the Hamel basis

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• Basis (linear algebra) — Basis vector redirects here. For basis vector in the context of crystals, see crystal structure. For a more general concept in physics, see frame of reference. In linear algebra, a basis is a set of linearly independent vectors that, in a linear… …   Wikipedia

• Schauder basis — In mathematics, a Schauder basis or countable basis is similar to the usual (Hamel) basis of a vector space; the difference is that Hamel bases use linear combinations that are finite sums, while for Schauder bases they may be infinite sums. This …   Wikipedia

• The Pied Piper of Hamelin — is a legend about the abduction of many children from the town of Hamelin ( Hameln ), Germany. Famous versions of the legend are given by the Brothers Grimm and, in English, by Robert Browning.PlotIn 1284, while the town of Hamelin was suffering… …   Wikipedia

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• Georg Hamel — Georg Karl Wilhelm Hamel (12 September 1877 ndash; 4 October 1954) was a German mathematician with interests in mechanics, the foundations of mathematics and function theory.Hamel was born in Düren, Rhenish Prussia. He studied at Aachen, Berlin,… …   Wikipedia

• Orthonormal basis — In mathematics, particularly linear algebra, an orthonormal basis for inner product space V with finite dimension is a basis for V whose vectors are orthonormal.[1][2][3] For example, the standard basis for a Euclidean space Rn is an orthonormal… …   Wikipedia

• Characterizations of the exponential function — In mathematics, the exponential function can be characterized in many ways. The following characterizations (definitions) are most common. This article discusses why each characterization makes sense, and why the characterizations are independent …   Wikipedia

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• Discontinuous linear map — In mathematics, linear maps form an important class of simple functions which preserve the algebraic structure of linear spaces and are often used as approximations to more general functions (see linear approximation). If the spaces involved are… …   Wikipedia