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I think we've all had the question (at least once) on why 1+1=2. It's like asking the definition of 'the', and it's rather confusing on whether this is even an approachable idea. So, I made this video to share a very simple proof. -------------------------------------------------------- Timestamps: 00:00 Why I'm making this video 01:11 ...

Sign up to Brilliant to receive a 20% discount with this link! https://brilliant.org/upandatom/ Hi! I'm Jade. If you'd like to consider supporting Up and Atom, head over to my Patreon page :) https://www.patreon.com/upandatom Visit the Up and Atom store https://store.nebula.app/collections/up-and-atom Subscribe to Up and Atom for physics, math ...

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Become a Math Master With My Intro To Proofs Course! (FREE ON YOUTUBE) https://youtu.be/3czgfHULZCs This video presents a clear and concise proof of why 1+1 equals 2, a fundamental concept in mathematics. It breaks down the logic and reasoning behind this basic equation, making it understandable for anyone interested in math. 🙏Support me by ...

Using algebra and a little deception, Mr. John Hush proves (or does he?) that 1 = 2 to a class of amazed calculus students.

1 + 1 = 3 Proof | Breaking the rules of mathematics. One plus one equals three is possible only by breaking the rules of mathematics. 1+1=3 is not supported by mathematical logic. These strange results may come by the mistake during the calculations. This viral math tricks video is given here to show a message that a single mistake in ...

In this tutorial I show how to do a proof by mathematical induction. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)

This video covers how to prove algebraic identities, which is when you're give This is part 2 of our 2 part series on proofs. 1) How to Disprove a Statement by Counter Example - https://youtu.be/gPRsK8kKi7Q 2) Proving Algebraic Identities - (this video) This video is suitable for maths courses around the world. KS3 - Not on your course GCSE ...

Using varying methods of proof to prove existence or existence of a unique value. Video Chapter: Introduction 0:00 Proof of Existence (by Constructive Proof) 0:08 Proof of Existence (by Non-Constructive Proof) 3:09 Proof of Uniqueness 4:33 Up Next 8:45 Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube ...

In this tutorial I show how to do a proof by mathematical induction. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)

Exploring a method of proof by exhaustion known as proof by cases. Video Chapters: Introduction 0:00 What is a Proof by Cases? 0:10 Proof by Cases Example 1 2:27 Proof by Cases Example 2 (Implication) 4:52 Proof by Cases Example 3 (Challenging) 9:25 Up Next 18:34 Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https ...

Why the limit of (1+1/n)^n as n approaches infinity is e? Why the limit of (1-1/n)^n as n approaches infinity is 1/e 👉 https://youtu.be/C16mHM3b8Tk Mathematics discussion public group 👉 https://www.facebook.com/groups/292419116266033 open for questions asking 🤗 This tutorial shows the proof with presumption d/dx(lnx) = 1/x. If need to ...

More practice on proof using mathematical induction. These proofs all prove inequalities, which are a special type of proof where substitution rules are different than those in equations. Video Chapters: Introduction 0:00 Proving our First Inequality 0:09 Proving our Second Inequality 4:47 Up Next 9:44 Textbook: Rosen, Discrete Mathematics and ...

https://www.buymeacoffee.com/zeeshanzamurred Pearson A level Maths, Pure Year 2 textbook (1.1) In this video I cover: 1. Negation Statement 2. Ration and Irrational Numbers 3. Proof By Contradiction

Our last video for practice proving using mathematical induction. In this video we have one example involving divisibility. Video Chapters: Introduction 0:00 Divisibility Proof 0:07 Up Next 7:34 Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz

This math video tutorial provides a basic introduction into induction divisibility proofs. It explains how to use mathematical induction to prove if an algebraic expression is divisible by an integer. Precalculus - Free Formula Sheets: https://www.video-tutor.net/formula-sheets.html Precalculus Video Lessons: https://www.video-tutor.net ...

In this video we learn about a proof method known as strong induction. This is a form of mathematical induction where instead of proving that if a statement is true for P(k) then it is true for P(k+1), we prove that if a statement is true for all values from 1 to k (or whatever your starting value is), it is true for P(k+1). Video Chapters ...

