar IDE), XAMPP
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* **Web Browser:** Compatible with modern browsers (e.g., Chrome, Firefox, Safari, Edge)
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* **3.2.3 Hardware Requirements (Minimum Server/Client):**
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* **Processor:** Core i3 equivalent or higher
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* **RAM:** 2 GB or higher
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* **Hard Disk Space:** 25 GB or higher (allowing for OS, database, application)
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* **Internet Connection:** Required for users and server operation.
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**Architecture of the Project**
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The system architecture involves a central database managed by administrators and a web application accessible to voters.
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1. **Registration:** New users register through the website, providing necessary details (e.g., name, Aadhaar number, email/phone for OTP). This data is stored in the database. Validation prevents duplicate registrations based on unique identifiers (like Aadhaar).
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2. **Login:** Registered users log in using their credentials (e.g., username/Aadhaar number and password).
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3. **Authentication:** The system verifies the user's identity, typically by sending an OTP to their registered email or phone number. The user enters the OTP to proceed.
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4. **Voting:** Authenticated users are directed to the voting page where they can view candidates and cast their vote. The system ensures they can vote only once.
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5. **Vote Recording:** The cast vote is securely recorded in the database, linked to the voter but ensuring anonymity as required.
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6. **Results:** Authorized users (like election officials) can access real-time or final results generated from the database. Voters might see final results after the election closes.
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7. **Logout:** Users can securely log out after voting or browsing.
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This architecture automates the election process, enhances security, saves time, and makes results readily available.
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**Technologies Used**
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* **HTML (HyperText Markup Language):** Standard markup language for creating web page structure and content.
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* **CSS (Cascading Style Sheets):** Describes how HTML elements are displayed (layout, colors, fonts), enabling consistent styling across multiple pages via external stylesheets.
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* **JavaScript (JS):** Used for:
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* Client-side validation of forms (reducing server load).
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* Dynamically updating web page content without full reloads (e.g., using AJAX).
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* Creating interactive user interface elements.
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* Handling user events (clicks, inputs).
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* **PHP (Hypertext Preprocessor):** A widely-used, open-source server-side scripting language used for:
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* Generating dynamic web page content.
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* Processing form data submitted by users.
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* Interacting with the database (MySQL/MariaDB) to store and retrieve data (voter info, votes, candidates).
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* Managing user sessions and authentication.
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* Sending emails (e.g., for OTP).
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* **MySQL/MariaDB:** A popular open-source relational database management system used to store and manage all application data.
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* **Apache:** An open-source HTTP server used to host the website and process PHP requests.
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* **XAMPP:** A free, cross-platform web server solution stack, bundling Apache, MariaDB, PHP, and Perl, simplifying the local development environment setup.
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**4. DESIGN**
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**Introduction**
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The design phase translates the requirements identified during analysis into a blueprint for implementation. It outlines the system's structure, components, modules, interfaces, and data organization. This phase develops one or more design models that guide the construction of the software.
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**UML Diagrams**
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UML (Unified Modeling Language) is a standard graphical language for specifying, visualizing, constructing, and documenting software systems. UML diagrams help in understanding both the static structure and dynamic behavior of the system. We use the following diagrams:
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* **Use Case Diagram:**
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* Represents interactions between users (actors) and the system, showing the functionalities (use cases) offered. It provides a high-level view from the user's perspective.
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* **Actors:** Voter, Administrator.
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* **Use Cases (Voter):** Register, Login, Authenticate (OTP), View Candidates, Cast Vote, View Results, Logout.
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* **Use Cases (Administrator):** Manage Voters, Manage Candidates, Manage Elections (Start/End Time), View Detailed Results, Manage System Settings.
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* **Class Diagram:**
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* Shows the static structure of the system, including classes, their attributes, methods (operations), and relationships between them (e.g., association, inheritance).
