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A '''coefficient''' is a non-dimensional quantity. It is obtained by multiplying (or dividing) something on the quantity of interest to eliminate the dimensions. If you are 1.8m tall, your height has a unit of metres and a dimension of length. If your height is divided by a quantity (which can be chosen rather randomly), say the wingspan of a K-21 (18 metres), we can say you have a "height coefficient" of 0.1, which has no unit and no dimension. So long as this random quantity is kept constant, the coefficient is an equivalent representation of the actual value.
A '''field''' is a spacial distribution of some quantity of interest. If a field is known, effectively the quantity is known at every location within that field (we say the field '''evaluates to''' something at that point). For example, there is a temperature field in your house, which might evaluate to 25 degrees on the armchair in the living room, 20 degrees on the bedroom floor, but only 15 degrees somewhere on the balcony.
= What a wing actually does =
