Results 41 to 50 of about 104 (81)
The Fractal Boundary of the Power Tower Function
, 2019 Recreational Mathematics Colloqium V, Lisbon, Portugal, 28-31 January 2017We consider the function called the power tower function, defined by iterated exponentiation (or tetration) of the complex variable z. For real values x, it converges on
Lynch, Peter
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A Compact Notation for Peculiar Properties Characterizing Integer Tetration
This is Version 7 of the preprint. Compared to Version 1, it adds Appendix B, which generalizes the constant congruence speed to all squarefree numeral systems and provides compact formulas for all prime radices and for the senary case. Previous versions also incorporated several minor improvements in Section 2, including the radix-$r$ generalization ...
Ripà, Marco, Di Pietro, Gabriele
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Bootstrapping variables in algebraic circuits. [PDF]
Proc Natl Acad Sci U S A, 2019 Agrawal M, Ghosh S, Saxena N.
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TETRATIC PHASE IN THE PLANAR HARD SQUARE SYSTEM? [PDF]
Computational Methods in Science and Technology, 2004 K.W. WOJCIECHOWSKI, D. FRENKEL
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THE EFFECT OF ACETATE BUFFER MIXTURES, ACETIC ACID, AND SODIUM ACETATE, ON THE PROTOPLASM, AS INFLUENCING THE RATE OF PENETRATION OF CRESYL BLUE INTO THE VACUOLE OF NITELLA. [PDF]
J Gen Physiol, 1927 Irwin M.
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Tetration as Endogenous Recursion, Not Magnitude: Hyperoperations in Financial Markets
For a century, tetration has been understood as a way to produce very large numbers very fast. This paper demonstrates that tetration has a second identity: it is the recursive structure where the output of an exponential process modifies the operator of the next exponential process.
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Interpretation of the effects of rumen acidosis on the gut microbiota and serum metabolites in calves based on 16S rDNA sequencing and non-target metabolomics. [PDF]
Front Cell Infect MicrobiolWu F, Ji P, Yang H, Zhu X, Wu X.
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Tetration: Expanded and Continuous
This paper develops interpolations for continuous tetration beyond positive integer heights. Using algebraic manipulation, telescoping sums, and the standard recursive definition of tetration, the paper derives extensions for both positive and negative non-integer heights.
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