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* **Key Classes:**
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* `Voter` (Attributes: voterID, name, aadhaarNo, email, phone, passwordHash, hasVotedFlag; Methods: register(), login(), requestOTP(), castVote())
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* `Candidate` (Attributes: candidateID, name, party, electionID)
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* `Election` (Attributes: electionID, name, startTime, endTime)
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* `Vote` (Attributes: voteID, voterID, candidateID, electionID, timestamp)
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* `Admin` (Attributes: adminID, username, passwordHash; Methods: manageVoters(), manageCandidates(), manageElections(), generateResults())
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* `Authentication` (Methods: generateOTP(), sendOTP(), verifyOTP())
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* Relationships depict how voters register, admins manage entities, votes are linked to voters, candidates, and elections.
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* **Sequence Diagram:**
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* An interaction diagram showing how objects collaborate over time. It depicts the sequence of messages exchanged between objects to perform a specific function.
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* **Example Scenario (Voter Casting Vote):**
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1. `Voter` enters credentials on `LoginPage`.
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2. `LoginPage` sends credentials to `System/Controller`.
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3. `System` verifies credentials against `Voter` data in `Database`.
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4. If valid, `System` initiates OTP process via `Authentication` module.
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5. `Authentication` generates and sends OTP, prompts `Voter` on `OTPPage`.
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6. `Voter` submits OTP.
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7. `System` verifies OTP via `Authentication`.
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8. If valid, `System` displays `VotingPage` with `Candidate` list (fetched from `Database`).
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9. `Voter` selects candidate and clicks "Cast Vote".
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10. `VotingPage` sends vote choice to `System`.
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11. `System` validates if voter `hasVotedFlag` is false.
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12. If valid, `System` records the `Vote` in the `Database` and updates voter's `hasVotedFlag`.
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13. `System` displays `ConfirmationPage` to `Voter`.
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---
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**5. IMPLEMENTATION AND RESULTS**
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**Introduction**
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Implementation is the phase where the design blueprint is translated into actual working code, and the system is built according to the specified requirements and design. It involves writing code, setting up databases, configuring servers, and integrating different modules to create the final product.
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**Explanation of Key Functions**
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* **User Registration:** Captures voter details via an HTML form, validates input (client-side using JavaScript, server-side using PHP), checks for duplicates (e.g., existing Aadhaar number) in the MySQL database, hashes the password, and stores the new voter record.
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* **User Login:** Authenticates users based on submitted credentials (e.g., username/Aadhaar and password) against the database records. Uses PHP sessions to maintain login state.
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* **OTP Authentication:** Upon successful login, this function (implemented in PHP) generates a random numeric OTP. It uses a library (like PHPMailer or PHP's `mail()` function) to send this OTP to the user's registered email address. A separate page prompts the user to enter the received OTP, which is then verified against the stored/session OTP value.
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* **Vote Casting:** Displays the list of candidates for the relevant election. Captures the voter's choice. Upon submission, PHP code verifies if the voter hasn't voted yet (checks `hasVotedFlag`), records the vote securely in the database (linking vote to candidate and election, timestamping), and updates the voter's status (`hasVotedFlag` to true).
|
| 333 |
-
* **Result Display:** PHP script queries the database to count votes for each candidate in a specific election and displays the results in a clear format (e.g., a table or chart). Access might be restricted based on user role or election status.
|
| 334 |
-
|
| 335 |
-
**Method of Implementation (Iterative Model)**
|
| 336 |
-
|
| 337 |
-
We adopted an Iterative and Incremental development model. This approach involves developing the system in repeated cycles (iterations). Each iteration builds upon the previous one, adding more functionality (increments) until the complete system is realized.
|
| 338 |
-
|
| 339 |
-
1. **Initial Planning:** Define overall scope and core requirements.
|
| 340 |
-
2. **Iteration 1:** Implement basic user registration and login functionality. Test and get feedback.
|
| 341 |
-
3. **Iteration 2:** Add candidate display and the core vote casting mechanism (without OTP). Test.
|
| 342 |
-
4. **Iteration 3:** Implement OTP authentication after login. Refine security aspects. Test.
|
| 343 |
-
5. **Iteration 4:** Develop administrator modules for managing voters and candidates. Implement result calculation and display. Test.
