But in practical applications, the array dimension is large and hence efficient design of multidimensional array operation is an important research issue. In this paper, we propose a two dimensional representation of multidimensional array. The scheme converts an n dimensional array into a two ...
To relate these indices with the two-dimensional topological invariant w2 defined before, we define electric dipole moments pi = 1,2 and an electric quadrupole moment q12 for the unit cell as follows, $$\begin{array}{lcc}{p}_{x}\,\equiv\,\sum _{\begin{array}{c}i\in {\rm{occ...
hardware that allows three-dimensional (3D) array inputs for higher-dimensional MVM by simultaneously exploiting three DOFs, that is, space, wavelength and RF. The input data are a 3D array: $${X}_{3{\rm{D}}}=\left[{X}_{2{\rm{D}},{\lambda }_{1}}\,{X}_{2{\rm{D}},{\l...
society and economy. Higher education is interacting with an increased number and variety of communities and each of these has its particular demand on the higher education sector. This has resulted in new and revised relationships between higher education institutions (in short: universities) and the...
M Decramer,V De Bock,R Dom - 《American Journal of Respiratory & Critical Care Medicine》 被引量: 444发表: 1996年 Impact of 3-Dimensional Bifurcation Angle on 5-Year Outcome of Patients After Percutaneous Coronary Intervention for Left Main Coronary Artery Disease A Su... RESULTS: Of 266 ...
Within the three-dimensional (3D) nucleus, the two forms of chromatin are observed by microscopy to occupy spatially distinct regions (Politz et al., 2013) and are observed in high-throughput chromosome conformation capture (Hi-C) studies to preferentially self-associate into mutually exclusive ...
solitary-wave vortex in unstable without the OL. In the normalized form, the two-dimensional (2D) GPE with the negative atomic scattering length and square-OL potential is [3] iψ t +(1/2)∇ 2 ψ +|ψ| 2 ψ +ε [cos(2x) +cos(2y)] ψ = 0, (1) where ψ(x, y, t) is...
dimensional) can be reduced to a one‐dimensional integral and depends only on the norm of the vector wave number (k) rather than vector k. Noticed that I(ω,k) is a simpli ed frequency‐Bessel transform. For this reason, we will use I(ω,k) instead of I(ω,k) hereafter in this...
In simpler terms, it is a weighted graph that highlights the importance of certain connections in the overall brain activity patterns, particularly when considering topological structures like 1-dimensional cycles (see Methods for a formal definition). To assess the level of complexity of brain ...
In 2017, O’Keeffe et al.20 proposed a simple mathematical model of swarmalators where they move in the two-dimensional plane with Kuramoto-like oscillator dynamics. Five long-term collective states for position aggregation and phase synchronization, viz., static sync, static phase wave, ...