Operations on numbers | Large numbers | Exponentials
In mathematics, tetration (or hyper-4) is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, though and the left-exponent xb are common. Under the definition as repeated exponentiation, means , where n copies of a are iterated via exponentiation, right-to-left, i.e. the application of exponentiation times. n is called the "height" of the function, while a is called the "base," analogous to exponentiation. It would be read as "the nth tetration of a". It is the next hyperoperation after exponentiation, but before pentation. The word was coined by Reuben Louis Goodstein from tetra- (four) and iteration. Tetration is also defined recursively as allowing for attempts to extend tetration to non-natural numbers such as real and complex numbers. The two inverses of tetration are called super-root and super-logarithm, analogous to the nth root and the logarithmic functions. None of the three functions are elementary. Tetration is used for the notation of very large numbers. (Wikipedia).
Stanford artist collaborates with physics department for 'Drawing with Tetrahedra'
Physics faculty members and graduate students use tetrahedra to create a less-than-perfect structure that explores the connection between shape and sound. For more information, see: http://news.stanford.edu/news/2014/march/tetra-physics-vivaldi-040214.html
From playlist Stanford Highlights
Chemical Reactions (4 of 11) Decomposition Reactions, An Explanation
Describes the basics of decomposition reactions, how to identify them, predict the products and balance the chemical equation. Two examples are also shown, decomposition of sugar and hydrogen peroxide. A chemical reaction is a process that leads to the chemical change of one set of chemic
From playlist Chemical Reactions and Stoichiometry
Multiplying Decimals is easy To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product. #decimals #decimalmultiplication #howtomultiplydecimals
From playlist Fractions
On Tetration, Part I: Inverses - THE GENERALIZATION WAR
WELCOME. ...to the start of a series of lectures on some of the properties that we can glean about the various power towers of x. Today we learn about the inverses, and in the next part of this NUKE we will generalize the DERIVATIVES of the power towers to all natural heights. Here we
From playlist The Generalization War
On Tetration, Part II: Derivatives - THE GENERALIZATION WAR
...and we're back! Back to business, back in action, and back to super-square one. Not really. In this video, we are of course going to expand and expound on our ideas and findings in my previous video on tetration, seen here: https://www.youtube.com/watch?v=czxRs8T0JcM&t=243s which foc
From playlist The Generalization War
WHAT COMES AFTER EXPONENTS? Tetration examples and extensions | ND
This video about what comes after exponents and tetration (also known as hyper-4 or power tower math) was actually inspired by a comment left on the discussion page of my channel, so thanks Cullen! Anyhow, the goal of this video was to build up the idea of tetration from scratch and then i
From playlist The New CHALKboard
Cool Math: The Lambert W Function and Infinite Tetration
Here is one of many applications of the Lambert W function in calculating the value of converging tetrations (hyper-4 operator), or "power towers". Tetration is also explained here, so don't worry if you have never heard of them! Watch the Lambert W function appear before your very eyes!
From playlist Math
This is my submission for 3Blue1Brown's Summer of Math Exposition. A while back, I experimented with creating an operation before addition, and I've wanted to make a video (2 videos) taking others on the same journey that I took. 3B1B's contest finally motivated me to make this Music: (pr
From playlist Summer of Math Exposition Youtube Videos
This video is part of the MegaFavNumbers project. A bunch of Maths YouTubers have come together to make videos about their favourite numbers bigger than one million, which we are calling #MegaFavNumbers. --- I know, I know, I was supposed to only pick one. But picking two let me tell a
From playlist MegaFavNumbers
The power tower puzzle | Ep. 8 Lockdown live math
A fun puzzle stemming from repeated exponentiation. Full playlist: https://www.youtube.com/playlist?list=PLZHQObOWTQDP5CVelJJ1bNDouqrAhVPev Home page: https://www.3blue1brown.com Brought to you by you: https://3b1b.co/ldm-thanks Notes by Ngân Vũ: https://twitter.com/ThuyNganVu/status/1261
From playlist Lockdown math
From playlist Quarantstreams
Math - Addition, Multiplication, Exponents, & Tetration
This mathematics video tutorial provides a basic introduction into addition, multiplication, exponents, and tetration. Addition can be thought of as repeat counting. Multiplication is repeat addition and exponentiation is repeat multiplication. Tetration is repeat exponentiation. This
From playlist New Calculus Video Playlist
Solve a system of equation when they are the same line
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Medium
Permutations and Combinations - Permutions.
Permutations are easy to understand...but take time to get to why we work them out the way we do so you can understand them better. This video also looks at how permutations differ from combinations, and well as looking at simple permutations, permutations with limited spaces, permutation
From playlist permutations and combinations
How to multiply ANY numbers the fast way - Fast Math Trick
#fastmathtricks #mentalmath #mathtrick Using this math trick for fast calculation you will be able to multiply any pair of three digit numbers with each other faster than you ever imagined. On top of that this fast math trick can be easily used to multiply any numbers faster than you've
From playlist Addition, subtraction, division and multiplication.
Simultaneous Equations Math Lesson
Simultaneous equations are where we work with two algebreic equations to solve unknowm variables. To donate to the tecmath channel:https://paypal.me/tecmath To support tecmath on Patreon: https://www.patreon.com/tecmath To buy tecmath mechandise: https://teespring.com/stores/tecmath-st
From playlist Simultaneous Equations - Algebra
Titration of Strong Acid With Strong Base
One of the most commonly performed techniques in the general chemistry laboratory is the acid-base titration. This is an analytical technique that we can use to determine the concentration of some analyte by titrating with some titrant of known concentration. In this experiment we will det
From playlist Chemistry Laboratory Techniques
Using Multipliers to Solve a System of Equations Using Elimination
👉Learn how to solve a system (of equations) by elimination. A system of equations is a set of equations which are collectively satisfied by one solution of the variables. The elimination method of solving a system of equations involves making the coefficient of one of the variables to be e
From playlist Solve a System of Equations Using Elimination | Hard
Solve the general solution for differentiable equation with trig
Learn how to solve the particular solution of differential equations. A differential equation is an equation that relates a function with its derivatives. The solution to a differential equation involves two parts: the general solution and the particular solution. The general solution give
From playlist Differential Equations
"Prove" 4 = 2. Can You Spot The Mistake?
Many people emailed me this apparent paradox showing 4 = 2. Can you figure out where the mistake is? My blog post for this video https://wp.me/p6aMk-80Q Award winning paper Knoebel, R. Arthur. "Exponentials reiterated." The American Mathematical Monthly 88.4 (1981): 235-252. http://www.m
From playlist False Proofs And Fallacies