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<span class="mw-page-title-main">Lie group</span> Group that is also a differentiable manifold with group operations that are smooth

In mathematics, a Lie group is a group that is also a differentiable manifold, such that group multiplication and taking inverses are both differentiable.

<span class="mw-page-title-main">Gram–Schmidt process</span> Orthonormalization of a set of vectors

In mathematics, particularly linear algebra and numerical analysis, the Gram–Schmidt process or Gram-Schmidt algorithm is a way of finding a set of two or more vectors that are perpendicular to each other.

<span class="mw-page-title-main">Orthogonality</span> Various meanings of the terms

In mathematics, orthogonality is the generalization of the geometric notion of perpendicularity.

<span class="mw-page-title-main">Boston Symphony Orchestra</span> American symphony orchestra in Boston

The Boston Symphony Orchestra (BSO) is an American orchestra based in Boston. It is the second-oldest of the five major American symphony orchestras commonly referred to as the "Big Five". Founded by Henry Lee Higginson in 1881, the BSO performs most of its concerts at Boston's Symphony Hall and in the summer performs at Tanglewood.

<span class="mw-page-title-main">Bournemouth Symphony Orchestra</span> English orchestra with a remit to serve the South and South West of England

The Bournemouth Symphony Orchestra (BSO) is an English orchestra, founded in 1893 and originally based in Bournemouth. With a remit to serve the South and South West of England, the BSO is administratively based in the adjacent town of Poole, since 1979. The orchestra is resident at Lighthouse in Poole, with other major concert series given at Portsmouth Guildhall, the Great Hall of Exeter University and Bristol Beacon. Shorter series are also given in Bournemouth and Basingstoke.

<span class="mw-page-title-main">Unitary group</span> Group of unitary matrices

In mathematics, the unitary group of degree n, denoted U(n), is the group of n × n unitary matrices, with the group operation of matrix multiplication. The unitary group is a subgroup of the general linear group GL(n, C), and it has as a subgroup the special unitary group, consisting of those unitary matrices with determinant 1.

SSC may refer to:

Bo or BO may refer to

<span class="mw-page-title-main">Seiji Ozawa</span> Japanese conductor (1935–2024)

Seiji Ozawa was a Japanese conductor known internationally for his work as music director of the Toronto Symphony Orchestra, the San Francisco Symphony, and especially the Boston Symphony Orchestra (BSO), where he served from 1973 for 29 years. After conducting the Vienna New Year's Concert in 2002, he was director of the Vienna State Opera until 2010. In Japan, he founded the Saito Kinen Orchestra in 1984, their festival in 1992, and the Tokyo Opera Nomori in 2005.

BU, Bu and variations may refer to:

BSU may refer to:

<span class="mw-page-title-main">Projection (linear algebra)</span> Idempotent linear transformation from a vector space to itself

In linear algebra and functional analysis, a projection is a linear transformation from a vector space to itself such that . That is, whenever is applied twice to any vector, it gives the same result as if it were applied once. It leaves its image unchanged. This definition of "projection" formalizes and generalizes the idea of graphical projection. One can also consider the effect of a projection on a geometrical object by examining the effect of the projection on points in the object.

<span class="mw-page-title-main">Compact group</span> Topological group with compact topology

In mathematics, a compact (topological) group is a topological group whose topology realizes it as a compact topological space. Compact groups are a natural generalization of finite groups with the discrete topology and have properties that carry over in significant fashion. Compact groups have a well-understood theory, in relation to group actions and representation theory.

In mathematics, the Bott periodicity theorem describes a periodicity in the homotopy groups of classical groups, discovered by Raoul Bott, which proved to be of foundational significance for much further research, in particular in K-theory of stable complex vector bundles, as well as the stable homotopy groups of spheres. Bott periodicity can be formulated in numerous ways, with the periodicity in question always appearing as a period-2 phenomenon, with respect to dimension, for the theory associated to the unitary group. See for example topological K-theory.

In projective geometry and linear algebra, the projective orthogonal group PO is the induced action of the orthogonal group of a quadratic space V = (V,Q) on the associated projective space P(V). Explicitly, the projective orthogonal group is the quotient group

<span class="mw-page-title-main">Point reflection</span> Geometric symmetry operation

In geometry, a point reflection is a transformation of affine space in which every point is reflected across a specific fixed point. When dealing with crystal structures and in the physical sciences the terms inversion symmetry, inversion center or centrosymmetric are more commonly used.

The Bloomington Symphony Orchestra (BSO) was founded in 1963 by the City of Bloomington, Minnesota, United States. The orchestra was created to provide Bloomington's citizens with classical orchestral music and to create an outlet where area instrumentalists could develop their musical abilities.

Special functions are particular mathematical functions that have more or less established names and notations due to their importance in mathematical analysis, functional analysis, geometry, physics, or other applications.

In mathematics, and in particular representation theory, Frobenius reciprocity is a theorem expressing a duality between the process of restricting and inducting. It can be used to leverage knowledge about representations of a subgroup to find and classify representations of "large" groups that contain them. It is named for Ferdinand Georg Frobenius, the inventor of the representation theory of finite groups.

In mathematics, the classifying spacefor the special orthogonal group is the base space of the universal principal bundle . This means that principal bundles over a CW complex up to isomorphism are in bijection with homotopy classes of its continuous maps into . The isomorphism is given by pullback.