scholarly journals A Spinor Model for Cascading Two-port Scattering Matrices In Conformal Geometric Algebra

2021 ◽  
Author(s):  
Alexander Arsenovic
Keyword(s):  
Minkowski Space ◽  
Network Theory ◽  
Geometric Algebra ◽  
Scattering Matrix ◽  
Conformal Geometric Algebra ◽  
Dimensional Minkowski Space ◽  
Scattering Matrices ◽  
Spinor Form ◽  
Spinor Model

Building on the work in [1], this paper shows how Conformal Geometric Algebra (CGA) can be used to model an arbitrary two-port scattering matrix as a rotation in four dimensional Minkowski space, known as a spinor. This spinor model plays the role of the wave-cascading matrix in conventional microwave network theory. Techniques to translate two-port scattering matrix in and out of spinor form are given. Once the translation is laid out, geometric interpretations are given to the physical properties of reciprocity, loss, and symmetry and some mathe- matical groups are identified. Methods to decompose a network into various sub-networks, are given. An example application of interpolating a 2-port network is provided demonstrating an advantage of the spinor model. Since rotations in four dimensional Minkowski space are Lorentz transformations, this model opens up the field of network theory to physicists familiar with relativity, and vice versa.

How Artefacts Do Leadership: A Ventriloquial Analysis

2021 ◽  
pp. 089331892199807
Author(s):  
Jonathan Clifton ◽  
Fernando Fachin ◽  
François Cooren
Keyword(s):  
Organizational Communication ◽  
Recent Work ◽  
Distributed Leadership ◽  
Network Theory ◽  
Actor Network Theory ◽  
Fine Grained ◽  
Naturally Occurring ◽  
Human Actors

To date there has been little work that uses fine-grained interactional analyses of the in situ doing of leadership to make visible the role of non-human as well as human actants in this process. Using transcripts of naturally-occurring interaction as data, this study seeks to show how leadership is co-achieved by artefacts as an in-situ accomplishment. To do this we situate this study within recent work on distributed leadership and argue that it is not only distributed across human actors, but also across networks that include both human and non-human actors. Taking a discursive approach to leadership, we draw on Actor Network Theory and adopt a ventriloquial approach to sociomateriality as inspired by the Montreal School of organizational communication. Findings indicate that artefacts “do” leadership when a hybrid presence is made relevant to the interaction and when this presence provides authoritative grounds for influencing others to achieve the group’s goals.

Handling negative publicity

2017 ◽  
Vol 21 (3) ◽  
pp. 267-286 ◽  
Author(s):  
Angie Chung ◽  
Hua Jiang
Keyword(s):  
Network Theory ◽  
Design Methodology ◽  
Content Type ◽  
Csr Communication ◽  
Subject Design ◽  
Negative Publicity ◽  
Associative Network Theory ◽  
Corporate Social ◽  
The Impact

Purpose Based on the framing theory and the associative network theory, the purpose of this paper is to develop and test a model that examines the impact of employing corporate social responsibility (CSR) communication in apology statements after negative publicity. Specifically, this study examines the role of CSR fit and CSR history in reducing anger and negative word-of-mouth (NWOM). This study also examines whether perceived CSR motivation and skepticism toward the apology statement mediate the effect of CSR fit and CSR history on anger and NWOM. Design/methodology/approach This study was a 2×2 between-subject design manipulating CSR fit (high or low) and CSR history (long or short). Findings The findings of this study suggest that strategically employing CSR communication in an apology statement after negative publicity may reduce negative consumer reactions. Originality/value The effects of CSR history and CSR fit have been studied in different contexts, but the effects of mentioning the two components in terms of apology statements had been understudied. This paper fulfills an identified need to study how employing CSR communication in apology statements after negative publicity can mitigate negative audience reactions.

scholarly journals ON NONLINEARITY OF p-BRANE DYNAMICS

2012 ◽  
Vol 09 (06) ◽  
pp. 1261017 ◽  
Author(s):  
A. A. ZHELTUKHIN
Keyword(s):  
Exact Solutions ◽  
Minkowski Space ◽  
Nonlinear Equations ◽  
New Exact Solutions ◽  
Dimensional Minkowski Space

Nonlinear equations of p-branes in D = (2p + 1)-dimensional Minkowski space are discussed. Presented are new exact solutions for a set of spinning p-branes with the Abelian symmetries U(1) × U(1) × ⋯ ×U(1) of their shapes.

scholarly journals New Representations of Spherical Indicatricies of Bertrand Curves in Minkowski 3-Space

Geometry ◽  
2015 ◽  
Vol 2015 ◽  
pp. 1-5
Author(s):  
İsmail Aydemir ◽  
Fırat Yerlikaya
Keyword(s):  
Minkowski Space ◽  
3 Dimensional ◽  
Bertrand Curve ◽  
Dimensional Minkowski Space ◽  
Characteristic Features

We obtained a new representation for timelike Bertrand curves and their Bertrand mate in 3-dimensional Minkowski space. By using this representation, we expressed new representations of spherical indicatricies of Bertrand curves and computed their curvatures and torsions. Furthermore in case the indicatricies of a Bertrand curve are slant helices, we investigated some new characteristic features of these curves.

scholarly journals The Role of Movement Patterns in Epidemic Models on Complex Networks

2021 ◽  
Vol 83 (10) ◽  
Author(s):  
Alfonso Ruiz-Herrera ◽  
Pedro J. Torres
Keyword(s):  
Complex Networks ◽  
Network Theory ◽  
Diffusion Rate ◽  
Critical Role ◽  
Movement Patterns ◽  
Epidemic Models ◽  
Simplifying Assumptions ◽  
The Common

AbstractIn this paper, we analyze the influence of the usual movement variables on the spread of an epidemic. Specifically, given two spatial topologies, we can deduce which topology produces less infected individuals. In particular, we determine the topology that minimizes the overall number of infected individuals. It is worth noting that we do not assume any of the common simplifying assumptions in network theory such as all the links have the same diffusion rate or the movement of the individuals is symmetric. Our main conclusion is that the degree of mobility of the population plays a critical role in the spread of a disease. Finally, we derive theoretical insights to management of epidemics.

Foundations for Strip Adjustment of Airborne Laserscanning Data with Conformal Geometric Algebra

2021 ◽  
Vol 32 (1) ◽  
Author(s):  
Eckhard Hitzer ◽  
Werner Benger ◽  
Manfred Niederwieser ◽  
Ramona Baran ◽  
Frank Steinbacher
Keyword(s):  
Geometric Algebra ◽  
Conformal Geometric Algebra

scholarly journals Memory Efficient Method for Electromagnetic Multi-Region Models Using Scattering Matrices

2018 ◽  
Vol 23 (4) ◽  
pp. 71 ◽  
Author(s):  
C. Custers ◽  
J. Jansen ◽  
E. Lomonova
Keyword(s):  
Electromagnetic Field ◽  
Boundary Conditions ◽  
Efficient Method ◽  
Maximum Size ◽  
Scattering Matrix ◽  
Matrix Approach ◽  
Matrix Formulation ◽  
Scattering Matrices ◽  
Memory Efficient

This paper describes the scattering matrix approach to obtain the solution to electromagnetic field quantities in harmonic multi-layer models. Using this approach, the boundary conditions are solved in such way that the maximum size of any matrix used during the computations is independent of the number of regions defined in the problem. As a result, the method is more memory efficient than classical methods used to solve the boundary conditions. Because electromagnetic sources can be located inside the regions of a configuration, the scattering matrix formulation is developed to incorporate these sources into the solving process. The method is applied to a 3D electromagnetic configuration for verification.

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