Results 21 to 30 of about 5,737,630 (301)

Slices of the Takagi function

open access: yesErgodic Theory and Dynamical Systems, 2023
AbstractWe show that the Hausdorff dimension of any slice of the graph of the Takagi function is bounded above by the Assouad dimension of the graph minus one, and that the bound is sharp. The result is deduced from a statement on more general self-affine sets, which is of independent interest.
ROOPE ANTTILA   +2 more
openaire   +3 more sources

A New Approach to Slice Analysis Via Slice Topology [PDF]

open access: yes, 2021
In this paper we summarize some known facts on slice topology in the quaternionic case, and we deepen some of them by proving new results and discussing some examples. We then show, following Dou et al.
Sabadini I., Jin M., Ren G., Dou X.
core   +1 more source

Influence of Thin Slice Reconstruction on CT Brain Perfusion Analysis. [PDF]

open access: yesPLoS ONE, 2015
Although CT scanners generally allow dynamic acquisition of thin slices (1 mm), thick slice (≥5 mm) reconstruction is commonly used for stroke imaging to reduce data, processing time, and noise level.
Edwin Bennink   +6 more
doaj   +1 more source

Boundedness of the L-index in a direction of the sum and product of slice holomorphic functions in the unit ball

open access: yesМатематичні Студії, 2022
Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
V.P. Baksa, A. I. Bandura, T.M. Salo
doaj   +1 more source

Interpolated compressed sensing for 2D multiple slice fast MR imaging. [PDF]

open access: yesPLoS ONE, 2013
Sparse MRI has been introduced to reduce the acquisition time and raw data size by undersampling the k-space data. However, the image quality, particularly the contrast to noise ratio (CNR), decreases with the undersampling rate.
Yong Pang, Xiaoliang Zhang
doaj   +1 more source

Slice holomorphic solutions of some directional differential equations with bounded L-index in the same direction

open access: yesDemonstratio Mathematica, 2019
In the paper we investigate slice holomorphic functions F : ℂn → ℂ having bounded L-index in a direction, i.e. these functions are entire on every slice {z0 + tb : t ∈ℂ} for an arbitrary z0 ∈ℂn and for the fixed direction b ∈ℂn \ {0}, and (∃m0 ∈ ℤ+) (∀m ∈
Bandura Andriy   +2 more
doaj   +1 more source

Expanded Combinatorial Designs as Tool to Model Network Slicing in 5G

open access: yesIEEE Access, 2019
The network slice management function (NSMF) in 5G has a task to configure the network slice instances and to combine network slice subnet instances from the new-generation radio access network and the core network into an end-to-end network slice ...
Danilo Gligoroski, Katina Kralevska
doaj   +1 more source

Transcendental operators acting on slice regular functions

open access: yesConcrete Operators, 2022
The aim of this paper is to carry out an analysis of five trascendental operators acting on the space of slice regular functions, namely *-exponential, *-sine and *-cosine and their hyperbolic analogues. The first three of them were introduced by Colombo,
de Fabritiis Chiara
doaj   +1 more source

Characterizing brain metabolic function ex vivo with acute mouse slice punches

open access: yesSTAR Protocols, 2021
Summary: Mitochondrial dysfunction and metabolic reprogramming are implicated in a variety of neurological disorders. Here, we present a protocol that enables complex profiling of brain metabolic function using acute mouse brain slices ex vivo. Utilizing
Guoyuan Qi, Yashi Mi, Fei Yin
doaj   +1 more source

Slice monogenic functions [PDF]

open access: yesIsrael Journal of Mathematics, 2009
In this paper we offer a definition of monogenicity for functions defined on $\rr^{n+1}$ with values in the Clifford algebra $\rr_n$ following an idea inspired by the recent papers \cite{gs}, \cite{advances}. This new class of monogenic functions contains the polynomials (and, more in general, power series) with coefficients in the Clifford algebra ...
COLOMBO, FABRIZIO   +2 more
openaire   +4 more sources

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