Reconfigurable Intelligent Surface-Based Space-Time Block Transmission on 6G

Reconfigurable intelligent surface (RIS) is considered to be a new technology with great potential and is being studied extensively and deeply. And the application extension of STBC in the RIS-aided scheme provides a new train of thought for the research of channel coding. In this paper, we propose we extend the scheme of using the RIS to adjust the phase and reconfigure the reflected signal and propose the design of the RIS-aided QO-STBC scheme and the RIS-aided QO-STBC scheme with interference cancellation. Particularly in the RIS-aided QO-STBC scheme with interference cancellation, the design can achieve the transmission of the full rate and full diversity using an auxiliary reflection group to eliminate the influence of interference term. Also, the advantages and disadvantages of the schemes are analyzed in the paper, and the decoding algorithms with different complexity used in the proposed schemes are described. The simulation results show that the performance of the RIS-aided QO-STBC scheme with interference cancellation is better than that of the RIS-aided QO-STBC scheme and the RIS-aided Alamouti scheme by about 5 dB and 7 dB at 1 0 − 3 BER because of diversity gain and coding gain.

Differential operators and reection group of type Bn

In this note, we study the polynomial representation of the quantum Olshanetsky-Perelomov system for a finite reflection group W of type Bn. We endowed the polynomial ring C[x 1,..., xn ] with a structure of module over the Weyl algebra associated with the ring C[x 1,..., xn]W of invariant polynomials under a reflections group W of type Bn . Then we study the polynomials representation of the ring of invariant differential operators under the reflections group W. We make use of the theory of representation of groups namely the higher Specht polynomials associated with the reflection group W to yield a decomposition of that structure by providing explicitly the generators of its simple components.

NORMAL REFLECTION SUBGROUPS OF COMPLEX REFLECTION GROUPS

We study normal reflection subgroups of complex reflection groups. Our approach leads to a refinement of a theorem of Orlik and Solomon to the effect that the generating function for fixed-space dimension over a reflection group is a product of linear factors involving generalised exponents. Our refinement gives a uniform proof and generalisation of a recent theorem of the second author.

Mind the Gap: Priorities for Transatlantic China Policy – Report of the Distinguished Reflection Group on Transatlantic China Policy

Today’s China presents fundamental challenges to the democracies of Europe and North America. Perspectives on China will continue to differ due to geography, economic exposure, perceptions, historical trajectories as well as foreign policy approaches. But there has been significant convergence among transatlantic partners. Today, areas of agreement are substantial and offer a solid basis for cooperation. What is needed is a pragmatic approach identifying joint action where possible and managing differences where necessary. This report proposes a transatlantic agenda aimed at achieving quick wins, with recommendations organized by seven issue areas.

Pupils’ research skills development through project-based learning in biology

The study aims to develop theoretical foundations, methods of forming research skills of pupils in biological education, and experimental substantiation of its effectiveness. The following methods were used: analysis of psychological and pedagogical, biological, scientific, and methodological literature, the definition of the theory, the innovative methods of biological education, practical work, pedagogical practice, control, questionnaires, interviews, statistical analysis, identification, and implementation of training experiments. It is proposed to develop methods and determine the content of the formation of research competence through project activities, conduct and introduce them into the educational process. It is necessary to analyze the psychological, pedagogical, biological, scientific, and methodological literature to determine the theory, innovative methods of biological education, the organization of practical work, pedagogical practice, using a statistical method, which will lead to the creation of a methodology for the formation of research skills of pupils. Keywords: project-based learning, research, methodology, reflection, group work.

Developing and Assessing Empathy through Study of Christian Heresies in an Introductory Christian History and Theology Course

Empathy is a nebulous concept that is nonetheless touted in many schools’ curricular goals and striven for by many instructors. Unfortunately, lack of a shared definition and reliable measures for empathy hamper efforts to determine whether this goal is realized. Defining empathy as “the ability to know the internal state of another,” this study explores the effect on students’ empathy of a learning project focused on Christian “heresies,” developing and refining tools for assessing empathy in student writing. The intervention included scripted role-playing and reflection, group discussion, and an essay in which students discussed the appeal and rejection of a particular heresy in the persona of a “heretic.” We found no significant effect in time or group comparison on an empathy questionnaire; an upper-middling level of empathy in essays, and a large effect in group comparison of student responses to a simple prompt to define a “Christian heretic.”

Classification of Vertex-Transitive Zonotopes

We give a full classification of vertex-transitive zonotopes. We prove that a vertex-transitive zonotope is a $$\Gamma $$ Γ -permutahedron for some finite reflection group $$\Gamma \subset {{\,\mathrm{O}\,}}(\mathbb {R}^d)$$ Γ ⊂ O ( R d ) . The same holds true for zonotopes in which all vertices are on a common sphere, and all edges are of the same length. The classification of these then follows from the classification of finite reflection groups. We prove that root systems can be characterized as those centrally symmetric sets of vectors, for which all intersections with half-spaces, that contain exactly half the vectors, are congruent. We provide a further sufficient condition for a centrally symmetric set to be a root system.