Continuous Weights
In the continuous setting, a weight is a positive measure such as on some domain ,which is typically a subset of a Euclidean space, for instance could be an interval . Here is Lebesgue measure and is a non-negative measurable function. In this context, the weight function is sometimes referred to as a density.
Read more about this topic: Weight Function
Famous quotes containing the words continuous and/or weights:
“The gap between ideals and actualities, between dreams and achievements, the gap that can spur strong men to increased exertions, but can break the spirit of others—this gap is the most conspicuous, continuous land mark in American history. It is conspicuous and continuous not because Americans achieve little, but because they dream grandly. The gap is a standing reproach to Americans; but it marks them off as a special and singularly admirable community among the world’s peoples.”
—George F. Will (b. 1941)
“This is essentially a People’s contest. On the side of the Union, it is a struggle for maintaining in the world, that form, and substance of government, whose leading object is, to elevate the condition of men—to lift artificial weights from all shoulders—to clear the paths of laudable pursuit for all—to afford all, an unfettered start, and a fair chance, in the race of life.”
—Abraham Lincoln (1809–1865)