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An algebra S^' which is part of a large algebra S and shares its properties.

A C^infty (infinitely differentiable) manifold is said to be a submanifold of a C^infty manifold M^' if M is a subset of M^' and the identity map of M into M^' is an ...

A p×q submatrix of an m×n matrix (with p<=m, q<=n) is a p×q matrix formed by taking a block of the entries of this size from the original matrix.

A module over a ring that is contained in and has the same addition as another module over the same ring.

If the Lexis ratio L<1, a set of trials are said to be subnormal.

L is a subnormal subgroup of H if there is a "normal series" (in the sense of Jordan-Hölder) from L to H.

A quantity which is subtracted from another (the minuend).

The relationship x succeeds (or follows) y is written x≻y. The relation x succeeds or is equal to y is written x>=y.

The set of elements belonging to one but not both of two given sets. It is therefore the union of the complement of A with respect to B and B with respect to A, and ...

A real-linear vector space H equipped with a symplectic form s.