The linear transformation that relates the canonical and coefficient embeddings of ideals in cyclotomic integer rings

2017 ◽  
Vol 13 (09) ◽  
pp. 2277-2297
Author(s):  
Scott C. Batson
Keyword(s):  
Linear Transformation ◽  
Algebraic Integer ◽  
The Core ◽  
Ideal Lattices ◽  
Shortest Vector Problem ◽  
The Matrix ◽  
Recent Developments ◽  
Integer Ring ◽  
Lattice Ideal ◽  
Lattice Based Cryptography

The geometric embedding of an ideal in the algebraic integer ring of some number field is called an ideal lattice. Ideal lattices and the shortest vector problem (SVP) are at the core of many recent developments in lattice-based cryptography. We utilize the matrix of the linear transformation that relates two commonly used geometric embeddings to provide novel results concerning the equivalence of the SVP in these ideal lattices arising from rings of cyclotomic integers.

The Structure and Development of Microbodies in the Fat Body and other Tissues of an Insect (Calpodes Ethlius)

1970 ◽  
Vol 28 ◽  
pp. 148-149
Author(s):  
M. Locke ◽  
J. T. McMahon
Keyword(s):  
Electron Microscopy ◽  
Liquid Crystals ◽  
Fat Body ◽  
Competitive Inhibitor ◽  
Dense Core ◽  
Urate Oxidase ◽  
Blood Proteins ◽  
Free Base ◽  
The Core ◽  
The Matrix

The fat body of insects has always been compared functionally to the liver of vertebrates. Both synthesize and store glycogen and lipid and are concerned with the formation of blood proteins. The comparison becomes even more apt with the discovery of microbodies and the localization of urate oxidase and catalase in insect fat body.The microbodies are oval to spherical bodies about 1μ across with a depression and dense core on one side. The core is made of coiled tubules together with dense material close to the depressed membrane. The tubules may appear loose or densely packed but always intertwined like liquid crystals, never straight as in solid crystals (Fig. 1). When fat body is reacted with diaminobenzidine free base and H2O2 at pH 9.0 to determine the distribution of catalase, electron microscopy shows the enzyme in the matrix of the microbodies (Fig. 2). The reaction is abolished by 3-amino-1, 2, 4-triazole, a competitive inhibitor of catalase. The fat body is the only tissue which consistantly reacts positively for urate oxidase. The reaction product is sharply localized in granules of about the same size and distribution as the microbodies. The reaction is inhibited by 2, 6, 8-trichloropurine, a competitive inhibitor of urate oxidase.

The Primacy of Experience

2019 ◽  
pp. 64-81
Author(s):  
Andrea Schiavio
Keyword(s):  
Ecological Factors ◽  
Assessment Practices ◽  
Flexible Systems ◽  
Phenomenological Philosophy ◽  
The Core ◽  
Learning Contexts ◽  
Grading Systems ◽  
Recent Developments ◽  
Core Issue ◽  
Event Based

This chapter explores a possible alternative to traditional “paper-and-pencil” assessment practices in music classes. It argues that an approach based on phenomenological philosophy and inspired by recent developments in cognitive science may shed new light on learning and help educators reconsider grading systems accordingly. After individuating the core issue in an unresolved tension between subjective-objective methodologies relevant to certain learning contexts, the chapter proposes a possible remedy by appealing to three principles central to “embodied” approaches to cognition. Such principles may help educators reframe cognitive phenomena (learning described as a measurable event based on “information processing”) in terms of cognitive ecosystems (learning understood as a negotiating and transformative activity codetermined by diverse embodied and ecological factors connected in recurrent fashion). Accommodating this shift implies transforming assessment practices into more open and flexible systems that take seriously the challenge of cooperative learning and phenomenological reflections.

scholarly journals CASTING THE LIGHT OF THE THEORY OF OPPOSITION ONTO HOHFELD'S FUNDAMENTAL LEGAL CONCEPTS

Legal Theory ◽  
2021 ◽  
pp. 1-34
Author(s):  
João Alberto de Oliveira Lima ◽  
Cristine Griffo ◽  
João Paulo A. Almeida ◽  
Giancarlo Guizzardi ◽  
Marcio Iorio Aranha
Keyword(s):  
Conceptual Framework ◽  
Legal Theory ◽  
Analytical Framework ◽  
The Core ◽  
Recent Developments ◽  
The Law ◽  
Opposition Theory ◽  
Legal Concepts ◽  
Number Of Authors

Abstract At the core of Hohfeld's contribution to legal theory is a conceptual framework for the analysis of the legal positions occupied by agents in intersubjective legal relations. Hohfeld presented a system of eight “fundamental” concepts relying on notions of opposition and correlation. Throughout the years, a number of authors have followed Hohfeld in applying the notion of opposition to analyze legal concepts. Many of these authors have accounted for Hohfeld's theory in direct analogy with the standard deontic hexagon. This paper reviews some of these accounts and extends them employing recent developments from opposition theory. In particular, we are able to extend application of opposition theory to an open conception of the law. We also account for the implications of abandoning the assumption of conflict-freedom and admitting seemingly conflicting legal positions. This enables a fuller analysis of Hohfeld's conceptual analytical framework. We also offer a novel analysis of Hohfeld's power positions.

