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Necessary conditions for being expressible using hyper-operators

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#real-analysis #hyperoperation
424
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If Graham's number used $4$s instead of $3$s, at which $G$ would that number be bigger than Graham's number?

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#big-numbers #hyperoperation
2.3k
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Why do we stop at exponentiation stage in arithmetic of natural numbers?

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#reference-request #arithmetic #philosophy #hyperoperation
1.1k
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What combinatorial quantity the tetration of two natural numbers represents?

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#combinatorics #arithmetic #exponential-function #tetration #hyperoperation
474
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How to define $A\uparrow B$ with a universal property as well as $A\oplus B$, $A\times B$, $A^B$ in category theory?

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#category-theory #set-theory #tetration #hyperoperation
216
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Comparing up-arrow's

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#number-theory #big-numbers #hyperoperation
32
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Why order matters in hyperoperations after exponentiation?

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#exponentiation #hyperoperation
203
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Simplifying a 'fractal-like' expression with tetration

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#closed-form #tetration #big-numbers #power-towers #hyperoperation
61
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Does $2^{k!}$ have any significance w.r.t. primality or Wilson's Theorem?

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#factorial #hyperoperation
223
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A pre-successor hyperoperation: subplus

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#logarithms #conjectures #hyperoperation
60
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Tetrating by non-integers?

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#discrete-mathematics #recreational-mathematics #tetration #hyperoperation
222
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Is 2(6)3 (2↑↑↑↑3) equal to 2^65536? And if yes, is 2(n)3 equal to 2 to the power of how many time 2 is repeated in the power tower?

Published on
#big-numbers #power-towers #hyperoperation
57
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Non integer Hyper-powers.

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#tetration #power-towers #hyperoperation
110
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Fractional and complex rank hyperoperations

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#complex-analysis #arithmetic #hyperoperation
383
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Why tetration and more are not common in nature?

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#arithmetic-functions #tetration #hyperoperation

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