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A is a subset of B (denoted ) and, conversely, B is a superset of A (denoted ). In mathematics, a set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be equal; if they are unequal, then A is a proper subset of B.
An example of a (7,3,1) difference set in the group / is the subset {,,}. The translates of this difference set form the Fano plane . Since every difference set gives a symmetric design , the parameter set must satisfy the Bruck–Ryser–Chowla theorem .
For instance, had been declared as a subset of , with the sets and not necessarily related to each other in any way, then would likely mean instead of . If it is needed then unless indicated otherwise, it should be assumed that X {\displaystyle X} denotes the universe set , which means that all sets that are used in the formula are subsets of X ...
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The second subset (E ♭ G F ♯) being the retrograde-inverse of the first, transposed up one semitone: 3 11 0 retrograde, interval-string = −4 +1 mod 12 3 7 6 inverse, interval-string = +4 −1 mod 12 + 1 1 1 ----- = 4 8 7 The third subset (G ♯ E F) being the retrograde of the first, transposed up (or down) six semitones:
In statistics, Mallows's, [1] [2] named for Colin Lingwood Mallows, is used to assess the fit of a regression model that has been estimated using ordinary least squares.It is applied in the context of model selection, where a number of predictor variables are available for predicting some outcome, and the goal is to find the best model involving a subset of these predictors.