Topology

This work is concerned with a new class of functions called almost e-continuous functions containing the class of almost e-continuous functions. This notion is stronger than almost δβ-continuous functions and is weaker than both almost e-continuous functions and e-continuous functions. Relationships between this new class and other classes of functions are investigated and some characterizations of this new class of functions are studied.

Zkušenost těhotenství, během které uvnitř jednoho lidského těla žije jiné lidské tělo, může představovat nevšední zdroj, jenž nechává jasněji vyvstávat některé aspekty lidské subjektivity a tělesnosti. Článek vychází z fenomenologické analýzy této žité zkušenosti a skrze komparativní analýzu dvou filosofických popisů těhotenství (N. Depraz a I. Young) dochází k alternativnímu uchopení duality, která tuto zkušenost charakterizuje. Namísto duality já a jiný ve mně, identity a vnitřní alterity, nabízí topologickou dualitu ekscesivní blízkosti a odstupu od vlastního výkladu skutečnosti. Opírá se přitom o výklad přátelství u G. Agambena, blaho-bytí u G.Bachelarda a světa mimo svět J. Derridy. Tímto způsobem se nekonstituuje jakási silnější ženská subjektivita, ale jednání na základě taktu vůči skrytosti skutečnosti. V návaznosti na otázky J. Butler se článek ve své poslední části zabývá možnostmi etiky sobě neprůhledného subjektu vyplývající z právě analyzované zkušenosti.

... A simple way to increase the output voltage of SE sources is to connect a number ... to a fixed voltage magnitude and fixed frequency for both stand-alone and grid-tie applications ... The proposed control method, which is utilized for the CSI-based boost-inverter topology, has been ...

The crisis of democracy – Third Part
(Is it possible to innovate in the political subsystem of society?)
Answer to the poetic question

There are also illusions about the moral-transcendent integrability of society in some authors. I do not believe in this, so I devote a chapter to this issue in the third part of these study. In addition, I return to the issues of "identity" and "freedom", because I believe that they may today paralyze the innovation potential of the political subsystem. Finally, I formulate a proposal for the institutionalization of policy. I present a model of the political institutional system that incorporates the capabilities of democratic (majority) politics into the  framework of DPI (Democratic Political Institution) with their controllable and responsible, consequences.

When a dynamic system undergoes a cyclic evolution, a geometric phase that depends only on the path traversed in parameter space can arise in addition to the normal dynamical phase. These geometric phases have profound impacts in both quantum and classical physics. In addition to the geometric phase associated with band structures in reciprocal space that has led to the discovery of topological insulators, the spin-redirection geometric phase induced by the SO(3) rotation of states in real space can also give rise to intriguing phenomena such as the photonic analog of the spin Hall effect. By exploiting the orbital angular momentum of sound vortices, we theoretically and experimentally demonstrate the spin-redirection geometric phase effects in airborne sound, which is a scalar wave without spin. We show that these effects, associated with the helical transport of sound, can be used to control the flow of sound. This finding opens new possibilities for the manipulation of scalar wave propagation by exploiting spin-redirection geometric phases.

В статье рассматривается новое для современного языкознания направление «когнитивная топология», предполагающее интеграцию когнитивного, топологического и формально-онтологического изучения языка и его трансформаций, которые обусловлена спациальной локализацией и спаицальной когницией индивида.
Направление «когнитивная топология» это новое направление в лингвистических исследованиях, которое позволяет не только описать особенности спациального языка, открывающего особенности спациальной навигации, но и описать топологическую семантику событийных структур, конструируемых в современной медиареальности, что в свою очередь является важным в изучении языка. /
The article discusses the new for of modern linguistics direction “cognitive topology” that integrates cognitive, topological and formal-ontological study of language and its transformations, which are due to spezialnoy localization and specialnoy the cognition of the individual.
Direction “cognitive topology” is a new direction in linguistic research, which allows not only to describe the features spetsialnogo language, opening features spezialnoy navigation, but also to describe the topological semantics of event structures, design in the modern media reality, which in turn is important in language learning.

An analysis of curvature in woven meshes, through understanding of basic properties of a triaxial or kagome lattice, a traditional basket weaving technique.
Following a finite set of mathematical weaving rules, topologically distinct shapes, from surfaces to curves to solids, may be represented in 3D. Under this unifying framework, a universal and modular system emerges for the design, representation and construction of lightweight, flexible models of polyhedral forms, architectural shapes, high-genus surfaces, knots and links.

My project "Mysticism and Neomysticism. Topologies of the Soul in the Writings of Teresa of Avila and Simone Weil" intends to highlight the links between two inflections of mystical thought. Teresa of Avila is a representative of early modern Spanish mysticism, a scholar whose influence on both the West’s mystical and philosophical discourse was fundamental. Drawing on the works of Simone Weil (1909 – 1943), I then want to introduce the term neomysticism to define a strand of 20th-century French philosophy as mystical discourse.

