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An example of the quantum jump method being used to approximate the density matrix of a two-level atom undergoing damped Rabi oscillations.The random jumps can clearly be seen in the top subplot, and the bottom subplot compares the fully simulated density matrix to the approximation obtained using the quantum jump method.
The stationary wavelet transform (SWT) [1] is a wavelet transform algorithm designed to overcome the lack of translation-invariance of the discrete wavelet transform (DWT). ). Translation-invariance is achieved by removing the downsamplers and upsamplers in the DWT and upsampling the filter coefficients by a factor of () in the th level of the alg
Force-directed graph drawing algorithms assign forces among the set of edges and the set of nodes of a graph drawing.Typically, spring-like attractive forces based on Hooke's law are used to attract pairs of endpoints of the graph's edges towards each other, while simultaneously repulsive forces like those of electrically charged particles based on Coulomb's law are used to separate all pairs ...
In the logistic map, r is a parameter, and x is a variable. It is a map in the sense that it maps a configuration or phase space to itself (in this simple case the space is one dimensional in the variable x)
For a given iterated function :, the plot consists of a diagonal (=) line and a curve representing = ().To plot the behaviour of a value , apply the following steps.. Find the point on the function curve with an x-coordinate of .
Multidimensional scaling (MDS) is a means of visualizing the level of similarity of individual cases of a data set. MDS is used to translate distances between each pair of objects in a set into a configuration of points mapped into an abstract Cartesian space.
Now looms another shot, with Detroit’s ability to contain Daniels a key subplot for the NFC divisional playoff game on Saturday night (8 p.m. ET, Fox) at Ford Field.
Automatic layout is an option in graph drawing toolkits that allow to lay out the Graph according to specific rules, [1] such as: reducing the length of the arcs between the Graph vertices reduce the number of edges crossing (to improve the graph readability)