Analysis and Algorithmic Generation of Hepatic Vascular Systems by Lars Ole Schwen, Tobias Preusser

“…We develop a quantification of similarity in terms of different geometric features. This involves topological Strahler ordering of the vascular trees, statistical testing, and averaging. …”
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Some Nonlinear Fractional PDEs Involving β-Derivative by Using Rational exp−Ωη-Expansion Method by Haifa Bin Jebreen

“…Different kinds of traveling wave solutions such as solitary, topological, dark soliton, periodic, kink, and rational are obtained as a by product of this scheme. …”
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On Costas Sets and Costas Clouds by Konstantinos Drakakis

“…We abstract the definition of the Costas property in the context of a group and study specifically dense Costas sets (named Costas clouds) in groups with the topological property that they are dense in themselves: as a result, we prove the existence of nowhere continuous dense bijections that satisfy the Costas property on ℚ2, ℝ2, and ℂ2, the latter two being based on nonlinear solutions of Cauchy's functional equation, as well as on ℚ, ℝ, and ℂ, which are, in effect, generalized Golomb rulers. …”
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Fully Connected Neural Networks Ensemble with Signal Strength Clustering for Indoor Localization in Wireless Sensor Networks by Marcin Bernas, Bartłomiej Płaczek

“…This approach significantly reduces the amount of memory required to store a received signal strength map. Various ANN topologies were considered in this study. Improvement of the localization accuracy as well as speedup of learning process was achieved by employing fully connected neural networks. …”
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R-matrices and Miura operators in 5d Chern-Simons theory by Nafiz Ishtiaque, Saebyeok Jeong, Yehao Zhou

“…We derive Miura operators for $W$- and $Y$-algebras from first principles as the expectation value of the intersection between a topological line defect and a holomorphic surface defect in 5-dimensional non-commutative $\mathfrak{gl}(1)$ Chern-Simons theory. …”
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Modulation recognition method based on multi-inputs convolution neural network by Xiong ZHA, Hua PENG, Xin QIN, Guang LI, Tianyun LI

“…In order to identify the main modulation modes adopted in current satellite communication systems,a signal modulation recognition algorithm based on multi-inputs convolution neural network was proposed.With the prior information of the signals and knowledge of the network topological structure,the time-domain signal waveforms were converted into eye diagrams and vector diagrams to represent the shallow features of the signals.Meanwhile,the modulation recognition model based on multi-inputs convolution neural network was designed.Through the training of the network,the shallow features were deeply extracted and mapped.Finally,the signal modulation recognition task was completed.The simulation results show that compared with the traditional algorithms and deep learning algorithms,the proposed method has a better anti-noise performance,and the overall recognition rate of this algorithm can reach 95% when the signal-to-noise ratio is 5 dB.…”
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δω-Continuity and some Results on δω-Closure Operator by Manjeet Singh, Asha Gupta, Kushal Singh

“…Al-Jarrah et al. defined a new topological operator, namely, δω-closure operator, and proved that it lies between the δ-closure operator and the usual closure operator. …”
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A Degree Theory for Compact Perturbations of Monotone Type Operators and Application to Nonlinear Parabolic Problem by Teffera M. Asfaw

“…., there exist σ≥0 and τ≥0 such that Cx≤τx+σ for all x∈D(C)). A new topological degree theory is developed for operators of the type T+S+C. …”
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Evidence of $\phi_0$-Josephson junction from skewed diffraction patterns in Sn-InSb nanowires by B. Zhang, Z. Li, V. Aguilar, P. Zhang, M. Pendharkar, C. Dempsey, J. S. Lee, S. D. Harrington, S. Tan, J. S. Meyer, M. Houzet, C. J. Palmstrom, S. M. Frolov

“…The system is of interest for Majorana studies: the effects are either precursor to or concomitant with topological superconductivity. Current-phase relations that lack inversion symmetry can also be used to design quantum circuits with engineered nonlinearity.…”
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Almost convex metrics and Peano compactifications by R. F. Dickman

“…We say the X is S-metrizable provided there is a topologically equivalent metric ρ on X such that (X,ρ) has Property S, i.e., for any ϵ>0, X is the union of finitely many connected sets of ρ-diameter less than ϵ. …”
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Extensions of best approximation and coincidence theorems by Sehie Park

