Mathematical induction | Wellfoundedness

Epsilon-induction

In set theory, -induction, also called epsilon-induction or set-induction, is a principle that can be used to prove that all sets satisfy a given property. Considered as an axiomatic principle, it is called the axiom schema of set induction. The principle implies transfinite induction and recursion. It may also be studied in a general context of induction on well-founded relations. (Wikipedia).

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Epsilon-Delta Definition of a Limit (Not Examinable)

This video introduces the formal definition for the limit of a function at a point. Presented by Norman Wildberger of the School of Mathematics and Statistics, UNSW.

From playlist Mathematics 1A (Calculus)

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ultimate introduction to the epsilon-delta definition of a limit

My most detailed introduction to the epsilon-delta definition of limits in calculus! The epsilon-delta definition of a limit is commonly considered the hardest topic in calculus 1 (it's also the important part at the beginning of real analysis). The best way to understand this precise defi

From playlist Epsilon-Delta definition of limits

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Epsilon delta limit (Example 3): Infinite limit at a point

This is the continuation of the epsilon-delta series! You can find Examples 1 and 2 on blackpenredpen's channel. Here I use an epsilon-delta argument to calculate an infinite limit, and at the same time I'm showing you how to calculate a right-hand-side limit. Enjoy!

From playlist Calculus

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limits with epsilon-delta definition! (linear, square root, and quadratic examples)

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 on AP calculus). I think it is the hardest topic in calculus 1. Let me know what you think! Check out th

From playlist Epsilon-Delta definition of limits

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limits with epsilon-delta definition! (x^3 and 1/x examples)

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 on AP calculus). I think it is the hardest topic in calculus 1. Let me know what you think! Check out th

From playlist Epsilon-Delta definition of limits

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What exactly is a limit?? | Real numbers and limits Math Foundations 106 | N J Wildberger

In this video we aim to give a precise and simpler definition for what it means to say that: a rational polynumber on-sequence p(n) has a limit A, for some rational number A. Our definition is both much simpler and more logical than the usual epsilon -delta definition found in calculus tex

From playlist Math Foundations

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Ex 2: Limit Definition - Determine Delta for an Arbitrary Epsilon (Quadratic)

This video explains how to determine an expression of delta for an arbitrary epsilon that can be used to prove a limit exists. http://mathispower4u.com

From playlist Limits

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Sequences and series -- Proof Writing 21

⭐Support the channel⭐ Patreon: https://www.patreon.com/michaelpennmath Merch: https://teespring.com/stores/michael-penn-math My amazon shop: https://www.amazon.com/shop/michaelpenn 🟢 Discord: https://discord.gg/Ta6PTGtKBm ⭐my other channels⭐ Main Channel: https://www.youtube.

From playlist Proof Writing

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Kenji Fukaya: Inductive limit which appears in Lagrangian Floer theory

CIRM VIRTUAL EVENT Recorded during the meeting "From Hamiltonian Dynamics to Symplectic Topology" the April 26, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematic

From playlist Virtual Conference

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The Slow Bond Model with Small Perturbations by Allan Sly

PROGRAM :UNIVERSALITY IN RANDOM STRUCTURES: INTERFACES, MATRICES, SANDPILES ORGANIZERS :Arvind Ayyer, Riddhipratim Basu and Manjunath Krishnapur DATE & TIME :14 January 2019 to 08 February 2019 VENUE :Madhava Lecture Hall, ICTS, Bangalore The primary focus of this program will be on the

From playlist Universality in random structures: Interfaces, Matrices, Sandpiles - 2019

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Marina Iliopoulou: Three polynomial methods for point counting, Lecture III

During these lectures, we will describe (a) the polynomial method that Dvir developed to solve the Kakeya problem in finite fields, (b) polynomial partitioning, developed by Guth and Katz to solve the Erdös distinct distances problem in the plane, and (c) the slice rank method, developed b

From playlist Harmonic Analysis and Analytic Number Theory

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Khalil Ghorbal, INRIA

February 12, Khalil Ghorbal, INRIA Characterizing Positively Invariant Sets: Inductive and Topological Methods

From playlist Spring 2021 Online Kolchin Seminar in Differential Algebra

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Calculus I - 1.2.3 The Epsilon-Delta Limit Definition

In this video we formalize the definition of a limit and explore strategies for determining the value of delta for a given or variable value of epsilon. Video Chapters: Intro 0:00 Informal to Formal Limit Definition 0:08 Finding Delta for Given Epsilon 3:50 Finding Delta in Terms of Epsil

From playlist Calculus I - Complete Course Under Construction

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Transcience for the interchange process in dimension 5 - Allan Sly

Probability Seminar Topic: Transcience for the interchange process in dimension 5 Speaker: Allan Sly Affiliation: Princeton University Date: October 07, 2022  The interchange process \sigma_T is a random permutation valued process on a graph evolving in time by transpositions on its edge

From playlist Mathematics

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calc 1 final be like (derivative of x^2)

Calculus 1 final exam be like In college for a simple derivative problem! We will find the derivative of x^2 by using the power rule, then find the derivative of x^2 by using the definition of derivative and use epsilon-delta limit definition to prove our results! Subscribe for more math

From playlist Epsilon-Delta definition of limits

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Lec 18: Displacement Current and Synchronous Motors | 8.02 Electricity and Magnetism (Walter Lewin)

Displacement Current (Difficult Concept) - Synchronous Motors - Induction Motors - Secret Top, How does it work? This lecture is part of 8.02 Physics II: Electricity and Magnetism, as taught in Spring 2002 by Dr. Walter Lewin at MIT. This video was formerly hosted on the YouTube channel

From playlist MIT: 8.02 Electricity and Magnetism - CosmoLearning.com Phys

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The Poynting Vector

Part 2 of a series on electromagnetic radiation: the Poynting Vector - which indicates the Intensity of EM radiation. Covers energy in electric and magnetic fields and the derivation of the Poynting Vector.

From playlist Electricity & Magnetism

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On Tetration, Part II: Derivatives - THE GENERALIZATION WAR

...and we're back! Back to business, back in action, and back to super-square one. Not really. In this video, we are of course going to expand and expound on our ideas and findings in my previous video on tetration, seen here: https://www.youtube.com/watch?v=czxRs8T0JcM&t=243s which foc

From playlist The Generalization War

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Math 101 Introduction to Analysis 01 090117 Set Notation, Induction

Basic set notation: definition, element, union, intersection, exclusion. Brief description of Russell's paradox. The natural numbers: Peano Axioms. Induction. Examples of induction.

From playlist Course 6: Introduction to Analysis (Fall 2017)

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Non-well-founded set theory | Constructive set theory | Axiom of infinity | Markov's principle | Non-standard model of arithmetic | Transfinite induction | Axiom schema | Peano axioms | Empty set | Ordinal number | Zermelo–Fraenkel set theory | John von Neumann | Axiom of regularity | Set (mathematics) | Mathematical induction | Axiom of union | Axiom schema of predicative separation | Signature (logic) | Zermelo set theory | Disjunctive syllogism | Class (set theory) | Well-founded relation | Law of excluded middle | Thoralf Skolem | Set-theoretic definition of natural numbers | Transitive set