A UNIFIED FORMALISM OF THERMAL QUANTUM FIELD THEORY

1994 ◽  
Vol 09 (14) ◽  
pp. 2363-2409 ◽  
Author(s):  
H. CHU ◽  
H. UMEZAWA
Keyword(s):  
Field Theory ◽  
Quantum Field Theory ◽  
Vacuum Polarization ◽  
Time Dependent ◽  
Quantum Field ◽  
Bogoliubov Transformation ◽  
Transformation Matrices ◽  
Thermo Field Dynamics ◽  
The Matrix ◽  
Recent Developments

We present a comprehensive review of the most fundamental and practical aspects of thermo-field dynamics (TFD), including some of the most recent developments in the field. To make TFD fully consistent, some suitable changes in the structure of the thermal doublets and the Bogoliubov transformation matrices have been made. A close comparison between TFD and the Schwinger-Keldysh closed time path formalism (SKF) is presented. We find that TFD and SKF are in many ways the same in form; in particular, the two approaches are identical in stationary situations. However, TFD and SKF are quite different in time-dependent nonequilibrium situations. The main source of this difference is that the time evolution of the density matrix itself is ignored in SKF while in TFD it is replaced by a time-dependent Bogoliubov transformation. In this sense TFD is a better candidate for time-dependent quantum field theory. Even in equilibrium situations, TFD has some remarkable advantages over the Matsubara approach and SKF, the most notable being the Feynman diagram recipes, which we will present. We will show that the calculations of two-point functions are simplified, instead of being complicated, by the matrix nature of the formalism. We will present some explicit calculations using TFD, including space-time inhomogeneous situations and the vacuum polarization in equilibrium relativistic QED.

Development of shape memory alloy hybrid yarns for adaptive fiber-reinforced plastics

2018 ◽  
Vol 89 (8) ◽  
pp. 1371-1380 ◽  
Author(s):  
Moniruddoza Ashir ◽  
Andreas Nocke ◽  
Chokri Cherif
Keyword(s):  
Shape Memory ◽  
Technological Development ◽  
Fiber Reinforced ◽  
Material Loss ◽  
Reinforced Plastics ◽  
The Core ◽  
Hybrid Yarn ◽  
Pull Out ◽  
The Matrix ◽  
Fiber Reinforced Plastics

The application of shape memory alloys (SMAs) for the development of adaptive fiber-reinforced plastics has been expanding steadily in recent years. In order to prevent matrix damage and optimize the actuating potential of SMAs during the process of thermally induced activation, a barrier layer between SMAs and the matrix of fiber-reinforced plastics is required. This article approaches the textile technological development of SMA hybrid yarns as a core–sheath structure using friction spinning technology, whereby the SMA serves as the core. Four types of hybrid yarns are produced by varying the number of process stages from one to three, as well as the core and sheath materials. The decoupling of the SMA from fiber-reinforced plastics is crucial for optimizing the actuating potential of SMA, thus it is tested by means of the pull-out test. Although the material loss coefficient increases by raising the number of process stages, the three-stage processing of SMA hybrid yarn with an additional glass roving is found to be the most suitable variation for decoupling SMA from the matrix of fiber-reinforced plastics.

Anarchism and Cybernetics: A Missed Opportunity Revisited

2020 ◽  
pp. 35-60
Author(s):  
Thomas Swann
Keyword(s):  
Social Movement ◽  
Viable System Model ◽  
Detailed Understanding ◽  
Functional Roles ◽  
The Core ◽  
Recent Developments ◽  
Functional Hierarchy ◽  
Viable System ◽  
Conceptual Overview ◽  
Missed Opportunity

Chapter Three provides a historical and conceptual overview of both anarchism and cybernetics, focusing on recent developments in anarchist social movement practice and Stafford Beer’s organisational cybernetics respectively. The chapter argues that the core cybernetic principles of complexity, control and autonomy, understood through the overarching idea of self-organisation, can help elaborate a detailed understanding of anarchist organisation. To do so, the chapter develops Beer’s Viable System Model for anarchist social movement organising and uses the example of Occupy to show how the functional hierarchy of Beer’s model can be applied to forms of organisation that are typically understood as rejecting hierarchy. The chapter builds on an important article written by John D. McEwan to show how functional roles in an organisation can be realised on structurally non-hierarchical ways that reinforce the radically democratic and participatory practices of anarchism.

