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fractals
June 19, 2024
by rsroybaruah ADV-MATHEMATICS

The Fascinating World of Fractals: Patterns in Nature and Beyond

Introduction: What Are Fractals? Defining Fractals Fractals are intricate, self-replicating patterns that appear similar at any scale, whether you're looking at them up close or from a distance. They can be found everywhere in nature, from the bran ...

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dark energy and dark matter
June 19, 2024
by rsroybaruah ADV-MATHEMATICS

The Enigmatic Universe: Dark Energy and Dark Matter

Introduction: The Mysteries Beyond Our Reach When we gaze up at the night sky, we see a tapestry of stars, galaxies, and cosmic wonders. But what if I told you that everything we see, every star, planet, and galaxy, makes up less than 5% of the entire ...

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calculus
June 14, 2024
by rsroybaruah BASIC MATHEMATICS

Calculus for Beginners: A Friendly Guide to Mastering the Basics

1. Introduction to Calculus What is Calculus? Calculus is the branch of mathematics that deals with change. Unlike algebra, which is static, calculus allows us to understand and describe changes. It's a powerful tool used in various fields such as ...

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equations in latex
May 22, 2024
by rsroybaruah PROGRAMMING

Mastering Article Writing and Equations in LaTeX: A Comprehensive Guide

Writing articles and incorporating equations in LaTeX is a skill that can greatly enhance the clarity and professionalism of your documents. Whether you're a researcher, student, or professional, mastering LaTeX will allow you to produce documents that a ...

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graphs in latex
May 21, 2024
by rsroybaruah PROGRAMMING

How to Draw Graphs in LaTeX: Mastering Size and Positioning

In the realm of scientific and technical writing, LaTeX stands out as a powerful typesetting system. It's renowned for its ability to handle complex mathematical equations and produce professional-looking documents. One of the key features that make LaTe ...

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deformation and strain
May 21, 2024
by rsroybaruah ADV-MATHEMATICS

Understanding Deformation and Strain: A Journey into Material Behavior

Welcome to a fascinating journey into the world of materials and their behavior under external forces. In this blog post, we will delve deep into the concepts of deformation and strain, exploring their significance in understanding how materials respond ...

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cosmological models
May 19, 2024
by rsroybaruah ADV-MATHEMATICS

Unraveling the Mysteries of Cosmological Models: A Journey Through Space and Time

The universe, in all its grandeur and complexity, has been a subject of fascination for millennia. From ancient civilizations gazing at the stars to modern scientists probing the cosmos with sophisticated telescopes, humanity's quest to understand the un ...

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Image by Freepik
May 13, 2024
by rsroybaruah INSIGHTS

Exploring the Golden Ratio and Beyond: 11 Marvels of Mathematical Beauty

In a world governed by patterns and proportions, numbers play a captivating role. From the elegant symmetry of the golden ratio to the intriguing sequences of prime numbers, the beauty of numbers permeates through various aspects of life and mathematics. ...

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isaac newton
April 26, 2024
by rsroybaruah INSIGHTS

Exploring the Legacy of Sir Isaac Newton: A Journey Through His Life and Works

Welcome to a captivating exploration of the life history and monumental contributions of Sir Isaac Newton, one of history's most influential scientists. In this blog post, we'll delve into the remarkable journey of this visionary thinker, from his early ...

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continuum mechanics
April 26, 2024
by rsroybaruah ADV-MATHEMATICS

Exploring the Fundamentals of Continuum Mechanics: A Comprehensive Guide

In continuum mechanics, the term "continuum" refers to a theoretical framework that treats matter as a continuous substance rather than a collection of discrete particles. This approach is based on the assumption that at sufficiently large scales, such a ...

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