Rough Sets, Pareto Optimality, and Swarm Algorithms Explained

24(a) Meaning of Indiscernibility

  • Two objects are indiscernible if they have same values for a chosen set of attributes.

  • Forms equivalence classes (granules).

  • Basis for lower/upper approximations in Rough Sets.


24(b) Reduct & Core

Reduct

  • Minimum subset of attributes giving same classification power as full set.

  • Removing any attribute → information loss.

Core

  • Intersection of all reducts


  • Contains attributes must for classification.

Example (Medical dataset)


  • Attributes: Headache, Muscle Pain, Temperature

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Java Fundamentals: JDBC, File I/O, and Network Socket Programming

Java Database Connectivity (JDBC) Implementation

This example demonstrates establishing a connection to a MySQL database, executing a complex SQL query, and processing the resulting data set. Note the use of standard Java naming conventions and proper exception handling.

JDBC Connection and Data Retrieval Code (Cs391Jdbc1.java)


import java.sql.Connection;
import java.sql.DriverManager;
import java.sql.ResultSet;
import java.sql.Statement;
import java.sql.SQLException;

public class Cs391Jdbc1 {
  
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Comprehensive Analysis of Indian Economic Policies and Market Structures

The Role and Functions of SEBI in India

Introduction: The Securities and Exchange Board of India (SEBI) is the regulator of the securities market in India. It was established to protect investor interests, regulate the market, and ensure transparency and fairness.

Key Roles of SEBI

  1. Investor Protection: SEBI safeguards investors from unfair practices, frauds, and malpractices in the securities market.
  2. Market Regulation: It regulates stock exchanges, brokers, and other intermediaries to ensure smooth
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19th Century European History: Key Concepts and Events

Core Themes in 19th Century European History

  • Conservatism vs. Liberalism vs. Socialism vs. Nationalism
  • Industrialization leading to class conflict and political reform
  • Unification through diplomacy and war (Italy and Germany)
  • Modernization failures resulting in revolution (Russia)
  • World War I and the subsequent unstable peace


Chronological Glossary of Historical Terms

Political Thinkers and Early Reform

Edmund Burke: A conservative thinker reacting to the French Revolution; he argued for tradition, gradual

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Screens, Systems & Safety: Multimedia, AI and Online Privacy

Slide 1 – Title Slide

  • Topic: Screens, Systems, and Safety: Understanding Multimedia, AI, and Online Privacy

Slide 2 – Multimedia

  • Definition: Combines text, images, audio, video, and animations to communicate information.

  • Example: YouTube videos, movies.

Slide 3 – Pros & Cons of Multimedia

  • Pros:

    1. Improves understanding of complex topics.
    2. Shares information quickly worldwide.
    3. Boosts creativity and communication skills.
  • Cons:

    1. Can spread misinformation.
    2. Too much screen time harms eyesight, sleep, and focus.
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Core Concepts of Algorithm Design and Computational Problem Solving

Unit– 1

Problems and Problem Instances

A problem in computer science is a clearly defined task or situation that requires a solution using logical and computational methods. It describes what needs to be achieved without specifying how to achieve it. A problem usually includes input data, required output, and certain constraints that must be satisfied. For example, “finding the maximum number in a list” is a problem statement. A problem instance is a specific example of that problem with actual

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Academic Source Classification and Critical Evaluation

The Importance of Academic Sources

Sources are fundamental to academic rigor and provide:

  • Credibility: Proof of academic rigor.
  • Perspectives: Balance of views.
  • Depth: Analysis beyond surface knowledge.

Maximizing Marks with Source Use

Correct use of primary and secondary sources leads to higher marks in:

  • Criteria A: Focus and Method
  • Criteria C: Critical Thinking

Defining Primary Sources

Direct, first-hand evidence created at the time under study; not interpreted by another author.

Examples of Primary Sources
  • History:
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Molecular Geometry, Gas Laws, and Intermolecular Forces

Molecular Geometry and Hybridization

To determine electron domain geometry, molecular geometry, hybridization, polarity, and bond angles, you must count electron domains (bonding pairs and lone pairs) around the central atom of a Lewis structure.

  • Electron Domain Geometry: The arrangement of all electron domains. For example, four domains result in a tetrahedral geometry.
  • Molecular Geometry: The arrangement of only the atoms. For example, four domains with one lone pair result in a trigonal pyramidal
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Database Clustering vs Parallel Architecture: Performance

Database Clustering and Parallel Architecture Fundamentals

Understanding Database Clusters

Definition of a Database Cluster

A Database Cluster is a group of databases or database servers that work together to store data, share workload, and improve overall performance and reliability.

Key Benefits of Database Clustering

Database clusters are essential for modern applications due to several critical advantages:

  • High Availability: If one server fails, another server will automatically handle the database
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Indian Business Environment and Economic Policy

Unit 1: Business Environment Foundations

Nature and Determinants of Business Environment

The business environment refers to all external forces that influence a firm’s decisions, performance, and growth. It includes economic conditions, political stability, legal frameworks, technological changes, socio-cultural factors, and global trends. These components work together to create opportunities or threats for businesses. Determinants like government policies, market competition, resource availability,

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