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SymPy is an open-source Python library for symbolic computation.It provides computer algebra capabilities either as a standalone application, as a library to other applications, or live on the web as SymPy Live [2] or SymPy Gamma. [3]
A plot of the smoothstep(x) and smootherstep(x) functions, using 0 as the left edge and 1 as the right edgeSmoothstep is a family of sigmoid-like interpolation and clamping functions commonly used in computer graphics, [1] [2] video game engines, [3] and machine learning.
Either of these 3-cycles can be converted to fraction form: for example, the first-given 3-cycle can be written as 1 / 7 → 2 / 7 → 4 / 7 → 1 / 7 . Using the above translation from the bit-shift map to the = logistic map gives the corresponding logistic cycle 0.611260467... → 0.950484434... → 0.188255099 ...
4.6 May 2015: Free (Analytica Free 101), $995 (professional), $2795 (enterprise) Proprietary: A numerical modeling environment with a declarative and visual programming language based on influence diagrams. Ch: SoftIntegration 1 October 2001: 7.5.1 2 December 2015: $399 (commercial), $199 (academic), Free (student) Proprietary
MATLAB (an abbreviation of "MATrix LABoratory" [22]) is a proprietary multi-paradigm programming language and numeric computing environment developed by MathWorks.MATLAB allows matrix manipulations, plotting of functions and data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in other languages.
It provides a rich Excel-like user interface and its built-in vector programming language FPScript has a syntax similar to MATLAB. FreeMat, an open-source MATLAB-like environment with a GPL license. GNU Octave is a high-level language, primarily intended for numerical computations. It provides a convenient command-line interface for solving ...
Some other programming languages have varying case sensitivity; in PHP, for example, variable names are case-sensitive but function names are not case-sensitive. This means that if a function is defined in lowercase, it can be called in uppercase, but if a variable is defined in lowercase, it cannot be referred to in uppercase.
For example, 2 passes of the filter with coefficients (1/3, 1/3, 1/3) is equivalent to 1 pass of the filter with coefficients (1/9, 2/9, 3/9, 2/9, 1/9). The disadvantage of multipassing is that the equivalent filter width for n {\displaystyle n} passes of an m {\displaystyle m} –point function is n ( m − 1 ) + 1 {\displaystyle n(m-1)+1} so ...