one realizes that much more than the length of one single curve can go to zero, since entire parts of the network can vanish as. In order to keep track of the complexity of the network we introduce the notion of underlying graphG. ...
natural philosophy,physics- the science of matter and energy and their interactions; "his favorite subject was physics" modulus- (physics) a coefficient that expresses how much of a specified property is possessed by a specified substance
When the crack extends still further, the elastic energy term becomes constant with crack length and then the force is independent of elasticity, giving a direct linkage between force and molecular adhesion, corresponding to the Rivlin peel equation F = Wb, which leads to a still smaller ...
They include results of the application of their technique to clinical data; however, no in-depth analysis of the presented energy functional is presented. Berkels et al. studied 2D–3D surface registration, where graph representations of cortical surfaces had to be matched to 2D brain images. ...
We treat each energy-minimized configuration as a node in a graph, and an edge between two nodes is the similarity between the two configurations defined by the MNADM. The hierarchical clustering method is applied to cluster the configurations into groups. Each group corresponds to a metastable ...
MethodEquationParameters usedR2AARD % E/v BI=Ev E and v 0.994 46.65 Sharma & Chopra Refer to (Sharma and Chopra, 2012) E and ρ 0.83 12.28 Grieser & Bray Refer to (Grieser and Bray, 2007) E, v, vmax and vmin, and Emax and Emin 0.919 18.03 Richman et al. Refer to (Rickman et...
order to maintain a force field of short range (r0), that excludes interactions between potential domains. ParameterChas been chosen arbitrarily, as 47.400 kJ × mol−1nm−2at temperature 300K, to ensure compatibility with theAmber 94forcefield. Amplitudes ofdi,jare defined with an equation ...
We then sample the NeRF at |S| points {r(s) ∈ R3}s∈S along the ray, and use a volumetric rendering equation to accu- mulate the samples front-to-back via weighted averaging: c˜ = s∈S αsc(r(s)) (i.e., alpha blending with alpha val- ues {αs ∈ R}s derived from ...
The x-axis of this graph is the reduced energy \(\epsilon\), which measures the collision energy \(E\) relative to the position of the resonance \({E}_{{{\rm{res}}}\) in units of its half-width \(\Gamma\)/2. The width \(\Gamma\), which is inversely proportional to the lif...
section of mud log data which shows the lithology across the drilled well. Figure12presents the graphical mud log data for Well Number 350 in the Asmari Formation of the Marun oilfield. The data represents the lithology, depth, and penetration rate (ROP) along the wellbore. The graph shows:...