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Paper Bag Problem
In geometry, the paper bag problem or teabag problem is to calculate the maximum possible inflated volume of an initially flat sealed rectangular bag which has the same shape as a cushion or pillow, made out of two pieces of material which can bend but not stretch. According to Anthony C. Robin, an approximate formula for the capacity of a sealed expanded bag is: :V=w^3 \left (h/ \left (\pi w \right ) -0.142 \left (1-10^ \left (-h/w \right ) \right ) \right ), where ''w'' is the width of the bag (the shorter dimension), ''h'' is the height (the longer dimension), and ''V'' is the maximum volume. The approximation ignores the crimping round the equator of the bag. A very rough approximation to the capacity of a bag that is open at one edge is: :V=w^3 \left (h/ \left (\pi w \right ) -0.071 \left (1-10^ \left (-2h/w \right ) \right ) \right ) (This latter formula assumes that the corners at the bottom of the bag are linked by a single edge, and that the base of the bag is ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cushion
A cushion is a soft bag of some ornamental material, usually stuffed with wool, hair, feathers, polyester staple fiber, non-woven material, cotton, or even paper torn into fragments. It may be used for sitting or kneeling upon, or to soften the hardness or angularity of a chair or couch. Decorative cushions often have a patterned cover material, and are used as decoration for furniture. A cushion is also referred to as a bolster, hassock, ''headrest'', a ''tush'', and a ''sham''. Cushions and rugs can be used temporarily outside to soften a hard ground. They can be placed on sunloungers and used to prevent annoyances from moist grass and biting insects. Some dialects of English use this word to refer to throw pillows as well. The cushion is a very ancient article of furniture; the inventories of the contents of palaces and great houses in the early Middle Ages constantly made mention of them. Cushions were then often of great size, covered with leather, and firm enough ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is called a '' geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point, line, plane, distance, angle, surface, and curve, as fundamental concepts. During the 19th century several discoveries enlarged dramatically the scope of geometry. One of the oldest such discoveries is Carl Friedrich Gauss' ("remarkable theorem") that asserts roughly that the Gaussian curvature of a surface is independent from any specific embedding in a Euclidean space. This implies that surfaces can be studied ''intrinsically'', that is, as stand-alone spaces, and has been expanded into the theory of manifolds and Riemannian geometry. Later in the 19th century, it appeared that geom ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cushion
A cushion is a soft bag of some ornamental material, usually stuffed with wool, hair, feathers, polyester staple fiber, non-woven material, cotton, or even paper torn into fragments. It may be used for sitting or kneeling upon, or to soften the hardness or angularity of a chair or couch. Decorative cushions often have a patterned cover material, and are used as decoration for furniture. A cushion is also referred to as a bolster, hassock, ''headrest'', a ''tush'', and a ''sham''. Cushions and rugs can be used temporarily outside to soften a hard ground. They can be placed on sunloungers and used to prevent annoyances from moist grass and biting insects. Some dialects of English use this word to refer to throw pillows as well. The cushion is a very ancient article of furniture; the inventories of the contents of palaces and great houses in the early Middle Ages constantly made mention of them. Cushions were then often of great size, covered with leather, and firm enough ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pillow
A pillow is a support of the body at rest for comfort, therapy, or decoration. Pillows are used in different variations by many species, including humans. Some types of pillows include throw pillows, body pillows, decorative pillows, and many more. Pillows that aid sleeping are a form of bedding that supports the head and neck. Other types of pillows are designed to support the body when lying down or sitting. There are also pillows that consider human body shape for increased comfort during sleep. Decorative pillows used on people, couches or chairs are sometimes referred to as cushions. In contemporary western culture, pillows consist of a plain or patterned fabric envelope (known as a pillowcase) which contains a soft stuffing, typically synthetic and typically standardized in sizes and shape. Pillows have been historically made of a variety of natural materials and many cultures continue to use pillows made from natural materials in the world. The word ''pillow'' comes ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Anthony C
Anthony or Antony is a masculine given name, derived from the '' Antonii'', a ''gens'' ( Roman family name) to which Mark Antony (''Marcus Antonius'') belonged. According to Plutarch, the Antonii gens were Heracleidae, being descendants of Anton, a son of Heracles. Anthony is an English name that is in use in many countries. It has been among the top 100 most popular male baby names in the United States since the late 19th century and has been among the top 100 male baby names between 1998 and 2018 in many countries including Canada, Australia, England, Ireland and Scotland. Equivalents include ''Antonio'' in Italian, Spanish, Portuguese and Maltese; ''Αντώνιος'' in Greek; ''António'' or ''Antônio'' in Portuguese; ''Antoni'' in Catalan, Polish, and Slovene; '' Anton'' in Dutch, Galician, German, Icelandic, Romanian, Russian, and Scandinavian languages; ''Antoine'' in French; '' Antal'' in Hungarian; and ''Antun'' or ''Ante'' in Croatian. The usual abbreviated for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Lens (geometry)
In 2-dimensional geometry, a lens is a convex region bounded by two circular arcs joined to each other at their endpoints. In order for this shape to be convex, both arcs must bow outwards (convex-convex). This shape can be formed as the intersection of two circular disks. It can also be formed as the union of two circular segments (regions between the chord of a circle and the circle itself), joined along a common chord. Types If the two arcs of a lens have equal radius, it is called a symmetric lens, otherwise is an asymmetric lens. The vesica piscis is one form of a symmetric lens, formed by arcs of two circles whose centers each lie on the opposite arc. The arcs meet at angles of 120° at their endpoints. Area ;Symmetric The area of a symmetric lens can be expressed in terms of the radius ''R'' and arc lengths ''θ'' in radians: :A = R^2\left(\theta - \sin \theta \right). ;Asymmetric The area of an asymmetric lens formed from circles of radii ''R'' and ''r'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Teabag
