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The dew point is the temperature at which the air over water is saturated with water vapor at a constant air pressure. The water vapor pressure that then prevails is the same as the water vapor saturation pressure.
The dew point temperature of moist air at the temperature T, pressure Pb and Mixing Ratio r is the temperature to which air must be cooled in order to be saturated with respect to water (liquid).
The frost point temperature of moist air at temperature T, pressure Pb and Mixing Ratio r is the temperature to which air must be cooled in order to be saturated with respect to ice.