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:
“Look, were all the same; a man is a fourteen-room housein the bedroom hes asleep with his intelligent wife, in the living-room hes rolling around with some bareass girl, in the library hes paying his taxes, in the yard hes raising tomatoes, and in the cellar hes making a bomb to blow it all up.”
—Arthur Miller (b. 1915)
“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 (18931978)