In mathematics, the interior product is a degree −1 antiderivation on the exterior algebra of differential forms on a smooth manifold. The interior product, named in opposition to the exterior product, is also called interior or inner multiplication, or the inner derivative or derivation, but should not be confused with an inner product. The interior product ιXω is sometimes written as X ⨼ ω; this character is U+2A3C in Unicode and looks like .
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Famous quotes containing the words interior and/or product:
“Though the railroad and the telegraph have been established on the shores of Maine, the Indian still looks out from her interior mountains over all these to the sea.”
—Henry David Thoreau (18171862)
“Culture is a sham if it is only a sort of Gothic front put on an iron buildinglike Tower Bridgeor a classical front put on a steel framelike the Daily Telegraph building in Fleet Street. Culture, if it is to be a real thing and a holy thing, must be the product of what we actually do for a livingnot something added, like sugar on a pill.”
—Eric Gill (18821940)