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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 class theorem, in measure theory; Monotone convergence theorem, in mathematics; Monotone polygon, a property of a geometric object; Monotonic function, a property of a mathematical function; Monotonicity of entailment, a property of some logical systems; Monotonically increasing, a property of number sequence
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 ]
A monotone planar subdivision with some monotone chains highlighted. A (vertical) monotone chain is a path such that the y-coordinate never increases along the path. A simple polygon is (vertical) monotone if it is formed by two monotone chains, with the first and last vertices in common. It is possible to add some edges to a planar subdivision ...
The spark behind his musical journey is the “Freewheelin'” singer’s decision to uproot from his Minnesota hometown for New York to play a song he wrote for folk icon Woody Guthrie (Scoot ...
Poetic Diction is a style of writing in poetry which encompasses vocabulary, phrasing, and grammatical usage. Along with syntax, poetic diction functions in the setting the tone, mood, and atmosphere of a poem to convey the poet's intention. Poetic devices shape a poem and its meanings.