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Pollard Family
Pollard may refer to: Places in the United States * Pollard, Alabama, a town * Pollard, Arkansas, a city * Pollard, Kansas, an unincorporated community People * Pollard (surname), a list of people with the surname * Pollard Hopewell (between 1786 and 1789 – 1813), midshipman in the United States Navy * Charles Pollard Olivier (1884–1975), American astronomer * James Pollard Espy (1785–1860), American meteorologist * Ngoia Pollard Napaltjarri (c. 1948–2022), Australian indigenous (Warlpiri people) artist * Thomas Pollard Sampson (1875–1961), Australian architect Flora and fauna *Pollard, a tree affected by pollarding (cropping of the upper branches) *Pollard, a deer which has cast its antlers *Pollard or polled livestock, hornless livestock of normally-horned species *Pollard, the European chub (''Squalius cephalus''), a freshwater fish Mathematics *Several algorithms created by British mathematician John Pollard: ** Pollard's kangaroo algorithm ** Pollard's ''p'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pollard, Alabama
Pollard is a town in Escambia County, Alabama, Escambia County, Alabama, United States. At the 2020 United States census, 2020 census, the population was 128. History Pollard was the first established county seat of Escambia County, from its creation in 1868 until 1883, when it lost that distinction to Brewton, Alabama, Brewton. The community is named for Charles T. Pollard, the founder of the Alabama and Florida Railroad (1853–1869), Alabama and Florida Railroad. This railroad constructed a line which connect Pollard with Montgomery, Alabama, Montgomery and Pensacola, Florida, Pensacola. During the American Civil War, Civil War, the Confederate States Army constructed Camp Pollard just north of the town, which protected the railroad junction and served as a training camp. In December 1864, Brigadier General Alexander Asboth commanded Colonel George Robinson to lead a force from Fort Barrancas to attack Pollard with the goal of destroying the Mobile and Great Northern Railroad ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Polled Livestock
Polled livestock are livestock without horns in species which are normally horned. The term refers to both breeds and strains that are naturally polled through selective breeding and also to naturally horned animals that have been disbudded. Natural polling occurs in cattle, yaks, water buffalo, and goats, and in these animals it affects both sexes equally; in sheep, by contrast, both sexes may be horned, both polled, or only the females polled. The history of breeding polled livestock starts about 6000 years BC. Terminology The archaic term or is sometimes used to refer to hornless livestock (especially cattle) in folk songs, folk tales, and poetry, and in the name of the polled Irish Moiled cattle breed. "Muley" derives from Irish and Scottish Gaelic ''maol'', and Welsh ''moel''. Genetics In cattle, the polled allele is genetically dominant to that for horns. The polled trait is far more common in beef breeds than in dairy breeds. CRISPR technology is being develope ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Bran
Bran, also known as miller's bran, is the component of a Cereal, cereal grain consisting of the hard layersthe combined aleurone and Fruit anatomy#Pericarp layers, pericarpsurrounding the endosperm. Maize, Corn (maize) bran also includes the pedicel (tip cap). Along with the cereal germ, germ, it is an integral part of whole grains, and is often produced as a byproduct of mill (grinding), milling in the production of refined grains. Bran is highly nutritious, but is difficult to digest due to its high fiber content; its high fat content also reduces its shelf life as the oils/fats are prone to becoming rancid. As such, it is typically removed from whole grain during the Refined grains, refining processe.g. in processing wheat grain into white flour, or refining brown rice into white rice. Bran is present in cereal grain, including rice, maize, corn (maize), wheat, oats, barley, rye, and millet. Bran is not the same as chaff, which is a coarser, scaly material surrounding the gr ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pollard (novel)
''Pollard'' is the debut novel of Laura Beatty, first published in hardback in 2008 by Chatto & Windus and the following year in paperback by Vintage Books. This was her first novel though she had previously written biographies. It won the Authors' Club Best First Novel Award and was shortlisted for the Ondaatje Prize Plot introduction The novel concerns Anne, a teenager who leaves her chaotic home life and finds sanctuary in the nearby woods where she makes a new life for herself, foraging and hunting for food and building a house... Inspiration The author lives in Salcey Forest in Northamptonshire, one of the few remaining medieval hunting forests in England and which provided the inspiration for the novel, including a tree-top walkway and survival courses. Reception * Justine Jordan in ''The Guardian'' praises that 'Beatty has a wonderful ear for voice, especially the voices of children, and the characters she constructs through Anne's skewed perception are funny and hear ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pollard (coin)
Pollard may refer to: Places in the United States * Pollard, Alabama, a town * Pollard, Arkansas, a city * Pollard, Kansas, an unincorporated community People * Pollard (surname), a list of people with the surname * Pollard Hopewell (between 1786 and 1789 – 1813), midshipman in the United States Navy * Charles Pollard Olivier (1884–1975), American astronomer * James Pollard Espy (1785–1860), American meteorologist * Ngoia Pollard Napaltjarri (c. 1948–2022), Australian indigenous (Warlpiri people) artist * Thomas Pollard Sampson (1875–1961), Australian architect Flora and fauna *Pollard, a tree affected by pollarding (cropping of the upper branches) *Pollard, a deer which has cast its antlers *Pollard or polled livestock, hornless livestock of normally-horned species *Pollard, the European chub (''Squalius cephalus''), a freshwater fish Mathematics *Several algorithms created by British mathematician John Pollard: ** Pollard's kangaroo algorithm ** Pollard's ''p'' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pollard's Rho Algorithm