A tea bag, or the Compound word, compound teabag, is a small, porous, sealed bag or Packet (container), packet, typically containing tea leaves or the leaves of other herbs, which is immersed in water to steeping, steep and make an infusion. Originally used only for tea (''Camellia sinensis''), they are now made with other herbal tea, tisanes ("herbal teas") as well. Tea bags are commonly made of Filter paper#Tea bags, filter paper or food grade plastic, food-grade plastic, or occasionally of silk cotton or silk. The tea bag performs the same function as a tea infuser. Tea bags can be used multiple times until there is no extraction left. Some tea bags have an attached piece of string with a paper label at the top that assists in removing the bag, while also displaying the brand or variety of tea. History Tea bag patents date from 1903 when Roberta Lawson and Mary Molaren, of Milwaukee, Wisconsin, were granted US patent 723287 for a Tea Leaf Holder, which they had filed for ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Andrew Kepert
Andrew is the English form of a given name common in many countries. In the 1990s, it was among the top ten most popular names given to boys in English-speaking countries. "Andrew" is frequently shortened to "Andy" or "Drew". The word is derived from the el, Ἀνδρέας, ''Andreas'', itself related to grc, ἀνήρ/ἀνδρός ''aner/andros'', "man" (as opposed to "woman"), thus meaning "manly" and, as consequence, "brave", "strong", "courageous", and "warrior". In the King James Bible, the Greek "Ἀνδρέας" is translated as Andrew. Popularity Australia In 2000, the name Andrew was the second most popular name in Australia. In 1999, it was the 19th most common name, while in 1940, it was the 31st most common name. Andrew was the first most popular name given to boys in the Northern Territory in 2003 to 2015 and continuing. In Victoria, Andrew was the first most popular name for a boy in the 1970s. Canada Andrew was the 20th most popular name chosen for mal ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
University Of Newcastle, Australia
The University of Newcastle (UON), informally known as Newcastle University, is a public university in Newcastle, New South Wales, Australia. Established in 1965, it has a primary campus in the Newcastle suburb of Callaghan. The university also operates campuses in Ourimbah, Port Macquarie, Singapore, Newcastle CBD and Sydney CBD. Historically, the University of Newcastle Medical School has implemented the problem-based learning system for its undergraduate Bachelor of Medicine program – a system later mandated for use by the Australian Medical Council throughout Australia. It pioneered use of the Undergraduate Medicine and Health Sciences Admission Test (UMAT) in the early 1990s. UMAT has since been accepted widely by different medical schools across Australia as an additional selection criteria. The University of Newcastle is a member of the Australian Technology Network, Universities Australia and the Association to Advance Collegiate Schools of Business. History ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Biscornu
A biscornu is a small, octagonal, stuffed ornamental pincushion. It is usually made out of Aida cloth or linen, sewn from two square sheets of cloth (forming the top and bottom of the cushion) in such a way that each corner of one square is hemmed to the middle of a side of the opposite square. Embroidery, hardanger, and/or cross-stitch are used to decorate the top and bottom of the cushion. A button is typically secured in the center of the cushion to give a small depression on the top. Beads, tassels and other objects can decorate the biscornu. They are typically able to fit in the palm of your hand. The name is derived from the French adjective, '' biscornu'', meaning skewed, quirky or irregular. Mathematically, two squares joined together in the pattern of a biscornu will form the boundary of a unique convex polyhedron, by Alexandrov's uniqueness theorem.. In the case of a biscornu, this polyhedron is a flattened square antiprism, with ten faces: two smaller squares (di ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mylar Balloon (geometry)
In geometry, a mylar balloon is a surface of revolution. While a sphere is the surface that encloses a maximal volume for a given surface area, the mylar balloon instead maximizes volume for a given generatrix arc length. It resembles a slightly flattened sphere. The shape is approximately realized by inflating a physical balloon made of two circular sheets of flexible, inelastic material; for example, a popular type of toy balloon made of aluminized plastic. Perhaps counterintuitively, the surface area of the inflated balloon is less than the surface area of the circular sheets. This is due to physical crimping of the surface, which increases near the rim. "Mylar balloon" is the name for the figure given by W. Paulson, who first investigated the shape. The term was subsequently adopted by other writers. "Mylar" is a trademark of DuPont. Definition The positive portion of the generatrix of the balloon is the function ''z''(''x'') where for a given generatrix length ' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Applied Mathematical Modelling
''Applied Mathematical Modelling'' is a scientific journal published by Elsevier, focusing on applied mathematics with an emphasis on mathematical modeling in engineering, environmental processes, manufacturing, and industrial systems.. The journal was established as a quarterly journal in 1976 by IPC Science and Technology Press with Christopher J. Rawlins as managing editor. The journal is currently published by Elsevier on a monthly basis, and is edited by Johann Sienz (Swansea University). Abstracting and indexing The journal is indexed and abstracted An abstracting service is a service that provides abstracts of publications, often on a subject or group of related subjects, usually on a subscription basis. An indexing service is a service that assigns descriptors and other kinds of access poin ... in the following bibliographic databases: References Elsevier academic journals Applied mathematics journals Monthly journals {{Mathematics-journal-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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