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What is degrees of freedoms?

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Anonymous

7y ago
Updated: 8/21/2019

The degrees of freedom for an unconstrained set of variables is simply the number of variables. However, in may cases there are constraints imposed by other considerations. In such cases, the degrees of freedom for the set of variables is the count of variables which you can choose [more or less] arbitrarily before the remainder are forced by the constraints. For example, the sum of the angles of a triangle is 180 degrees so you can choose two angles arbitrarily. But having chosen them, the third is determined for you by the constraint. I said "more or less" earlier, because for example the first angle cannot be 187 degrees, or the first two cannot be 91 degrees each.


Although a quadrilateral has has 3 degrees of freedom, a parallelogram has only one. Having selected a value for one angle, the opposite angle is fixed (as the same value), and the adjacent angles are also determined since they are supplementary to the selected value.

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Wiki User

7y ago

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