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A less common string configuration is the "6x6" in which each set of strings is tuned to a whole-tone scale (rather than diatonic and 'accidental' tuning). The advantage of this layout is that only two sets of fingering patterns are required for major scales, one set when the root of the key is on the left strung strings and the other for the ...
The 78-card Tarot Nouveau deck is the most widely used set for Tarot card games in France, Belgium, Denmark, and parts of Switzerland. A full set contains the standard 52 cards plus a Knight face card for each suit ranking between the queen and jack. Aces are marked with "1" and are the lowest ranked cards.
The category of sets can also be considered to be a universal object that is, again, not itself a set. It has all sets as elements, and also includes arrows for all functions from one set to another. Again, it does not contain itself, because it is not itself a set.
Let R be the set of all sets that are not members of themselves. (This set is sometimes called "the Russell set".) If R is not a member of itself, then its definition entails that it is a member of itself; yet, if it is a member of itself, then it is not a member of itself, since it is the set of all sets that are not members of themselves. The ...
To investigate the left distributivity of set subtraction over unions or intersections, consider how the sets involved in (both of) De Morgan's laws are all related: () = = () always holds (the equalities on the left and right are De Morgan's laws) but equality is not guaranteed in general (that is, the containment might be strict).
Cantor's paradox is the name given to a contradiction following from Cantor's theorem together with the assumption that there is a set containing all sets, the universal set. In order to distinguish this paradox from the next one discussed below, it is important to note what this contradiction is.
The difference between the interval vector of a set and that of its complement is <X, X, X, X, X, X/2>, where (in base-ten) X = 12 – 2C, and C is the cardinality of the smaller set. In nearly all cases, complements of unsymmetrical sets are inversionally related—i.e. the complement of an "A" version of a set of cardinality C is (usually ...
Long String Instrument, (by Ellen Fullman, strings are rubbed in, and vibrate in the longitudinal mode) Magnetic resonance piano , (strings activated by electromagnetic fields) Stringed instruments with keyboards