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Elias gamma coding

Elias γ code or Elias gamma code is a universal code encoding positive integers developed by Peter Elias. It is used most when coding integers whose upper-bound cannot be determined beforehand. To code a number x ≥ 1: Let N = ⌊ log 2 ⁡ x ⌋ be the highest power of 2 it contains, so 2N ≤ x < 2N+1. Write out N zero bits Append the binary form of x, an N+1-bit binary number. An equivalent way to express the same process: Encode N in unary. Append the remaining N binary digits of x to this representation of N. To represent a number x, Elias gamma uses 2 ⌊ log 2 ⁡ ⌋ + 1 bits; the code begins: To decode an Elias gamma-coded integer: Read and count 0s from the stream until you reach the first 1. Call this count of zeroes N. Considering the one, reached to be the first digit of the integer, with a value of 2N, read the remaining N digits of the integer. Gamma coding is used in applications where the largest encoded value is not known ahead of time, or to compress data in which small values are much more frequent than large values.

Gamma coding is a building block in the Elias delta code. Gamma coding does not code negative integers. One way of handling zero is to add 1 before coding and subtract 1 after decoding. Another way is to prefix each nonzero code with a 1 and code zero as a single 0. One way to code all integers is to set up a bijection. In software, this is most done by mapping non-negative inputs to odd outputs, negative inputs to outputs, so the least-significant bit becomes an inverted sign bit: { x ↦ 2 x + 1 w h e n x ≥ 0 x ↦ − 2 x w h e n x < 0 Exponential-Golomb coding generalizes the gamma code to integers with a "flatter" power-law distribution, just as Golomb coding generalizes the unary code. It involves dividing the number by a positive divisor a power of 2, writing the gamma code for one more than the quotient, writing out the remainder in an ordinary binary code. Elias delta coding Elias omega coding Posit Sayood, Khalid. "Levenstein and Elias Gamma Codes". Lossless Compression Handbook. Elsevier. ISBN 978-0-12-620861-0

Charles Taylor (cricketer, born 1966)

Charles William Taylor is a former English cricketer. Taylor was a left-handed batsman, he was born at Oxfordshire. Taylor first appeared in county cricket for Oxfordshire, making a single appearance for his home county in the 1986 Minor Counties Championship against Devon. Taylor made his first-class debut for Middlesex against Nottinghamshire in the 1990 County Championship, he made 32 further first-class appearances for the county, the last of which came against Oxford University in 1995. A bowler capable of brisk pace, in his 33 first-class appearances for Middlesex, he took a total of 72 wickets at an average of 33.62, with best figures of 5/33. These figures were his only first-class five wicket haul and came against Yorkshire in his second first-class appearance in 1990, his most successful season with the ball came in 1992, when he featured in eighteen first-class matches, taking 35 wickets at an average of 40.71. With the bat, he scored a total of 175 runs during his career, which came at a batting average of 10.93, with a high score of 28 not out.

Taylor played List A cricket for Middlesex, with his debut in that format coming against Gloucestershire in the 1991 Refuge Assurance League. He made eleven further List A appearances for the county, the last of which came against Yorkshire in the 1994 AXA Equity & Law League. In his twelve List A appearances, he took a total of 8 wickets at an average of 43.87, with best figures of 2/33. His career ended in a freak accident in which he injured his back, while changing the tyre on his car after suffering a puncture when the security poles inside the Grace Gates at Lord's activated while he was driving over them. Charles Taylor at ESPNcricinfo Charles Taylor at CricketArchive

Enrico Braga

Enrico Braga was an Italian-Swiss sculptor, active in Neoclassical and Romantic styles. He was trained in the Brera Academy. At the 1880 National Exposition of Fine Arts of Turin, he displayed a series of statues, including Rataplan. At the 1883 Roman Exposition, he displayed two female statues: a Daughter of the La Rèverie, he displayed a Bacchus, a Garibaldi on July 25, 1866, La Touriste. A monument to Garibaldi by Braga is standing in Novara, his Cleopatra and Bacchus were exhibited in Paris in 1878. The former was displayed at the 1876 Centennial Exposition in Philadelphia, Pennsylvania as part of the Egyptian Hall; the statue was felt to be the sculpted representation of a figure painted by Gérôme. He became an Associate member of the Royal Academy of Fine Arts in Milan and of St Petersburg, Russia

Kingwood Center

The Kingwood Center Gardens is a historic 47-acre site with a house and greenhouses, located at 50 N. Trimble Road in Mansfield, Ohio. Mr. Charles Kelley King began making his fortune when he was hired by the Ohio Brass Company as its first electrical engineer in 1893, he led Ohio Brass into new ventures the manufacture of electrical fittings for railroads and trolleys. Mr. King was responsible for much of the company's success and he became President and Chairman of the Board of Ohio Brass. Mr. King was married and divorced twice, had no children; the house and grounds were built in 1926 for King and his second wife, with grounds designed by Cleveland landscape architecture firm Pitkin and Mott. One year after his death in 1952, the 47-acre estate opened as a public garden to a private foundation that continues to operate Kingwood Center today. On November 7, 1976, it was added to the National Register of Historic Places. In 1953 the estate became a public garden; the gardens are now open daily from 10am to 7pm.

