Видео 363
Просмотров 200 388

Finding Roots of x^5-1=0 | Using Remainder Theorem and Completing the Square

8:33

Laurent Series Expansion of f(z)=1/(z−i)^2

1:11

Infimum and Supremum Relationships in Bounded Sets | Real Analysis (Bartle)

4:02

Understanding Supremum vs. Maximum: Key Differences in Mathematics

1:54

The History of Derivative Notations | Leibniz, Lagrange, Newton, Euler

3:16

Learn Counting in Urdu: Numbers from 10 to Quadrillion | اردو میں گنتی سیکھیں

0:46

Essential Supremum and Infimum Explained with Examples | Learn Math Concepts Easily

In this video, I explain the concepts of essential supremum and essential infimum, with simple examples to help you understand how to find them for a function. We'll also explore the relationship between supremum and infimum and their essential counterparts.
Make sure to like, comment, and subscribe for more helpful math content!
#maths #mathematics
0:00 Introduction
0:40 Why we need essential supremum/infimum
2:10 Supremum and infimum of a function f
2:48 Example-(supremum\infimum of f)
3:26 Definition of essential supremum and essential infimum
5:00 Almost every property
5:57 Examples- (Essential supremum and essential Infimum)
9:50 Relation between essential supremum and supremum

Видео

Finding Roots of x^5-1=0 | Using Remainder Theorem and Completing the Square

8:33

Finding Roots of x^5-1=0 | Using Remainder Theorem and Completing the Square

Просмотров 4416 часов назад

In this video, I explore a unique approach to finding the roots of the equation x^5−1=0. This equation, featured in the Cambridge University exams, Math Olympiad, is solved using a combination of the remainder theorem and the completing square method. Join me as I guide you through this alternative method, offering insights into advanced mathematical techniques and their applications. Perfect f...

Laurent Series Expansion of f(z)=1/(z−i)^2

1:11

Laurent Series Expansion of f(z)=1/(z−i)^2

Просмотров 1421 час назад

In this video, we explore the Laurent series expansion of the function f(z)=1/(z−i)^2. We start by understanding the function's behaviour around the singularity at z=i and then derive its Laurent series. This function's Laurent series turns out to be straightforward due to its existing form. Join us as we break down the process and understand the principal and regular parts of the Laurent serie...

Infimum and Supremum Relationships in Bounded Sets | Real Analysis (Bartle)

4:02

Infimum and Supremum Relationships in Bounded Sets | Real Analysis (Bartle)

Просмотров 18День назад

In this video, we explore a fundamental theorem from real analysis, demonstrating that if Y is subset of X and X is bounded set, then the relationship \inf X\le\inf Y\le\sup Y\le\sup X holds. This proof is drawn from the classic 'Introduction to Real Analysis' by Robert G. Bartle. Watch to deepen your understanding of infimum and supremum in the context of bounded sets. Perfect for students stu...

Understanding Supremum vs. Maximum: Key Differences in Mathematics

1:54

Understanding Supremum vs. Maximum: Key Differences in Mathematics

Просмотров 4714 дней назад

In this video, we explore the crucial distinction between supremum (least upper bound) and maximum within the realm of mathematics. Discover when these concepts overlap, why a supremum can exist even without a maximum, and how they play a role in real analysis and set theory. Whether you're a student or a math enthusiast, this video will help you grasp these foundational ideas. If you find this...

The History of Derivative Notations | Leibniz, Lagrange, Newton, Euler

3:16

The History of Derivative Notations | Leibniz, Lagrange, Newton, Euler

Просмотров 4414 дней назад

In this video, we explore the various notations for derivatives introduced by four great mathematicians-Leibniz, Lagrange, Newton, and Euler. Each mathematician developed a unique notation based on their perspective and purpose, and these notations are still used today in different contexts. Discover why and how these notations played a crucial role in the evolution of calculus and continue to ...

Learn Counting in Urdu: Numbers from 10 to Quadrillion | اردو میں گنتی سیکھیں

0:46

Learn Counting in Urdu: Numbers from 10 to Quadrillion | اردو میں گنتی سیکھیں

Просмотров 5221 день назад

Discover how to count large numbers in Urdu, starting from 10 and going all the way up to a quadrillion! This video will guide you through the pronunciation and writing of numbers like دس (10), سو (100), ہزار (1,000), and more. Perfect for Urdu learners and enthusiasts, this video will help you expand your numerical vocabulary in Urdu. Don’t forget to like, share, and subscribe for more educati...

Factorization of (x+1)(x+2)(x−3)(x−6)−21x^2 : Step-by-Step Explanation

5:45

Factorization of (x+1)(x+2)(x−3)(x−6)−21x^2 : Step-by-Step Explanation

Просмотров 5328 дней назад

In this video, I break down the factorization of the expression (x 1)(x 2)(x−3)(x−6)−21x^2. Watch as I guide you through each step, ensuring a clear understanding of the process. Perfect for students and enthusiasts looking to strengthen their algebra skills. Be sure to like, share, and subscribe for more mathematical insights! #maths #mathematics #factorization #factorisation8thclass #factoriz...

Breaking the Rules: Addition Tricks with 2-Digit and 3-Digit Numbers

2:35

Breaking the Rules: Addition Tricks with 2-Digit and 3-Digit Numbers

Просмотров 19Месяц назад

n this video, we explore the fascinating world of addition by applying both traditional and unconventional methods to two-digit and three-digit numbers. Watch as we follow the standard rules for addition and then break them, yet still arrive at the correct answers! How does this happen? Join us in uncovering the patterns and surprises hidden within simple arithmetic. Perfect for students, math ...