“…Let X be a Hausdorff compact space, E a topological vector space on which E* separates points, F:X→2E an upper semicontinuous multifunction with compact acyclic values, and g:X→E a continuous function such that g(X) is convex and g−1(y) is acyclic for each y∈g(X). …”
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Lattices of fuzzy objects by Arturo A. L. Sangalli

“…Some familiar fuzzifications (fuzzy subgroups, fuzzy subalgebras, fuzzy topologies, etc.) are special cases of our construction. …”
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Regionalização dos Expressivos Não-Morfológicos dos Estados de Alagoas e Sergipe, Brasil by Ajibola Isau Badiru, Nubia Dias dos Santos

“…Based on the linearity, convergences and hierarchy of spatial spatial boundaries, the main vectors that actively participate in the regionalization of the topological expressives were identified, which consists of the spatial construction of non-morphological vectors. …”
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Three-Dimensional Pseudomanifolds on Eight Vertices by Basudeb Datta, Nandini Nilakantan

“…These 35 triangulate six distinct topological spaces. As a preliminary result, we show that any 8-vertex 3-pseudomanifold is equivalent by proper bistellar moves to an 8-vertex neighbourly 3-pseudomanifold. …”
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The “ $$B\rightarrow K\pi $$ B → K π puzzle”: a new perspective by Adam Szabelski

“…The amplitude decomposition by the topological diagrams and the SU(3) irreducible representation is used. …”
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Reliability evaluation of hierarchical hypercube network by Ximeng LIU, Yufang ZHANG, Shuming ZHOU, Xiaoyan LI

“…Aiming at the problem that the reliability research on hierarchical hypercube networks was not yet systematic, which severely restricted its application and popularization, the hierarchical hypercube network was taken as studying object, on the basis of obtaining the relevant topological properties of the hierarchical hypercube network, the h-extra conditional diagnosability and t/s-diagnosability of the n-dimension hierarchical hypercube (HHC_n) network under the PMC model and MM* model were obtained by theoretical deduction.In addition, the t/s-diagnosis algorithm of HHC_n under the PMC model and MM* model was designed and its time complexity was analyzed.The research results show that the h-extra conditional diagnosability of HHC_n is about h+1 times of its traditional diagnosability, and the t/s-diagnosability of HHC_n is about s+1 times of its traditional diagnosability.Those results improve the reliability index of the hierarchical hypercube network and provide an important theoretical basis for its application and popularization.…”
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Regularization of the Boundary-Saddle-Node Bifurcation by Xia Liu

“…The boundary-saddle-node (BSN) bifurcation occurs at a critical value when the saddle-node point is located on the discontinuity boundary. We derive a local topological normal form for the BSN bifurcation and study its local dynamics by applying the classical Filippov’s convex method and a novel regularization approach. …”
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A new view of spaces and their properties in the sense of non-Newtonian measure. by Amer Darweesh, Adel Almalki, Kamel Al-Khaled, Alaa Ayyash

“…Additionally, we establish key relationships between geometric and classical metric spaces, examining concepts such as openness, closedness, and separability within this geometric framework. By exploring topological characteristics and separability conditions in geometric metric spaces, this work enhances the understanding of metric spaces' structural properties, offering potential applications in fields that require flexible metric adaptations, such as data science, physics, and computational geometry. …”
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Some Applications of Supra Preopen Sets by M. E. El-Shafei, A. H. Zakari, T. M. Al-shami

“…The aim of this work is to define some concepts on supra topological spaces using supra preopen sets and investigate main properties. …”
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N-topo nilpotency in fuzzy neighborhood rings by T. M. G. Ahsanullah, Fawzi Al-Thukair

“…Here we show that a fuzzy neighborhood ring is locally inversely bounded if and only if for all 0<α<1, the α-level topological rings are locally inversely bounded. This leads us to prove a characterization theorem which says that if a fuzzy neighborhood ring on a division ring is Wuyts-Lowen WNT2 and locally inversely bounded, then the fuzzy neighborhood ring is a fuzzy neighborhood division ring. …”
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