Knots (knot Theory)
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Knots (knot Theory)
A knot is a fastening in rope or interwoven lines. Knot or knots may also refer to: Other common meanings * Knot (unit), of speed * Knot (wood), a timber imperfection Arts, entertainment, and media Films * Knots (film), ''Knots'' (film), a 2004 film * ''Knots'', a 2011 film starring Kimberly-Rose Wolter Music * Rosette (music), soundhole decoration on string instruments * Knots (Sons of Noel and Adrian album), ''Knots'' (Sons of Noel and Adrian album), a 2012 album by Sons of Noel and Adrian * Knots (Crash of Rhinos album), ''Knots'' (Crash of Rhinos album), a 2013 album by Crash of Rhinos * Knots (EP), ''Knots'' (EP), a 2018 extended play by Moira Dela Torre and Nieman Gatus * "Knots", a song by Gentle Giant Other uses in arts, entertainment, and media * KNOT, a radio station in Prescott, Arizona, United States * ''Knots'', a 1970 book of poetry by R. D. Laing Biology * Red knot, a wading bird (simply called "knot" in Europe) * Great knot, a wading bird * Trigger point or kno ...
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Knot
A knot is an intentional complication in Rope, cordage which may be practical or decorative, or both. Practical knots are classified by function, including List of hitch knots, hitches, List of bend knots, bends, List of loop knots, loop knots, and Rope splicing, splices: a ''hitch'' fastens a rope to another object; a ''bend'' fastens two ends of a rope to each another; a ''loop knot'' is any knot creating a loop; and ''splice'' denotes any multi-strand knot, including bends and loops. A knot may also refer, in the strictest sense, to a stopper (knot), stopper or knob at the end of a rope to keep that end from slipping through a grommet or eye. Knots have excited interest since ancient times for their practical uses, as well as their Topology, topological intricacy, studied in the area of mathematics known as knot theory. History Knots and knotting have been used and studied throughout history. For example, Chinese knotting is a decorative handicraft art that began as ...
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Spline (mathematics)
In mathematics, a spline is a function defined piecewise by polynomials. In interpolating problems, spline interpolation is often preferred to polynomial interpolation because it yields similar results, even when using low degree polynomials, while avoiding Runge's phenomenon for higher degrees. In the computer science subfields of computer-aided design and computer graphics, the term ''spline'' more frequently refers to a piecewise polynomial ( parametric) curve. Splines are popular curves in these subfields because of the simplicity of their construction, their ease and accuracy of evaluation, and their capacity to approximate complex shapes through curve fitting and interactive curve design. The term spline comes from the flexible spline devices used by shipbuilders and draftsmen to draw smooth shapes. Introduction The term "spline" is used to refer to a wide class of functions that are used in applications requiring data interpolation and/or smoothing. The data ...
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Knotgrass
Knotgrass or knot grass is the common name for several plants and a moth and may refer to: *''Paspalum distichum ''Paspalum distichum'' is a species of Poaceae, grass. Common names include knotgrass, water finger-grass, couch paspalum, eternity grass, gingergrass, and Thompson grass. Its native range is obscure because it has long been present on most conti ...'', a species of grass *'' Polygonum'', a genus of plants in the buckwheat family, more often known as knot weed *'' Acronicta rumicis'', a moth of the family Noctuidae See also * Knotweed {{Plant common name ...
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Knotted Wrack
''Ascophyllum nodosum'' is a large, common cold water seaweed or brown alga ( Phaeophyceae) in the family Fucaceae. Its common names include knotted wrack, egg wrack, feamainn bhuí, rockweed, knotted kelp and Norwegian kelp. It grows only in the northern Atlantic Ocean, along the north-western coast of Europe (from the White Sea to Portugal) including east Greenland and the north-eastern coast of North America. Its range further south of these latitudes is limited by warmer ocean waters. It dominates the intertidal zone. ''Ascophyllum nodosum'' has been used numerous times in scientific research and has even been found to benefit humans through consumption. Scientific name history ''Ascophyllum nodosum'' is the only species in the genus ''Ascophyllum''. The original name (basionym) was ''Fucus nodosus'' Linnaeus 1753. The species was transferred to the genus ''Ascophyllum'' (as ''Ascophylla'') by Stackhouse (Papenfuss 1950), under the name ''Ascophyllum laevigata'' (Guiry and ...
