Toom's rule is a 2-dimensional cellular automaton model created by Andrei Toom in 1978. This model is both more robust and simpler than the 2-dimensional majority vote rule. Toom's rule is a cellular automaton that acts on a 2-dimensional square lattice. At each site in this lattice is a spin with the value +1 or -1. At time the bits are initialized to some value. At each discrete time step the lattice evolves according to Toom's rule. This rule is applied at each site simultaneously. A deterministic version of Toom's rule can be stated simply as:At each site in the lattice if the spin of the current (center) site plus the neighboring spin to the North plus the neighboring spin to the East is greater than 0, then the current spin has the spin +1 in the next time step. Toom's rule is sometimes called the NEC rule since it involves the North, East, and Center sites. If this sum is less than 0, then the current spin has spin -1 in the next time step. As there are 3 spins the sum can never equal 0. Toom's rule, however, is a probabilistic rule and can be stated as:(1) Apply the deterministic version of Toom's rule. If (1) results in a spin of +1 change it to -1 with probability q.orIf (1) results in a spin of -1 change it to +1 with probability p. Toom's rule is a case of probabilistic cellular automata (see the article Stochastic cellular automaton). (Wikipedia).
Lecture 12: Square Roots, Newton's Method
MIT 6.006 Introduction to Algorithms, Fall 2011 View the complete course: http://ocw.mit.edu/6-006F11 Instructor: Srini Devadas License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.006 Introduction to Algorithms, Fall 2011
Using the power rule of exponents to simplify an expression
π Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the parenthesis is multiplied to eac
From playlist Simplify Using the Rules of Exponents
Angle Rules and reasoning GCSE Maths Foundation revision Exam paper practice & help
Edexcel GCSE Maths Linear Foundation June 2013 Paper 1 Question 25 Angle Rules and reasoning GCSE Maths Foundation revision Exam paper practice & help Play list for this exam paper - https://www.youtube.com/playlist?action_edit=1&list=PL2De0DVeFj3W8oyNWgPuduWs6KmZZtrvn
From playlist Edexcel GCSE Maths Foundation June 2013 Paper 1
Applying the power rule of exponents to an expressions
π Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the parenthesis is multiplied to eac
From playlist Simplify Using the Rules of Exponents
Simplify an expression by applying quotient rule of exponents
π Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
District Line Time Machines (Tales from the Tube Episode 13)
The District Line boasts no fewer than two time machines, so they have no excuse for delays. https://ko-fi.com/jagohazzard https://www.patreon.com/jagohazzard
From playlist London
Applying the power rule to simplify an expression with a rational power
π Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an expression with an exponent is raised to another exponent tha
From playlist Raise an Exponent to a Fraction
Learn the basics in simplifying an expression using the quotient rule of exponents
π Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
Simplify rational expression using the rules of exponents
π Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule
Bob Ross - Evening Seascape (Season 4 Episode 5)
Bob Ross fans! Itβs βtimeβ for some happy trees, and weβve got just what you need: https://pxlfy.me/BobRossWatchMightyMojoToys Feel the cool breeze and admire the beauty of turbulent waves, jagged cliffs and dark night skies -- Bob Ross paints a west coast seascape. Season 4 of The Joy o
From playlist The Joy of Painting -- The Full Collection (Seasons 1 to 31) (in chronological order)
Bob Ross - Mirrored Images (Season 24 Episode 6)
Bob Ross fans! Itβs βtimeβ for some happy trees, and weβve got just what you need: https://pxlfy.me/BobRossWatchMightyMojoToys Join Bob Ross on a clear windless day, where reflections are so smooth they appear to be crystal likenesses of the mountains above. Season 24 of The Joy of Painti
From playlist The Joy of Painting -- The Full Collection (Seasons 1 to 31) (in chronological order)
What is the power rule of exponents and how do we apply it
π Learn how to simplify expressions using the power rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual terms in the expression and the exponent outside the parenthesis is multiplied to eac
From playlist Simplify Using the Rules of Exponents
Simplifying an expression using the power rule of exponents
π Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an expression with an exponent is raised to another exponent tha
From playlist Raise an Exponent to a Fraction
The mother fish: by Nature Video
Evidence of reproduction by internal fertilization has been discovered in a large group of ancient jawed fish. Embryos discovered within fossils of these animals confirm that live birth in prehistoric times was much more widespread than previously thought. Watch the researchers talk about
From playlist Nature papers
How to apply the power to power rule with rational exponents
π Learn how to simplify rational powers using the power rule. There are some laws of exponents which might come handy when simplifying expressions with exponents. Some of the laws include the power rule which states that when an expression with an exponent is raised to another exponent tha
From playlist Raise an Exponent to a Fraction
Oxford 4f The Point of Hume's Analysis of Causation
A course by Peter Millican from Oxford University. Course Description: Dr Peter Millican gives a series of lectures looking at Scottish 18th Century Philosopher David Hume and the first book of his Treatise of Human Nature. Taken from: https://podcasts.ox.ac.uk/series/introduction-david
From playlist Oxford: Introduction to David Hume's Treatise of Human Nature Book One | CosmoLearning Philosophy
Stanford Open Office Hours: Tina Seelig, Part 1
Stanford University is bringing office hours to Facebook! Please visit http://facebook.com/stanford to participate and learn more.
From playlist Stanford Open Office Hours
Most US College Students Get This Wrong
To complete a job, it takes: Alice and Bob 2 hours, Alice and Charlie 3 hours, and Bob and Charlie 4 hours. How long will the job take if all 3 work together? Many, many US college students set up the equations incorrectly and get the wrong answer. Can you solve it? Watch the video to unde
From playlist Everyday Math
Simplify a rational expression by using properties of exponents
π Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the difference of the exponents of the term in the numerat
From playlist Simplify Using the Rules of Exponents | Quotient Rule