On the Menger and almost Menger properties in locales [PDF]
The Menger and the almost Menger properties are extended to locales. Regarding the former, the extension is conservative (meaning that a space is Menger if and only if it is Menger as a locale), and the latter is conservative for sober TD-spaces.
Tilahun Bayih +2 more
doaj +2 more sources
The Hausdorff–Pompeiu Distance in Gn-Menger Fractal Spaces
This paper introduces a complete Gn-Menger space and defines the Hausdorff–Pompeiu distance in the space. Furthermore, we show a novel fixed-point theorem for Gn-Menger-θ-contractions in fractal spaces.
Donal O’Regan +3 more
doaj +2 more sources
Quantitative Confounder Analysis of Electrocardiogram Signals in Cardiac Magnetic Resonance at 1.5, 3 and 7 T-Assessing Standardized Electrode Positions and Sequence Types-Towards Quality Assurance. [PDF]
ABSTRACT Background The electrocardiogram (ECG) used for gating in cardiac MRI may be compromised by multiple confounders inside the scanner bore. Purpose To quantify the influence of magnetic field strengths (1.5 T/3 T/7 T), standardized electrode positions, and imaging sequences on ECG signals used for gating. Study Type Prospective.
Hickstein R +10 more
europepmc +2 more sources
Comparing Two Novel LiDAR-Based Indices for Quantifying Forest Structural Complexity. [PDF]
This study compares two LiDAR‐derived forest structural complexity indices: the fractal‐based box dimension (Db$$ {D}_b $$) and the entropy‐based canopy entropy (CE$$ CE $$). Analysis of 170 plots revealed a strong linear correlation (r = 0.823) between Db$$ {D}_b $$ and CE$$ CE $$, but computation was much slower.
Reuter T, Seidel S, Seidel D.
europepmc +2 more sources
CMR-derived left ventricular pressure-volume loops enhance individualized assessment of disease severity and prognosis in pulmonary arterial hypertension in adults. [PDF]
Abstract In pulmonary arterial hypertension (PAH), increased pulmonary vascular resistance (PVR) causes right ventricular pressure overload and left ventricular (LV) underfilling. We investigated LV mechanics and their prognostic value in PAH using cardiovascular magnetic resonance (CMR)‐derived LV pressure‐volume (PV) loops.
Castiglione A +5 more
europepmc +2 more sources
Some properties defined by relative versions of star-covering properties II
In this paper we consider some recent relative versions of Menger property called set strongly star Menger and set star Menger properties and the corresponding Hurewicz-type properties. In particular, using [2], we "easily" prove that the set strong star
Maddalena Bonanzinga +2 more
doaj +1 more source
Weakly strongly star-Menger spaces
A space $X$ is called weakly strongly star-Menger space if for each sequence ($\mathcal{U}_{n} : n \in \omega$) of open covers of $X,$ there is a sequence $(F_n : n\in\omega)$ of finite subsets of $X$ such that $\overline{\bigcup_{n\in\omega} St(F_n ...
Gaurav Kumar, Brij K. Tyagi
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A Meir-Keeler type fixed point theorem for a family of mappings is proved in Menger probabilistic metric space (Menger PM-space). We establish that completeness of the space is equivalent to fixed point property for a larger class of mappings that ...
Ravindra K. Bisht, Vladimir Rakocević
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Selectively strongly star-Menger spaces and related properties
A space X is selectively strongly star-Menger (briefly, selSSM) if for each sequence ... In this paper, we study some properties of selectively strongly star-Menger spaces, the relation with related properties and give some example distinguishing the ...
Maddalena Bonanzinga, Fortunato Maesano
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Fixed point theorem by using ψ–contraction and (ϕ,φ)–contraction in probabilistic 2–metric spaces
This research paper investigates and proves some theorems of the fixed point for self–mapping [T:X→X] under (ϕ,ψ)–contractive mappings and (ϕ,φ)–contractive mappings in Menger probabilistic 2–metric space.
H.M. Abu-Donia +2 more
doaj +1 more source

