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Is this a new operation?

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#functions #hyperoperation
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what operation repeated $n$ times results in the addition operator?

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#arithmetic #hyperoperation
24
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Recursive function defining basic addition

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#abstract-algebra #functions #hyperoperation
298
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Does domination of exponential-factorial by tetration generalize to higher-order hyperoperations?

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#tetration #big-numbers #hyperoperation
349
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What is the derivative of a super square root?

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#calculus #derivatives #tetration #hyperoperation
9.4k
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How exactly does Knuth's Up-Arrow notation work?

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#notation #tetration #hyperoperation
277
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How to use $\uparrow$ to define an explicit bijective mapping $f:\varepsilon_{1}\rightarrow\mathbb{N}$?

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#elementary-set-theory #ordinals #tetration #hyperoperation
134
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Does the distributive property apply to all hyperoperations higher than multiplication?

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#algebra-precalculus #tetration #hyperoperation
125
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How can the domains of all variables of this hyperoperation function be extended to the entire complex plane?

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#soft-question #recreational-mathematics #analytic-continuation #tetration #hyperoperation
59
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Laws of Hyperoperations

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#hyperoperation
113
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Could we define complex hyper operators?

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#complex-numbers #tetration #hyperoperation
123
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Definition of tetration

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#definition #intuition #tetration #hyperoperation
41
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Final digit of $a[n]a$, where $[n]$ is the $n$-th hyperoperator and $a \in \mathbb{Z}^+$

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#sequences-and-series #elementary-number-theory #modular-arithmetic #recurrence-relations #hyperoperation
116
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Which hyperoperations produce a "prefix-complete" sequence?

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#sequences-and-series #elementary-number-theory #tetration #combinatorics-on-words #hyperoperation
91
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Easy proof that $n=5$ is the only solution of $n^n \equiv n^{n^n} \pmod {10^{n-1}}$ if $n \in \mathbb{N}-\{0,1\}$ is not a multiple of $10$

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#discrete-mathematics #modular-arithmetic #exponentiation #power-towers #hyperoperation

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