Extremal Length in Higher Dimensions
The notion of extremal length adapts to the study of various problems in dimensions 3 and higher, especially in relation to quasiconformal mappings.
Read more about this topic: Extremal Length
Famous quotes containing the words length, higher and/or dimensions:
“What though the traveler tell us of the ruins of Egypt, are we so sick or idle that we must sacrifice our America and today to some man’s ill-remembered and indolent story? Carnac and Luxor are but names, or if their skeletons remain, still more desert sand and at length a wave of the Mediterranean Sea are needed to wash away the filth that attaches to their grandeur. Carnac! Carnac! here is Carnac for me. I behold the columns of a larger
and purer temple.”
—Henry David Thoreau (1817–1862)
“The poor tread lightest on the earth. The higher our income, the more resources we control and the more havoc we wreak.”
—Paul Harrison (b. 1936)
“Words are finite organs of the infinite mind. They cannot cover the dimensions of what is in truth. They break, chop, and impoverish it.”
—Ralph Waldo Emerson (1803–1882)