Results 11 to 20 of about 105,688 (202)
The Derivative of Minkowski's ?(x) Function
Journal of Mathematical Analysis and Applications, 2001 The Minkowski function \(?(x): [0,1]\to [0,1]\) is strictly increasing, continuous, and maps the rational numbers onto the dyadic rationals. \textit{R. Salem} has proved in 1943 [Trans. Am. Math. Soc. 53, 427--439 (1943; Zbl 0060.13709)] that if \(x\in[0,1]\) has a continued fraction expansion with unbounded partial quotients and if \(?'(x)\) exists ...
Paradı́s, J., Viader, P., Bibiloni, L.
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Intent Arabic text categorisation based on different machine learning and term frequency
IET Networks, EarlyView., 2022 Abstract The complexity of Internet network configurations has made managing networks a complicated undertaking. Intent‐Based Networking (IBN) is a potential solution to this issue. In contrast to conventional networks, where a concrete description of the settings typically conveys a network administrator's goal kept on each device, an administrator's ...
Mohammad Fadhil Mahdi +1 more
wiley +1 more source
Topological correlation functions in Minkowski spacetime [PDF]
Nuclear Physics B, 1995 We consider a class of non-unitary Toda theories based on the Lie superalgebras $A^{(1)}(n,n)$ in two-dimensional Minkowski spacetime, which can be twisted into a topological sector. In particular we study the simplest example with $n=1$ and real fields, and show how this theory can be treated as an integrable perturbation of the $A(1,0 ...
Penati, S., Zanon, D.
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Some Remarks on Harmonic Functions in Minkowski Spaces
Mathematics, 2019 We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.
Songting Yin
doaj +1 more source
Minkowski functionals of Abell/ACO clusters [PDF]
Monthly Notices of the Royal Astronomical Society, 1997 We determine the Minkowski functionals for a sample of Abell/ACO clusters, 401 with measured and 16 with estimated redshifts. The four Minkowski functionals (including the void probability function and the mean genus) deliver a global description of the spatial distribution of clusters on scales from $10$ to $60\hMpc$ with a clear geometric ...
Kerscher M. +8 more
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Minkowski measurability results for self-similar tilings and fractals with monophase generators [PDF]
, 2012 In a previous paper [arXiv:1006.3807], the authors obtained tube formulas for certain fractals under rather general conditions. Based on these formulas, we give here a characterization of Minkowski measurability of a certain class of self-similar tilings
Lapidus, Michel L. +2 more
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A New Light on Minkowski's ?(x) Function [PDF]
Journal of Number Theory, 1998 The function \(?(x)\) was introduced by H. Minkowski via Farey fractions. Later R. Salem proved, that if \(x=[0;a_1,a_2,\dots]\) is the expansion of \(x\) as a regular continued fraction, then \[ ?(x)= 2^{1-a_1}- 2^{1-a_1-a_2}+ 2^{1-a_1- a_2-a_3} -\dots.
Pelegrí Viader +2 more
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Multidimensional continued fractions and a Minkowski function [PDF]
, 2007 The Minkowski Question Mark function can be characterized as the unique homeomorphism of the real unit interval that conjugates the Farey map with the tent map. We construct an n-dimensional analogue of the Minkowski function as the only homeomorphism of
Panti, Giovanni
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QuantImPy: Minkowski functionals and functions with Python
SoftwareX, 2021 The Minkowski functionals and functions are a family of morphological measures and can be used to describe both the morphology (shape) and topology (connectedness) of a system. This paper presents the QuantImPy Python package which can compute both the Minkowski functionals and functions.
Arnout M.P. Boelens, Hamdi A. Tchelepi
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Spacelike convex surfaces with prescribed curvature in (2+1)-Minkowski space [PDF]
, 2016 We prove existence and uniqueness of solutions to the Minkowski problem in any domain of dependence $D$ in $(2+1)$-dimensional Minkowski space, provided $D$ is contained in the future cone over a point.
Bonsante, Francesco, Seppi, Andrea
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