The first set consists of the vector projections of the angular velocity on the eigenvectors of the inertia tensor, the second one is based on the angular velocity and moment of momentum vectors. Vector analogues of the dynamic Euler equations are obtained for the considered variables. The ...
Two sets of vector variables for the analysis of rotational motions of a rigid body are presented. The first set consists of the vector projections of the angular velocity on the eigenvectors of the inertia tensor, the second one is based on the angular velocity and moment of momentum vectors...
To elucidate the slow recovery dynamics in Na2Co2TeO6and its relation to the low-energy spin structure, we simulate the spin-1/2 Kitaev-Heisenberg Hamiltonian to describe the microscopic states of Na2Co2TeO661,62. This model captures the superexchange between each Co atom in a hexagonal structur...
Use a transform datastore to parallelize the feature extraction. Extract wavelet feature vectors for the train and test sets. Get scatteringTrain = transform(adsTrain,@(x)HelperWaveletFeatureVector(x,sf)); xTrain = readall(scatteringTrain,UseParallel=canUseParallelPool); xTrain = (reshape(x...
Finally, surface tension effects need to be included in the model. The thick black arrows in the picture show the directions of the gradient of the color function. The curvature of the bubble interface between these arrows is defined by the angle between the vectors. This curvature has a ...
In addition to the methods of direct measuring, other approaches have been developed to model and predict RBP binding. Traditionally, position-weight-matrices have been used to describe RBP binding determinants and to predict RBP binding targets from RNA sequences.14Machine learning methods that integ...
Here ωa/c and ωb/c correspond to the projections of the wavevectors along the crystal length, where c is a speed of light. These operators obey boson commutation relations \(\left[ {a\left( \omega \right),a\left( {\omega ^\prime } \right)} \right] = \left[ {b\left( \...
In order to prevent the network from predicting large weights, this work proposes to apply a tanh activation layer to the predicted weights. As a result of having two neighbourhoods, each node will have two possible feature vectors, one for the Euclidean Neighbourhood and another one for the ...
To fully understand how the changes in surface roughness would impact coupled surface exchanges, we also describe the turbulent momentum and heat flux calculations in CICE. It is important to note that the treatment of turbulent transfer in CESM2, as well as other Earth system models, is much ...
Also, for GNNs \psi is a mapping from vertices to feature-vectors. Many GNN implementations, including the ones used in experiments here, assume the graph to be undirected and ignore the edge-labelling in \epsilon Full size image 2.1 General working principle of GNNs Let G = (V,E,\sigma...