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In mathematics, an alternating algebra is a Z-graded algebra for which xy = (−1) deg(x)deg(y) yx for all nonzero homogeneous elements x and y (i.e. it is an anticommutative algebra) and has the further property that x 2 = 0 for every homogeneous element x of odd degree.
Alternative algebras are so named because they are the algebras for which the associator is alternating.The associator is a trilinear map given by [,,] = ().By definition, a multilinear map is alternating if it vanishes whenever two of its arguments are equal.
Octave (aka GNU Octave) is an alternative to MATLAB. Originally conceived in 1988 by John W. Eaton as a companion software for an undergraduate textbook, Eaton later opted to modify it into a more flexible tool. Development began in 1992 and the alpha version was released in 1993. Subsequently, version 1.0 was released a year after that in 1994.
Grade skipping is a form of academic acceleration, [1] often used for academically talented students, that enables the student to skip entirely the curriculum of one or more years of school. Grade skipping allows students to learn at an appropriate level for their cognitive abilities, and is normally seen in schools that group students ...
This is a list of notable theorems.Lists of theorems and similar statements include: List of algebras; List of algorithms; List of axioms; List of conjectures
Additionally, many schools add .33 for a plus (+) grade and subtract .33 for a minus (−) grade. Thus, a B+ yields a 3.33 whereas an A− yields a 3.67. [ 18 ] A-plusses, if given, are usually assigned a value of 4.0 (equivalent to an A) due to the common assumption that a 4.00 is the best possible grade-point average, although 4.33 is awarded ...
German mathematician Carl Friedrich Gauss said, "Mathematics is the queen of the sciences—and number theory is the queen of mathematics." Number theory also studies the natural, or whole, numbers. One of the central concepts in number theory is that of the prime number , and there are many questions about primes that appear simple but whose ...
The Centre for Education in Mathematics and Computing (CEMC) based out of the University of Waterloo hosts long-standing national competitions for grade levels 7–12 [2] [3] MathChallengers (formerly MathCounts BC) — for eighth, ninth, and tenth grade students