The sequence that grows remarkably large, then drops to zero!
Goodstein sequences can get larger than Graham's number and the growth rate can be faster than Ackermann’s function. In fact, these sequences grow at such an incredible rate, that the theorem literally cannot be proven using first order arithmetic and can only be proven using a stronger sy
From playlist Summer of Math Exposition 2 videos
How Infinity Explains the Finite | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi Peano arithmetic proves many theories in mathematics but does have its limits. In order to prove certain things you have to step beyond these axioms. Sometimes you need
From playlist An Infinite Playlist
What is the max and min of a horizontal line on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Goodstein Sequences and Huge Numbers - MegaFavNumbers
One of mathematics weirdest aspects shows up in the so called Goodstein sequences and the truly gigantic numbers they reach. #MegaFavNumbers Small correction: The number should read 3*2^402653210 - 1
From playlist MegaFavNumbers
Should I bother to find the point c in the mean value theorem? - Week 9 - Lecture 11 - Mooculus
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From playlist Ohio State: Jim Fowler's Calculus One Lectures | CosmoLearning Mathematics
Prove or Disprove if the Function is Injective
Prove or Disprove if the Function is Injective If you enjoyed this video please consider liking, sharing, and subscribing. You can also help support my channel by becoming a member https://www.youtube.com/channel/UCr7lmzIk63PZnBw3bezl-Mg/join Thank you:)
From playlist Functions, Sets, and Relations
Using the ivt to show a value c exists with a given range
👉 Learn about the intermediate value theorem. The intermediate value theorem states that if a continuous function, f, with an interval [a, b], as its domain, takes values f(a) and f(b) at each end of the interval, then it also takes any value between f(a) and f(b) at some point within the
From playlist Intermediate Value Theorem of Functions
Find the max and min of a linear function on the closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
The Mathematics of Quantum Computers | Infinite Series
Viewers like you help make PBS (Thank you 😃) . Support your local PBS Member Station here: https://to.pbs.org/donateinfi What is the math behind quantum computers? And why are quantum computers so amazing? Find out on this episode of Infinite Series. Tweet at us! @pbsinfinite Facebook:
From playlist Quantum Computers
Wolfram Physics Project: Working Session Tuesday, Nov. 3, 2020 [Combinators]
This is a Wolfram Physics Project working session on combinators. Originally livestreamed at: https://twitch.tv/stephen_wolfram Stay up-to-date on this project by visiting our website: http://wolfr.am/physics Check out the announcement post: http://wolfr.am/physics-announcement Find the
From playlist Wolfram Physics Project Livestream Archive
Determine the extrema of a function on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Infinite Sets and Foundations (Joel David Hamkins) | Ep. 17
Joel David Hamkins is a Professor of Logic with appointments in Philosophy and Mathematics at Oxford University. His main interest is in set theory. We discuss the field of set theory: what it can say about infinite sets and which issues are unresolved, and the relation of set theory to ph
From playlist Daniel Rubin Show, Full episodes
Siggraph 1985 - The Mechanical Universe Demo
A short demonstration video of the computer animations for "The Mechanical Universe," produced by Jim Blinn for the 1985 Special Interest Group on Graphics (Siggraph) of the Association for Computing Machinery conference. Visit http://JimBlinn.com for more details. “The Mechanical Univers
From playlist The Mechanical Universe
Episode 7: Integration - The Mechanical Universe
Episode 7. Integration: Newton and Leibniz arrive at the conclusion that differentiation and integration are inverse processes. “The Mechanical Universe,” is a critically-acclaimed series of 52 thirty-minute videos covering the basic topics of an introductory university physics course. E
From playlist The Mechanical Universe
Session 4 - Becoming Caltech, 1910–1930: Presentations from the Archives - 7/23/2020
Session 4: From High Volts to High Energy Physics (begins at 1:41) The Life and Times of Mathematician Olga Taussky-Todd (begins at 16:15) Clubs and Sports (begins at 40:16) Q&A (begins at 1:00:12) Learn more about: - This series: https://www.library.caltech.edu/becoming-caltech-presenta
From playlist Becoming Caltech, 1910–1930: Presentations from the Archives
The Mean Value Theorem From Calculus Explanation and Example of Finding c
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Mean Value Theorem From Calculus Explanation and Example of Finding c
From playlist Calculus 1 Exam 2 Playlist
Multivariable Calculus | Differentiability
We give the definition of differentiability for a multivariable function and provide a few examples. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Multivariable Calculus
How to determine the max and min of a sine on a closed interval
👉 Learn how to find the extreme values of a function using the extreme value theorem. The extreme values of a function are the points/intervals where the graph is decreasing, increasing, or has an inflection point. A theorem which guarantees the existence of the maximum and minimum points
From playlist Extreme Value Theorem of Functions
Session 3 - Becoming Caltech, 1910–1930: Presentations from the Archives - 7/9/2020
Session 3: Caltech's Early Architects (begins at 2:38) E. T. Bell and Mathematics Between the Wars, by special guest Judith R. Goodstein, University Archivist, Emeritus (begins at 14:07) Student Life and the Original Big T, Carved into a Mountain (begins at 31:51) Q&A (begins at 50:08) L
From playlist Becoming Caltech, 1910–1930: Presentations from the Archives