Our first math proof! The main goal of this video is more about the structure of a direct proof than the specific claim, that the sum of an even integer and an odd integer is an odd integer. We will write: 1) The Assumptions 2) Definition of the Assumptions 3) Manipulations 4) Definition of Conclusion 5) Conclusion Full DISCRETE MATH Course ...

In this video I prove that the formula for the sum of squares for all positive integers n using the principle of mathematical induction. The formula is, 1^2 + 2^2 + ... + n^2 = n(n + 1)(2n + 1)/6 I hope this video helps someone.

We prove that a set A with n elements has 2^n subsets. Thus, we're also proving that the cardinality of a power set is 2 to the power of the cardinality of the set we're taking the power set of. If |A|=n then |P(A)|=2^n. We prove this using mathematical induction. Give it a try yourself - this is a great basic example of an induction proof! # ...

Did you know 2=1 and 1=2? (just kidding). This video shows a great argument for it though! (or does it?) These are some of my absolute favorite mathematical proofs. Every aspiring math person should see these math proofs at least once! I hope you enjoy the mathematics! Here are some of the proofs in this video! Prove 1=2 Prove sqrt 2 is ...

This video proves that 1+1=3 (one plus one equals three) And you can certainly impress your math teacher with these tricks. Although each method has a mistake but it's your task to identify the mistake. Actually its an interesting math problem. When you show this amazing trick to your friends and teachers, they will be stunned, because it's ...

In this video I give a proof by induction to show that 2^n is greater than n^2. Proofs with inequalities and induction take a lot of effort to learn and are very confusing for people who are new to induction. I really hope this video helps someone!

Discover more at www.ck12.org: http://www.ck12.org/geometry/Two-Column-Proofs/. Here you'll learn how to write a two-column geometric proof. This video gives more detail about the mathematical principles presented in Two Column Proofs. This is part of CK-12’s Geometry: Reasoning and Proof. See more at: 1. Conjectures and Counterexamples: http ...

For complete lessons on geometry proofs and algebra proofs, go to https://www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students are asked to provide the missing reasons in two-column Algebra proofs using the properties of equality.

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys How to Prove a Function is Uniformly Continuous. This is a proof that f(x) = 1/(1 + x^2) is uniformly continuous on R. I hope this video helps.

Here I look at using proof by mathematical induction for divisibility tests. YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics. https://www.facebook.com/examsolutions.net/ NEW INSTAGRAM: https ...

Exploring a method of proof known as contradiction where we assume p and not q, then work to show either if p then q or if not q then not p. Video Chapters: Introduction 0:00 What is Proof by Contradiction? 0:07 Proof by Contradiction with One Proposition 1:32 Contradiction Using an Implication 6:00 Up Next 9:29 Textbook: Rosen, Discrete ...

Continuing our study of methods of proof, we focus on proof by contraposition, or proving the contrapositive in order to show the original implication is true. Video Chapters: Introduction 0:00 What is Proof By Contraposition? 0:07 Proof by Contraposition Practice 1 0:52 Proof by Contraposition Practice 2 3:50 Up Next 6:31 Textbook: Rosen ...

We use proof by contradiction to prove the wonderful fact that there are infinitely many primes. Full DISCRETE MATH Course Playlist: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ********************************************************* Other Course Playlists: CALCULUS I: https://www.youtube.com/playlist?list ...

MIT RES.6-012 Introduction to Probability, Spring 2018 View the complete course: https://ocw.mit.edu/RES-6-012S18 Instructor: John Tsitsiklis License: Creative Commons BY-NC-SA More information at https://ocw.mit.edu/terms More courses at https://ocw.mit.edu

MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu

This is the story of how Alfred North Whitehead and Bertrand Russell proved 1+1=2 purely from basic logic. 0:00 362 Pages 0:44 What is a Proof? 2:55 Why? 4:14 1+1=2 6:48 Gödel

Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Proof that the Sequence {1/n} is a Cauchy Sequence

Any convergent sequence must be bounded. We'll prove this basic result about convergent sequences in today's lesson. We use the definition of the limit of a sequence, a useful equivalence involving absolute value inequalities, and then considering a maximum and minimum will help us find an upper and lower bound to use for our proof that a ...

