Examples Of Embeddings Research Articles

Stretchable Arduinos embedded in soft robots.

To achieve real-world functionality, robots must have the ability to carry out decision-making computations. However, soft robots stretch and therefore need a solution other than rigid computers. Examples of embedding computing capacity into soft robots currently include appending rigid printed circuit boards to the robot, integrating soft logic gates, and exploiting material responses for material-embedded computation. Although promising, these approaches introduce limitations such as rigidity, tethers, or low logic gate density. The field of stretchable electronics has sought to solve these challenges, but a complete pipeline for direct integration of single-board computers, microcontrollers, and other complex circuitry into soft robots has remained elusive. We present a generalized method to translate any complex two-layer circuit into a soft, stretchable form. This enabled the creation of stretchable single-board microcontrollers (including Arduinos) and other commercial circuits (including SparkFun circuits), without design simplifications. As demonstrations of the method's utility, we embedded highly stretchable (>300% strain) Arduino Pro Minis into the bodies of multiple soft robots. This makes use of otherwise inert structural material, fulfilling the promise of the stretchable electronic field to integrate state-of-the-art computational power into robust, stretchable systems during active use.

РОЛЬ ЭМОЦИОНАЛЬНЫХ ТРИГГЕРОВ В ЭКРАННОЙ КУЛЬТУРЕ

The relevance of the research is connected with the need to explain the mechanisms and strategies of the screen's influence on modern man. The problem of emotional perception of screen culture by a person through the prism of "emotional triggers" is considered, some of their types are analyzed and examples of embedding in screen culture are given. A certain vision of the role of emotional triggers is also formulated and the prospects for further development of screen culture in which they will play a key role are described. Emotional triggers contribute to maintaining the process of endless consumption of mass culture products. The maintenance of this process occurs due to the formation of a sense of emotional closeness and deep, in the opinion of the viewer, emotional contact with the products and phenomena of modern mass culture. Triggers become a form of representation of reality in the consciousness of the subject, creating instead of real reality a new form of its representation filled with visualized images and phantoms, which brings a certain emotional load into the viewer's consciousness. In this sense, screen culture can be considered as a global tool that exerts an artificial influence on both the individual viewer and the public consciousness as a whole. Emotional triggers, influencing the thoughts and behavior of the viewer, form secondary ways of describing the world for him, set the coordinates of orientation in the world of screen culture, simulating the immediacy of personal experiences and feelings, creating the illusion of belonging, integrity to a certain informational whole, thus building their own identity. The role, or rather the power of the impact of emotional triggers in modern screen culture is due to the fact that they are always visualized, and emotions most vividly affect it through visual images.

Surface embeddings of the Klein and the Möbius–Kantor graphs

This paper describes an invariant representation for finite graphs embedded on orientable tori of arbitrary genus, with working examples of embeddings of the Möbius-Kantor graph on the torus, the genus-2 bitorus and the genus-3 tritorus, as well as the two-dimensional, 7-valent Klein graph on the tritorus (and its dual: the 3-valent Klein graph). The genus-2 and -3 embeddings describe quotient graphs of 2- and 3-periodic reticulations of hyperbolic surfaces. This invariant is used to identify infinite nets related to the Möbius-Kantor and 7-valent Klein graphs.

Democracy of shearlet frames with applications

Shearlets on the cone provide Parseval frames for L2. They also provide near-optimal approximation for the class E of cartoon-like images. Moreover, there are spaces associated to them other than L2 and there exist embeddings between these and classical spaces.We prove approximation properties of the cone-adapted shearlet system coefficients in a more general context. Namely, when the target shearlet sequence belongs to a class or space different to that obtained from a shearlet sequence of a f∈E and when the error is not necessarily measured in the L2-norm (or, since the shearlet system is a frame, the ℓ2-norm) but in a norm of a much wider family of smoothness spaces of “high” anisotropy. We first prove democracy of shearlet frames in shear anisotropic inhomogeneous Besov and Triebel–Lizorkin sequence spaces. Then, we prove embeddings between approximation spaces and discrete weighted Lorentz spaces in the framework of shearlet coefficients. Simultaneously, we also prove that these embeddings are equivalent to Jackson and Bernstein type inequalities. This allows us to find real interpolation between these highly anisotropic sequence spaces. We also describe how some of these results can be extended to other shearlet and curvelet generated spaces. Finally, we show some examples of embeddings between wavelet approximation spaces and shearlet approximation spaces and obtain a similar result stated in L2(R2) for the curvelet smoothness spaces. This also paves the way to the use of thresholding algorithms in compression or noise reduction.

Hawking into Unruh mapping for embeddings of hyperbolic type

We study the conditions of the existence of Hawking into Unruh mapping for hyperbolic (Fronsdal-type) metric embeddings into the Minkowski space, for which timelines are hyperbolas. Many examples are known for global embeddings into the Minkowskian spacetime (GEMS), with such mapping for physically interesting metrics with some symmetry. However, examples of embeddings, both smooth and hyperbolic, for which there is no mapping, were also given. In the present work we prove that Hawking into Unruh mapping takes place for a hyperbolic embedding of an arbitrary metric with a time-like Killing vector and a Killing horizon if the embedding of such type exists and smoothly covers the horizon. At the same time, we do not assume any symmetry (spherical, for example), except the time translational invariance, which corresponds to the existence of a time-like Killing vector. We show that the known examples of the absence of mapping do not satisfy the formulated conditions of its existence.

