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These imprecise uses of the word regular are not to be confused with the notion of a regular topological space, which is rigorously defined. resp. (Respectively) A convention to shorten parallel expositions. "A (resp. B) [has some relationship to] X (resp. Y)" means that A [has some relationship to] X and also that B [has (the same ...
The Millennium Prize Problems are seven well-known complex mathematical problems selected by the Clay Mathematics Institute in 2000. The Clay Institute has pledged a US $1 million prize for the first correct solution to each problem.
In 2007, MIT OpenCourseWare introduced a site called Highlights for High School that indexes resources on the MIT OCW applicable to advanced high school study in biology, chemistry, calculus and physics in an effort to support US STEM education at the secondary school level. In 2011, MIT OpenCourseWare introduced the first of fifteen OCW ...
In mathematics and physics, the term generator or generating set may refer to any of a number of related concepts. The underlying concept in each case is that of a smaller set of objects, together with a set of operations that can be applied to it, that result in the creation of a larger collection of objects, called the generated set .
MIT Barker Engineering Library MIT Music Library. The library system of the Massachusetts Institute of Technology (MIT Libraries) covers all five academic schools comprising the university. The print and multimedia collections of the MIT Libraries include more than 5 million items, with over 3 million volumes of print material, 17,000 journal ...
The 5th roots of unity in the complex plane form a group under multiplication. Each non-identity element generates the group. In abstract algebra, a generating set of a group is a subset of the group set such that every element of the group can be expressed as a combination (under the group operation) of finitely many elements of the subset and their inverses.
The Miracle Octad Generator is a 4x6 array of combinations describing any point in 24-dimensional space. It preserves all of the symmetries and maximal subgroups of the Mathieu group M 24, namely the monad group, duad group, triad group, octad group, octern group, sextet group, trio group and duum group.
The Encyclopedic Dictionary of Mathematics is a translation of the Japanese Iwanami Sūgaku Jiten (岩波数学辞典).The editor of the first and second editions was Shokichi Iyanaga; the editor of the third edition was Kiyosi Itô; the fourth edition was edited by the Mathematical Society of Japan.