|
| 344 |
-
6. **Iteration 5:** Refine UI/UX based on feedback, perform thorough testing (including security), fix bugs, and prepare documentation.
|
| 345 |
-
|
| 346 |
-
**Advantages of this Model for this Project:**
|
| 347 |
-
* Allows for early user feedback.
|
| 348 |
-
* Manages complexity by breaking down the system into smaller parts.
|
| 349 |
-
* Easier to accommodate changes in requirements.
|
| 350 |
-
* Working versions are produced early and frequently.
|
| 351 |
-
* Risks can be identified and managed within iterations.
|
| 352 |
-
|
| 353 |
-
**Output Screens**
|
| 354 |
-
|
| 355 |
-
*(This section typically includes screenshots of the actual application. Since I cannot display images, I will list the expected screens based on your description.)*
|
| 356 |
-
|
| 357 |
-
* Home Page / Landing Page
|
| 358 |
-
* User Registration Form
|
| 359 |
-
* User Login Page
|
| 360 |
-
* OTP Entry Page (Authentication)
|
| 361 |
-
* Voter Dashboard / Welcome Page (After successful login & OTP)
|
| 362 |
-
* Voting Page (List of Candidates)
|
| 363 |
-
* Vote Confirmation / Thank You Page
|
| 364 |
-
* Results Display Page
|
| 365 |
-
* Admin Panel (Login, Dashboard, Manage Voters, Manage Candidates etc. - if applicable)
|
| 366 |
-
|
| 367 |
-
**AUTHENTICATION OUTPUT SCREENS:**
|
| 368 |
-
|
| 369 |
-
* Login Page (Input Username/Password)
|
| 370 |
-
* OTP Entry Page (Prompting for OTP sent via email/SMS)
|
| 371 |
-
* Success/Failure Message for OTP Verification
|
| 372 |
-
|
| 373 |
-
**Result Analysis**
|
| 374 |
-
|
| 375 |
-
The implementation was evaluated against the project objectives and requirements. The following table summarizes the analysis of key functionalities:
|
| 376 |
-
|
| 377 |
-
| Feature | Expected Outcome | Actual Outcome | Status |
|
| 378 |
-
| :-------------------------- | :-------------------------------------------------- | :------------------------------------------------------- | :-------- |
|
| 379 |
-
| User Registration | Collect details, validate, store in DB, prevent duplicates | Details collected, validated, stored; duplicates prevented | Achieved |
|
| 380 |
-
| User Login | Authenticate registered users based on credentials | Users authenticated successfully against DB records | Achieved |
|
| 381 |
-
| OTP Authentication | Verify user identity via OTP sent to email/phone | OTP sent to email, verified successfully upon user input | Achieved |
|
| 382 |
-
| Vote Casting | Allow authenticated user to vote once; record vote | Vote cast and recorded; single vote restriction enforced | Achieved |
|
| 383 |
-
| Result Viewing | Display vote counts per candidate | Results calculated from DB and displayed correctly | Achieved |
|
| 384 |
-
| Security (Basic) | Prevent unauthorized access; secure vote recording | Login & OTP implemented; vote recording functional | Achieved |
|
| 385 |
-
| Logout | Terminate user session securely | User session terminated upon logout | Achieved |
|
| 386 |
-
|
| 387 |
-
---
|
| 388 |
-
|
| 389 |
-
**6. TESTING AND VALIDATION**
|
| 390 |
-
|
| 391 |
-
**Introduction**
|
| 392 |
-
|
| 393 |
-
* **Testing:** The process of executing the software with the intent of finding errors (bugs). It involves verifying that the system meets the specified requirements and functions correctly under various conditions.
|
| 394 |
-
* **Validation:** The process of ensuring that the developed software meets the user's needs and requirements. It answers the question: "Are we building the right product?"
|
| 395 |
-
|
| 396 |
-
Testing approaches used:
|
| 397 |
-
|
| 398 |
-
* **Black-Box Testing:** Testing the functionality without looking at the internal code structure. Focuses on inputs and outputs. (e.g., Does login work with correct/incorrect credentials? Does voting record the choice correctly?)
