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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.
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".
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 ]
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.
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 ...
Ars Poetica: a poem that explains the 'art of poetry', or a meditation on poetry using the form and techniques of a poem. [1] Aubade: a love poem welcoming or lamenting the arrival of the dawn. Example: “The Sun Rising” by John Donne. [1] Deep image; Didactic; Dramatic monologue