Soprano flute alternative part is provided either for the C flute or for the piccolo. With the substitution of one of these more commonly found instruments, however, the distinctive colour of a treble flute sound is missing. Soprano flute The soprano flute (also called a third flute or tierce flute) is a type of flute, a musical instrument in the woodwind family. It is pitched in E, a minor third above the concert flute, and is the only member of the modern flute family that is not pitched in C or G. The pitch was set at a time such flutes substituted
Smallest-circle problem Smallest-circle problem The smallest-circle problem or minimum covering circle problem is a mathematical problem of computing the smallest circle that contains all of a given set of points in the Euclidean plane. The corresponding problem in "n"-dimensional space, the smallest bounding-sphere problem, is to compute the smallest "n"-sphere that contains all of a given set of points. The smallest-circle problem was initially proposed by the English mathematician James Joseph Sylvester in 1857. The smallest-circle problem in the plane is an example of a facility location problem (the 1-center problem) in which the location of a new facility must be chosen