Volume

See: Probability Density Function, Surface Area, Volume Measure.

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References

• http://en.wikipedia.org/wiki/Volume
  • The volume of any solid, liquid, plasma, vacuum or theoretical object is how much three-dimensional space it occupies, often quantified numerically. One-dimensional figures (such as lines) and two-dimensional shapes such as square geometry squares are assigned zero volume in the three-dimensional space. Volume is commonly presented in units such as mililitres or cm³ (milliliters or cubic centimeters).
  • Volumes of some simple shapes, such as regular, straight-edged and circular shapes can be easily calculated using arithmetic Formulas. More complicated shapes can be calculated by Integral Calculus if a formula exists for its boundary. The volume of any shape can be determined by displacement.
  • In Differential Geometry, volume is expressed by means of the Volume Form, and is an important global Riemannian invariant.
  • Volume is a fundamental parameter in Thermodynamics and it is conjugate to Pressure.

2000

• (Valpola, 2000) ⇒ Harri Valpola. (2000). “Bayesian Ensemble Learning for Nonlinear Factor Analysis." PhD Dissertation, Helsinki University of Technology.
  • QUOTE: volume: In analogy to physical mass, density and volume, the size of range of continuous valued variables can be called volume. See probability density.

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