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)
“I have often inquired of myself, what great principle or idea it was that kept this Confederacy so long together. It was not the mere matter of the separation of the colonies from the mother land; but something in that Declaration giving liberty, not alone to the people of this country, but hope to the world for all future time. It was that which gave promise that in due time the weights should be lifted from the shoulders of all men, and that all should have an equal chance.”
—Abraham Lincoln (1809–1865)