In mathematics, a Swiss cheese is a compact subset of the complex plane obtained by removing from a closed disc some countable union of open discs, usually with some restriction on the centres and radii of the removed discs. Traditionally the deleted discs should have pairwise disjoint closures which are subsets of the interior of the starting disc, the sum of the radii of the deleted discs should be finite, and the Swiss cheese should have empty interior. This is the type of Swiss cheese originally introduced by the Swiss mathematician Alice Roth. More generally, a Swiss cheese may be all or part of Euclidean space Rn – or of an even more complicated manifold – with "holes" in it. (Wikipedia).
Faulhaber's Formula and Bernoulli Numbers | Algebraic Calculus One | Wild Egg
This is a lecture in the Algebraic Calculus One course, which will present an exciting new approach to calculus, sticking with rational numbers and high school algebra, and avoiding all "infinite processes", "real numbers" and other modern fantasies. The course will be carefully framed on
From playlist Algebraic Calculus One from Wild Egg
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
Abstract Algebra | What is a ring?
We give the definition of a ring and present some examples. http://www.michael-penn.net http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
Logical challenges with abstract algebra II | Abstract Algebra Math Foundations 215 | NJ Wildberger
There is a very big jump in going from finite algebraic objects to "infinite algebraic objects". For example, there is a huge difference, if one is interested in very precise definitions, between the concept of a finite group and the concept of an "infinite group". We illustrate this imp
From playlist Math Foundations
Abstract Algebra: The definition of a Ring
Learn the definition of a ring, one of the central objects in abstract algebra. We give several examples to illustrate this concept including matrices and polynomials. Be sure to subscribe so you don't miss new lessons from Socratica: http://bit.ly/1ixuu9W ♦♦♦♦♦♦♦♦♦♦ We recommend th
From playlist Abstract Algebra
An introduction to abstract algebra | Abstract Algebra Math Foundations 213 | NJ Wildberger
How do we set up abstract algebra? In other words, how do we define basic algebraic objects such as groups, rings, fields, vector spaces, algebras, lattices, modules, Lie algebras, hypergroups etc etc?? This is a hugely important question, and not an easy one to answer. In this video we s
From playlist Math Foundations
Abstract Algebra | The Second Isomorphism Theorem for Rings
We state and prove the second isomorphism theorem for rings. http://www.michael-penn.net https://www.researchgate.net/profile/Michael_Penn5 http://www.randolphcollege.edu/mathematics/
From playlist Abstract Algebra
The Fundamental Theorem of Calculus | Algebraic Calculus One | Wild Egg
In this video we lay out the Fundamental Theorem of Calculus --from the point of view of the Algebraic Calculus. This key result, presented here for the very first time (!), shows how to generalize the Fundamental Formula of the Calculus which we presented a few videos ago, incorporating t
From playlist Algebraic Calculus One
How Many Holes Does a Straw Have? (Topology 101)
I'm going into 7th grade, and this is my first video! I'm very excited to share this with you! As promised, here is my source, and further learning into the topic (like how topology is applied in today's society) https://www.quantamagazine.org/topology-101-how-mathematicians-study-holes
From playlist Summer of Math Exposition Youtube Videos
Why Does Some Cheese Have Holes?
Cheese is a great snack! One of the best things about it is that there's so many different kinds: cheddar, mozzarella, provolone, gouda... the list goes on and on! But have you ever wondered why some cheeses, like Swiss, are full of little holes? ---------- Love SciShow Kids and want to
From playlist Science In The Kitchen!
Ask Michel Anything - Peanut Butter and Cheese Sandwich?
Visit http://ilectureonline.com for more math and science lectures! Professor Michel van Biezen will “scientifically” test whether he like peanut butter and cheese sandwiches. To donate: http://www.ilectureonline.com/donate https://www.patreon.com/user?u=3236071 Next video in this serie
From playlist ASK MICHEL ANYTHING!
Why Does Swiss Cheese Have Holes?
SciShow explains a) why Swiss cheese has holes, b) what Swiss cheese is called in Switzerland and c) what vested interest the U.S. government has in said cheese holes. Seriously, people. Help support us by subscribing to our page on Subbable: https://subbable.com/scishow ---------- Like Sc
From playlist Uploads
Why do some people but not others develop substance use problems? | NCLEX-RN | Khan Academy
Visit us (http://www.khanacademy.org/science/healthcare-and-medicine) for health and medicine content or (http://www.khanacademy.org/test-prep/mcat) for MCAT related content. These videos do not provide medical advice and are for informational purposes only. The videos are not intended to
From playlist Mental health | NCLEX-RN | Khan Academy
Explore the Fort! | SciShow Kids Compilation
Welcome back to the Fort! There's always a lot going on around here, so feel free to take a look around, say hello to all of our friends, and have fun watching some of their favorite videos! See you again soon! ---------- Looking for SciShow elsewhere on the internet? Facebook: http://ww
From playlist SciShow Kids
Top Food Fads in Every Decade | History by The Decade
Join us as we highlight the trends that have defined us from the 1920s to now in History by the Decade - https://histv.co/ByTheDecade Put down your avocado toast and TV dinner - and discover the top food fads from the 1920s to today, in this episode of History By the Decade. #HistoryBythe
From playlist HISTORY EXPLAINED: History Digital Exclusives
Large deviations for the Wiener Sausage (Lecture 2) by Frank den Hollander
Large deviation theory in statistical physics: Recent advances and future challenges DATE: 14 August 2017 to 13 October 2017 VENUE: Madhava Lecture Hall, ICTS, Bengaluru Large deviation theory made its way into statistical physics as a mathematical framework for studying equilibrium syst
From playlist Large deviation theory in statistical physics: Recent advances and future challenges
Discovering Gravitational Waves: Brian Greene and Gabriela González
Brian Greene engages physicist and former LIGO spokesperson Gabriela González in a conversation about LIGO and Virgo's new announcement of the most massive gravitational wave source to date and discusses what we've learned about the cosmos. This program is part of the Big Ideas series, su
From playlist WSU Live Sessions
The Cross Product and Meister's Formula | Algebraic Calculus One | Wild Egg
In this lecture, we introduce the cross product of two planar vectors: a somewhat novel notion that allows us to establish the signed area notion for general triangles. We are touching base with linear algebraic ideas here in establishing the linearity and skew-symmetric properties of the
From playlist Algebraic Calculus One from Wild Egg
Heads Up for AlgCalcOne: The Cross Product and Meister's formula
This is a heads up for our latest lecture in the Algebraic Calculus One course where we introduce the fundamental signed area definition for oriented triangles and then oriented n-gons, and derive a lovely formula of Meister from the 18th century. We also introduce a novel planar variant o
From playlist Algebraic Calculus One Info
The beneficial bacteria that make delicious food - Erez Garty
View full lesson: http://ed.ted.com/lessons/why-is-bread-fluffy-vinegar-sour-and-swiss-cheese-holey-erez-garty Where does bread get its fluffiness? Swiss cheese its holes? And what makes vinegar so sour? These foods may taste completely different, but all of these phenomena come from micr
From playlist New TED-Ed Originals