Xiangqi called Chinese chess, is a strategy board game for two players. It is one of the most popular board games in China, is in the same family as Western chess, shogi, Indian chess and janggi. Besides China and areas with significant ethnic Chinese communities, xiangqi is a popular pastime in Vietnam, where it is known as cờ tướng; the game represents a battle between two armies, with the object of capturing the enemy's general. Distinctive features of xiangqi include the cannon. Xiangqi is played on a board ten lines long; as in the game Go, the pieces are placed on the intersections. The vertical lines are known as files, the horizontal lines are known as ranks. Centred at the first to third and eighth to tenth ranks of the board are two zones, each three points by three points, demarcated by two diagonal lines connecting opposite corners and intersecting at the centre point; each of these areas is known as a castle. Dividing the two opposing sides, between the fifth and sixth ranks, is 河 hé, the "river".

The river is marked with the phrases 楚河 chǔ hé, meaning "River of the Chu ", 漢界, hàn jiè, meaning "Border of the Han", a reference to the Chu–Han War. Although the river provides a visual division between the two sides, only two pieces are affected by its presence: soldiers have an enhanced move after crossing the river, elephants cannot cross it; the starting points of the soldiers and cannons are but not always, marked with small crosses. The pieces start in the position shown in the diagram above. Which player moves first has varied from one part of China to another. Different xiangqi books advise either that the red side moves first; some books refer to the two sides as south. Red moves first in most modern tournaments; each player in turn moves one piece to another point. Pieces are not permitted to move through a point occupied by another piece. A piece can be moved onto a point occupied by an enemy piece, in which case the enemy piece is captured and removed from the board. A player cannot capture one of his own pieces.

Pieces are never promoted. All pieces capture using their normal moves, while the cannon has a special capture move described below; the game ends. When the general is in danger of being captured by the enemy player on his next move, the enemy player has "delivered a check", the general is "in check". A check should be announced. If the general's player can make no move to prevent the general's capture, the situation is called "checkmate". Unlike in chess, in which stalemate is a draw, in xiangqi, it is a loss for the stalemated player. In xiangqi, a player—often with a material or positional disadvantage—may attempt to check or chase pieces in a way such that the moves fall in a cycle, forcing the opponent to draw the game; the following special rules are used to make it harder to draw the game by endless checking or chasing, regardless of whether the positions of the pieces are repeated or not: A player making perpetual checks with one piece or several pieces can be ruled to have lost unless he or she stops such checking.

A player who perpetually chases any one unprotected piece with one or more pieces, excluding generals and soldiers, will be ruled to have lost unless he or she stops such chasing. If one side perpetually checks and the other side perpetually chases, the checking side has to stop or be ruled to have lost; when neither side violates the rules and both persist in not making an alternate move, the game can be ruled as a draw. When both sides violate the same rule at the same time and both persist in not making an alternate move, the game can be ruled as a draw. Different sets of rules set different limits on. For example, club xiangqi rules allow a player to check or chase six consecutive times using one piece, twelve times using two pieces, eighteen times using three pieces before considering the action perpetual; the above rules to prevent perpetual checking and chasing, while popular, are not the only ones. Each player controls an army of 16 pieces. Pieces are flat circular disks labeled or engraved with a Chinese character identifying the piece type, in a colour indicating which player has ownership.

The black pieces are marked with somewhat different characters from the corresponding red pieces. In mainland China, most sets still use traditional Chinese characters. Modern pieces are plastic, though some sets are wooden, more expensive sets may use jade. In more ancient times, many sets were simple unpainted woodcarvings.

Zoya Sergeyevna Mironova was a Russian speed skater and sports physician, one of the founders of the sports traumatology in the Soviet Union. She was the head surgeon of the Soviet Olympic team between 1952 and 1976, operated Olympic champions including Valentin Muratov, Sofia Muratova, Yury Vlasov, Alexander Yakushev and Aleksandr Karshakevich. Mironova took up speed skating aged six. In 1933–34 she won the Soviet all-around speed skating title, set a few national records, her skating career went downhill in 1935 when she entered the I. M. devoted herself to medicine. She had her first field experience with sports injuries in 1938, when she worked as a doctor at an intercity cycling road race; the same year she injured her knee before the Soviet speed skating championships. While recovering from surgery she decided to become a sports surgeon herself, her plans were interrupted by World War II. Based on that extensive five-year experience, in 1946 she defended a PhD on the hip surgery after a gun wound.

In 1951, when the Soviet Union became member of the International Olympic Committee, Nikolai Priorov was appointed as the head physician of the Soviet Olympic team. He selected his assistants among former athletes such as Mironova. For political reasons, neither Priorov nor Mironova were allowed to travel abroad; the ban on Mironova was lifted only in 1956, when she presented a report on Achilles tendon surgeries at an international sports medicine conference in Luxembourg. She attended the 1956 Summer Olympics as the head surgeon for the Soviet team. After the 1952 Olympics Priorov founded the Soviet Institute of Traumatology and appointed Mironova as head of the Sport and Ballet Traumatology Department. Between 1952 and 1962 she performed 931 knee surgeries, in 1962 defended a habilitation on knee injuries in sport. Besides the knee, Mironova was a specialist in injuries of the shoulder and Achilles tendon. In 1954, together with Priorov she operated the gymnast Valentin Muratov, who tore his Achilles tendon before the 1954 World Championships, went on to win four gold medals at those championships, four months after the surgery.

