- Tetration Function🔍
- What is . . . tetration?🔍
- Do we care about tetration other than as a curiosity? 🔍
- Basic tetration introduction🔍
- $n^{th}$ derivative of a tetration function🔍
- What are the real|life applications of tetration?🔍
- Continuous iteration of functions🔍
- Is there an efficient implementation of tetration?🔍
Tetration Function
In mathematics, tetration (or hyper-4) is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, ...
Tetration | Brilliant Math & Science Wiki
Tetration is, for the most part, another name for iterated exponentiation ... or the explicit function \(-2\text{ mod}\big(\frac { x }{ 2 } ,1\big)+1 ...
Tetration Function: Simple Definition and Examples - Statistics How To
Tetration is iterated (repeated) exponentiation. The exponent "b" tells you how many times to exponentiate the base. It's the fourth arithmetic operation.
What is . . . tetration? | OSU Math
The super-logarithm function slog is defined such that slogab = n if na = b. While x = pas satisfies 2x = a, one can solve this equation in terms of more ...
Do we care about tetration other than as a curiosity? : r/math - Reddit
Tetration is repeated exponentiation, in much the same way that exponentiation is repeated multiplication is repeated addition is repeated counting.
Tetration | C For Dummies Blog
Tetration is a mathematical process that generates obnoxiously huge numbers quickly. It's exponentiation on overdrive.
Basic tetration introduction - YouTube
... tetration here: 👉 https://en.wikipedia.org/wiki/Tetration Shop my ... Lambert W Function. Prime Newtons•666K views · 8:02. Go to channel ...
Tetration | Googology Wiki - Fandom
Tetration is the fourth hyper operator, and the first that does not appear in mainstream mathematics. When repeated, it is called pentation. The function ...
Tetration: The operation you were (probably) never taught - YouTube
We've all done addition and multiplication, and maybe even exponentiation. But what comes after? Is there more? In this episode, we look ...
$n^{th}$ derivative of a tetration function - Math Stack Exchange
nth derivative of a tetration function ... I stumbled upon this very peculiar function last summer, namely: f(x)=xxx...x, where there is a number ...
What are the real-life applications of tetration? - Quora
For example, Euler's tree function T(x), the exponential formal power series for the species of labeled rooted trees [1], has a very elegant ...
Tetration | Wolfram Function Repository
Wolfram Language function: Compute the order-k tetration of a number. Complete documentation and usage examples. Download an example notebook or open in the ...
Continuous iteration of functions - Tetration.org
Tetration is defined as iterated exponentiation but while exponentiation is essential to a large body of mathematics, little is known about tetration due to its ...
Is there an efficient implementation of tetration? - Stack Overflow
... function part of which involved a function for computing the tetration of a number. ... tetration function output, just at one recursion less.
Math - Addition, Multiplication, Exponents, & Tetration - YouTube
... Functions: https://www.youtube.com/watch?v=ld4UD98yHio Graphing Linear Inequalities In 2 Variables: https://www.youtube.com/watch?v ...
Why is tetration - so much less common than exponentiation? - Quora
From my understanding, tetration is not considered an elementary function like addition and multiplication (maybe exponentiation?) are. Also ...
Just as multiplication is repeated addition and exponentiation is repeated multiplication, so tetration is repeated exponentiation. (The word was formed by use ...
An explicit series representation for the analytic tetration with ...
There is only one analytic function that vanishes at z=−1 and satisfies both the functional equation for the tetration (6), and the complete ...
Solving a tetration equation - YouTube
Edit: Any INTPs?😀. 14:35 · Go to channel · Lambert W Function. Prime Newtons•666K views · 1:01 · Go to channel · Equation with rational ...
How to express tetration function, for complex numbers
How can we write ctet(in vec2 a, in vec2 b) tetration function, not only for floating point numbers, but for whole complex plane itself?
Tetration
In mathematics, tetration is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, though Knuth's up arrow notation and the left-exponent ˣb are common.
ELEMENTARY
In recursion theory, an elementary recursive function, also called an elementary function, or a Kalmár elementary function, is a restricted form of a primitive recursive function, allowing bounded applications of exponentiation.
Double exponential function
A double exponential function is a constant raised to the power of an exponential function. The general formula is, which grows much more quickly than an exponential function. For example, if a = b = 10: f(x) = 10¹⁰ˣ f = 10 f = 10¹⁰ f = 10¹⁰⁰ = googol f = 10¹⁰⁰⁰ f = 10¹⁰¹⁰⁰ = googolplex.
Hyperoperation
In mathematics, the hyperoperation sequence is an infinite sequence of arithmetic operations that starts with a unary operation. The sequence continues with the binary operations of addition, multiplication, and exponentiation. After that, the sequence proceeds with further binary operations extending beyond exponentiation, using right-associativity.
Iterated logarithm
In computer science, the iterated logarithm of, written log*, is the number of times the logarithm function must be iteratively applied before the result is less than or equal to. The simplest formal definition is the result of this recurrence relation:
Superfunction
In mathematics, superfunction is a nonstandard name for an iterated function for complexified continuous iteration index. Roughly, for some function f and for some variable x, the superfunction could be defined by the expression