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to squaring is quadratic. The square of an integer may also be called a square number or a perfect square. In algebra, the operation of squaring is often... |
an algebra; for instance, associative algebras are algebras with an associate vector product (like the algebra of square matrices, or the algebra of polynomials)... |
Quaternion (redirect from Square roots of quaternions) also Euclidean Hurwitz algebras, of which the quaternions are the largest associative algebra (and hence the largest ring). Further extending the quaternions... |
mathematics, a Clifford algebra is an algebra generated by a vector space with a quadratic form, and is a unital associative algebra with the additional structure... |
mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables... |
possibilities. Such algebras, sometimes called Hurwitz algebras, are examples of composition algebras. The theory of composition algebras has subsequently... |
mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures. Algebraic structures include groups, rings... |
Matrix (mathematics) (redirect from Square (matrix)) matrices related to linear algebra, and, unless otherwise specified, all matrices represent linear maps or may be viewed as such. Square matrices, matrices with... |
In mathematics, the exterior algebra or Grassmann algebra of a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle... |
areas of mathematics a central simple algebra (CSA) over a field K is a finite-dimensional associative K-algebra A which is simple, and for which the center... |
Imaginary unit (redirect from Square root of minus one) (see Algebraic closure and Fundamental theorem of algebra). Here, the term "imaginary" is used because there is no real number having a negative square. There... |
In linear algebra, the rank of a matrix A is the dimension of the vector space generated (or spanned) by its columns. This corresponds to the maximal... |
uniformities manifolds atlases charts Linear algebra scalars, vectors, matrices, tensors Abstract algebra groups rings, modules fields, vector spaces group-theoretic... |
algebra (also known as a Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is... |
Al-Khwarizmi (section Algebra) equations. One of his achievements in algebra was his demonstration of how to solve quadratic equations by completing the square, for which he provided geometric... |
Cayley–Dickson construction (redirect from Cayley-Dickson algebra) produces a sequence of algebras over the field of real numbers, each with twice the dimension of the previous one. The algebras produced by this process... |
Irrational number (section Algebraic) the algebra he used could not be applied to the square root of 17. Geometrical and mathematical problems involving irrational numbers such as square roots... |
Spinor (section Exterior algebra construction) vector bundles – in the case of the exterior algebra bundle of the cotangent bundle, they thus become "square roots" of differential forms). It is also possible... |
In order theory, a field of mathematics, an incidence algebra is an associative algebra, defined for every locally finite partially ordered set and commutative... |
Hypercomplex number (redirect from Hypercomplex algebra) number is a traditional term for an element of a finite-dimensional unital algebra over the field of real numbers. The study of hypercomplex numbers in the... |