Viral Math Brain Teaser: Solve Without a Calculator

0:51

Viral Math Brain Teaser: Solve Without a Calculator

Просмотров 49Месяц назад

Viral Math Brain Teaser: Solve Without a Calculator

Water Cylinder Challenge: Which One Has the Most and Least?

1:19

Water Cylinder Challenge: Which One Has the Most and Least?

Просмотров 28Месяц назад

Water Cylinder Challenge: Which One Has the Most and Least?

Matchstick Square Inferno: A Fiery Art Experiment

1:23

Matchstick Square Inferno: A Fiery Art Experiment

Просмотров 63Месяц назад

Matchstick Square Inferno: A Fiery Art Experiment

Solve (1/2)^x=x Using Analytical and Numerical Method

2:31

Solve (1/2)^x=x Using Analytical and Numerical Method

Просмотров 240Месяц назад

Solve (1/2)^x=x Using Analytical and Numerical Method

Building a Calculator and Scientific Calculator Using GPTs/Chatgpt and Mathematics

1:07

Building a Calculator and Scientific Calculator Using GPTs/Chatgpt and Mathematics

Просмотров 622 месяца назад

Building a Calculator and Scientific Calculator Using GPTs/Chatgpt and Mathematics

Unsolved Math Problem: When Is n!+1 a Perfect Square?

1:44

Unsolved Math Problem: When Is n!+1 a Perfect Square?

Просмотров 5652 месяца назад

Unsolved Math Problem: When Is n! 1 a Perfect Square?

Mastering Factorials: Simplifying 7!−6!/7!+6! Easily!

2:01

Mastering Factorials: Simplifying 7!−6!/7!+6! Easily!

Просмотров 552 месяца назад

Mastering Factorials: Simplifying 7!−6!/7! 6! Easily!

Is 2491 Prime? Solving a Recent Russian Math Olympiad Problem

1:33

Is 2491 Prime? Solving a Recent Russian Math Olympiad Problem

Просмотров 1622 месяца назад

Is 2491 Prime? Solving a Recent Russian Math Olympiad Problem

$Solving for b: Simplifying 5^b+5^b+5^b+5^b+5^b=(625)^{b−1}$ 2:17 $Solving for b: Simplifying 5^b+5^b+5^b+5^b+5^b=(625)^{b−1}$

Solving for b: Simplifying 5^b+5^b+5^b+5^b+5^b=(625)^{b−1}

Просмотров 4962 месяца назад

Solving for b: Simplifying 5^b 5^b 5^b 5^b 5^b=(625)^{b−1}

Is dy/dx a Ratio? | Understanding Derivatives in Calculus

2:00

Is dy/dx a Ratio? | Understanding Derivatives in Calculus

Просмотров 382 месяца назад

Is dy/dx a Ratio? | Understanding Derivatives in Calculus

Wheel Polytopes: Mathematical Marvels in Higher Dimensions

1:16

Wheel Polytopes: Mathematical Marvels in Higher Dimensions

Просмотров 262 месяца назад

Wheel Polytopes: Mathematical Marvels in Higher Dimensions

Can You Find the Hidden Number? Fun Puzzle Challenge!

1:12

Can You Find the Hidden Number? Fun Puzzle Challenge!

Просмотров 362 месяца назад

Can You Find the Hidden Number? Fun Puzzle Challenge!

Math Class vs Layman vs Wise Person: Understanding 0/0 form

1:07

Math Class vs Layman vs Wise Person: Understanding 0/0 form

Просмотров 672 месяца назад

Math Class vs Layman vs Wise Person: Understanding 0/0 form

Using ML-Inequality to Find Absolute Value of Contour Integrals | Churchill Complex Analysis

6:10

Using ML-Inequality to Find Absolute Value of Contour Integrals | Churchill Complex Analysis

Просмотров 1163 месяца назад

Using ML-Inequality to Find Absolute Value of Contour Integrals | Churchill Complex Analysis

Why Are Triangular Matrices Called Triangular? Uncovering the Hidden Triangle!

1:43

Why Are Triangular Matrices Called Triangular? Uncovering the Hidden Triangle!

Просмотров 513 месяца назад

Why Are Triangular Matrices Called Triangular? Uncovering the Hidden Triangle!

Reversing the Order of Integration: A Double Integral Problem from Thomas Calculus

5:31

Reversing the Order of Integration: A Double Integral Problem from Thomas Calculus

Просмотров 283 месяца назад

Reversing the Order of Integration: A Double Integral Problem from Thomas Calculus

Unveiling the Gamma Function: Γ(-1/2) = -2√π

2:45

Unveiling the Gamma Function: Γ(-1/2) = -2√π

Просмотров 293 месяца назад

Unveiling the Gamma Function: Γ(-1/2) = -2√π

5:14

Reversing the Order of Integration: A Double Integral Problem from Thomas Calculus"

Просмотров 453 месяца назад

Reversing the Order of Integration: A Double Integral Problem from Thomas Calculus"

4:35

Reversing the Order of Integration: A Double Integral Problem from Thomas Calculus

Просмотров 493 месяца назад

Reversing the Order of Integration: A Double Integral Problem from Thomas Calculus

Viral Math Problems Twist: Mobile Calculator Saves the Day!

1:38

Viral Math Problems Twist: Mobile Calculator Saves the Day!

Просмотров 723 месяца назад

Viral Math Problems Twist: Mobile Calculator Saves the Day!

AI generated "Bado Badi" In Mathematics| Meet "Bado Badi" in Mathematics

1:04

AI generated "Bado Badi" In Mathematics| Meet "Bado Badi" in Mathematics

Просмотров 1323 месяца назад

AI generated "Bado Badi" In Mathematics| Meet "Bado Badi" in Mathematics

Ways of Mathematics