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Density (volumetric mass density or specific mass) is a substance's mass per unit of volume. The symbol most often used for density is ρ (the lower case Greek letter rho ), although the Latin letter D can also be used.
Probability density function, a function which maps probabilities across the real line and whose integral is 1 Density estimation is the construction of an estimate of a probability density function; Kernel density estimation, used in statistics to estimate a probability density function of a random variable; Lebesgue's density theorem
The density of water is approximately 1g/mL whether you consider a drop of water or a swimming pool, but the mass is different in the two cases. Dividing one extensive property by another extensive property gives an intensive property—for example: mass (extensive) divided by volume (extensive) gives density (intensive).
In this definition, there is a critical pressure and an associated critical density, and when nuclear matter (made of protons and neutrons) is compressed beyond this density, the protons and neutrons dissociate into quarks, yielding quark matter (probably strange matter). The narrower meaning is quark matter that is more stable than nuclear matter.
This definition has been championed by Ernst Mach [25] [26] and has since been developed into the notion of operationalism by Percy W. Bridgman. [27] [28] The simple classical mechanics definition of mass differs slightly from the definition in the theory of special relativity, but the essential meaning is the same.
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A subset A of positive integers has natural density α if the proportion of elements of A among all natural numbers from 1 to n converges to α as n tends to infinity.. More explicitly, if one defines for any natural number n the counting function a(n) as the number of elements of A less than or equal to n, then the natural density of A being α exactly means that [1]
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