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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]
A monotonic scale is a musical scale consisting of only one note in the octave. Having a deliberate fixed note, the monotonic is still a musical form rather than a total absence of melody. The monotonic stands in contrast to more common musical scales, such as the pentatonic (five notes) and modern, common Western heptatonic and chromatic scales.
Allegory: an extended metaphor in which the characters, places, and objects in a narrative carry figurative meaning. Often, the meaning of an allegory is religious, moral, or historical in nature. Example: "The Faerie Queene" by Edmund Spenser. [1] Periphrasis: the usage of multiple separate words to carry the meaning of prefixes, suffixes or ...
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.
The notions of completely and absolutely monotone function/sequence play an important role in several areas of mathematics. For example, in classical analysis they occur in the proof of the positivity of integrals involving Bessel functions or the positivity of Cesàro means of certain Jacobi series. [ 6 ]
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 ...
In instrumental music, a style of playing that imitates the way the human voice might express the music, with a measured tempo and flexible legato. cantilena a vocal melody or instrumental passage in a smooth, lyrical style canto Chorus; choral; chant cantus mensuratus or cantus figuratus (Lat.) Meaning respectively "measured song" or "figured ...
Lyric setting is the process in songwriting of placing textual content in the context of musical rhythm, in which the lyrical meter and musical rhythm are in proper alignment as to preserve the natural shape of the language and promote prosody. Prosody is defined as "an appropriate relationship between elements."