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Knot Garden
A knot garden is a garden style that was popularized in 16th century England and is now considered an element of the formal English garden. A knot garden consists of a variety of aromatic and culinary herbs, or low hedges such as box, planted in lines to create an intertwining pattern that is set within a square frame and laid on a level substrate. The spaces between these lines are often filled with stone, gravel, sand or flowering plants. Traditional plants used in knot gardens include germander, marjoram, thyme, southernwood, lemon balm, hyssop, costmary, acanthus, mallow, chamomile, rosemary, calendula, viola and santolina. Most knot gardens now have edges made from box (''Buxus sempervirens''), which is easily cut into dense miniature hedges, and stays green during winters when not all of the "filling" plants are visible or attractive. However, the original designs of knot gardens did not use low box hedges until the late 17th century Historically, knot gardens ...
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Garlic Knot
Garlic knots are a type of garlic bread found primarily in pizzerias around New York City and the surrounding regions. They were developed in the 1940s in Brooklyn. Many pizzerias claim to be the progenitors of the baked good. As they are a way to make use of scraps, garlic knots tend to be the least expensive item on a pizzeria menu, often provided as complimentary with larger orders. Making garlic knots Garlic knots are typically made from bread dough. The dough is rolled and then pulled into small, tight overhand knots, and pre-baked in a pizza oven (temperatures of 700 °F or higher). The knots are then dipped in or generously brushed with a mix of oil, Parmesan cheese, and crushed garlic; variations can include finely chopped parsley, dried oregano, or black pepper Black pepper (''Piper nigrum'') is a flowering vine in the family Piperaceae, cultivated for its fruit (the peppercorn), which is usually dried and used as a spice and seasoning. The fruit is a dr ...
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Gordian Knot
The cutting of the Gordian Knot is an Ancient Greek legend associated with Alexander the Great in Gordium in Phrygia, regarding a complex knot that tied an oxcart. Reputedly, whoever could untie it would be destined to rule all of Asia. In 333 BC, Alexander was challenged to untie the knot. Instead of untangling it laboriously as expected, he dramatically cut through it with his sword. This is used as a metaphor for using brute force to solve a seemingly-intractable problem. Legend The Phrygians had no king, but an oracle at Telmissus (the ancient capital of Lycia) decreed that the next man to enter the city driving an ox-cart should become king. A peasant farmer named Gordias drove into town on an ox-cart and was immediately declared king. Out of gratitude, his son Midas dedicated the ox-cart to the Phrygian god Sabazios (whom the Greeks identified with Zeus) and tied it to a post with an intricate knot of cornel bark (''Cornus mas''). The knot was later described by Ro ...
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Celtic Knot
Celtic knots (, , , ) are a variety of knots and Style (visual arts)#Stylization, stylized graphical representations of knots used for decoration, used extensively in the Celtic style of Insular art. These knots are most known for their adaptation for use in the ornament (architecture), ornamentation of Christian monuments and manuscripts, such as the 8th-century St. Teilo Gospels, the Book of Kells and the Lindisfarne Gospels. Most are endless knots, and many are varieties of basket weave knots. History The use of interlace (visual arts), interlace patterns had its origins in the late Roman Empire. Knot patterns first appeared in the third and fourth centuries AD and can be seen in Roman floor mosaics of that time. Interesting developments in the artistic use of interlaced knot patterns are found in Byzantine architecture and Illuminated manuscript, book illumination, Coptic art, Celtic art, Islamic art, Kievan Rus' book illumination, Ethiopian art, and European architecture ...
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