Admission is $5 per person, free for members and volunteers. Estate grounds include the following collections: Cacti and Succulent House - cacti and succulents. Daylily and Iris Collection - about 200 daylily cultivars, 54 Siberian iris cultivars, 50 cultivars of tall bearded iris, 10 cultivars of reblooming tall bearded iris. Herb Garden - a knot garden in six sections, of herbs in juniper and boxwood edging. Historic Garden - a sequence of connected "rooms" enclosed by hedges, each built around a central feature such as a sunken garden, a small circular pool, a swimming pool, or a bronze sculpture of Pan. Parterre - boxwood edging filled with seasonal tulips and annuals. Peony Garden - over 170 cultivars of herbaceous peonies. Perennial Garden - over 300 varieties of perennial plants in large borders. Rose Garden - nearly 500 roses hybrid teas and grandifloras, as well as a new section of David Austin roses. Terrace - seasonal beds of tulips and annuals, with a variety of shrubs. Tropical House - tropical plants, including Acalypha hispida, Acalypha wilkesiana'Obovata Cristata', Codiaeum, Cordyline fruticosa'Fire Brand', Dichorisandra warscewicziana, Ficus deltoidea, Jatropha integerrima, Justicia brandegeeana, Rivina humilis.

Woodland - under development. List of botanical gardens in the United States https://myoncell.mobi/stops.php?acct_num=10994742897&stop=2 Kingwood Center

2016 FA Community Shield

The 2016 FA Community Shield was the 94th FA Community Shield, an annual English football match played between the winners of the previous season's Premier League and FA Cup. The match was contested by 2015–16 FA Cup winners Manchester United, Leicester City, champions of the 2015–16 Premier League, it was held at Wembley Stadium a week. Manchester United won the match 2–1 with goals from Jesse Lingard and Zlatan Ibrahimović, either side of a goal from Leicester striker Jamie Vardy. Leicester City qualified as champions of the 2015–16 Premier League, they won the title after then-second place Tottenham Hotspur drew 2–2 to Chelsea in Stamford Bridge on 2 May 2016. It was only their second FA Charity/Community Shield, first since 1971, when they defeated Liverpool 1–0, it was the first time they played as champions/runners–up of either top division league or FA Cup winners, as they played in 1971 as Second Division champions. Manchester United qualified as winners of the 2015–16 FA Cup, they defeated Crystal Palace 2–1 after extra time on 21 May 2016 to win their 12th title.

It was their 30th FA Charity/Community Shield, winning a record 20. The previous match between the two sides was a 1–1 draw at Old Trafford on 1 May 2016. Anthony Martial scored for United in the eighth minute, while Leicester captain Wes Morgan equalised nine minutes later. Manchester United manager José Mourinho returned to the Community Shield for the second straight year, after managing for Chelsea in the 2015 FA Community Shield. Jesse Lingard opened the scoring in the 32nd minute when he ran and got past three Leicester players before shooting low with his right foot past the onrushing Leicester goalkeeper Kasper Schmeichel who managed to get something on the shot but could not prevent it going into the net. Jamie Vardy made it 1–1 in the 52nd minute when he intercepted Marouane Fellaini's no-look back-pass before rounding David de Gea and slotting the ball low to the net with his left foot. Zlatan Ibrahimović got the winning goal for Manchester United in the 83rd minute when got above Leicester captain Wes Morgan and headed in from six yards out into the right corner off the post after a cross from the right by Antonio Valencia.

2016–17 Premier League 2016–17 FA Cup

Douglas (locomotive)

Douglas is a narrow gauge steam locomotive. It was built by Andrew Barclay Sons & Co. Ltd. in 1918. It was used by the Air Service Constructional Corps was bought in 1949 by Abelson & Co. Ltd. who sold it to the Talyllyn Railway in 1953. After being handed over to the RAF on 21 February 1918 the engine was first used at Manston by the Admiralty Air Construction Service. From October 1921 onwards Douglas spent most of its working life at RAF Calshot near Southampton. In April 1949 it was sold at auction and bought for £60 by an engineering company called Abelson & Co Ltd. In the early days of preservation, the Talyllyn Railway had contacted this and other similar firms, asking for redundant equipment. Abelson's offered the locomotive to the Talyllyn, in return they named it after the donor, Douglas Abelson. After presentation in 1953 the locomotive was retubed and converted from 2ft gauge at Griffin Foundry, Oldbury before being taken by road to Tywyn. At the same time as the conversion the engine's buffers were changed from a single centred buffer at each end to pairs of buffers.

The cab was extended backwards by about 6 inches to allow the engine's leaver brake to be replaced by a screw brake. Although smaller than the other locomotives on the Talyllyn Railway, it has performed well and was returned to service in 1995, with a new boiler fitted, turned out in its old Air Ministry Works & Buildings livery. In recent years Douglas has been painted in standard Talyllyn Railway livery of deep bronze green lined with black borders and yellow lining. In February 2018, to mark the centenary of both the locomotive and the RAF, it was painted RAF blue. All the steam-operated engines on the Talyllyn Railway appeared many times in The Railway Series books by the Rev. W. Awdry on the Skarloey Railway. Talyllyn's and Dolgoch's counterparts were Rheneas, respectively. Sir Haydn and Edward Thomas are represented in the series by Sir Handel and Peter Sam, whose original names were Falcon and Stuart. Douglas formed the basis for the character Duncan