Results 31 to 40 of about 45,216 (263)

Exploring Structural Characteristics of Lattices in Real World

open access: yesComplexity, 2020
There are two important models for data analysis and knowledge system: data cube lattices and concept lattices. They both essentially have lattice structures, which are actually irregular in our real world.
Yu Chen   +5 more
doaj   +1 more source

On the analytical continuation of lattice Liouville theory

open access: yesJournal of High Energy Physics, 2023
The path integral of Liouville theory is well understood only when the central charge c ∈ [25, ∞). Here, we study the analytical continuation the lattice Liouville path integral to generic values of c, with a particular focus on the vicinity of c ...
Xiangyu Cao   +2 more
doaj   +1 more source

Flip paths between lattice triangulations

open access: yesDiscrete Applied Mathematics, 2023
We present a $O(n^{\frac{3}{2}})$-time algorithm for the \emph{shortest (diagonal) flip path problem} for \emph{lattice} triangulations with $n$ points, improving over previous $O(n^2)$-time algorithms. For a large, natural class of inputs, our bound is tight in the sense that our algorithm runs in time linear in the number of flips in the output flip ...
William Sims, Meera Sitharam
openaire   +3 more sources

Coxeter Lattice Paths

open access: yes, 2006
This talk concerns generating code for running computationally intensive numerical lattice QCD simulations on large parallel computers, using an approach based on the theory of Coxeter groups. Many physical systems have inherent symmetry, and this is usually implicit in the calculations needed to simulate them using discrete approximations, and thus in
Ashby, Thomas J.   +2 more
openaire   +4 more sources

Talmudic lattice path counting

open access: yesJournal of Combinatorial Theory, Series A, 1994
Consider all planar walks, with positive unit steps (1,0) and (0,1) from the origin (0,0) to a given point \((a,b)\). Let \(L\) be the line joining the beginning to the end. For \(i= 0,1,\dots, a+ b-1\), let \(W_ i\) be the set of walks with ``exactly'' \(i\) points above and ``exactly'' \(a+ b+ 1- i\) points below \(L\).
Jane Friedman   +2 more
openaire   +1 more source

Apollo: Adaptive Polar Lattice-Based Local Obstacle Avoidance and Motion Planning for Automated Vehicles

open access: yesSensors, 2023
The motion planning module is the core module of the automated vehicle software system, which plays a key role in connecting its preceding element, i.e., the sensing module, and its following element, i.e., the control module.
Yiqun Li   +4 more
doaj   +1 more source

Efficient and high-performance routing of lattice-surgery paths on three-dimensional lattice [PDF]

open access: yesQuantum
Encoding logical qubits with surface codes and performing multi-qubit logical operations with lattice surgery is one of the most promising approaches to demonstrate fault-tolerant quantum computing.
Kou Hamada   +2 more
doaj   +1 more source

Volumetric Lattice Boltzmann Models in General Curvilinear Coordinates: Theoretical Formulation

open access: yesFrontiers in Applied Mathematics and Statistics, 2021
A theoretical formulation of lattice Boltzmann models on a general curvilinear coordinate system is presented. It is based on a volumetric representation so that mass and momentum are exactly conserved as in the conventional lattice Boltzmann on a ...
Hudong Chen
doaj   +1 more source

Lattice structure design optimization coupling anisotropy and constraints of additive manufacturing

open access: yesMaterials & Design, 2020
Replacing solid structures with lattice structure is a way enabled by additive manufacturing (AM) to realize part lightweight design. Conventional design optimization method based on homogeneous periodic lattice structure cannot achieve the optimal ...
Yu Wang   +6 more
doaj   +1 more source

Site-Resolved Imaging of Ultracold Fermions in a Triangular-Lattice Quantum Gas Microscope

open access: yesPRX Quantum, 2021
Quantum gas microscopes have expanded the capabilities of quantum simulation of Hubbard models by enabling the study of spatial spin and density correlations in square lattices.
Jin Yang   +3 more
doaj   +1 more source

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