In this paper, I propose to interweave narrativity and aspectuality by focusing on the internal temporality of narrated events. From a phaneroscopical point of view, I construct an aspectual characterization of the notion of event, visualizing the content of what is narrated as a semiotic process of morphologies in becoming. Conceived as a process of morphological semiosis, narrativity involves a schematic and analogic visualization of the flux of narrated events in a situational space. This dynamic of events in becoming is in consonance with a process of aspectual generation of a Peircean character. In it, we go from the one to the multiple—from a germ space to an aspectual topological space — through a constructive process bound to a set of regularities. In accordance with this proposal, every time we have a pair of narrative trajectories that aspectually unfold in our situational space and that converge on the appearance of a single event, we can infer the existence of their corresponding narrative schemas. These schematic entities will make up a synthesis process that will behave, relationally, as a structure of actantial character, an actantiality of events. From a morphodynamical point of view, we will show that this actantial knot can be viewed as a cusp catastrophe. In addition, we will exhibit that this conceptualization coincides with the semiotic paradigm proposed by René Thom.

We describe the implementation and performance characteristics of various mesh network topologies using the OpenPiton framework. We provide a working implementation of an n-dimensional mesh topology (with an option for end-around) that simplifies and generalizes the approach for constructing two and three-dimensional meshes—with it, we are able to characterize the simulated performance of mesh topologies under a variety of configurations. We examine our findings from both an experimental and a theoretical approach and find that higher-dimensional topologies perform better both in terms of median packet latency and packet delay variation. However, at the scale we examine (up to 128 nodes), 4-dimensional topologies do not show significant improvement over 3-dimensional topologies in simulation. We also find that toroidal topologies reduce latency and packet delay variation by a significant amount compared to vanilla meshes for the k-ary n-cube networks we examine where k = 4, n ∈ {2, 3, 4}. Our study provides a preliminary examination of interconnection network topologies with OpenPiton and lays the groundwork for deeper exploration in the future.

This work aims to demonstrate that as geometry or anthropology, topology can offer the architectural space a new form of dimensioning and spatiality, this would amount to a participation of natural light and sound ambiences. The definitions of the topology helped us to build a new analysis model based on the notions of 'route' and 'sequence'. The museums are the object of study of this investigation. A corpus of thirty international museums was subjected to analysis in accordance with the model. Using statistical analyzes of the data collected for this corpus. It must be admitted that for the seen ambience, sequential analysis can alone define the luminous topologies, and the use of the software will confirm them. However for unseen ambiences, such as sound, the software is more than necessary to visualize and define sound topologies.

Economic infrastructure hubs, such as ports, are crucial sites for exploring new political geographies. In such environments, mobilities are enabled and rigidly channelled premised on the stasis of the port-as-checkpoint. Such nodes are part of an ever-growing political geography of zones that requires more attention. This article proposes a 'topolographical' approach – a combined heuristic drawing from political topography and topology – to comprehend more fully the transformations in the political geographies of large-scale infrastructures. The cardinal nature of the port of Dar es Salaam makes it a crucial site through which to illustrate the purchase of this framework. The topographical analysis puts forward the port of Dar as archipelago of global territories, within which heterogeneous actors claim graduated authority. Drawing on topology, the article shows what is folded into the port, constantly shaping not only who governs but, more importantly, how power and authority are exercised. It will be shown how imaginaries of the port – as gateway, seamless space, and modernity 'from scratch' – as much as new technological devices work to produce historically and geographically distinct political geographies, and indeed bring new ones into being.

We define a class of so-called thinnable ideals I on the positive integers which includes several well-known examples, e.g., the collection of sets with zero asymptotic density, sets with zero logarithmic density, and some summable ideals. It is shown that, given a sequence (xn) taking values in a topological space and a thinnable ideal I, the set of cluster points of (xn) is equal to the set of cluster points of almost all its subsequences. Then, we obtain a characterization of ideal convergence, which improves the main result in

In this work we present our recent results of the novel Delay Tolerant Networking (DTN)-based probabilistic routing approach to achieve reliable communication in Airborne Networking (AN) environment associated with intermittent connectivity. The challenge is to find a routing algorithm that can deal with dynamic environment causing networks to split and merge due mainly to nodes mobility, the nature of the wireless channel jamming effect and . The new approach utilizes a DTN technique with the concept of the history of encounters to facilitate smooth information transfer between the heterogeneous nodes in Mobile Ad Hoc Network (MANET). We implement the DTN Architecture in AN environment where topology is changing rapidly because of weather, terrain, highly variable delay links, error rate links, and jamming. In our future work, the framework will include a study and analyze of the impact of the physical parameters on DTN routing protocols performance. Also, we will build a Cross Lay...