Construction techniques for Galois coverings of the affine line

1993 ◽  
Vol 103 (2) ◽  
Author(s):  
Shreeram S. Abhyankar ◽  
Herbert Popp ◽  
Wolfgang K. Seiler
Keyword(s):  
Construction Techniques ◽  
Galois Coverings ◽  
Affine Line

Preliminaries

2017 ◽  
Author(s):  
Ehud Hrushovski ◽  
François Loeser
Keyword(s):  
Valued Fields ◽  
Definable Set ◽  
Valued Field ◽  
Galois Coverings ◽  
Definable Type ◽  
Definable Sets ◽  
Background Material

This chapter provides some background material on definable sets, definable types, orthogonality to a definable set, and stable domination, especially in the valued field context. It considers more specifically these concepts in the framework of the theory ACVF of algebraically closed valued fields and describes the definable types concentrating on a stable definable V as an ind-definable set. It also proves a key result that demonstrates definable types as integrals of stably dominated types along some definable type on the value group sort. Finally, it discusses the notion of pseudo-Galois coverings. Every nonempty definable set over an algebraically closed substructure of a model of ACVF extends to a definable type.

Construction Techniques of Anticipatory Monitors for Parameterized LTL

2010 ◽  
Vol 21 (2) ◽  
pp. 318-333
Author(s):  
Chang-Zhi ZHAO ◽  
Wei DONG ◽  
Ping SUI ◽  
Zhi-Chang QI
Keyword(s):  
Construction Techniques

Sustainable Construction Techniques

2015 ◽  
Author(s):  
Sebastian El khouli ◽  
Viola John ◽  
Martin Zeumer
Keyword(s):  
Sustainable Construction ◽  
Construction Techniques

Merovingian Religious Architecture

2020 ◽  
pp. 656-692
Author(s):  
Pascale Chevalier
Keyword(s):  
Roman Empire ◽  
Eighth Century ◽  
Classical Antiquity ◽  
Architectural Form ◽  
Religious Buildings ◽  
Religious Architecture ◽  
Construction Techniques ◽  
Cultural Exchanges ◽  
New Research ◽  
Functional Content

For nearly 270 years, between the end of the Roman Empire and the advent of the Carolingian dynasty, the Merovingian territories experienced an intense flowering of religious construction, which recent archaeology has documented with increasing detail. This chapter sheds light on new research and recent discoveries; however, rather than reviewing all of the sites and studies of Merovingian churches and the contemporary sources mentioning them, it gives some new clues and reflections about so-called Merovingian architecture and the broad vision of an architectural form that was expressed in quite simple but majestic designs. These structures, constructed of stone (or wood), reveal a society progressively Christianized under the leadership of bishops, clerics, and monks, as well as by the Merovingian sovereigns. Without any break with classical antiquity, the Merovingian centuries fit into a continuous legacy that transformed the monumental landscape in both cities and countryside. The various forms of Christian monuments of the fifth to eighth century thus illustrate this heritage, sometimes through an extreme simplification of antique patterns and sometimes through the enrichment of aesthetic forms brought by the arrival of immigrant populations. Within a changing world, religious buildings appear to have been a catalyst for cultural exchanges as places of visibility and gathering, as witnesses of the building fever of the period. Our understanding of religious architecture in Merovingian Gaul is gradually becoming more accurate. We now know an increasing amount about the establishment, planning, forms and sizes, construction techniques, ornamentation, and liturgical and functional content of all these structures. These structures, which were so varied in size and use, reveal extensive artistic plurality.

scholarly journals Spectrum Awareness for Cognitive Radios Supported by Radio Environment Maps: Zonal Approach

2021 ◽  
Vol 11 (7) ◽  
pp. 2910
Author(s):  
Paweł Kaniewski ◽  
Janusz Romanik ◽  
Edward Golan ◽  
Krzysztof Zubel
Keyword(s):  
Situational Awareness ◽  
Cognitive Radios ◽  
Field Tests ◽  
Radio Networks ◽  
Map Construction ◽  
Environment Map ◽  
Construction Techniques ◽  
Interpolation Techniques ◽  
Environment Maps ◽  
Radio Environment Maps

In this paper, we present the concept of the Radio Environment Map (REM) designed to ensure electromagnetic situational awareness of cognitive radio networks. The map construction techniques based on spatial statistics are presented. The results of field tests done for Ultra High Frequency (UHF) range with different numbers of sensors are shown. Exemplary maps with selected interpolation techniques are presented. Control points where the signal from licensed users is correctly estimated are identified. Finally, the map quality is assessed, and the most promising interpolation techniques are selected.

scholarly journals Two algebraic deformations of a K3 surface

1981 ◽  
Vol 82 ◽  
pp. 1-26
Author(s):  
Daniel Comenetz
Keyword(s):  
Hyperelliptic Curve ◽  
Double Cover ◽  
Rational Curves ◽  
K3 Surface ◽  
Quartic Surface ◽  
Quadric Cone ◽  
Birational Model ◽  
Affine Line ◽  
Characteristic 2 ◽  
General Member

Let X be a nonsingular algebraic K3 surface carrying a nonsingular hyperelliptic curve of genus 3 and no rational curves. Our purpose is to study two algebraic deformations of X, viz. one specialization and one generalization. We assume the characteristic ≠ 2. The generalization of X is a nonsingular quartic surface Q in P3 : we wish to show in § 1 that there is an irreducible algebraic family of surfaces over the affine line, in which X is a member and in which Q is a general member. The specialization of X is a surface Y having a birational model which is a ramified double cover of a quadric cone in P3.

Earthquake-Resistant Construction and the Wrath of the "Earth-Shaker"

1987 ◽  
Vol 46 (2) ◽  
pp. 171-178 ◽  
Author(s):  
J. M. Driessen
Keyword(s):  
Bronze Age ◽  
Near East ◽  
Town Planning ◽  
The Earth ◽  
Construction Techniques ◽  
Earthquake Resistant ◽  
Partition Walls

The writer investigates possible anti-seismic construction techniques used in Minoan architecture on Bronze Age Crete. The frequency of earthquakes in the Aegean seems to imply the presence of such techniques. Starting by noting the methods still in use in Turkey and other dangerous areas, the writer looks at the practice of projections and setbacks, the near absence of windows, room dimensions, roof and floor construction, the presence of partition walls, the size and number of stories, town planning, the presence of cornices and ring beams, and other construction details which helped to improve the anti-seismic capability of Minoan houses. Attention is given to the location of houses and to the question of whether or not the Minoans used these methods consciously. The writer believes they did, not only because of the frequency of these earthquakes but also because of the religious connotations and the existence of an architectural koiné in earthquake-stricken areas in the ancient Mediterranean and Near East, in contrast with Egypt.

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