Introduction

2020 ◽  
pp. 1-16
Author(s):  
Beth Van Schaack
Keyword(s):  
Security Council ◽  
Civil Liability ◽  
Sovereign State ◽  
The Core ◽  
The Matrix

This chapter introduces the conflict in Syria, the various impediments to justice, and the book’s broad themes, including the observation that the paralysis in the U.N. Security Council has spurred a form of forced creativity that has generated a number of novel proposals for how to bring justice to Syria. In addition to providing an overview of the text, this introduction also presents the matrix of accountability that will structure the core of the book. This matrix is organized along two axes: the first (x) is premised on the distinction between criminal and civil liability; the second (y) compares the types of justice institutions and legal authorities that are available to bring individual perpetrators and even Syria as a sovereign state to justice. The remainder of the book explores different routes to accountability through this matrix and the various advantages presented by, and the challenges encumbering, the various justice options when it comes to the situation in Syria.

The Effect of Vuggy Porosity on Straining in Porous Media

SPE Journal ◽  
2019 ◽  
Vol 24 (03) ◽  
pp. 1164-1178 ◽  
Author(s):  
Hasan J. Khan ◽  
Maša Prodanovic ◽  
David A. DiCarlo
Keyword(s):  
Glass Beads ◽  
Surface Forces ◽  
Particle Sizes ◽  
Sintering Process ◽  
The Core ◽  
Maximum Change ◽  
Flow Experiment ◽  
The Matrix ◽  
Flow Configurations ◽  
Shape Changes

Summary A formation-damage experimental study is conducted on synthetic homogeneous and vuggy cores. Glass beads of 1.0 mm are sintered to form a uniform core with a porosity of 42%, and finer-sized glass beads (25 and 100 µm) are used as the infiltrates. Glass beads are used as the matrix and infiltrate to reduce surface forces, and the flow is gravity dominated. Dissolvable inclusions are added during the sintering process to create vugs in the core. The pore-size to vug-size ratio is 1:100. The injected-particle sizes are chosen such that straining is the dominant trapping mechanism during the flow experiment. Infiltrate particles are injected at different flow configurations, and the resultant porosity, permeability, and effluent volume are measured. The results can be summarized as follows: Vugs get up to 32% smaller caused by the flow for the infiltrate, while the maximum change in the porosity is observed at the bottom end of the core, vug shape changes to a smoother and rounded surface, and particles go deeper (8 mm more) into the formation when vugs are present, causing damage deeper inside the formation.

scholarly journals Development of a Hydrogeological Model of the Borrowdale Volcanics at Sellafield

1997 ◽  
Vol 1 (1) ◽  
pp. 35-46 ◽  
Author(s):  
R. J. Lunn ◽  
A. D. Lunn ◽  
R. Mackay
Keyword(s):  
Radioactive Waste ◽  
Transport Model ◽  
Research Programme ◽  
Maximum Principal Stress ◽  
Hydrogeological Model ◽  
Borehole Data ◽  
The Matrix ◽  
Recent Developments ◽  
Conceptual Hydrogeological Model ◽  
Current Maximum

Abstract. This work has arisen out of recent developments within the radioactive waste research programme managed by Her Majesty's Inspectorate of Pollution, UK (HMIP)*, to develop an integrated flow and transport model for the potential deep radioactive waste repository at Sellafield. One of the largest sources of uncertainty in model predictions, is the characterisation of the hydrogeological properties of the underlying strata, in particular, of the Borrowdale Volcanic Group (BVG) within which the repository is to be located. Analysis of the available borehole data (that released by the proponent company, Nirex, by December 1995) for the BVG formation has indicated a dual regime consisting of flow within faults and flow within the matrix (or an equivalent porous medium containing micro-fractures). Significant relationships between permeability, depth and the presence and orientation of faults have been identified; they account for a variation of up to 6 orders of magnitude in mean permeability measurements. This can be explained in part by the effect of the orientation of the current maximum principal stress directions within the BVG: however, it is likely that permeability is also dependent on the existence of fracture families, which cannot be effectively identified from the data currently available. These analyses have enabled considerable insight to be gained into the dominant features of flow within the BVG. The conceptual hydrogeological model derived here will have a significant effect on the outcome and reliability of future radionuclide transport predictions in the Sellafield area.

Socratic questioning put into clinical practice

2020 ◽  
pp. 1-3
Author(s):  
Carlos Carona ◽  
Charlotte Handford ◽  
Ana Fonseca
Keyword(s):  
Clinical Practice ◽  
Clinical Applications ◽  
Behavioural Medicine ◽  
Clinical Communication ◽  
The Core ◽  
Socratic Questioning ◽  
Recent Developments

SUMMARY Socratic questioning is at the core of collaborative clinical communication, with a wide array of applications in behavioural medicine and psychotherapy. This brief article describes the process of therapeutic Socratic questioning, illustrates its clinical applications in therapy and provides a brief update on its recent developments.

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