Results 1 to 10 of about 81 (67)

Idiopathic granulomatous mastitis: A case report and literature review. [PDF]

Clin Case Rep, 2023
Key Clinical Message Idiopathic granulomatous mastitis (IGM) is a challenging chronic inflammatory disease in diagnosis with unknown etiology. Although the most appropriate treatment protocol has not yet been identified, prednisolone was used in our patient as an effective and practical choice in the treatment of IGM.
Shabani S, Sadeghi B, Zarinfar N, Sarmadian R.   +3 more
europepmc   +2 more sources

On the constant congruence speed of tetration [PDF]

Notes on Number Theory and Discrete Mathematics, 2020
For every non-negative integer $a$ and positive integer $b$, the congruence speed of the tetration $^{b}a$ is the difference between the number of the rightmost digits of $^{b}a$ that are the same as those of $^{b+1}a$ and the number of the rightmost digits of $^{b-1}a$ that are the same as those of $^{b}a$.
exaly   +5 more sources

Quantum Cosmological Tetration of Time

Journal of High Energy Physics Gravitation and Cosmology, 2020
In an original quantum cosmology model, the scale factor evolution describing Hubble expansion is solely determined by the third tetration of time. The model exhibits early accelerating expansion, mid-time decelerating expansion, and late accelerating expansion.
Angus Mccoss
exaly   +3 more sources

Number of stable digits of any integer tetration

Notes on Number Theory and Discrete Mathematics, 2022
In the present paper we provide a formula that allows to compute the number of stable digits of any integer tetration base a \in {\mathbb N}_0. The number of stable digits, at the given height of the power tower, indicates how many of the last digits of the (generic) tetration are frozen.
Ripà, Marco, Onnis, Luca
exaly   +4 more sources

On the relation between perfect powers and tetration frozen digits

Journal of AppliedMath
This paper provides a link between integer exponentiation and integer tetration since it is devoted to introducing some peculiar sets of perfect powers characterized by any given value of their constant congruence speed, revealing a fascinating relation between the degree of every perfect power belonging to any congruence class modulo 20 and the number
exaly   +4 more sources

A Reduction of Integer Factorization to Modular Tetration [PDF]

International Journal of Foundations of Computer Science, 2020
Let [Formula: see text]. By [Formula: see text] and [Formula: see text], we denote the [Formula: see text] th iterate of the exponential function [Formula: see text] evaluated at [Formula: see text], also known as tetration. We demonstrate how an algorithm for evaluating tetration modulo natural numbers [Formula: see text] could be used to compute the
openaire   +3 more sources

Forming a Cube from a Sphere with Tetratic Order [PDF]

Physical Review Letters, 2015
Composed of square particles, the tetratic phase is characterised by a four-fold symmetry with quasi-long-range orientational order but no translational order. We construct the elastic free energy for tetratics and find a closed form solution for 1/4-disclinations in planar geometry.
Manyuhina, O. V., Bowick, M. J.
openaire   +3 more sources

Enhanced stability of the tetratic phase due to clustering [PDF]

Physical Review E, 2009
9 pages, 9 ...
Martínez-Ratón, Yuri, Velasco, Enrique
openaire   +4 more sources

Graham's number stable digits: An exact solution [PDF]

Notes on Number Theory and Discrete Mathematics
In the decimal numeral system, we prove that the well-known Graham's number, G:=ⁿ3 (i.e., 3^{3^{...^{3}}} (n times)), and any base 3 tetration whose hyperexponent is larger than n share the same slog₃(G)-1 rightmost digits (where slog indicates the ...
Marco Ripà
doaj   +1 more source

Compaction of Church Numerals

Algorithms, 2019
In this study, we address the problem of compaction of Church numerals. Church numerals are unary representations of natural numbers on the scheme of lambda terms.
Isamu Furuya, Takuya Kida
doaj   +1 more source