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Given real numbers x and y, integers m and n and the set of integers, floor and ceiling may be defined by the equations ⌊ ⌋ = {}, ⌈ ⌉ = {}. Since there is exactly one integer in a half-open interval of length one, for any real number x, there are unique integers m and n satisfying the equation
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.
Live Geometry is a free CodePlex project that lets you create interactive ruler and compass constructions and experiment with them. It is written in Silverlight 4 and C# 4.0 (Visual Studio 2010). The core engine is a flexible and extensible framework that allows easy addition of new figure types and features.
SMath Studio is a freeware (free of charge, but not libre), closed-source, mathematical notebook program similar to Mathcad. It is available for Windows, Linux, iOS, Android, Universal Windows Platform, and on some handhelds. Among its capabilities are: Solving differential equations; Graphing functions in two or three dimensions;
Symbolab is an answer engine [1] that provides step-by-step solutions to mathematical problems in a range of subjects. [2] It was originally developed by Israeli start-up company EqsQuest Ltd., under whom it was released for public use in 2011. In 2020, the company was acquired by American educational technology website Course Hero. [3] [4]
The 9-person Symbolab team, based in Tel Aviv, will join Course Hero . The platforms will live under independent branding for the near future, according to Andrew Grauer, CEO of Course Hero.
13 June 2024 [10] Free GNU GPL [11] Specialized CAS for group theory and combinatorics. GeoGebra CAS: Markus Hohenwarter et al. 2013 6.0.753.0: 3 January 2023: Free for non-commercial use [12] Freeware [12] Web-based or Desktop CAS Calculator GiNaC: Christian Bauer, Alexander Frink, Richard B. Kreckel, et al. 1999 1999 1.8.3: 23 March 2022 ...
Both binaries and source code are available for SageMath from the download page. If SageMath is built from source code, many of the included libraries such as OpenBLAS, FLINT, GAP (computer algebra system), and NTL will be tuned and optimized for that computer, taking into account the number of processors, the size of their caches, whether there is hardware support for SSE instructions, etc.