The Dirac large numbers hypothesis (LNH) is an observation made by Paul Dirac in 1937 relating ratios of size scales in the Universe to that of force scales. The ratios constitute very large, dimensionless numbers: some 40 orders of magnitude in the present cosmological epoch. According to Dirac's hypothesis, the apparent similarity of these ratios might not be a mere coincidence but instead could imply a cosmology with these unusual features: * The strength of gravity, as represented by the gravitational constant, is inversely proportional to the age of the universe: * The mass of the universe is proportional to the square of the universe's age: . * Physical constants are actually not constant. Their values depend on the age of the Universe. (Wikipedia).
Group theoretic applications of the large sieve method - Chen Meiri
Speaker: Chen Meiri (Technion) Title: Group theoretic applications of the large sieve method Abstract: In this talked we will explain how the classical large sieve method from number theory can be applied to study properties of subsets of groups which have property-τ . As an application we
From playlist Mathematics
The Law of Large Numbers - Explained
The law of large numbers is one of the most intuitive ideas in statistics, however, often the strong and weak versions of the law can be difficult to understand. In this video, I breakdown what the definitions of both laws mean and use this as a way to introduce the concepts of convergence
From playlist Summer of Math Exposition 2 videos
Interesting Math Facts about Large Numbers
#shorts This video provides math facts about large numbers. https://mathispower4u.com
From playlist Math Shorts
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
The sporadic nature of big numbers | Data Structures in Mathematics Math Foundations 176
In this video we derive a fundamental but destabilizing fact about natural numbers: that almost everything we know about arithmetic with natural numbers starts to break down as we proceed to investigate bigger and bigger numbers. By studying complexity and making some estimates using count
From playlist Math Foundations
MINI-LESSON 3: The Law of Large Numbers. A very intuitive introduction.
Everything in empirical science is based on the law of large numbers. Remember that it fails under fat tails.
From playlist MINI LECTURES IN PROBABILITY
Sir Michael Atiyah - From Algebraic Geometry to Physics - a Personal Perspective [2010]
Slides for this talk: https://drive.google.com/open?id=1JAtO2i5e-G3d4DuQ0OHuu_gkUCjLY7Rc Name: Michael Atiyah Event: Simons Center Building Inauguration Conference Title: From Algebraic Geometry to Physics - a Personal Perspective Date: 2010-11-10 @9:00 AM http://scgp.stonybrook.edu/vid
From playlist Mathematics
Simone Cecchini: A long neck principle for Riemannian spin manifolds with positive scalar curvature
Talk by Jonathan Rosenberg in Global Noncommutative Geometry Seminar (Americas) http://www.math.wustl.edu/~xtang/NCG-Seminar.html on September 30, 2020.
From playlist Global Noncommutative Geometry Seminar (Americas)
Michael Weinstein: Waves and microstructures
Find this video and other talks given by worldwide mathematicians on CIRM's Audiovisual Mathematics Library: http://library.cirm-math.fr. And discover all its functionalities: - Chapter markers and keywords to watch the parts of your choice in the video - Videos enriched with abstracts, b
From playlist Partial Differential Equations
Divisibility, Prime Numbers, and Prime Factorization
Now that we understand division, we can talk about divisibility. A number is divisible by another if their quotient is a whole number. The smaller number is a factor of the larger one, but are there numbers with no factors at all? There's some pretty surprising stuff in this one! Watch th
From playlist Mathematics (All Of It)
CTNT 2018 - "L-functions and the Riemann Hypothesis" (Lecture 4) by Keith Conrad
This is lecture 4 of a mini-course on "L-functions and the Riemann Hypothesis", taught by Keith Conrad, during CTNT 2018, the Connecticut Summer School in Number Theory. For more information about CTNT and other resources and notes, see https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2018 - "L-functions and the Riemann Hypothesis" by Keith Conrad
Set Theory (Part 20): The Complex Numbers are Uncountably Infinite
Please feel free to leave comments/questions on the video and practice problems below! In this video, we will establish a bijection between the complex numbers and the real numbers, showing that the complex numbers are also uncountably infinite. This will eventually mean that the cardinal
From playlist Set Theory by Mathoma
Intro to Number Theory and The Divisibility Relation
This video introduces the divisibility relation and provided several examples. mathispower4u.com
From playlist Additional Topics: Generating Functions and Intro to Number Theory (Discrete Math)
Hermann Schulz-Baldes: Computational K-theory via the spectral localizer.
Talk by Hermann Schulz-Baldes in Global Noncommutative Geometry Seminar (Europe) http://www.noncommutativegeometry.nl/ncgseminar/ on March 24, 2021
From playlist Global Noncommutative Geometry Seminar (Europe)
Mod-01 Lec-22 Exchange Interactions, Magnetic Order, Neutron Diffraction
Condensed Matter Physics by Prof. G. Rangarajan, Department of Physics, IIT Madras. For more details on NPTEL visit http://nptel.iitm.ac.in
From playlist NPTEL: Condensed Matter Physics - CosmoLearning.com Physics Course
Neutrino Physics III - André de Gouvêa
Prospects in Theoretical Physics Particle Physics at the LHC and Beyond Topic: Neutrino Physics III Speaker: André de Gouvêa Date: July 21th, 2017
From playlist PiTP 2017
Film on Dr Homi Bhabha by TIFR marking his birth centenary in 2009
About the Film: Homi Jehangir Bhabha, who made visionary and historic contribution to institution and nation building, is one of the leading figures of science in India. On the occasion of his birth centenary in 2009 the Tata Institute of Fundamental Research (TIFR) made a film on his life
From playlist Public Lectures
Sir Michael Atiyah, What is a Spinor ?
Sir Michael Atiyah, University of Edinburgh What is a Spinor?
From playlist Conférence en l'honneur de Jean-Pierre Bourguignon
François Delarue - Stochastic control for large population driven by correlated noises
François Delarue (Université de Nice) I will discuss recent advances in large population stochastic control, in the spirit of the pioneering by Lasry and Lions and by Caines and Malhamé in 2006. The basic point is to seek approximate equilibria over families of interacting players when t
From playlist Schlumberger workshop on Topics in Applied Probability
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