|
| 399 |
-
* **White-Box Testing:** Testing based on knowledge of the internal code structure, design, and logic. Focuses on code paths, conditions, loops. (e.g., Does the OTP generation logic work? Are database queries efficient and secure?)
|
| 400 |
-
|
| 401 |
-
**Design of Test Cases and Scenarios**
|
| 402 |
-
|
| 403 |
-
| Test ID | Operation / Scenario | Input | Expected Output | Actual Output | Result |
|
| 404 |
-
| :------ | :-------------------------- | :------------------------------------------ | :---------------------------------------------------- | :---------------------------------------------------- | :----- |
|
| 405 |
-
| TC01 | Valid User Login | Correct Username/Password | Redirect to OTP Authentication Page | Redirected to OTP Authentication Page | Pass |
|
| 406 |
-
| TC02 | Invalid User Login | Incorrect Username/Password | Error message; Remain on Login Page | Error message displayed; Remained on Login Page | Pass |
|
| 407 |
-
| TC03 | New User Registration | Valid, unique details (incl. Aadhaar) | Successful registration message; Redirect to Login | Registered successfully; Redirected to Login | Pass |
|
| 408 |
-
| TC04 | Duplicate User Registration | Details with existing Aadhaar Number | Error message indicating user already exists | Error message displayed; Registration blocked | Pass |
|
| 409 |
-
| TC05 | Valid OTP Entry | Correct OTP received via email | Redirect to Voter Dashboard / Voting Page | Redirected successfully | Pass |
|
| 410 |
-
| TC06 | Invalid OTP Entry | Incorrect or expired OTP | Error message; Remain on OTP page (or retry allowed) | Error message displayed | Pass |
|
| 411 |
-
| TC07 | Cast Vote (First Time) | Select a candidate, click Submit | Vote recorded; Confirmation message; Redirect/Update | Vote recorded; Confirmation shown | Pass |
|
| 412 |
-
| TC08 | Cast Vote (Second Attempt) | Attempt to access voting page after voting | Access denied or message "Already Voted" | Voting page inaccessible; "Already Voted" shown | Pass |
|
| 413 |
-
| TC09 | View Results (Authorized) | Access Results page | Correct vote counts displayed | Correct counts displayed | Pass |
|
| 414 |
-
| TC10 | Logout | Click Logout button | Session terminated; Redirect to Home/Login Page | Session ended; Redirected to Home Page | Pass |
|
| 415 |
-
|
| 416 |
-
**Validation Results**
|
| 417 |
-
|
| 418 |
-
Based on the testing and evaluation, the system was validated against the initial requirements:
|
| 419 |
-
|
| 420 |
-
1. The website is accessible to registered users via standard web browsers.
|
| 421 |
-
2. Users can successfully register, login, authenticate via OTP, and cast their vote remotely.
|
| 422 |
-
3. The system correctly restricts users to a single vote per election.
|
| 423 |
-
4. Election results can be generated instantly based on the votes recorded in the database.
|
| 424 |
-
5. The OTP mechanism provides a basic layer of security against unauthorized voting, though further enhancements are possible.
|
| 425 |
-
6. The system addresses the core objective of providing a convenient and accessible alternative to traditional voting methods.
|
| 426 |
-
|
| 427 |
-
---
|
| 428 |
-
|
| 429 |
-
**7. CONCLUSION**
|
| 430 |
-
|
| 431 |
-
**Summary**
|
| 432 |
-
|
| 433 |
-
This project successfully designed and implemented a prototype for an Online Voting System. Recognizing the limitations of conventional voting methods and the increasing familiarity with online platforms, this system offers a modern alternative. It addresses issues like geographical barriers, time constraints, and accessibility challenges faced by voters, especially the elderly, disabled, or those living remotely.
|
| 434 |
-
|
| 435 |
-
Key achievements include:
|
| 436 |
-
* Development of a web-based platform for voter registration, authentication (via OTP), and vote casting.
|
| 437 |
-
* Implementation of a centralized database for managing voter data, candidate information, and vote records.
