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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.
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
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 ...
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 ]
In mathematics, specifically in the field of topology, a monotonically normal space is a particular kind of normal space, defined in terms of a monotone normality operator. It satisfies some interesting properties; for example metric spaces and linearly ordered spaces are monotonically normal, and every monotonically normal space is ...
Timothée Chalamet portrays Bob Dylan in James Mangold’s “A Complete Unknown,” a rhythmic biopic unpacking his rise to rock ’n' roll stardom. The spark behind his musical journey is the ...
The polygonal wraps, weakly simple polygons that use each given point one or more times as a vertex, include all polygonalizations and are connected by local moves. [2] Another more general class of polygons, the surrounding polygons, are simple polygons that have some of the given points as vertices and enclose all of the points. They are ...