Blind musicians Blind musicians Blind musicians are singers or instrumentalists, or in some cases singer-accompanists, who are legally blind. Historically, many blind musicians, including some of the most famous, have performed without the benefit of formal instruction, since such instruction relies extensively on written musical notation. However, today there are many resources available for blind musicians who wish to learn Western music theory and classical notation. Louis Braille, the man who created the braille alphabet for the blind, also created a system of classical notation for the blind called Braille music. This system allows the blind to read and write music just
Point in polygon polygon overlaps itself. The point in polygon problem may be considered in the general repeated geometric query setting: given a single polygon and a sequence of query points, quickly find the answers for each query point. Clearly, any of the general approaches for planar point location may be used. Simpler solutions are available for some special polygons. Simpler algorithms are possible for monotone polygons, star-shaped polygons, convex polygons and triangles. The triangle case can be solved easily by use of a barycentric coordinate system, parametric equation or dot product. The dot product method extends naturally to any convex polygon. Point