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What is an absolute magnitude?

What is an absolute magnitude? Here are some definitions.

Noun
  1. (astronomy) The intrinsic luminosity that a celestial body would have if viewed from a distance of 10 parsecs or 32.6 light years.
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It is the absolute magnitude of the amount of taxpayer money involved in these programs.
To estimate absolute magnitude of these processes, it is necessary to quantify all source and sink terms precisely.
I had underestimated the scope and scale of dishonesty, its depth and breadth, its absolute magnitude.
If the absolute magnitude of a star and its temperature are known, its size can be computed.
The absolute magnitude, M, is defined as the apparent magnitude a star would have if it were placed 10 parsecs from the Sun.
The brightest component star, Alpha Centauri A, resembles the Sun in spectral type, diameter, and absolute magnitude.

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