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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 .
Matplotlib (portmanteau of MATLAB, plot, and library [3]) is a plotting library for the Python programming language and its numerical mathematics extension NumPy.It provides an object-oriented API for embedding plots into applications using general-purpose GUI toolkits like Tkinter, wxPython, Qt, or GTK.
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 ...
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.
An example of a "bonus material" style inner story is the chapter "The Town Ho's Story" in Herman Melville's novel Moby-Dick; that chapter tells a fully formed story of an exciting mutiny and contains many plot ideas that Melville had conceived during the early stages of writing Moby-Dick—ideas originally intended to be used later in the ...
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.