Reading instruction in tier 1: Bridging the gaps by nesting evidence‐based interventions within differentiated instruction

AbstractResponse to Intervention (RtI) has brought about many changes in the way educational services are being provided to students who are at risk of school failure. Schools are seeking strategies that will be beneficial to more and more students, including those students whose instruction is primarily in the core, or Tier 1. Nesting proven, evidence‐based practices more widely in an RtI model is discussed as an efficient strategy for closing achievement gaps and research‐‐practice gaps. To differentiate instruction relative to RtI and the core curriculum, the application of strategies typically reserved for Tiers 2 and 3 is suggested. An example of embedding, or nesting, interventions at Tier 1 is given. Organizational tools are provided for Tier 1 whole‐class, differentiated instruction in fluency training, including repeated readings. The roles of the school psychologist, teacher, and administrator in the model are considered, along with specific, targeted examples and approaches. © 2012 Wiley Periodicals, Inc.

Embeddings of root systems II: Permutation root systems

This paper studies a class of embeddings of “permutation” root systems, with properties abstracting those of examples of embeddings of linear root systems over commutative rings, as considered in the first paper in this series. The root system of one Coxeter group W (regarded as a permutation representation) is realized with its roots as sets of roots of another Coxeter group W ′ , with action induced by an embedding of W in (a completion of) W ′ .

Embeddings of root systems I: Root systems over commutative rings

This paper gives examples of embeddings of root systems of Coxeter groups, including sporadic embeddings of standard real root systems in other standard real root systems, and, for a general Coxeter group, an embedding of its universal symmetric root system over commutative rings into the standard real root system of a simply laced Coxeter group.

From Design to Application of a Decision-support System for Integrated River-basin Management

During the last two decades several integrated tools have been developed to make the existing scientific knowledge available to river managers and assist them with the formulation and evaluation of alternative combinations of measures. Yet, few practical examples of embedding of these instruments in river management organizations can be observed so far. This paper identifies the possible organizational, technical, and scientific factors that may form an obstacle for the design and application of a Decision-Support System (DSS) for river-basin management by analyzing the interaction between the different participants in the Elbe DSS project. In particular attention is paid to the software engineering aspects of the design process. In order to start an integrated approach to deal with conflicting river strategies a project to develop a prototype tool for integrated management of the Elbe catchment was initiated, which includes functionalities related to inland navigation, water quality, flood safety, and vegetation ecology. The problems faced in the German part of the Elbe catchment range from poor navigation conditions and flooding vulnerability to a need to restore and maintain the natural state of the floodplains. Several river engineering works such as large-scale dike shifting, channel dredging, and large-scale retention are in a planning or implementation stage. From the beginning of the project onwards attention was paid to the involvement of potential end-users and key stakeholders in the design process. The experience of the project is that internal consistency of models and data, effective communication, and functional flexibility are essential to warrant a proper balance between scientific standards, the availability of models, and the requirements of users. This facilitates the design process and improves the chance of successful implementation.

Spaces of Bessel‐potential type and embeddings: the super‐limiting case

AbstractWe consider Bessel‐potential spaces modelled upon Lorentz‐Karamata spaces and establish embedding theorems in the super‐limiting case. In addition, we refine a result due to Triebel, in the context of Bessel‐potential spaces, itself an improvement of the Brézis‐Wainger result (super‐limiting case) about the “almost Lipschitz continuity” of elements of H1+n/pp (ℝn). These results improve and extend results due to Edmunds, Gurka and Opic in the context of logarithmic Bessel potential spaces. We also give examples of embeddings of Besselpotential type spaces which are not of logarithmic type. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

Co-critical points of elementary embeddings

Probably the two most famous examples of elementary embeddings between inner models of set theory are the embeddings of the universe into an inner model given by a measurable cardinal and the embeddings of the constructible universeLinto itself given by 0#. In both of these examples, the “target model” is a subclass of the “ground model” (and in the latter case they are equal). It is not hard to find examples of embeddings in which the target model is not a subclass of the ground model: ifis a generic ultrafilter arising from forcing with a precipitous ideal on a successor cardinalκ, then the ultraproduct of the ground model viacollapsesκ. Such considerations suggest a classification of how close the target model comes to “fitting inside” the ground model.Definition 1.1. LetMandNbe inner models (transitive, proper class models) of ZFC, and letj:M→Nbe an elementary embedding. Theco-critical pointofjis the least ordinalλ, if any exist, such that there isX⊆λ, X∈NbutX∉M. Such anXis called anew subsetofλ.It is easy to see that the co-critical point ofj:M→Nis a cardinal inN.