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Search Results: Algebra

The branch of mathematics dealing with the solution of equations. These equations involve unknowns, or variables, along with fixed numbers from a...
Algebra (in 'Group theory' article)
Here, the basic idea is to associate a group (the so-called Galois group, named after the mathematician E. Galois) with algebraic equation (6) in 6 su
Applications to algebra and geometry (in 'Lattice (mathematics)' article)
Lattices, like groups and rings, can be defined as abstract algebras, that is, as systems of elements combined by universally defined operations. The
Lie algebra (in 'Lie group' article)
Let G be a Lie group. The identity component of G is an open subset of G and is a smooth manifold. Thus it makes sense to speak of tangent spaces.
Multilinear algebra and tensors (in 'Linear algebra' article)
Linear algebra is generally regarded as including also multilinear algebra, the basic notion of which is that of a bilinear mapping of the pair of vec


= Encyclopedia Article; = Research Update
Figure 1.Representations of number systems. (a) Of real numbers on a number line. (b) Of complex numbers on a two-dimensional plane.
From Encyclopedia article 'Algebra'
Figure 2.Representation of relations by graphs. (a) Graphic depiction of an ordered pair (a, b) given by an equation. (b) Graph of the function f(x) =x2+ 3.
From Encyclopedia article 'Algebra'
Figure 3.Graphs of the relations described by the equations (a) y= 2x2- 4x+ 5 and (b) y2=x- 1. The vertical-line test shows that the first relation is a function while the second is not.
From Encyclopedia article 'Algebra'
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