Original Space

Some articles on space, original space:

Affine Transformation - Representation - Augmented Matrix
... By appending the additional coordinate "1" to every vector, one essentially considers the space to be mapped as a subset of a space with an additional dimension ... In that space, the original space occupies the subset in which the additional coordinate is 1 ... Thus the origin of the original space can be found at (0,0.. ...
Complete Metric Space - Completion
... For any metric space M, one can construct a complete metric space M' (which is also denoted as ), which contains M as a dense subspace ... It has the following universal property if N is any complete metric space and f is any uniformly continuous function from M to N, then there exists a ... The space M' is determined up to isometry by this property, and is called the completion of M ...

Famous quotes containing the words space and/or original:

    Shall we now
    Contaminate our fingers with base bribes,
    And sell the mighty space of our large honors
    For so much trash as may be grasped thus?
    I had rather be a dog and bay the moon
    Than such a Roman.
    William Shakespeare (1564–1616)

    When we look back, the only things we cherish are those which in some way met our original want; the desire which formed in us in early youth, undirected, and of its own accord.
    Willa Cather (1873–1947)