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[1] Elementary algebra, also known as high school algebra or college algebra, [2] encompasses the basic concepts of algebra. It is often contrasted with arithmetic : arithmetic deals with specified numbers , [ 3 ] whilst algebra introduces variables (quantities without fixed values).
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems.Classically, it studies zeros of multivariate polynomials; the modern approach generalizes this in a few different aspects.
Pre-algebra is a common name for a course taught in middle school mathematics in the United States, usually taught in the 6th, 7th, 8th, or 9th grade. [1] The main objective of it is to prepare students for the study of algebra. Usually, Algebra I is taught in the 8th or 9th grade. [2]
For example, the n-coloring problem can be stated as CSP of the algebra ({0, 1, ..., n−1}, ≠), i.e. an algebra with n elements and a single relation, inequality. The dichotomy conjecture (proved in April 2017) states that if A is a finite algebra, then CSP A is either P or NP-complete .
In mathematics, a geometric algebra (also known as a Clifford algebra) is an algebra that can represent and manipulate geometrical objects such as vectors. Geometric algebra is built out of two fundamental operations, addition and the geometric product. Multiplication of vectors results in higher-dimensional objects called multivectors ...
Practice sessions are held once a week throughout the year. In addition, members have the opportunity to compete for scholarships via the Annual Worcester Polytech Math Contest, the Olympiad, and the American High School Math Exam.
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