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.
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Famous quotes containing the words length, higher and/or dimensions:
“Your length in clay’s now competent,
A long war disturbed your mind;”
—John Webster (c. 1580–1638)
“The perfect female is a higher type of human being than the perfect male: and also something much more rare.—Zoological science provides the means to support this proposition.”
—Friedrich Nietzsche (1844–1900)
“The truth is that a Pigmy and a Patagonian, a Mouse and a Mammoth, derive their dimensions from the same nutritive juices.... [A]ll the manna of heaven would never raise the Mouse to the bulk of the Mammoth.”
—Thomas Jefferson (1743–1826)