|
| 438 |
-
* Automation of the vote counting process, enabling instant result generation.
|
| 439 |
-
* Potential reduction in election administration costs and logistical complexities.
|
| 440 |
-
* Enhancement of voter convenience and accessibility.
|
| 441 |
-
|
| 442 |
-
While the current system uses OTP for security, it lays the foundation for a more robust and scalable online voting solution.
|
| 443 |
-
|
| 444 |
-
**Future Scope / Enhancements**
|
| 445 |
-
|
| 446 |
-
The system can be further improved and expanded:
|
| 447 |
-
|
| 448 |
-
* **Enhanced Security:** Integrate more advanced biometric authentication methods (fingerprint scanning, facial recognition, cornea/iris scan) potentially linked with national identity databases (like Aadhaar) for foolproof voter identification.
|
| 449 |
-
* **Scalability:** Optimize database and server architecture to handle a large number of concurrent users, typical of national elections.
|
| 450 |
-
* **Auditability and Transparency:** Implement robust logging and potentially explore blockchain technology to create an immutable, verifiable audit trail for votes, enhancing transparency and trust.
|
| 451 |
-
* **Mobile Application:** Develop native mobile applications (iOS/Android) for voting, increasing accessibility further.
|
| 452 |
-
* **Accessibility Features:** Incorporate features compliant with WCAG (Web Content Accessibility Guidelines) for visually impaired or other disabled users.
|
| 453 |
-
* **Offline Capability:** Explore secure methods for limited offline voting capabilities in areas with poor internet connectivity, syncing data when connection is available.
|
| 454 |
-
* **End-to-End Verifiability:** Implement cryptographic techniques allowing voters to verify their vote was correctly recorded without revealing their choice, and allowing independent auditors to verify the tally integrity.
|
| 455 |
-
|
| 456 |
-
This project demonstrates the feasibility and potential benefits of online voting, paving the way for future developments that could significantly modernize democratic processes.
|
| 457 |
-
|
| 458 |
-
---
|
| 459 |
-
|
| 460 |
-
**8. REFERENCES**
|
| 461 |
-
|
| 462 |
-
*(Formatted for consistency - Adjust style based on specific university guidelines if needed. Assuming a basic APA-like style)*
|
| 463 |
-
|
| 464 |
-
* Cranor, L. (2004). *Electronic Voting Hot List*. Retrieved from http://lorrie.cranor.org/voting/hot-list.html
|
| 465 |
-
* Dill, D. (2004). *E-voting Misconceptions*. Verified Voting. Retrieved from www.verifiedvoting.org/article.php?id=2609
|
| 466 |
-
* Dill, D. (2004, October 14). *[Title of Lecture, if known]*. Lecture presented at UC Berkeley.
|
| 467 |
-
* Dugger, R. (2004, July 29). How They Could Steal the Election this Time. *The Nation*. Retrieved from www.thenation.com/doc.mhtml?i=20040816&s=dugger
|
| 468 |
-
|
| 469 |
-
*(Add any other specific websites, books, papers, or tools consulted during the project)*
