Examples show how varying the metric outside its uniform class can vary both quantities. The natural extension of Adler--Konheim--McAndrew's original (metric-free) definition of topological entropy beyond compact spaces dominates these other notions, and is unfortunately infinite for a great number ...
Nonequilibrium statistical mechanics exhibit a variety of complex phenomena far from equilibrium. It inherits challenges of equilibrium, including accurately describing the joint distribution of a large number of configurations, and also poses new challe
e-i-ii Representative cells of MSR-1 ΔmamKY mutant showing examples of a short chain, cluster (e-i), and ring-shaped chain (e-ii); (e-iii) TEM micrograph of MSR ΔmamKY::mamK[G2-11] mutant showing the complemented phenotype; e-iv distribution of cells with different phenotypes in...
Examples of such opinions are... J Lorenz - 《Physics》 被引量: 55发表: 2007年 Percolation in 1+1 dimensions at the uniqueness threshold For independent density p site percolation on the (transitive non-amenable) graph T b × ℤ, where T b is a homogeneous tree of degree b + 1, ...
The ubiquity of the nonlocal operator in applications is illustrated by a number of examples ranging from continuum mechanics to graph theory. In particular, it is shown that fractional Laplacian and fractional derivative models for anomalous diffusion are special cases of the nonlocal model for ...
Finally, notice that the bottom graph shows that the reproduction number of the population is a decreasing function of the quarantine parameter. Table 3. Table of the parameter values of the stochastic model investigated in this work, which have been used in the computer simulations (see [10])...
More recent examples can be found in the works listed in the references section. Recall that the p -adic absolute value | |p on the rational number ?eld Q is de?ned as follows. If x ∈ Q is written pk a/b, where p is a prime, k is an integer, and a and b are integers ...
The following diagram summarizes various characterizations of bounded closed convex sets L1(M,τ) for the case where (M,τ) is a finite von Neumann algebra, in terms of properties of generalized Yosida–Hewitt projections: Various examples were provided in [18] to show that, even in commutative...
Instead, in the following examples, we used external magnetic-field values as training parameters directly without simulating magnets on top. This increases the degrees of freedom to ~ 16000 continuous variables, resulting in much better performance at the same computational expense. The automatized ...
Larger field of view examples such as the Office Scene in the result section require two spatial sections (L = 2). The reconstruction of a larger field of view scenario using one spatial section will have a vignetting effect as if this virtual imaging system had a poor imaging quality ...