Continuous location privacy protection mechanism based on differential privacy by Hongtao LI, Xiaoyu REN, Jie WANG, Jianfeng MA

“…Aiming at the problem of users’ location privacy leakage caused by continuously using LBS, a road privacy level (RPL) algorithm was proposed based on road topological network, which divided the privacy level of the road sections around the sensitive locations.Then, a differential privacy location protection mechanism (DPLPM) was proposed.Privacy budget was allocated for sensitive road sections and Laplace noise was added to realize the privacy protection of location data.The experimental results show that the mechanism has high data availability while protecting the privacy of location information.…”
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Neighborhood spaces by D. C. Kent, Won Keun Min

“…Neighborhood spaces, pretopological spaces, and closure spaces are topological space generalizations which can be characterized by means of their associated interior (or closure) operators. …”
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A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space by Awad A. Bakery, M. H. El Dewaik

“…By Hwpn, we represent the space of all formal power series ∑n=0∞anzn equipped with ∑n=0∞λan/n+1pn<∞, for some λ>0. Various topological and geometric behavior of Hwpn and the prequasi ideal constructs by s-numbers and Hwpn have been considered. …”
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BPS States, Crystals, and Matrices by Piotr Sułkowski

“…Appropriate limit of these constructions provides, among the others, matrix model representation of refined and unrefined topological string amplitudes.…”
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Sagnac Interferometer Based Generation of Controllable Cylindrical Vector Beams by Cristian Acevedo, Angela Guzmán, Yezid Torres Moreno, Aristide Dogariu

“…Forked computer-generated holograms allow introducing different topological charges while orthogonally polarized beams within the interferometer permit encoding the spatial distribution of polarization. …”
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On Ve-Degree-Based Irregularity Properties of the Crystallographic Structure of Molecules by Akbar Jahanbani, Rana Khoeilar, Hajar Shooshtari

“…Irregularity indices are usually used for quantitative characterization of the topological structure of nonregular graphs. In numerous applications and problems in material engineering and chemistry, it is useful to be aware that how irregular a molecular structure is? …”
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Multiplicity results for asymmetric boundary value problems with indefinite weights by Francesca Dalbono

“…The proof is developed in the framework of topological methods and is based on some relations between rotation numbers and weighted eigenvalues.…”
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Cluster Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control by Jianwen Feng, Jingyi Wang, Chen Xu, Francis Austin

“…In addition, the critical combination of the control strength, the number of pinned nodes and coupling strength in each cluster are given by detailed analysis cluster synchronization of a special topological structure complex network. Our theoretical results are illustrated by numerical simulations.…”
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On Some New Classes of $\mathcal{I}-$Convergent Sequences in GNLS by Vakeel Khan, Zahid Rahman, Ayhan Esi, Amit Kumar

“…We discussed some algebraic and topological properties of these classes. Also, we studied some inclusions involving these spaces.…”
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Non-Archimedean valued quasi-invariant descending at infinity measures by S. V. Lüdkovsky

“…Measures with values in non-Archimedean fields, which are quasi-invariant and descending at infinity on topological vector spaces over non-Archimedean fields, are studied in this paper. …”
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Visualization of four-dimensional X-ray absorption fine structure data using a virtual reality system by Haruo Igarashi, Daiki Kido, Yutaka Ishii, Yasuhiro Niwa, Atsushi Okamoto, Masao Kimura

“…Our 4D-XASView facilitates the visualization and analysis of the geometric and topological aspects of the data using VR goggles, enabling detailed exploration of microstructures via rotation and zooming functionalities. …”
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Multiplicity Results to a Conformable Fractional Differential Equations Involving Integral Boundary Condition by Shuman Meng, Yujun Cui

“…In this article, by using topological degree theory couple with the method of lower and upper solutions, we study the existence of at least three solutions to Riemann-Stieltjes integral initial value problem of the type Dαx(t)=f(t,x),  t∈[0,1], x(0)=∫01x(t)dA(t), where Dαx(t) is the standard conformable fractional derivative of order α, 0<α≤1, and f∈C([0,1]×R,R). …”
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Stability of the Cauchy Additive Functional Equation on Tangle Space and Applications by Soo Hwan Kim

“…We introduce real tangle and its operations, as a generalization of rational tangle and its operations, to enumerating tangles by using the calculus of continued fraction and moreover we study the analytical structure of tangles, knots, and links by using new operations between real tangles which need not have the topological structure. As applications of the analytical structure, we prove the generalized Hyers-Ulam stability of the Cauchy additive functional equation fx⊕y=fx⊕fy in tangle space which is a set of real tangles with analytic structure and describe the DNA recombination as the action of some enzymes on tangle space.…”
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Mehrfache syntaktisch gleiche Nachfeldbesetzung und ihre Funktionen – Ergebnisse einer diachronen Analyse religiöser Texte by Ireneusz Gaworski

“…The aim was to examine (i) how this topological structure was manifested, (ii) which parts of the sentence occurred in it, (iii) how its development proceeded in the surveyed period (quantitative aspect), and (iv) what its purpose was.…”
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Free torus actions and twisted suspensions by Fernando Galaz-García, Philipp Reiser

“…We then apply this result to provide sufficient conditions for the existence of free circle and torus actions on connected sums of products of spheres and obtain a topological classification of closed, simply connected manifolds with a free cohomogeneity-four torus action. …”
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Research progress of dynamic community evolution by Jianfei PAN, Lili XU, Yihong DONG

“…Community structure is one of the topological characteristics of social network.It is an important research topic in social network research to explore the structure of community,detect and predict the change of community structure.The evolution of dynamic community was discussed from time slicing processing and dynamic increment strategies.The time slice processing strategy introduced the comparative evolution of the time slice,the clustering evolution of the time slice,and the fusion evolution of the time slice.The dynamic increment strategy described the dynamic evolution of the core community,the dynamic evolution of the cluster and the dynamic evolution of the index.Finally,the framework of community evolution prediction was summarized.…”
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A Numerical Study on the Regularity of d-Primes via Informational Entropy and Visibility Algorithms by B. L. Mayer, L. H. A. Monteiro

“…Conjectures on how some topological features of these graphs depend on d are proposed.…”
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On the fractality of the biological tree-like structures by Jaan Kalda

“…The fractal tree-like structures can be divided into three classes, according to the value of the similarity dimension Ds:Ds<D,Ds=D and Ds>D, where D is the topological dimension of the embedding space. It is argued that most of the physiological tree-like structures have Ds≥D. …”
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On Open-Open Games of Uncountable Length by Andrzej Kucharski

“…We also introduce the class 𝒞𝜅 of topological spaces that can be represented as the inverse limit of 𝜅-complete system {𝑋𝜎,𝜋𝜎𝜌,Σ} with 𝑤(𝑋𝜎)≤𝜅 and skeletal bonding maps. …”
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Some Applications of (𝐶0,1)-Semigroups by Yu-Hsien Chang, Cheng-hong Hong

“…Instead of solving this problem directly, we proved some results concerning the existence and uniqueness for abstract semilinear initial value problem by means of (𝐶0,1)-semigroup theories on locally convex topological space. The most enjoyable here is that these results not only can be applied to solve the interphase heat-transfer for the fast-igniting catalytic converter of automobile under the situation of preheating at the entry edge of converter, but also can be applied to some other practical problems.…”
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