|
| 470 |
-
|
| 471 |
-
---
|
|
|
|
| 1 |
+
The given data points are:
|
| 2 |
+
$x_0 = 654$, $y_0 = \log_{10} 654 = 2.8156$
|
| 3 |
+
$x_1 = 658$, $y_1 = \log_{10} 658 = 2.8182$
|
| 4 |
+
$x_2 = 659$, $y_2 = \log_{10} 659 = 2.8189$
|
| 5 |
+
$x_3 = 661$, $y_3 = \log_{10} 661 = 2.8202$
|
| 6 |
+
|
| 7 |
+
We use Newton's divided difference interpolation formula:
|
| 8 |
+
$P_3(x) = f[x_0] + f[x_0, x_1](x-x_0) + f[x_0, x_1, x_2](x-x_0)(x-x_1) + f[x_0, x_1, x_2, x_3](x-x_0)(x-x_1)(x-x_2)$
|
| 9 |
+
|
| 10 |
+
First divided differences:
|
| 11 |
+
$f[x_0, x_1] = \frac{y_1 - y_0}{x_1 - x_0} = \frac{2.8182 - 2.8156}{658 - 654} = \frac{0.0026}{4} = 0.00065$
|
| 12 |
+
$f[x_1, x_2] = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2.8189 - 2.8182}{659 - 658} = \frac{0.0007}{1} = 0.0007$
|
| 13 |
+
$f[x_2, x_3] = \frac{y_3 - y_2}{x_3 - x_2} = \frac{2.8202 - 2.8189}{661 - 659} = \frac{0.0013}{2} = 0.00065$
|
| 14 |
+
|
| 15 |
+
Second divided differences:
|
| 16 |
+
$f[x_0, x_1, x_2] = \frac{f[x_1, x_2] - f[x_0, x_1]}{x_2 - x_0} = \frac{0.0007 - 0.00065}{659 - 654} = \frac{0.00005}{5} = 0.00001$
|
| 17 |
+
$f[x_1, x_2, x_3] = \frac{f[x_2, x_3] - f[x_1, x_2]}{x_3 - x_1} = \frac{0.00065 - 0.0007}{661 - 658} = \frac{-0.00005}{3}$
|
| 18 |
+
|
| 19 |
+
Third divided difference:
|
| 20 |
+
$f[x_0, x_1, x_2, x_3] = \frac{f[x_1, x_2, x_3] - f[x_0, x_1, x_2]}{x_3 - x_0} = \frac{-0.00005/3 - 0.00001}{661 - 654} = \frac{-0.00005 - 0.00003}{3 \times 7} = \frac{-0.00008}{21}$
|
| 21 |
+
|
| 22 |
+
We want to find $P_3(656)$.
|
| 23 |
+
$x - x_0 = 656 - 654 = 2$
|
| 24 |
+
$x - x_1 = 656 - 658 = -2$
|
| 25 |
+
$x - x_2 = 656 - 659 = -3$
|
| 26 |
+
|
| 27 |
+
$P_3(656) = f[x_0] + f[x_0, x_1](x-x_0) + f[x_0, x_1, x_2](x-x_0)(x-x_1) + f[x_0, x_1, x_2, x_3](x-x_0)(x-x_1)(x-x_2)$
|
| 28 |
+
$P_3(656) = 2.8156 + (0.00065)(2) + (0.00001)(2)(-2) + (\frac{-0.00008}{21})(2)(-2)(-3)$
|
| 29 |
+
$P_3(656) = 2.8156 + 0.0013 + (0.00001)(-4) + (\frac{-0.00008}{21})(12)$
|
| 30 |
+
$P_3(656) = 2.8156 + 0.0013 - 0.00004 - \frac{12 \times 0.00008}{21}$
|
| 31 |
+
$P_3(656) = 2.8169 - 0.00004 - \frac{0.00096}{21}$
|
| 32 |
+
$P_3(656) = 2.81686 - \frac{0.00096}{21}$
|
| 33 |
+
|
| 34 |
+
Now we calculate the value:
|
| 35 |
+
$\frac{0.00096}{21} = \frac{96}{2100000} = \frac{3}{65625}$
|
| 36 |
+
$P_3(656) = 2.81686 - \frac{3}{65625} = \frac{281686}{100000} - \frac{3}{65625}$
|
| 37 |
+
$LCM(100000, 65625) = 2100000$
|
| 38 |
+
$P_3(656) = \frac{281686 \times 21}{2100000} - \frac{3 \times 32}{2100000} = \frac{5915406 - 96}{2100000} = \frac{5915310}{2100000} = \frac{591531}{210000} = \frac{197177}{70000}$
|
| 39 |
+
|
| 40 |
+
Converting the fraction to decimal:
|
| 41 |
+
$\frac{197177}{70000} \approx 2.8168142857...$
|
| 42 |
+
|
| 43 |
+
Rounding to 5 decimal places, we get 2.81681.
|
| 44 |
+
|
| 45 |
+
The final answer is $\boxed{2.81681}$.
|
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