A Sub-linear Lattice-Based Submatrix Commitment Scheme

2021 ◽  
pp. 87-98
Author(s):  
Huang Lin
Keyword(s):  
Linear Lattice ◽  
Commitment Scheme

scholarly journals Zero-sum flows of the linear lattice

2015 ◽  
Vol 31 ◽  
pp. 108-120 ◽  
Author(s):  
Ghassan Sarkis ◽  
Shahriar Shahriari ◽  
PCURC
Keyword(s):  
Linear Lattice ◽  
Zero Sum

scholarly journals Time Dynamics of Solitons Photogenerated in Disordered Linear Lattice

2000 ◽  
Vol 138 ◽  
pp. 584-585 ◽  
Author(s):  
Yoshinori Tabata ◽  
Noritaka Kuroda
Keyword(s):  
Linear Lattice ◽  
Time Dynamics

Polarons on a one-dimensional non-linear lattice with two structural phases

1994 ◽  
Vol 6 (2) ◽  
pp. 421-430
Author(s):  
A D Mistriotis ◽  
E N Economou
Keyword(s):  
Linear Lattice ◽  
One Dimensional ◽  
Non Linear

Macroscopic imprints of ductile deformation

2021 ◽  
pp. 86-102
Author(s):  
Jean-Luc Bouchez ◽  
Adolphe Nicolas
Keyword(s):  
Plastic Deformation ◽  
Shear Strain ◽  
Sensu Stricto ◽  
Ductile Deformation ◽  
Structural Level ◽  
Linear Lattice ◽  
Crystalline Plasticity ◽  
Planar Structures ◽  
Heterogeneous Deformation ◽  
Folded Structures

The fundamentals of structural geology are presented, namely, folds, planar structures (cleavage or schistosity, foliation) and linear ones (lineations), regarded as emblematic for geologists. Ductile imprints of folds, affecting stratified formations, combined with brittle imprints, often remain modest in terms of strain intensity. Folding is essentially inhomogeneous and often results from the buckling (bending) of the layers (or stratification) as a consequence of layer parallel compression. Folded structures are frequently accompanied by fractures. Hence they may be classified as brittle–ductile. They are mostly encountered at low depths and constitute the upper structural level of the Earth’s crust. Ductile deformation sensu stricto appears at the lower structural level. The macroscopic aspects of ductile deformations and their implications will be examined. The principal operating mechanism, crystalline plasticity, represents the mechanical aspect of deformation, sometime assisted by chemical aspects (pressure-solution). While homogeneous deformation constitutes our principal concern, heterogeneous deformation is often present, particularly when examined at fine scales. At low shear strain (γ‎ < 0.7, or θ‎ ~35°, equivalent to ~30% shortening), plastic deformation generally leads to a planar and a linear anisotropy strengthening with increasing deformation. At higher shear strain, any pre-existing planar structure becomes so stretched that it cannot be recognized. The new structure may be purely planar, purely linear or plano-linear. Lattice fabrics, appearing in rocks subjected to plastic deformation and resulting from deformation mechanisms at the grain-scale, are examined in detail in Chapter 6.

CALCULATION OF NONLINEAR TUNE SHIFT USING BEAM POSITION MEASUREMENT RESULTS

2009 ◽  
Vol 24 (05) ◽  
pp. 974-986 ◽  
Author(s):  
PAVEL SNOPOK ◽  
MARTIN BERZ ◽  
CAROL JOHNSTONE
Keyword(s):  
Linear Optics ◽  
Position Measurement ◽  
Linear Lattice ◽  
Beam Position ◽  
Proposed Model ◽  
Measurement Results ◽  
Tune Shift ◽  
Form Transformation ◽  
Normal Form Transformation ◽  
Shift Calculation

The calculation of the nonlinear tune shift with amplitude based on the results of measurements and the linear lattice information is discussed. The tune shift is calculated based on a set of specific measurements and some extra information which is usually available, namely that about the size and particle distribution in the beam and the linear optics effect on the particles. The method to solve this problem uses the technique of normal form transformation. The proposed model for the nonlinear tune shift calculation is compared to both the numerical results for the nonlinear model of the Tevatron accelerator and the independent approximate formula for the tune shift by Meller et al. The proposed model shows a discrepancy of about 2%.

scholarly journals On the Vibration of Disordered Linear Lattice. III

1960 ◽  
Vol 23 (3) ◽  
pp. 475-489 ◽  
Author(s):  
Jun-ichi Hori
Keyword(s):  
Linear Lattice
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