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For example, X 1 X 2 does not equal X 2 X 1. More generally, one can construct the free algebra R E on any set E of generators. Since rings may be regarded as Z-algebras, a free ring on E can be defined as the free algebra Z E . Over a field, the free algebra on n indeterminates can be constructed as the tensor algebra on an n-dimensional ...
May 2010) (Learn how and when to remove this message) The Moore method is a deductive manner of instruction used in advanced mathematics courses. It is named after Robert Lee Moore , a famous topologist who first used a stronger version of the method at the University of Pennsylvania when he began teaching there in 1911.
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.
Macaulay2 is built around fast implementations of algorithms useful for computation in commutative algebra and algebraic geometry. This core functionality includes arithmetic on rings, modules, and matrices, as well as algorithms for Gröbner bases, free resolutions, Hilbert series, determinants and Pfaffians, factoring, and similar.
Microsoft Math Solver (formerly Microsoft Mathematics and Microsoft Math) is an entry-level educational app that solves math and science problems. Developed and maintained by Microsoft, it is primarily targeted at students as a learning tool. Until 2015, it ran on Microsoft Windows.
JRME is devoted to the interests of teachers of mathematics and mathematics education at all levels—preschool through adult. JRME is a forum for disciplined inquiry into the teaching and learning of mathematics. The editors encourage the submission of a variety of manuscripts: reports of research, including experiments, case studies, surveys ...
2 Peter 2 is the second chapter of the Second Epistle of Peter in the New Testament of the Christian Bible.The author identifies himself as "Simon Peter, a bondservant and apostle of Jesus Christ" and the epistle is traditionally attributed to Peter the Apostle, but some writers argue that it is the work of Peter's followers in Rome between the years 70 and 100.
Playing with Infinity presents a broad panorama of mathematics for a popular audience. It is divided into three parts, the first of which concerns counting, arithmetic, and connections from numbers to geometry both through visual proofs of results in arithmetic like the sum of finite arithmetic series, and in the other direction through counting problems for geometric objects like the ...
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