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F = mu x N ,
where
F = is the frictional force between the bedding and the person lying on it.
(mu) = is the coefficient of friction, representing the measure of grip between the bedding and the person's skin.
N = is the normal force, representing the force pressing the person's skin against the bedding.
In this context (mu) would depend on various factors such as the material properties of the bedding, surface texture, moisture level, and the characteristics of the persons skin.
Developing a comprehencive math model for friction (in bedding) would require more detailed analysis and experimentation to account for the multitude of the variables involved.