We prove a detailed version of the monotone convergence theorem. We'll prove that a monotone sequence converges if and only if it is bounded. In particular, if it is increasing and unbounded, then it diverges to positive infinity, if it is increasing and bounded, then it converges to the supremum of the set of sequence values. If a sequence is ...

In this video, I have explained a Proof that 1 + 1 = 3 [ Fundamentals of Mathematics ]. #shorts #shorts #short #ytshorts #youtubeshorts #shortvideo #shortsfeed #viralshorts #viral #viralvideos #newtoyou #all #explore #proof #prove #fundamentals #mathematics #youtubeupdate #trending #math #maths #youtubeshortsfeature #yt #youtube #mathstrick # ...

Here I show you how to prove the area of a triangle 1/2absinC when you know two sides and an included angle. YOUTUBE CHANNEL at https://www.youtube.com/ExamSolutions EXAMSOLUTIONS WEBSITE at https://www.examsolutions.net/ where you will have access to all playlists covering pure maths, statistics and mechanics. https://www.facebook.com ...

Here's the easy way to write epsilon-delta proofs for limits. Usually, the epsilon-delta definition is taught in college calculus 1 (or real analysis in upper-division pure math but not in AP calculus). I think it is the hardest topic in Calculus 1. Let me know what you think! Check out the Introduction to εδ definition of the limit 👉 ...

Prove the Infinite Geometric Series Formula: Sum(ar^n) = a/(1 - r) If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https://mathsorcerer.com My FaceBook Page: https://www.facebook.com/themathsorcerer There are several ways that you can help support my channel:) Consider becoming a member ...

In this video I use proof by contradiction to prove that there are no positive integer solutions to the the equation x^2-y^2=1

We prove the sequence (-1)^n diverges. This is an example of a sequence that diverges, but not to positive or negative infinity. Thus, we will prove it diverges using the plain old definition of divergence - that is, that it does not converge to any real number. To prove (-1)^n doesn't converge to any real number, we will assume for ...

A proof that the nth Fibonacci number is at most 2^(n-1), using a proof by strong induction.

In this video we prove that this geometric series is less than 1. We give a direct proof and not an induction proof. You could also do this with induction but I think the direct proof is more elegant. I hope this video is helpful:) If you enjoyed this video please consider liking, sharing, and subscribing. Udemy Courses Via My Website: https ...

This video introduces a proof of Theorem 1.2.1 (Free Variable Theorem for Homogeneous Systems). Textbook: Howard Anton, Elementary Linear Algebra, 12th edition, Wiley. Thank you for watching! For more videos, please subscribe or check out the playlist https://www.youtube.com/playlist?list=PL2mH4VHoRj6_iqFoS4j9Cn0oHoJzQuH3O

Proving inequalities with induction requires a good grasp of the 'flexible' nature of inequalities when compared to equations. Make sure that your logic is clear between lines! For more mathematical induction proofs with inequalities, try these: Inequality Proof Example 1, Σ(k = 1 to n) 1/k² ≤ 2 - 1/n: http://youtu.be/S2tkLx019QI Inequality ...

Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/ap-calculus-bc/bc-series-new/bc-10-6/v/harmonic-series-divergent Showing that the harmonic series 1 + _ + _ + _ + ... actually diverges, using the direct comparison test. This proof is famous for its clever use of ...

In 2022, In this short video, I have given a Proof 1=2 ; 2=1 ; 1+1=1 in Just 2 Seconds #shorts That's a maths fun and fun with mathematics. This is anti-mathematics rule that you can prove 1=2 or 2=1 or 1+1=1. Today, I have broken the rules of mathematics with fun. Can You Spot The Mistake? False Proof Can You give a Proof that 1=2 with another ...

We will discuss why the harmonic series 1/n, namely 1+1/2+1/3+..., diverges to infinity. Of course, we can use the p-series test or the integral test, but here we will see the classic proof! Although this is usually a calculus 2 topic, this video is also very suitable for precalculus students because we will also take a look at a convergent ...