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, raising and/or lowering:
“The care of a house, the conduct of a home, the management of children, the instruction and government of servants, are as deserving of scientific treatment and scientific professors and lectureships as are the care of farms, the management of manure and crops, and the raising and care of stock.”
—Catherine E. Beecher (1800–1878)
“One of the things I’ve discovered in general about raising kids is that they really don’t give a damn if you walked five miles to school. They want to deal with what’s happening now.”
—Patty Duke (20th century)
“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)