Pollard's rho algorithm is an algorithm for integer factorization. It was invented by John Pollard in 1975. It uses only a small amount of space, and its expected running time is proportional to the square root of the smallest prime factor of the composite number being factorized. Core ideas The algorithm is used to factorize a number n = pq, where p is a non-trivial factor. A polynomial modulo n, called g(x) (e.g., g(x) = (x^2 + 1) \bmod n), is used to generate a pseudorandom sequence. It is important to note that g(x) must be a polynomial. A starting value, say 2, is chosen, and the sequence continues as x_1 = g(2), x_2 = g(g(2)), x_3 = g(g(g(2))), etc. The sequence is related to another sequence \. Since p is not known beforehand, this sequence cannot be explicitly computed in the algorithm. Yet in it lies the core idea of the algorithm. Because the number of possible values for these sequences is finite, both the \ sequence, which is mod n, and \ sequence will eventually ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pollard's P − 1 Algorithm
Pollard's ''p'' − 1 algorithm is a number theoretic integer factorization algorithm, invented by John Pollard in 1974. It is a special-purpose algorithm, meaning that it is only suitable for integers with specific types of factors; it is the simplest example of an algebraic-group factorisation algorithm. The factors it finds are ones for which the number preceding the factor, ''p'' − 1, is powersmooth; the essential observation is that, by working in the multiplicative group modulo a composite number ''N'', we are also working in the multiplicative groups modulo all of ''Ns factors. The existence of this algorithm leads to the concept of safe primes, being primes for which ''p'' − 1 is two times a Sophie Germain prime ''q'' and thus minimally smooth. These primes are sometimes construed as "safe for cryptographic purposes", but they might be ''unsafe'' — in current recommendations for cryptographic strong primes (''e.g.' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pollard's Kangaroo Algorithm
In computational number theory and computational algebra, Pollard's kangaroo algorithm (also Pollard's lambda algorithm, see Naming below) is an algorithm for solving the discrete logarithm problem. The algorithm was introduced in 1978 by the number theorist John M. Pollard, in the same paper as his better-known Pollard's rho algorithm for solving the same problem. Although Pollard described the application of his algorithm to the discrete logarithm problem in the multiplicative group of units modulo a prime ''p'', it is in fact a generic discrete logarithm algorithm—it will work in any finite cyclic group. Algorithm Suppose G is a finite cyclic group of order n which is generated by the element \alpha, and we seek to find the discrete logarithm x of the element \beta to the base \alpha. In other words, one seeks x \in Z_n such that \alpha^x = \beta. The lambda algorithm allows one to search for x in some interval ,\ldots,bsubset Z_n. One may search the entire range of pos ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Pollard (mathematician)
John M. Pollard (born 1941) is a British mathematician who has invented algorithms for the factorization of large numbers and for the calculation of discrete logarithms. His factorization algorithms include the rho, ''p'' − 1, and the first version of the special number field sieve, which has since been improved by others. His discrete logarithm algorithms include the rho algorithm for logarithms and the kangaroo algorithm. He received the RSA Award for Excellence in Mathematics Formally called since 2025 The RSAC Conference Award for Excellence in Mathematics, is an annual award. It is announced at the annual RSA Conference in recognition of innovations and contributions in the field of cryptography. An award committee o .... External links John Pollard's web site Living people 20th-century British mathematicians 21st-century British mathematicians British number theorists Place of birth missing (living people) 1941 births {{UK-mathematician- ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
European Chub
''Squalius cephalus'', the common chub, European chub or simply chub, is a species of freshwater ray-finned fish belonging to the family Leuciscidae, the daces, Eurasian minnows and related fishes. This species is found in Europe where it frequents both slow and moderate rivers, as well as canals, lakes and still waterbodies of various kinds. Description It is a stocky fish with a large rounded head. Its body is long and cylindrical in shape and is covered in large greenish-brown scales which are edged with narrow bands of black across the back, paling to golden on the flanks and even paler on the belly. The tail is dark brown or black, the dorsal fin is a greyish-green in colour and all the other fins are orange-red. The dorsal fin has 3 spines and 7–9 soft rays while the anal fin has 3 spines and 7–10 rays. The vertebrae count is 42–48. It can grow to 60 cm standard length but most fish are around 30 cm. Distribution The chub is distributed throughout most of ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Antler
Antlers are extensions of an animal's skull found in members of the Cervidae (deer) Family (biology), family. Antlers are a single structure composed of bone, cartilage, fibrous tissue, skin, nerves, and blood vessels. They are generally found only on males, with the exception of Reindeer, reindeer/caribou. Antlers are Moulting, shed and regrown each year and function primarily as objects of sexual attraction and as Weapon (biology), weapons. Etymology Antler comes from the Old French ''antoillier ''(see present French : "Andouiller", from'' ant-, ''meaning before,'' oeil, ''meaning eye and'' -ier'', a suffix indicating an action or state of being) possibly from some form of an unattested Latin word ''*anteocularis'', "before the eye" (and applied to the word for "branch" or "horn (anatomy), horn"). Structure and development Antlers are unique to cervids. The ancestors of deer had tusks (long upper canine tooth, canine teeth). In most species, antlers appear to replace t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pollard, Arkansas
Pollard is a city in Clay County, Arkansas, United States. The population was 222 at the 2010 census. History Pollard is named for a family of early settlers who operated a general store that became home to the town's post office in 1876. The post office briefly moved to the nearby Tucker plantation and became known as "Advance," but was eventually restored to Pollard. A railroad line was constructed through Pollard in 1914 to serve area timber operations, and a town was platted around the newly constructed depot. Pollard incorporated in 1921. Geography Pollard is located at (36.430686, -90.268820). The town is located at the intersection of U.S. Route 62 and Arkansas Highway 139, northwest of Piggott, and a few miles south of the Arkansas-Missouri state line. According to the United States Census Bureau, the town has a total area of 0.8 km (0.3 mi2), all land. Demographics As of the census of 2000, there were 240 people, 96 households, and 72 families residin ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
