Theorems about curves | Spherical geometry | Spherical curves | Theorems in differential geometry
In geometry, the tennis ball theorem states that any smooth curve on the surface of a sphere that divides the sphere into two equal-area subsets without touching or crossing itself must have at least four inflection points, points at which the curve does not consistently bend to only one side of its tangent line.The tennis ball theorem was first published under this name by Vladimir Arnold in 1994, and is often attributed to Arnold, but a closely related result appears earlier in a 1968 paper by Beniamino Segre, and the tennis ball theorem itself is a special case of a theorem in a 1977 paper by Joel L. Weiner. The name of the theorem comes from the standard shape of a tennis ball, whose seam forms a curve that meets the conditions of the theorem; the same kind of curve is also used for the seams on baseballs. The tennis ball theorem can be generalized to any curve that is not contained in a closed hemisphere. A centrally symmetric curve on the sphere must have at least six inflection points. The theorem is analogous to the four-vertex theorem according to which any smooth closed plane curve has at least four points of extreme curvature. (Wikipedia).
In this video, I present another example of Stokes theorem, this time using it to calculate the line integral of a vector field. It is a very useful theorem that arises a lot in physics, for example in Maxwell's equations. Other Stokes Example: https://youtu.be/-fYbBSiqvUw Yet another Sto
From playlist Vector Calculus
Formal Definition of a Function using the Cartesian Product
Learning Objectives: In this video we give a formal definition of a function, one of the most foundation concepts in mathematics. We build this definition out of set theory. **************************************************** YOUR TURN! Learning math requires more than just watching vid
From playlist Discrete Math (Full Course: Sets, Logic, Proofs, Probability, Graph Theory, etc)
Calculus - The Fundamental Theorem, Part 1
The Fundamental Theorem of Calculus. First video in a short series on the topic. The theorem is stated and two simple examples are worked.
From playlist Calculus - The Fundamental Theorem of Calculus
In this video, I prove a very neat result about fixed points and give some cool applications. This is a must-see for calculus lovers, enjoy! Old Fixed Point Video: https://youtu.be/zEe5J3X6ISE Banach Fixed Point Theorem: https://youtu.be/9jL8iHw0ans Continuity Playlist: https://www.youtu
From playlist Calculus
The Fundamental Theorem of Calculus and How to Use it
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys The Fundamental Theorem of Calculus and How to Use it
From playlist Calculus 1
Calculus - The Fundamental Theorem, Part 2
The Fundamental Theorem of Calculus. A discussion of the antiderivative function and how it relates to the area under a graph.
From playlist Calculus - The Fundamental Theorem of Calculus
Set Theory (Part 5): Functions and the Axiom of Choice
Please feel free to leave comments/questions on the video and practice problems below! In this video, I introduce functions as a special sort of relation, go over some function-related terminology, and also prove two theorems involving left- and right-inverses, with the latter theorem nic
From playlist Set Theory by Mathoma
Boris Apanasov: Non-rigidity for Hyperbolic Lattices and Geometric Analysis
Boris Apanasov, University of Oklahoma Title: Non-rigidity for Hyperbolic Lattices and Geometric Analysis We create a conformal analogue of the M. Gromov-I. Piatetski-Shapiro interbreeding construction to obtain non-faithful representations of uniform hyperbolic 3-lattices with arbitrarily
From playlist 39th Annual Geometric Topology Workshop (Online), June 6-8, 2022
My Attempt at Visualizing Special Relativity - Part 4/4
Part 1: https://www.youtube.com/watch?v=8o2okVL9NjQ Part 2: https://www.youtube.com/watch?v=8kGfncqVQos Part 3: https://www.youtube.com/watch?v=aZmO0OE1KBY Music: ("Nature's Majesty") by xv K2 vx http://music4yourvids.co.uk/
From playlist My Attempt at Visualizing Special Relativity
Calculus: The Fundamental Theorem of Calculus
This is the second of two videos discussing Section 5.3 from Briggs/Cochran Calculus. In this section, I discuss both parts of the Fundamental Theorem of Calculus. I briefly discuss why the theorem is true, and work through several examples applying the theorem.
From playlist Calculus
Impulse Momentum Theorem Physics Problems - Average Force & Contact Time
This physics video tutorial provides a basic introduction into the impulse momentum theorem. This theorem states that impulse is equal to the change in the momentum of an object. Impulse is force multiplied by time and momentum is mass times velocity. This video explains how to calculat
From playlist New Physics Video Playlist
Defining Numbers & Functions Using SET THEORY // Foundations of Mathematics
We are all familiar with numbers and functions....but are these the most basic, most foundational concept in mathematics? Mathematicians use set theory as the basic building blocks of so much of math. In this video we are going to see how we can think of numbers and functions in terms of s
From playlist Cool Math Series
Antipodal Points - Numberphile
Featuring Simon Pampena... Check out Brilliant (and get 20% off their premium service): https://brilliant.org/numberphile (sponsor) More links & stuff in full description below ↓↓↓ Simon Pampena discusses antipodal points on tennis balls. A little bit extra from this interview: https://y
From playlist Simon Pampena on Numberphile
7.1 The Impulse-Momentum Theorem
This video covers Section 7.1 of Cutnell & Johnson Physics 10e, by David Young and Shane Stadler, published by John Wiley and Sons. The lecture is part of the course General Physics - Life Sciences I and II, taught by Dr. Boyd F. Edwards at Utah State University. This video was produced
From playlist Lecture 7A. Impulse and Momentum
Types Of Machine Learning | Machine Learning Algorithms | Machine Learning Tutorial | Simplilearn
🔥Artificial Intelligence Engineer Program (Discount Coupon: YTBE15): https://www.simplilearn.com/masters-in-artificial-intelligence?utm_campaign=TypesofMachineLearning&utm_medium=Descriptionff&utm_source=youtube 🔥Professional Certificate Program In AI And Machine Learning: https://www.simp
Relating angular and regular motion variables | Physics | Khan Academy
In this video David shows how to relate the angular displacement to the arc length, angular velocity to the speed, and angular acceleration to the tangential acceleration. Watch the next lesson: https://www.khanacademy.org/science/physics/torque-angular-momentum/rotational-kinematics/v/re
From playlist Torque and angular momentum | Physics | Khan Academy
الميكانيك التقليدي (إم آي تي) 17: قوة الدفع اللحظية، الصواريخ
MIT المحاضرة السابعة عشرة من مساق "الميكانيك التقليدي" من جامعة "إم آي تي" للبروفيسور والتر لوين وهي عن: قوة الدفع اللحظية، الصواريخ بالإضافة للفيديو هناك ملفات مرفقة على موقعنا الالكتروني https://shamsunalarabia.net/courses/ﺍﻟﻤﻴﻜﺎﻧﻴﻚ-التقليدي/ رابط المساق https://youtu.be/FNooVZcJvG0?lis
From playlist 8.01 Arabic Subtitles
The Lawvere fixed point theorem
In this video we prove a version of Lawveres fixed point theorem that holds in Cartesian closed categories. It's a nice construction that specializes to results such as Cantors diagonal argument and prove the the power set of a set is classically always larger than the set itself. https:/
From playlist Logic