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The Database of Original & Non-Theoretical Uses of Topology (DONUT) is a database of scholarly articles featuring practical applications of topological data analysis to various areas of science. DONUT was started in 2017 by Barbara Giunti, Janis Lazovskis, and Bastian Rieck, [ 126 ] and as of October 2023 currently contains 447 articles. [ 127 ]
A rose with four petals. In mathematics, a rose (also known as a bouquet of n circles) is a topological space obtained by gluing together a collection of circles along a single point. The circles of the rose are called petals. Roses are important in algebraic topology, where they are closely related to free groups.
Graphs of roses are composed of petals.A petal is the shape formed by the graph of a half-cycle of the sinusoid that specifies the rose. (A cycle is a portion of a sinusoid that is one period T = 2π / k long and consists of a positive half-cycle, the continuous set of points where r ≥ 0 and is T / 2 = π / k long, and a negative half-cycle is the other half where r ...
Rosa woodsii is a perennial [4] bushy shrub which grows up to 3 metres (10 feet) tall. The shrubs can form large, dense thickets. The plant reproduces sexually by seed and vegetatively by sprouting from the root crown, layering, and by producing root suckers.
The rose family is considered one of the six most economically important crop plant families, [37] and includes apples, pears, quinces, medlars, loquats, almonds, peaches, apricots, plums, cherries, strawberries, blackberries, raspberries, sloes, and roses. Many genera are also highly valued ornamental plants.
The following is a list of named topologies or topological spaces, many of which are counterexamples in topology and related branches of mathematics. This is not a list of properties that a topology or topological space might possess; for that, see List of general topology topics and Topological property .
Learn about 11 most popular rose color meanings and what the colors symbolize before you send a bouquet, from bright red to maroon, pink, white, and yellow.
Rosales (/ r oʊ ˈ z eɪ l iː z /, roh-ZAY-leez) [5] are an order of flowering plants. [6] Well-known members of Rosales include: roses, strawberries, blackberries and raspberries, apples and pears, plums, peaches and apricots, almonds, rowan and hawthorn, jujube, elms, banyans, figs, mulberries, breadfruit, nettles, hops, and cannabis.