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248 Gm (1.7 au) – diameter of Enif, a small red supergiant star in the constellation Pegasus [180] 280 Gm (1.9 au) – diameter of Deneb, a blue supergiant and the brightest star in the Cygnus constellation [181] 511 Gm (3.4 au) – average diameter of Mira, a pulsating red giant and the progenitor of the Mira variables.
Proof without words of the AM–GM inequality: PR is the diameter of a circle centered on O; its radius AO is the arithmetic mean of a and b. Using the geometric mean theorem, triangle PGR's altitude GQ is the geometric mean. For any ratio a:b, AO ≥ GQ. Visual proof that (x + y) 2 ≥ 4xy. Taking square roots and dividing by two gives the AM ...
The outhouse is a unit of area used in nuclear physics equal to 10 −6 barns (100 am 2 = 10 −34 m 2). The barn (b) is a unit of area used in nuclear physics equal to one hundred femtometres squared (100 fm 2 = 10 −28 m 2). The are (a) is a unit of area equal to 100 m 2. The decare (daa) is a unit of area equal to 1000 m 2.
In mathematics, the QM-AM-GM-HM inequalities, also known as the mean inequality chain, state the relationship between the harmonic mean, geometric mean, arithmetic mean, and quadratic mean (also known as root mean square). Suppose that ,, …, are positive real numbers. Then
GM gigamolar 10 −12 M pM picomolar 10 12 M TM teramolar 10 −15 M fM femtomolar 10 15 M PM petamolar 10 −18 M aM attomolar 10 18 M EM examolar 10 −21 M zM zeptomolar 10 21 M ZM zettamolar 10 −24 M yM yoctomolar 10 24 M YM yottamolar 10 −27 M rM rontomolar 10 27 M RM ronnamolar 10 −30 M qM quectomolar 10 30 M QM quettamolar
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At the close of the 19th century three different systems of units of measure existed for electrical measurements: a CGS-based system for electrostatic units, also known as the Gaussian or ESU system, a CGS-based system for electromechanical units (EMU), and an International system based on units defined by the Metre Convention [33] for ...
Proof without words of the AM–GM inequality: PR is the diameter of a circle centered on O; its radius AO is the arithmetic mean of a and b. Using the geometric mean theorem, triangle PGR's altitude GQ is the geometric mean. For any ratio a:b, AO ≥ GQ.