a他起的很晚,没能赶上火车。 He gets up very late, has not been able to catch up with the train. [translate] aOne thing to note is that all features still have the same core geometry types of point, multipoint, polyline, polygon and multipatch; an example of this is the annotation ...
d An example of a 3D unit cell inspired by the previous 2D unit cell is depicted. e, f Micro-scale 2D planar unit cell and 3D metamaterial fabricated by two-photon lithography 3D direct laser writing. The geometry parameters for 2D unit cell and 3D metamaterial are t1 = 4 μm,...
In this section, we consider numerical simulations of the linearised Euler-Poincaré equations and the associated dynamics of the perturbation vector field for the example of the Euler-Boussinesq (EB) equations given in Sect. 3.3. Simplifying to a 2D vertical domain, the incompresibility conditions...
Here we present an overview on the various works, in which many collaborators have contributed, regarding the interesting dipole of noncommutativity and ph
of multi-scale coarse-grained governing equations for chemical kinetics. The proposed surrogate’s architecture is structured as a tree, with leaf nodes representing separate neural operator blocks where physics is embedded in the form of multiple soft and hard constraints. The hierarchical attribute ...
In particular, every edge coloring of a triangle-free graph is a G-coloring. A less obvious example can be obtained by considering a labeling of the vertices of a graph of order n by 1,2,…,n and for all 1≤i<j≤n color the edge ij by color i. A basic remark of Erdős and...
The Figueroa planes are a family of non-translation planes tha... B Petrak - 《Journal of Geometry》 被引量: 6发表: 2010年 Automorphisms of Hilbert's non-desarguesian affine plane and its projective closure. projective planequadratic transformationHilbert constructed an early example of a non-...
Example of Non-Manifold Geometry – Using TransMagic Figure 2 – Non-Manifold Body Example This file consists of two cubes that were Boolean United along a single shared edge – resulting in ONE logical body. This is a simple yet effective illustration of a non-manifold body – where each ...
The set of topological lines in a non-topological QFT only forms a braided tensor category, but not necessarily a modular tensor category. Generally, there are other non-topological lines that have nontrivial correlation functions with the topological lines. For example, 2+1d QED with a charge ...
However, non-Hermitian matrices have recently attracted considerable attention because they can also yield real eigenvalues (for example, in the exact phase of a parity-time symmetric system)24,25. In nature, most systems incur losses, and hence, non-Hermitian systems are ubiquitous. The force ...