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
Distance from a point to a plane the closest point to the origin may be expressed more succinctly using notation from linear algebra. The expression formula_19 in the definition of a plane is a dot product formula_20, and the expression formula_21 appearing in the solution is the squared norm formula_22. Thus, if formula_23 is a given vector, the plane may be described as the set of vectors formula_24 for which formula_25 and the closest point on this plane is the vector Written in Cartesian form, the closest point is given by formula_27 for formula_28 where and the distance from formula_30 to the hyperplane is Thus in formula_32