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Breaking a polygon into monotone polygons. A simple polygon may be easily cut into monotone polygons in O(n log n) time. However, since a triangle is a monotone polygon, polygon triangulation is in fact cutting a polygon into monotone ones, and it may be performed for simple polygons in O(n) time with a complex algorithm. [6]
Monotone preferences, a property of a consumer's preference ordering. Monotonicity (mechanism design), a property of a social choice function. Monotonicity criterion, a property of a voting system. Resource monotonicity, a property of resource allocation rules and bargaining systems.
Musical symbols are marks and symbols in musical notation that indicate various aspects of how a piece of music is to be performed. There are symbols to communicate information about many musical elements, including pitch, duration, dynamics, or articulation of musical notes; tempo, metre, form (e.g., whether sections are repeated), and details about specific playing techniques (e.g., which ...
A simple closed polygonal chain in the plane is the boundary of a simple polygon. Often the term "polygon" is used in the meaning of "closed polygonal chain", but in some cases it is important to draw a distinction between a polygonal area and a polygonal chain. A space closed polygonal chain is also known as a skew "polygon".
Some definitions refer to music as a score, or a composition: [18] [7] [19] music can be read as well as heard, and a piece of music written but never played is a piece of music notwithstanding. According to Edward E. Gordon the process of reading music , at least for trained musicians, involves a process, called "inner hearing" or "audiation ...
Literal translation Definition Banda: band: Small music ensemble used as a supplement to the orchestra in an opera Comprimario: with the first: Supporting role Concertino: little concert: Smaller, more virtuosic group of musicians in a concerto grosso: Convenienze: conveniences
Polyphony (/ p ə ˈ l ɪ f ə n i / pə-LIF-ə-nee) is a type of musical texture consisting of two or more simultaneous lines of independent melody, as opposed to a musical texture with just one voice or a texture with one dominant melodic voice accompanied by chords ().
An intuitively understandable example for a polyphonic instrument is a (classical) piano, on which the player plays different melody lines with the left and the right hand - depending on music style and composition, these may be musically tightly interrelated or may even be totally unrelated to each other, like in parts of Jazz music. An ...