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a55
February 21, 2025
by rsroybaruah ADV-MATHEMATICS

Principle of Equivalence and Principle of Covariance

Albert Einstein’s theory of relativity revolutionized our understanding of space, time, and gravity. Two fundamental principles at the heart of this theory are the Principle of Equivalence and the Principle of Covariance. These principles provide the fou ...

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350
cosmological models
January 25, 2025
by rsroybaruah INSIGHTS

Cosmological Models in Mathematics: Exploring the Universe Through Equations

Understanding the universe has always fascinated humanity. Cosmological models bridge the gap between philosophy, physics, and mathematics, providing a structured framework for understanding how the universe behaves. Let’s dive deep into the mathematical ...

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95
2525
November 5, 2024
by rsroybaruah RESOURCES

Create a Professional CV Using LaTeX: A Complete Guide

Crafting a professional CV can be a challenging task. However, if you're looking to create a unique and structured resume, using LaTeX is a great option. In this guide, we'll walk you through how to create a visually appealing, customizable CV using LaTe ...

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2419
T1
October 22, 2024
by rsroybaruah INSIGHTS

Applying Mathematics in Your Life: Making Everyday Tasks Easier

Mathematics is often viewed as a subject confined to classrooms or technical professions. However, applying mathematics is essential in day-to-day life. From managing finances to organizing tasks, math helps us make better decisions, solve problems, and ...

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111
2525
September 26, 2024
by rsroybaruah PROGRAMMING

Construction of Matrices: Mathematica Programs

Construction of Matrices 1. Identity Matrix: Construct an identity matrix of size 4. IdentityMatrixConstruction := IdentityMatrixIdentityMatrixConstruction Output: {{1, 0, 0, 0},  {0, 1, 0, 0},  {0, 0, 1, 0},  {0, 0, 0 ...

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1280
graph
September 21, 2024
by rsroybaruah RESOURCES

Graph Generator

Interactive Graph Generator body { font-family: Arial, sans-serif; background-color: #f4f4f9; color: #333; padding: 20px; } #graphCanvas { border: 1 ...

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99
mock test - 1
September 19, 2024
by rsroybaruah MOCK TEST

MOCK TEST – 1 (Special Theory of Relativity)

Instructions for the Test Welcome to the Test! Please read the instructions carefully before starting: Number of Questions: The Test consists of multiple questions. Each question will be displayed one at a time. Answering Questions: For each qu ...

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110
mathematics of voting systems
September 12, 2024
by rsroybaruah INSIGHTS

The Mathematics of Voting Systems: Analyzing Fairness and Decision-Making

Voting is a cornerstone of democratic societies, but what often goes unnoticed is how intricate and complex voting systems can be. At the heart of this complexity is the mathematics of voting systems. This branch of mathematics explores various models de ...

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22717
Momentum and Energy
September 5, 2024
by rsroybaruah ADV-MATHEMATICS

Transformation Equation of Momentum and Energy: Special Theory of Relativity

Albert Einstein's Special Theory of Relativity revolutionized our understanding of physics by introducing the transformation equation of momentum and energy. The theory redefined how we perceive time, space, and energy in high-speed contexts, particularl ...

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197
modelling
August 13, 2024
by rsroybaruah ADV-MATHEMATICS

Understanding Mathematical Modelling: Definition, Importance, Classification, and Process

Introduction to Mathematical Modelling Definition of Mathematical Modelling Mathematical modelling is the process of using mathematical structures and concepts to represent real-world systems. This involves translating a problem into mathematical l ...

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