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For these, the associated spin chain model gets twisted boundary conditions that depend on the length of the chain, but which are still integrable.
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Among these phases, the twisted grain boundary smectic A (TGBA∗) phase is, for the first time, found in a main-chain LC polymer.
Fold the twisted edge onto itself.
A novel homogenisation method for heterogeneous structures containing a twist symmetry by means of RVEs with twisted-periodic boundary conditions is introduced.
The main result expresses the index in terms of the usual Atiyah-Singer local contribution and an eta invariant of a twisted Dirac operator on the "boundary at infinity".
In these equations, μ is the distance of the excitatory surround from the position of presynaptic neuron, σexc is the width of the excitatory surround, | ⋅ | torus is a distance on the twisted torus that takes the boundaries of the torus into account and C is the synaptic profile shift.
First the governing differential equations of motion and the associated natural boundary conditions of a twisted Timoshenko beam undergoing free natural vibration are derived using Hamilton's principle.
But it is not only sick and twisted, not just about pushing the boundaries of taste and broadcastability – it's also beautiful.
Filaments are more likely to sever at boundaries between cofilin-bound (twisted) and unbound (untwisted) regions (Bobkov et al., 2006).
The statistics of the structure determination are presented in Supplementary Table 2 and the structures are shown in Figure 2A and B. Similar to F0, the F1 domain adopts a ubiquitin-like β-grasp fold composed of a twisted five-stranded β-sheet with boundaries β1 86 92, β2 95–102, β3 128–132, β4 171–174 and β5 190–194, an α-helix1 109–119 and a short helical turn 180 185.
The purpose of the paper is to establish the governing equations and the associated natural boundary conditions for a pre-twisted helical beam by variational principles and differential geometry.
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