My Favorite Theorem: The Borsuk-Ulam Theorem
Many thanks for 10k subscribers! Fun video for you from Topology: The Borsuk-Ulam Theorem. One interpretation of this is that on the surface of the earth, there must be some point where it and its antipode (the spot exactly opposite it) have the exact same temperature and pressure. More ge
From playlist Cool Math Series
Dimitri Zvonkine - On two ELSV formulas
The ELSV formula (discovered by Ekedahl, Lando, Shapiro and Vainshtein) is an equality between two numbers. The first one is a Hurwitz number that can be defined as the number of factorizations of a given permutation into transpositions. The second is the integral of a characteristic class
From playlist 4th Itzykson Colloquium - Moduli Spaces and Quantum Curves
Irreducibility and the Schoenemann-Eisenstein criterion | Famous Math Probs 20b | N J Wildberger
In the context of defining and computing the cyclotomic polynumbers (or polynomials), we consider irreducibility. Gauss's lemma connects irreducibility over the integers to irreducibility over the rational numbers. Then we describe T. Schoenemann's irreducibility criterion, which uses some
From playlist Famous Math Problems
Topics in Combinatorics lecture 6.2 --- Variants of the Borsuk-Ulam theorem
The Borsuk-Ulam theorem states that if f is a continuous function from S^n to R^n (that is, from the n-sphere to n-dimensional Euclidean space), then there exists x such that f(x) = f(-x). It has many applications, including in combinatorics. In this video I prepare the ground for explaini
From playlist Topics in Combinatorics (Cambridge Part III course)
Applying iram to a table of values
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral
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
Differential Equations | Euler's Method
We derive Euler's method for approximating solutions to first order differential equations.
From playlist Mathematics named after Leonhard Euler
I define one of the most important constants in mathematics, the Euler-Mascheroni constant. It intuitively measures how far off the harmonic series 1 + 1/2 + ... + 1/n is from ln(n). In this video, I show that the constant must exist. It is an open problem to figure out if the constant is
From playlist Series
Napoleon and the War of the Third Coalition | World history | Khan Academy
Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/humanities/world-history/1600s-1800s/napoleon-bonaparte/v/napoleon-and-the-war-of-the-third-coalition Napoleon leads France to become the dominant power in Europe. Napo
From playlist Enlightenment and Revolution | World History | Khan Academy
Germany's 27-Year Struggle to Complete a Rail Project
The immense Stuttgart 21 project will transform how railways pass through the city's centre... when it finishes. For more by The B1M subscribe now - http://ow.ly/GxW7y Full story here - http://www.theb1m.com/video/germanys-27-year-struggle-to-complete-a-rail-project Go Behind The B1M.
From playlist Epic Railways - The B1M
Munich to Paris by TGV Duplex high-speed train, 5h47 from €39.90
Ride a 320km/h TGV Duplex double-deck high-speed train from Munich to Paris, seeing the sun rise & morning mists clear over the Bavarian countryside. See what the train, stations & scenery are like, including first class (upper & lower deck), second class and the cafe-bar. You'll glimpse
From playlist Train Travel In Europe
An ion in a sea of ultracold neutral atoms by Johannes Hecker Denschlag
Open Quantum Systems DATE: 17 July 2017 to 04 August 2017 VENUE: Ramanujan Lecture Hall, ICTS Bangalore There have been major recent breakthroughs, both experimental and theoretical, in the field of Open Quantum Systems. The aim of this program is to bring together leaders in the Open Q
From playlist Open Quantum Systems
Killing Rommel - The Demise of the Desert Fox
What were the circumstances that led to the death of Germany's most famous WW2 general, Field Marshal Erwin Rommel? Get the full story here. Dr. Mark Felton is a well-known British historian, the author of 22 non-fiction books, including bestsellers 'Zero Night' and 'Castle of the Eagles'
From playlist The Plots to Kill Hitler
Stuttgart '45 - Das Kriegsende im SĂĽdwesten
Stuttgart wurde bereits seit 1943 von Luftangriffen heimgesucht, jedoch richteten diese keine großen Schäden an. Durch häufigen Nebel war die Stadt im Tal schwer aufzufinden. Doch zwischen 1943 und 1945 begannen die Amerikaner mit massiven Angriffen, die den Untergang Stuttgarts herbeiführ
From playlist Städte in Deutschland 1945
[BOURBAKI 2017] 21/10/2017 - 3/4 - Olivier GUICHARD
Groupes convexes-cocompacts en rang supérieur ---------------------------------- Vous pouvez nous rejoindre sur les réseaux sociaux pour suivre nos actualités. Facebook : https://www.facebook.com/InstitutHenriPoincare/ Twitter : https://twitter.com/InHenriPoincare Instagram : https://www
From playlist BOURBAKI - 2017
What is the Riemann Hypothesis?
This video provides a basic introduction to the Riemann Hypothesis based on the the superb book 'Prime Obsession' by John Derbyshire. Along the way I look at convergent and divergent series, Euler's famous solution to the Basel problem, and the Riemann-Zeta function. Analytic continuation
From playlist Mathematics
Shimura curves and new abc bounds -Hector Pasten
Joint IAS/Princeton University Number Theory Seminar Topic: Shimura curves and new abc bounds Speaker: Hector Pasten Affiliation: Harvard University Date: November 28, 2017 For more videos, please visit http://video.ias.edu
From playlist Mathematics
Jean-Louis Colliot-Thélène : Cycles de torsion non détectés par l’application de Jannsen
CONFERENCE Recording during the thematic meeting : « Symposium on Arithmetic Geometry and its Applications» the February 07, 2023 at the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwid
From playlist Algebraic and Complex Geometry
Gianluca Paolini: Torsion-free Abelian groups are Borel complete
HYBRID EVENT Recorded during the meeting "XVI International Luminy Workshop in Set Theory" the September 14, 2021 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicia
From playlist Logic and Foundations
Applying reimann sum for the midpoint rule and 3 partitions
👉 Learn how to approximate the integral of a function using the Reimann sum approximation. Reimann sum is an approximation of the area under a curve or between two curves by dividing it into multiple simple shapes like rectangles and trapezoids. In using the Reimann sum to approximate the
From playlist The Integral