Undecidable problems | Theory of computation
In computability theory, the mortality problem is a decision problem which can be stated as follows: Given a Turing machine, decide whether it halts when run on any configuration (not necessarily a starting one) In the statement above, the configuration is a pair , where q is one of the machine's states (not necessarily its initial state) and w is an infinite sequence of symbols representing the initial content of the tape. Note that while we usually assume that in the starting configuration all but finitely many cells on the tape are blanks, in the mortality problem the tape can have arbitrary content, including infinitely many non-blank symbols written on it. Philip K. Hooper proved in 1966 that the mortality problem is undecidable. However, it can be shown that the set of Turing machines which are mortal (i.e. halt on every starting configuration) is recursively enumerable. * v * t * e (Wikipedia).
Statistics 5_1 Confidence Intervals
In this lecture explain the meaning of a confidence interval and look at the equation to calculate it.
From playlist Medical Statistics
(PP 6.1) Multivariate Gaussian - definition
Introduction to the multivariate Gaussian (or multivariate Normal) distribution.
From playlist Probability Theory
(PP 6.4) Density for a multivariate Gaussian - definition and intuition
The density of a (multivariate) non-degenerate Gaussian. Suggestions for how to remember the formula. Mathematical intuition for how to think about the formula.
From playlist Probability Theory
Linear regression is used to compare sets or pairs of numerical data points. We use it to find a correlation between variables.
From playlist Learning medical statistics with python and Jupyter notebooks
(PP 6.7) Geometric intuition for the multivariate Gaussian (part 2)
How to visualize the effect of the eigenvalues (scaling), eigenvectors (rotation), and mean vector (shift) on the density of a multivariate Gaussian.
From playlist Probability Theory
(PP 6.6) Geometric intuition for the multivariate Gaussian (part 1)
How to visualize the effect of the eigenvalues (scaling), eigenvectors (rotation), and mean vector (shift) on the density of a multivariate Gaussian.
From playlist Probability Theory
One of the oddest facts about the tragedy of suicide is that it isn’t as common in every country, society and age. Rates of suicide appear to rise enormously the more a society becomes wealthy and industrialised. Why should this be? And how can we learn from this about how we might better
From playlist SELF
Birth Rates and Death Rates in Differential Equations (Differential Equations 33)
https://www.patreon.com/ProfessorLeonard How changing Birth Rates and Death Rates can effect population growth and be modeled with Differential Equations.
From playlist Differential Equations
What is a conditional probability?
An introduction to the concept of conditional probabilities via a simple 2 dimensional discrete example. If you are interested in seeing more of the material, arranged into a playlist, please visit: https://www.youtube.com/playlist?list=PLFDbGp5YzjqXQ4oE4w9GVWdiokWB9gEpm For more inform
From playlist Bayesian statistics: a comprehensive course
Logic: The Structure of Reason
As a tool for characterizing rational thought, logic cuts across many philosophical disciplines and lies at the core of mathematics and computer science. Drawing on Aristotle’s Organon, Russell’s Principia Mathematica, and other central works, this program tracks the evolution of logic, be
From playlist Logic & Philosophy of Mathematics
IMS Public Lecture: Some Mathematical Insights into Aging and Mortality
Steven Evans, University of California at Berkeley, USA
From playlist Public Lectures
Fabian Immler, Carnegie Mellon University Formal mathematics and a proof of chaos Formal proof has been successfully applied to the verification of hardware and software systems. But formal proof is also applicable to mathematics: proofs can be checked with ultimate rigor and one can bui
From playlist Fall 2019 Kolchin Seminar in Differential Algebra
Evolution of species ecological niche and geographical range by Ophelie Ronce
The Third Bangalore School on Population Genetics and Evolution DATE:05 March 2018 to 17 March 2018 VENUE:Ramanujan Lecture Hall, ICTS Bangalore. No living organism escapes evolutionary change. Evolutionary biology thus connects all biological disciplines. To understand the processes dri
From playlist Third Bangalore School on Population Genetics and Evolution
Data Analysis Projects Python 2022 | 3 Amazing Python Projects To Add In Your Resume | Simplilearn
In this Data Analysis Projects Python 2022 video, you'll learn about 3 really interesting data analysis projects that you can work on to get hands-on experience. You will look at IPL data analysis, Formula 1 analysis and Dr. Semmelweis handwashing case study using Python programming and li
From playlist Python For Beginners 🔥[2022 Updated]
YCEI Sixth Annual Conference Future of Nuclear Energy Welcome/Keynote Address
YCEI Sixth Annual Conference Future of Nuclear Energy Welcome/Keynote Address, Pushker Kharecha, Columbia University Leading academics, industry professionals, former and current government officials gather to discuss the needs, impediments and opportunities for using nuclear energy to add
From playlist YCEI's 6th Annual Conference: "The Future of Nuclear Energy"
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
Gabriele Giannantoni explains the logic of Aristotle in the context of the history of logic in interview from 1990. These clips are from the Multimedia Encyclopedia of the Philosophical Sciences. The translation is my own. #Philosophy #Aristotle
From playlist Aristotle
Which Is Worse: Underpopulation Or Overpopulation?
This video was made in partnership with Gates Ventures. The human population of the world will soon peak – and then decrease – thanks to a combination of two quickly changing economic and educational trends. LEARN MORE ************** To learn more about this topic, start your googling wi
From playlist Policy
Epidemiologists Debunk 14 New Myths About COVID-19
COVID-19 and misinformation that surrounds the disease are still spreading. We bring back Syra Madad (@syramadad) and Stephen Morse to debunk 14 new coronavirus myths. They talk about the effectiveness of masks and what it'll take to reopen schools and keep them open. They also debunk the
From playlist Debunked