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Over a field, the free algebra on n indeterminates can be constructed as the tensor algebra on an n-dimensional vector space. For a more general coefficient ring, the same construction works if we take the free module on n generators. The construction of the free algebra on E is functorial in nature and satisfies an appropriate universal property.
As of 2024, he has taught mathematics for over 16 years. [3] He began filming his classroom lessons in 2012 for a sick student who was absent from school. [ 7 ] His YouTube channel has over 1.79 million subscribers and more than 162.73 million views worldwide as of December 2023. [ 8 ]
Brilliant regularly contributes math and science puzzles to publications such as The New York Times, The Guardian, and FiveThirtyEight. [ 8 ] [ 9 ] [ 10 ] [ 1 ] [ 11 ] Brilliant has also been cited by The Atlantic as a catalyst of the "math revolution" - a surge in the number of American teens excelling at math.
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.
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.
Project Mathematics! (stylized as Project MATHEMATICS!), is a series of educational video modules and accompanying workbooks for teachers, developed at the California Institute of Technology to help teach basic principles of mathematics to high school students. [1] In 2017, the entire series of videos was made available on YouTube.
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