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:
“Every epoch which seeks renewal first projects its ideal into a human form. In order to comprehend its own essence tangibly, the spirit of the time chooses a human being as its prototype and raising this single individual, often one upon whom it has chanced to come, far beyond his measure, the spirit enthuses itself for its own enthusiasm.”
—Stefan Zweig (18811942)
“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)