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Can we evaluate noninteger hyperoparations?

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#analytic-continuation #hyperoperation
623
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Tetration by a Non-Integer

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#soft-question #tetration #hyperoperation
294
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Under what "natural" combinatorial conditions would tetration or higher hyperoperations appear?

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#combinatorics #soft-question #ramsey-theory #tetration #hyperoperation
103
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What is the name for this: "x^^y" (as in 2^^2=2^2 and 3^^3=3^3^3 and so on)

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#notation #terminology #tetration #hyperoperation
683
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Why do we have the present order of operations, and how do hyperoperations fit in?

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#math-history #hyperoperation
132
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Extending Knuth up-arrow/hyperoperations to non-positive values

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#hyperoperation #ackermann-function
196
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Are there integer solutions to the equation ${^n}a+{^n}b={^n}c$?

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#number-theory #tetration #hyperoperation
401
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A new notation for operations and some questions

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#notation #hyperoperation
433
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How to compute the indefinite integrate of n-th tetration of x?

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#calculus #integration #tetration #hyperoperation
465
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What Tetration Algorithm can I utilize

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#complex-analysis #algorithms #fractals #tetration #hyperoperation
134
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Domain for Knuth's up-arrow

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#number-theory #computability #hyperoperation
521
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Limit of a hyperpower function

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#calculus #special-functions #hyperoperation
99
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Is there any concept similar to unique factorization that applies to exponential operators?

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#algebraic-number-theory #prime-factorization #hyperoperation
591
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Transfinite Knuth-arrow hierarchy vs. fast-growing hierarchy

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#number-theory #big-numbers #hyperoperation
511
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Superassociative operation

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#group-theory #hyperoperation #associativity

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