scholarly journals Affine lattice construction of spiral surfaces in frustrated Heisenberg models

2019 ◽  
Vol 100 (14) ◽  
Author(s):  
Péter Balla ◽  
Yasir Iqbal ◽  
Karlo Penc
2021 ◽  
Vol 82 (2) ◽  
Author(s):  
Sándor Radeleczki

AbstractG. Czédli proved that the blocks of any compatible tolerance T of a lattice L can be ordered in such a way that they form a lattice L/T called the factor lattice of L modulo T. Here we show that the Dedekind–MacNeille completion of the lattice L/T is isomorphic to the concept lattice of the context (L, L, R), where R stands for the reflexive weak ordered relation $$ \mathord {\le } \circ T$$ ≤ ∘ T . Weak ordered relations constitute the generalization of the ordered relations introduced by S. Valentini. Reflexive weak ordered relations can be characterized as compatible reflexive relations $$R\subseteq L^{2}$$ R ⊆ L 2 satisfying $$R=\ \mathord {\le } \circ R\circ \mathord {\le } $$ R = ≤ ∘ R ∘ ≤ .


1972 ◽  
Vol 5 (7) ◽  
pp. 2668-2692 ◽  
Author(s):  
Douglas S. Ritchie ◽  
Michael E. Fisher

1987 ◽  
Vol 2 (2) ◽  
pp. 87-91 ◽  
Author(s):  
Istvan HegedüS

A matrix method is presented for the calculation of bar forces in a single layer lattice cylinder composed of regular ring polygons and symmetrically arranged bracing bars. Substantial differences occur between the stress distribution in the lattice structure and that of the membrane cylinder under the same load. Therefore, a membrane cylinder cannot be considered as a replacement continuum for the lattice construction. The purpose of the paper is to draw attention to the danger in the utilisation, without due caution, of this analogy.


1998 ◽  
Vol 190 (3) ◽  
pp. 321-331 ◽  
Author(s):  
Abdelilah Benyoussef ◽  
Abdelrhani Boubekri ◽  
Hamid Ez-Zahraouy

1993 ◽  
Vol 48 (10) ◽  
pp. 7125-7133 ◽  
Author(s):  
A. J. van der Sijs

Author(s):  
Loubna Ouahid ◽  
M. A. Abdou ◽  
S. Owyed ◽  
A. M. Abdel-Baset ◽  
M. Inc

2018 ◽  
Vol 173 (5) ◽  
pp. 1369-1385 ◽  
Author(s):  
Jakob E. Björnberg ◽  
Daniel Ueltschi

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