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The omega equation is a culminating result in synoptic-scale meteorology. It is an elliptic partial differential equation , named because its left-hand side produces an estimate of vertical velocity, customarily [ 1 ] expressed by symbol ω {\displaystyle \omega } , in a pressure coordinate measuring height the atmosphere.
The absolute infinite (symbol: Ω), in context often called "absolute", is an extension of the idea of infinity proposed by mathematician Georg Cantor.It can be thought of as a number that is bigger than any other conceivable or inconceivable quantity, either finite or transfinite.
where R is Earth radius, Ω is frequency of rotation of the Earth, g is gravitational acceleration, φ is latitude, ρ is density of air and ν is kinematic viscosity of air (we can neglect turbulence in free atmosphere). In synoptic scale we can expect horizontal velocities about U = 10 1 m.s −1 and vertical about W = 10 −2 m.s −1.
An example of an omega block over western North America in May 2006. Blocks in meteorology are large-scale patterns in the atmospheric pressure field that are nearly stationary, effectively "blocking" or redirecting migratory cyclones. They are also known as blocking highs or blocking anticyclones. [1]
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The radiative transfer equation is a monochromatic equation to calculate radiance in a single layer of the Earth's atmosphere. To calculate the radiance for a spectral region with a finite width (e.g., to estimate the Earth's energy budget or simulate an instrument response), one has to integrate this over a band of frequencies (or wavelengths).
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the symbol ϖ, a graphic variant of π, is sometimes construed as omega with a bar over it; see π; the unsaturated fats nomenclature in biochemistry (e.g. ω−3 fatty acids) the first uncountable ordinal (also written as Ω) the clique number (number of vertices in a maximum clique) of a graph in graph theory