Is there an easy way to calculate 0.5 tetrated to infinity? Can I use ...

Infinite tetration of a real number [math]x[/math] converges iff [math]x[/math] is between [math]e^{-e}\approx 0.066[/math] and ...

Tetration Concepts : r/askmath - Reddit

What if x is to the tetration of a fraction what would that do ... the extension one chooses to use, and there have been various methods proposed.

Infinite tetration of rad2 = 2 [tetration] - YouTube

In this video, I showed that the infinite super power of rad 2 equals 2.

How to solve 2 tetrated 0.5 times? [duplicate] - Math Stack Exchange

The "quadratic" approximation is used to get 1.45933. The article says that the quadratic approximation does not hold the property that it " ...

Tetration - Wikipedia

In mathematics, tetration (or hyper-4) is an operation based on iterated, or repeated, exponentiation. There is no standard notation for tetration, ...

Infinite tetration and superroot of infinitesimal

So there migth be potential for insights if non-standard is used instead of limit based math in tetration. Question is: If we can not find h(0) as its value ...

Convergent Infinite tetration - YouTube

In this video, I showed how and when to compute th efinite value of an infinite tetration.

Searching for an asymptotic to exp[0.5] - Tetration Forum

This problem will probably keep me occupied for a long time. I need to work on tools for figuring out the growth from the Taylor series, where growth is the ...

Tetration - Citizendium

derivative of the function. The coefficients of the expansion can be calculated using the straightforward differentiation of the representation through the ...

Solving Infinite Power Tower: is this equation correct? - YouTube

In this video, the solution and convergence of an infinite iterative exponentiation aka infinite power tower are examined using two methods.

Solve 7^x=0.5 - Microsoft Math Solver

On the other hand, base 10 logarithms are easy to use for manual calculations ... A closely related method can be used to compute the logarithm of integers.

Hyper4 Iterated Exponential Function at MROB - Robert Munafo

a④b can be generalized easily to real and even complex arguments through the ... For example, I will use HyperCalc to compute 27 to the power of ...

Extending tetration to the reals: linear approximation on an interval

By the way, there were several spots in my first post where I used x ... precision in my calculations, but if you do, then by all means, use m=4. To ...

Solving F(z + 1) = bF(z) in the complex plane

However, this precision could only be obtained by using over. 2000 nodes for a Gaussian quadrature, which slowed down the computation time. In this paper, we ...

Tetration fractal - Paul Bourke

... compute the complex power of a complex number. In the discussion here we will use the principle branch of natural logarithm of a complex number, that is, where ...

From 1000000 to Graham's Number - Wait But Why

There's no possible way to wrap your head around that number—the best we can do is try to understand how long it would take to write the number.

(PDF) Tetration for complex bases - ResearchGate

method by using the dagger track method for the lower half-plane, as in ﬁgure 8. However, we can view equation 3 as an asymptotic series, which ...

Solving for the Analytic Piecewise Extension of Tetration and the ...

only can we define tetration as its inverse, but we can also use it to continuously iterate ... Is there a way to find an extension that satisfies both properties ...

0315-098

Another aspect of the issue being explored is whether the following arithmetic operations can be defined on non-integral real numbers: two types of tetration. ( ...

Computation of the two regular super-exponentials to base exp(1/e)

Hence, the series diverges. D. Nonetheless, we can use the formula (18) in a different way to calculate the regular Abel function of h(x)=ex ...