Raising and Lowering Indices

In mathematics, raising and lowering indices, informally known as "index gymnastics", is an operation on tensors to change their type, useful generally for manipulating indices in tensor expressions, in particular for mathematical physics.

Read more about Raising And Lowering Indices:  Tensor Type, Vectors (order-1 Tensors)

Famous quotes containing the words raising and/or lowering:

    One thinks of all the hands
    That are raising dingy shades
    In a thousand furnished rooms.
    —T.S. (Thomas Stearns)

    Science is a dynamic undertaking directed to lowering the degree of the empiricism involved in solving problems; or, if you prefer, science is a process of fabricating a web of interconnected concepts and conceptual schemes arising from experiments and observations and fruitful of further experiments and observations.
    James Conant (1893–1978)