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What does dimensionless mean?

Looking for the meaning or definition of the word dimensionless? Here's what it means.

Adjective
  1. Lacking dimensions.
  2. (sciences) (of a physical constant) Lacking units.
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The dimensionless ratio of the total solar heat gain from a particular glazing system to that for one sheet of clear 3-mm double-strength glass.
These derivatives can be combined into a hierarchy of dimensionless slow varying parameters.
You will bind them to yours and shape the whole into a dimensionless sphere of pure controlled, dirigible energy.
The scores are in dimensionless units, rescaled with identical scale factors.
The screen turned featureless gray as the pickups stared blindly into some dimensionless noplace.
The point of this laborious procedure is that this combination of multiplication and division produces a pure, dimensionless number.

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