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Daniele Funaro
We consider the problem of determining the dynamics of the electromagnetic field generated outside a ball whose charge changes depending on time. We are in conditions of perfect symmetry and the electric field is considered to be radial. This is not a si...
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Victor Emmanuel Pierre Lopez and Lawrence Dale Thomas
A complexity metric is proposed for the quantification of system complexity using information about the composition of a system and its interactions depicted in a System Modelling Language (SysML) model. The proposed metric is adapted from the complexity...
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Ondrej Rozinek and Jan Mare?
We introduce a new mathematical basis for similarity space. For the first time, we describe the relationship between distance and similarity from set theory. Then, we derive generally valid relations for the conversion between similarity and a metric and...
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Marcos M. Salvatierra, Mario Salvatierra, Jr. and Juan G. Colonna
In general, the unit-demand envy-free pricing problem has proven to be APX-hard, but some special cases can be optimally solved in polynomial time. When substitution costs that form a metric space are included, the problem can be solved in O(n4)" role="p...
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Roberto Peron and Enrico C. Lorenzini
A dedicated mission in low Earth orbit is proposed to test predictions of gravitational interaction theories and to directly measure the atmospheric density in a relevant altitude range, as well as to provide a metrological platform able to tie different...
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Roberto Peron and Enrico C. Lorenzini
A dedicated mission in low Earth orbit is proposed to test predictions of gravitational interaction theories and to directly measure the atmospheric density in a relevant altitude range, as well as to provide a metrological platform able to tie different...
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Suman Saha and Satya P. Ghrera
The objective of this article is to bridge the gap between two important research directions: (1) nearest neighbor search, which is a fundamental computational tool for large data analysis; and (2) complex network analysis, which deals with large real gr...
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Suman Saha and Satya P. Ghrera
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Nikolaj Mormul`,Alexander Shchitov
Pág. 14 - 20
The Faber-Schauder system of functions was introduced in 1910 and became the first example of a basis in the space of continuous on [0, 1] functions. A number of results are known about the properties of the Faber-Schauder system, including est...
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Zixin Feng, Teligeng Yun, Yu Zhou, Ruirui Zheng and Jianjun He
Geometric mean metric learning (GMML) algorithm is a novel metric learning approach proposed recently. It has many advantages such as unconstrained convex objective function, closed form solution, faster computational speed, and interpretability over oth...
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Xinsheng Li and Xuedong Yuan
To reconstruct point geometry from multiple images, computation of the fundamental matrix is always necessary. With a new optimization criterion, i.e., the re-projective 3D metric geometric distance rather than projective space under RANSAC (Random Sampl...
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Oliver Olela Otafudu and Oscar Valero
Information orders play a central role in the mathematical foundations of Computer Science. Concretely, they are a suitable tool to describe processes in which the information increases successively in each step of the computation. In order to provide nu...
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Nicholas J. Cavanna and Donald R. Sheehy
We generalize the local-feature size definition of adaptive sampling used in surface reconstruction to relate it to an alternative metric on Euclidean space. In the new metric, adaptive samples become uniform samples, making it simpler both to give adapt...
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Anna Baranska, Joanna Bac-Bronowicz, Dorota Dejniak, Stanislaw Lewinski, Artur Krawczyk and Tadeusz Chrobak
The development of generalisation (simplification) methods for the geometry of features in digital cartography in most cases involves the improvement of existing algorithms without their validation with respect to the similarity of feature geometry befor...
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Costas Panagiotakis
In this paper, we present a general version of polygonal fitting problem called Unconstrained Polygonal Fitting (UPF). Our goal is to represent a given 2D shape S with an N-vertex polygonal curve P with a known number of vertices, so that the Intersectio...
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Rianna Burnham and David Duffus
Organisms use multi-modal, scale-dependent, sensory information to decipher their surroundings. This can include, for example, recognizing the presence of con- or heterospecifics, including a predatory threat, the presence and abundance of prey, or navig...
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Nataliia Melnykova, Nataliya Shakhovska, Volodymyr Melnykov, Kateryna Melnykova and Khrystyna Lishchuk-Yakymovych
The paper describes the medical data personalization problem by determining the individual characteristics needed to predict the number of days a patient spends in a hospital. The mathematical problem of patient information analysis is formalized, which ...
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Liangliang Cheng, Vahid Yaghoubi, Wim Van Paepegem and Mathias Kersemans
Mahalanobis distance (MD) is a well-known metric in multivariate analysis to separate groups or populations. In the context of the Mahalanobis-Taguchi system (MTS), a set of normal observations are used to obtain their MD values and construct a reference...
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Oleg A. Logachev,Sergey N. Fedorov,Valeriy V. Yashchenko
Pág. 10 - 14
Fixing some ordering on the domain of real-valued functions of n Boolean variables (i. e. pseudo-Boolean functions) we can identify these functions (or rather tables of their values) with vectors in the Euclidean space R 2 n of dimension 2 n . From a per...
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Carlos Miguel Legón-Pérez, Jorge Ariel Menéndez-Verdecía, Ismel Martínez-Díaz, Guillermo Sosa-Gómez, Omar Rojas and Germania del Roció Veloz-Remache
During the search for S-boxes resistant to Power Attacks, the S-box space has recently been divided into Hamming Weight classes, according to its theoretical resistance to these attacks using the metric variance of the confusion coefficient. This partiti...
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