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  2. Epsilon calculus - Wikipedia

    en.wikipedia.org/wiki/Epsilon_calculus

    The epsilon operator and epsilon substitution method are typically applied to a first-order predicate calculus, followed by a demonstration of consistency. The epsilon-extended calculus is further extended and generalized to cover those mathematical objects, classes, and categories for which there is a desire to show consistency, building on ...

  3. List of open-source software for mathematics - Wikipedia

    en.wikipedia.org/wiki/List_of_open-source...

    SageMath is designed partially as a free alternative to the general-purpose mathematics products Maple and MATLAB. It can be downloaded or used through a web site. SageMath comprises a variety of other free packages, with a common interface and language. SageMath is developed in Python.

  4. Calculus Made Easy - Wikipedia

    en.wikipedia.org/wiki/Calculus_Made_Easy

    Calculus Made Easy ignores the use of limits with its epsilon-delta definition, replacing it with a method of approximating (to arbitrary precision) directly to the correct answer in the infinitesimal spirit of Leibniz, now formally justified in modern nonstandard analysis and smooth infinitesimal analysis.

  5. Greek letters used in mathematics, science, and engineering

    en.wikipedia.org/wiki/Greek_letters_used_in...

    a variation in the calculus of variations; the Kronecker delta function [3] the Feigenbaum constants [4] the force of interest in mathematical finance; the Dirac delta function [5] the receptor which enkephalins have the highest affinity for in pharmacology [6] the Skorokhod integral in Malliavin calculus, a subfield of stochastic analysis

  6. Calculus on Euclidean space - Wikipedia

    en.wikipedia.org/wiki/Calculus_on_Euclidean_space

    This calculus is also known as advanced calculus, especially in the United States. It is similar to multivariable calculus but is somewhat more sophisticated in that it uses linear algebra (or some functional analysis) more extensively and covers some concepts from differential geometry such as differential forms and Stokes' formula in terms of ...

  7. Levi-Civita symbol - Wikipedia

    en.wikipedia.org/wiki/Levi-Civita_symbol

    The standard letters to denote the Levi-Civita symbol are the Greek lower case epsilon ε or ϵ, or less commonly the Latin lower case e. Index notation allows one to display permutations in a way compatible with tensor analysis: ε i 1 i 2 … i n {\displaystyle \varepsilon _{i_{1}i_{2}\dots i_{n}}} where each index i 1 , i 2 , ..., i n takes ...

  8. Nonstandard calculus - Wikipedia

    en.wikipedia.org/wiki/Nonstandard_calculus

    In mathematics, nonstandard calculus is the modern application of infinitesimals, in the sense of nonstandard analysis, to infinitesimal calculus. It provides a rigorous justification for some arguments in calculus that were previously considered merely heuristic .

  9. Mathcad - Wikipedia

    en.wikipedia.org/wiki/Mathcad

    As of 2024, the latest release from PTC is Mathcad Prime 10.0.0.0. This release is a freemium variant: if the software is not activated after a Mathcad Prime 30-day trial, it is possible to continue using PTC Mathcad Express for an unlimited time as "PTC Mathcad Express Free-for-Life Engineering Calculations Software". This freemium pilot is a ...

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