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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]
Metrical foot (aka poetic foot): the basic repeating rhythmic unit that forms part of a line of verse in most Indo-European traditions of poetry; Prosody: the principles of metrical structure in poetry; Stanza: a group of lines forming the basic recurring metrical unit in a poem. (cf. verse in music.)
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
Doggerel, or doggrel, is poetry that is irregular in rhythm and in rhyme, often deliberately for burlesque or comic effect. Alternatively, it can mean verse which has a monotonous rhythm, easy rhyme, and cheap or trivial meaning. The word is derived from the Middle English dogerel, probably a derivative of dog. [1]
The poem uses several stylistic devices and is in many ways typical of Verlaine, in that it employs sound techniques such as consonance (the repetition of "n" and "r" sounds) that also creates an onomatopoeic effect, sounding both monotonous and like a violin. [2]
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 ]
Melopoeia or melopeia is when words are "charged" beyond their normal meaning with some musical property which further directs its meaning, [1] inducing emotional correlations by sound and rhythm of the speech. Melopoeia can be "appreciated by a foreigner with a sensitive ear" but does not translate well, according to Pound. [1]
Grünbaum forms two monotone polygonal chains connecting the extreme points through sorted subsequences of the points: one for the points in this non-empty open halfplane, and the other for the remaining points. Their union is the desired monotone polygon.