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)
“... the prevalent custom of educating young women only for marriage, and not for the duties and responsibilities consequent on marriage—only for appendages and dead weights to husbands—of bringing them up without an occupation, profession, or employment, and thus leaving them dependent on anyone but themselves—is an enormous evil, and an unpardonable sin.”
—Harriot K. Hunt (1805–1875)