Density (disambiguation)

From Free net encyclopedia

The word density or dense has a variety of senses in the physical, mathematical, and quantitative sciences, as well as other fields.

Sciences

In physics:

• Density, area density, linear density and Planck density are types of mass-density
• Relative density (specific gravity) and vapour density are measures of density in comparison to the density of something else
• Charge density is the electric charge per unit area or per unit volume and current density is the ratio of electric current to volume
• Energy density
• Force density
• Information density

In demographics:

• Population density

In computer science:

• Computer storage density is the amount of data which can be stored in a computer storage medium

In statistics:

• Probability density function

In mathematics:

• Schnirelmann density in number theory
• natural density (also called asymptotic density) in number theory
• nowhere dense set and dense set in topology
• Lebesgue density in measure theory
• A partial order on a set S is said to be dense (or dense-in-itself) if, for all x and y in S for which x < y, there is a z in S such that x < z < y. The rational numbers with the ordinary ordering are a densely ordered set in this sense, as are the real numbers.
• In order theory, a subset B of a partially ordered set A is dense in A if for any x < y in A, there is some z in B such that x < z < y. In case the order is a linear order, then B is dense in A in the present sense if and only if B is dense in the order topology on A. Hence the first two meanings above are related.
• In forcing, a subset D of a forcing notion (P, ≤ ) is called dense in P if for any p in P there is d in D with d≤p. (Note: since a forcing notion is also a partial order, this usage of the word "dense" conflicts with the definition given above. However, the above notion of "density" is practically never used when talking about forcing notions, so any ambiguities are usually easily resolved from the context.)

Other Fields

In spirituality:

• Spiritual density describes states of being for various planes of existence.

In music:

• Density is the name of an Italian progressive band.

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