Minimal generation of basic semi-algebraic sets over an arbitrary ordered field

2006 ◽  
pp. 346-353
Author(s):  
M. Marshall ◽  
L. Walter
Keyword(s):  
Algebraic Sets ◽  
Ordered Field ◽  
Minimal Generation

Affine algebraic sets relative to an algebraic theory

1999 ◽  
Vol 65 (1-2) ◽  
pp. 54-76 ◽  
Author(s):  
Yves Diers
Keyword(s):  
Algebraic Theory ◽  
Algebraic Sets

Some Linear Minimax Problems Over an Ordered Field

1955 ◽  
Vol 77 (3) ◽  
pp. 541
Author(s):  
R. J. Levit
Keyword(s):  
Minimax Problems ◽  
Ordered Field

Points near real algebraic sets

2014 ◽  
Vol 142 (12) ◽  
pp. 4127-4132
Author(s):  
W. M. Schmidt ◽  
U. Zannier
Keyword(s):  
Algebraic Sets

Iteration of polynomial mappings on algebraic sets

2000 ◽  
Vol 43 (2) ◽  
pp. 187-197
Author(s):  
Marta Kosek
Keyword(s):  
Algebraic Sets ◽  
Polynomial Mappings

Coordinate Groups of Irreducible Algebraic Sets Over Divisible Metabelian r-Groups

2021 ◽  
Vol 60 (2) ◽  
pp. 115-127
Author(s):  
N. S. Romanovskii
Keyword(s):  
Algebraic Sets

Scale, Landscape and Indigenous Bedouin Land Use: Spatial Order and Agricultural Sedentarisation in the Negev Highland

2021 ◽  
Vol 25 (1) ◽  
pp. 4-35
Author(s):  
Ariel Meraiot ◽  
Avinoam Meir ◽  
Steve Rosen
Keyword(s):  
Large Scale ◽  
Small Scale ◽  
Scale Analysis ◽  
Structure Development ◽  
British Mandate ◽  
Field Surveys ◽  
Ordered Field ◽  
Modern Period ◽  
Ordered Space ◽  
Sustainable Planning

By taking a small-scale perspective, Bedouin pastoral space in the Israeli Negev in the modern period has been misinterpreted as chaotic by various Israeli institutions. In critiquing this ontology we suggest that a knowledge gap with regard to an appropriate scale of understanding Bedouin settlement patterns and mechanisms of sedentarisation is at its root, and that a larger-scale analysis indicates that their space is in fact highly ordered. Field surveys and interviews with the local Bedouin showed that household cultivation plots in the Negev Highland during the period of the British Mandate were organised at a large scale through natural and man-made landscape features reflecting their structure, development and deployment in a highly ordered space. This analysis carries significant implications for understanding pastoral spaces at the local scale, particularly offering better comprehension of various sedentary forms and suggesting new approaches to sustainable planning and development for the Bedouin.

The Moment Problem on Compact Semi-Algebraic Sets

2017 ◽  
pp. 283-313
Author(s):  
Konrad Schmüdgen
Keyword(s):  
Moment Problem ◽  
Algebraic Sets ◽  
The Moment

Making the hyperreal line both saturated and complete

1991 ◽  
Vol 56 (3) ◽  
pp. 1016-1025 ◽  
Author(s):  
H. Jerome Keisler ◽  
James H. Schmerl
Keyword(s):  
Set Theory ◽  
Nonempty Intersection ◽  
Finite Intersection ◽  
Second Order Arithmetic ◽  
Ordered Field ◽  
Finite Intersection Property ◽  
Regular Cardinals ◽  
Hyperreal Numbers ◽  
Order Arithmetic ◽  
Internal Sets

AbstractIn a nonstandard universe, the κ-saturation property states that any family of fewer than κ internal sets with the finite intersection property has a nonempty intersection. An ordered field F is said to have the λ-Bolzano-Weierstrass property iff F has cofinality λ and every bounded λ-sequence in F has a convergent λ-subsequence. We show that if κ < λ are uncountable regular cardinals and βα < λ whenever α < κ and β < λ then there is a κ-saturated nonstandard universe in which the hyperreal numbers have the λ-Bolzano-Weierstrass property. The result also applies to certain fragments of set theory and second order arithmetic.

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