However, the depicted structure is not an optimal one, because \ scriptstyle DEC _ 1 uses only a proper fraction of the available redundant information.
2.
These fractions can be found by the method of continued fractions : this arithmetical technique provides a series of progressively better approximations of any real numeric value by proper fractions.
3.
If the system is represented in transfer function form, the minimum number of state variables is equal to the order of the transfer function's denominator after it has been reduced to a proper fraction.
4.
That is, fixing " q " to a proper fraction in the relationship " qs " = " t " also defines a unique family of one equal temperament and its multiples that fulfill this relationship.
5.
Thus, for each tolerance class obtained from the covering of Z = X \ cup Y, tNM counts the number of objects that belong to X and Y and takes the ratio ( as a proper fraction ) of their cardinalities.
6.
There is exactly one family of equal temperaments that fixes the semitone to any proper fraction of a whole tone, while keeping the notes in the right order ( meaning that, for example, C, D, E, F, and F are in ascending order if they preserve their usual relationships to C ).
परिभाषा
a fraction with a numerator smaller than the denominator
मोबाइल