Articles containing proofs | Mathematical paradoxes
The interesting number paradox is a humorous paradox which arises from the attempt to classify every natural number as either "interesting" or "uninteresting". The paradox states that every natural number is interesting. The "proof" is by contradiction: if there exists a non-empty set of uninteresting natural numbers, there would be a smallest uninteresting number – but the smallest uninteresting number is itself interesting because it is the smallest uninteresting number, thus producing a contradiction. "Interestingness" concerning numbers is not a formal concept in normal terms, but an innate notion of "interestingness" seems to run among some number theorists. Famously, in a discussion between the mathematicians G. H. Hardy and Srinivasa Ramanujan about interesting and uninteresting numbers, Hardy remarked that the number 1729 of the taxicab he had ridden seemed "rather a dull one", and Ramanujan immediately answered that it is interesting, being the smallest number that is the sum of two cubes in two different ways. (Wikipedia).
Why are complex numbers awesome? What are they and how are they useful? Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook Test your understanding via a short quiz http://goo.gl/forms/3T2ZqTfgrL Make learning "complex" numbers easy through an interactive, fun and
From playlist Intro to Complex Numbers
We discuss what imaginary numbers are and how they are part of the larger set of complex numbers in this free math video tutorial by Mario's Math Tutoring. This is a nice introduction to working with i. We also go through some examples. 0:26 A Hierarchy of Different Types of Numbers 1:03
From playlist Imaginary & Complex Numbers
The corner cube problem is interesting because it initially looks difficult. When the problem was first posed to me, for example, it didn't know how to solve it. Still, my intuition bells were ringing, telling me there was a nice solution. In this video, I cover two of these solutions, in
From playlist Fun
What is Special About the Spelling of Odd Numbers?
This video explains what is special about the spelling of all odd numbers.
From playlist Mathematics General Interest
Complex Numbers as Points (1 of 4: Geometric Meaning of Addition)
More resources available at www.misterwootube.com
From playlist Complex Numbers
How big are complex numbers? We discuss a way of measuring them via the modulus. The ideas use Pythagorus' theorem. Free ebook http://bookboon.com/en/introduction-to-complex-numbers-ebook
From playlist Intro to Complex Numbers
Geometry of Complex Numbers (2 of 6: Real vs. Complex)
More resources available at www.misterwootube.com
From playlist Introduction to Complex Numbers
Why Complex Numbers? (2 of 5: Impossible Roots)
More resources available at www.misterwootube.com
From playlist Complex Numbers
Calculus 2: Complex Numbers & Functions (1 of 28) What is a Complex Number?
Visit http://ilectureonline.com for more math and science lectures! In this video I will explain what is, graphically and mathematically, a complex number; and how it's used in electric circuits, Fourier transforms, and Euler formula. Next video in the series can be seen at: https://yout
From playlist CALCULUS 2 CH 11 COMPLEX NUMBERS
Online-Vortrag "Paradoxe Phänomene in der Mathematik" (Director's Cut)
Aufzeichnung (Director's Cut) der ersten virtuellen Ausgabe der öffentlichen Reihe "Brücken in der Mathematik". Prof. Dr. Martin Hils und Prof. Dr. Matthias Löwe erläutern paradoxe Phänomene in der Mathematik. Darum geht es: Die Welt – insbesondere die der Mathematik – ist voller Rätsel.
From playlist Brücken in der Mathematik
Online-Vortrag "Paradoxe Phänomene in der Mathematik" (Livestream)
Livestream-Aufzeichnung der ersten virtuellen Ausgabe der öffentlichen Reihe "Brücken in der Mathematik". Prof. Dr. Martin Hils und Prof. Dr. Matthias Löwe erläutern paradoxe Phänomene in der Mathematik. Dies ist die Original-Aufzeichnung des Livestreams. Hier finden Sie den "Director's C
From playlist Brücken in der Mathematik
This Paradox Proves Motion is a Lie (Achilles and the Tortoise)
The Greek philosopher Zeno famously wrote a book of paradoxes 2,500 years ago that still continues to baffle scientists and philosophers today. One of his paradoxes, titled Achilles and the Tortoise, examines the idea of infinity in great philosophical complexity. Figuring out the answer t
From playlist Concerning Education
The Information Paradox and Holography by Suvrat Raju
ICTS at Ten ORGANIZERS: Rajesh Gopakumar and Spenta R. Wadia DATE: 04 January 2018 to 06 January 2018 VENUE: International Centre for Theoretical Sciences, Bengaluru This is the tenth year of ICTS-TIFR since it came into existence on 2nd August 2007. ICTS has now grown to have more tha
From playlist ICTS at Ten
Statistical mechanical perspectives on cosmological puzzles by Christian Maes
COLLOQUIUM STATISTICAL MECHANICAL PERSPECTIVES ON COSMOLOGICAL PUZZLES SPEAKER: Christian Maes (Instituut voor Theoretische Fysica, KU Leuven) DATE : Mon, 18 November 2019, 15:30 to 16:30 VENUE: Ramanujan Lecture Hall, ICTS Campus, Bangalore ABSTRACT We review some well-known parado
From playlist ICTS Colloquia
Gödel's Incompleteness Theorems: An Informal Introduction to Formal Logic #SoME2
My entry into SoME2. Also, my first ever video. I hope you enjoy. The Book List: Logic by Paul Tomassi A very good first textbook. Quite slow at first and its treatment of first-order logic leaves a little to be desired in my opinion, but very good on context, i.e. why formal logic is im
From playlist Summer of Math Exposition 2 videos
The Friendship Paradox | This is in your recommended because it relates to the spread of diseases
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From playlist Applied Math
Obscure Biochemical Paradox May Explain Why We Can't Find Alien Life
Get a Wonderful Person Tee: https://teespring.com/stores/whatdamath More cool designs are on Amazon: https://amzn.to/3wDGy2i Alternatively, PayPal donations can be sent here: http://paypal.me/whatdamath Hello and welcome! My name is Anton and in this video, we will talk about a potential
From playlist Fermi Paradox Series
Simpson's Paradox, Vaccine Effectiveness, and the Delta Variant // Math Minute [#38] [STATISTICS]
Have you heard? New data came out of Israel in August of 2021, and vaccine effectiveness is in the tank. Must be the Delta Variant, right? Not necessarily. Subscribe: https://bit.ly/polymathematic | Enable ALL push notifications 🔔 There's a statistical phenomenon called Simpson's Paradox
From playlist Math Minutes
Ex: Linear Equation Application with One Variable - Number Problem
This video provides and example of how to solve a number problem using a linear equation with one variable. One number is a multiple of the other. The difference is a constant. Find the two numbers. Library: http://mathispower4u.com Search: http://mathispower4u.wordpress.com
From playlist Whole Number Applications
Braess's Paradox - Equilibria Gone Wild
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From playlist Physics