Density Point

Density Point

 

in mathematics. A density point of a set is a point such that the ratio of the measure of the part of the set in the neighborhood to the measure of the neighborhood—the so-called relative measure of a neighborhood of the point—approaches unity as the neighborhood shrinks to the point. In any measurable set, points that are not density points form a set of measure zero. Density points are of interest in the study of the asymptotic or approximative behavior of a function when the function in the neighborhood of a given point is considered not over the entire domain of definition but over a set for which the point is a density point. This is the case, for example, in the study of asymptotic continuity and of the derivative and differential.

References in periodicals archive ?
The high density point cloud data generated by the systems equips engineers with the detail needed to comprehensively assess subsea assets, develop effective design and repair solutions, and make informed decisions in order to ensure continued safe offshore operation.
When LSI launched the industry's first 40nm read channel with LDPC iterative decoding last year, we set out with the vision of providing HDD customers with a low-risk, time-to-market advantage in meeting the next HDD areal density point," said Phil Brace, senior vice president and general manager, Storage Peripherals Division, LSI.
High density point clouds allows to inspect the whole surface of the part instead of some scattered points only.
Using a specially designed pressure cell for low temperatures, the scientists will analyze changes in liquid water as it moves from its maximum density point at 4[degrees]C to its minimum density at -63[degrees]C and beyond under various pressures.
Data linking inhaled steroids with decreased bone density point to a threshold of about 1,000 [micro]g/day (beclomethasone equivalent)--a higher dose than most patients need--below which the diminished bone density is not significant.
The local I/O modules support both sinking and sourcing inputs for wiring convenience, standard and double density point count modules as well as both local and remote terminations.
The presence of water in excess of what is required to establish the minimum density point of the molding sand results in free water within the sand mass.
Standard and involves, inter alia, of delivery to the Purchaser of the product with a density point clouds minimum of 4 points per mA.
Standard and involves, inter alia, of delivery to the ordering party product with a density point clouds minimum of 4 points per mA.