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The value of λ for the logistic map at r = 4 can be calculated precisely, and its value is λ = log 2. Although a strict mathematical definition of chaos has not yet been unified, it can be shown that the logistic map with r = 4 is chaotic on [0, 1] according to one well-known definition of chaos. Graph of the invariant measure ρ(x) for r = 4.
A d–dimensional reflected Brownian motion Z is a stochastic process on + uniquely defined by . a d–dimensional drift vector μ; a d×d non-singular covariance matrix Σ and; a d×d reflection matrix R.
Early 20th-century English novelist E. M. Forster described plot as the cause-and-effect relationship between events in a story. According to Forster, "The king died, and then the queen died, is a story, while The king died, and then the queen died of grief, is a plot."
MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages. Although MATLAB is intended primarily for numeric computing, an optional toolbox uses the MuPAD symbolic engine allowing access to symbolic computing abilities.
In fiction, a subplot or side story is a strand of the plot that is a supporting side story for any story or for the main plot. Subplots may connect to main plots, in either time and place or thematic significance. Subplots often involve supporting characters, those besides the protagonist or antagonist. Subplots may also intertwine with the ...
Simulink is a MATLAB-based graphical programming environment for modeling, simulating and analyzing multidomain dynamical systems. Its primary interface is a graphical block diagramming tool and a customizable set of block libraries. It offers tight integration with the rest of the MATLAB environment and can either drive MATLAB or be scripted ...
MATLAB was created in the 1970s by Cleve Moler, who was chairman of the computer science department at the University of New Mexico at the time. It was a free tool for academics. Jack Little, who would eventually set up the company, came across the tool while he was a graduate student in electrical engineering at Stanford University.
GNU Octave is a scientific programming language for scientific computing and numerical computation.Octave helps in solving linear and nonlinear problems numerically, and for performing other numerical experiments using a language that is mostly compatible with MATLAB.