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Wolfram Mathematica is a software system with built-in libraries for several areas of technical computing that allows machine learning, statistics, symbolic computation, data manipulation, network analysis, time series analysis, NLP, optimization, plotting functions and various types of data, implementation of algorithms, creation of user interfaces, and interfacing with programs written in ...
Given a system transforming a set of inputs to output values, described by a mathematical function f, optimization refers to the generation and selection of the best solution from some set of available alternatives, [1] by systematically choosing input values from within an allowed set, computing the value of the function, and recording the best value found during the process.
Mathematica [6] General purpose computation software. Wolfram Research: 14.2.0 (January 23, 2025; 8 days ago (7] Regularly: Proprietary: Linux, Mac OS X, Windows, Raspbian, Online service. MATLAB Partial Differential Equation Toolbox: MATLAB Toolbox for solving structural, thermal, electromagnetics, and other general PDEs: MathWorks
IPE Graphics with LaTeX equations or notations can be stored as PDF files (not only exported to PDF) and be included in LaTeX documents. pdftoipe allows any PDF graph to be edited in Ipe. JFreeChart: GUI, Java, Groovy: LGPL: Yes 2000: November 5, 2017 / 1.5.0: Any : JMP: GUI, scripting: proprietary: No 1989: March 9, 2021 / 16.0: Mac, Windows
Figure 1. Probabilistic parameters of a hidden Markov model (example) X — states y — possible observations a — state transition probabilities b — output probabilities. In its discrete form, a hidden Markov process can be visualized as a generalization of the urn problem with replacement (where each item from the urn is returned to the original urn before the next step). [7]
Principal component analysis (PCA) is a linear dimensionality reduction technique with applications in exploratory data analysis, visualization and data preprocessing.. The data is linearly transformed onto a new coordinate system such that the directions (principal components) capturing the largest variation in the data can be easily identified.
The apparent plural form in English goes back to the Latin neuter plural mathematica , based on the Greek plural ta mathēmatiká (τὰ μαθηματικά) and means roughly "all things mathematical", although it is plausible that English borrowed only the adjective mathematic(al) and formed the noun mathematics anew, after the pattern of ...
Bertrand Russell and Alfred North Whitehead in their Principia Mathematica (1910–1913) use the word "matrix" in the context of their axiom of reducibility. They proposed this axiom as a means to reduce any function to one of lower type, successively, so that at the "bottom" (0 order) the function is identical to its extension : [ 118 ]