Chain (algebraic Topology) - Integration On Chains

Integration On Chains

Integration is defined on chains by taking the linear combination of integrals over the simplices in the chain with coefficients typically integers. The set of all k-chains forms a group and the sequence of these groups is called a chain complex.

Read more about this topic:  Chain (algebraic Topology)

Famous quotes containing the words integration and/or chains:

    The more specific idea of evolution now reached is—a change from an indefinite, incoherent homogeneity to a definite, coherent heterogeneity, accompanying the dissipation of motion and integration of matter.
    Herbert Spencer (1820–1903)

    Lap me in soft Lydian airs,
    Married to immortal verse,
    Such as the meeting soul may pierce
    In notes with many a winding bout
    Of linked sweetness long drawn out,
    With wanton heed and giddy cunning,
    The melting voice through mazes running,
    Untwisting all the chains that tie
    The hidden soul of harmony;
    John Milton (1608–1674)