In 1960 Mironova performed a knee surgery on Valentin's wife, Sofia Muratova. Muratova went on to win three medals at the 1960 Olympics, presented the gold one to Mironova as a token of gratitude. In 1960 Mironova operated Yury Vlasov, who had developed carbuncles in his hips and had a high fever. Vlasov became a hero of the 1960 Olympics by winning the gold medal in heavyweight weightlifting. Mironova continued working with the Soviet national team at all Olympics up to 1980, she performed her last surgery in 1990, aged 77, continued consulting doctors up to the age of 93. In 1976 and 1980 she received the Olympic Order for her contribution to the Olympic movement, becoming the first Soviet person to receive the Olympic Order. In 1931 Mironova married the cyclist Pavel Mironov, their both sons and Sergey, became renown surgeons. Sergey took over her mother's department after her retirement in 1983

Financial signal processing is a branch of signal processing technologies which applies to financial signals. They are used by quantitative investors to make best estimation of the movement of equity prices, such as stock prices, options prices, or other types of derivatives; the early history of financial signal processing can be traced back to Isaac Newton. Newton lost money in the famous South Sea Company investment bubble; the modern start of financial signal processing is credited to Claude Shannon. Shannon was the inventor of modern communication theory, he discovered the capacity of a communication channel by analyzing entropy of information. For a long time, financial signal processing technologies have been used by different hedge funds, such as Jim Simon's Renaissance Technologies. However, hedge funds do not reveal their trade secrets; some early research results in this area are summarized by R. H. Tütüncü and M. Koenig and by T. M. Cover, J. A. Thomas. A. N. Akansu and M. U. Torun published the book in financial signal processing entitled A Primer for Financial Engineering: Financial Signal Processing and Electronic Trading.

An edited volume on the subject with the title Financial Signal Processing and Machine Learning was published. There were two special issues of IEEE Journal of Selected Topics in Signal Processing published on Signal Processing Methods in Finance and Electronic Trading in 2012, on Financial Signal Processing and Machine Learning for Electronic Trading in 2016 in addition to the special section on Signal Processing for Financial Applications in IEEE Signal Processing Magazine appeared in 2011. A new research group in Imperial College London has been formed which focuses on Financial Signal Processing as part of the Communication and Signal Processing Group of the Electrical and Electronic Engineering department, led by Anthony G. Constantinides. In June 2014 the group started a collaboration with the Schroders Multi-Asset Investments and Portfolio Solutions team on multi-asset study. Other research groups working on the financial signal processing include the Convex Research Group of Prof. Daniel Palomar and ​the Signal Processing and Computational Biology Group led by Prof.

Matthew R. McKay at the Hong Kong University of Science and Technology and Stanford University Convex Optimization Group led by Prof. Stephen Boyd at the Stanford University. There are open source libraries available for index tracking and portfolio optimization. Vivienne Investissement: multifractality for asset price, covariance estimation for asset allocation.

Jacobi's four-square theorem gives a formula for the number of ways that a given positive integer n can be represented as the sum of four squares. The theorem was proved in 1834 by Carl Gustav Jakob Jacobi. Two representations are considered different if their terms are in different order or if the integer being squared is different; the number of ways to represent n as the sum of four squares is eight times the sum of the divisors of n if n is odd and 24 times the sum of the odd divisors of n if n is i.e. r 4 = { 8 ∑ m | n m if n is odd 24 ∑ m | n m odd m if n is even. Equivalently, it is eight times the sum of all its divisors which are not divisible by 4, i.e. r 4 = 8 ∑ m ∣ n, 4 ∤ m m. We may write this as r 4 = 8 σ − 32 σ, where the second term is to be taken as zero if n is not divisible by 4. In particular, for a prime number p we have the explicit formula r4 = 8; some values of r4 occur infinitely as r4 = r4 whenever n is even. The values of r4/n can be arbitrarily large: indeed, r4/n is infinitely larger than 8√log n.

The theorem can be proved by elementary means starting with the Jacobi triple product. The proof shows that the Theta series for the lattice Z4 is a modular form of a certain level, hence equals a linear combination of Eisenstein series. Lagrange's four-square theorem Lambert series Sum of squares function Hirschhorn, Michael D.. "Algebraic Consequences of Jacobi's Two— and Four—Square Theorems". In Garvan, F. G.. H.. Symbolic Computation, Number Theory, Special Functions and Combinatorics. Developments in Mathematics. 4. Springer. Pp. 107–132. CiteSeerX 10.1.1.26.9028. Doi:10.1007/978-1-4613-0257-5_7. ISBN 978-1-4020-0101-7. Hirschhorn, Michael D.. "A simple proof of Jacobi's four-square theorem". Proceedings of the American Mathematical Society. 101: 436. Doi:10.1090/s0002-9939-1987-0908644-9. Williams, Kenneth S.. Number theory in the spirit of Liouville. London Mathematical Society Student Texts. 76. Cambridge University Press. ISBN 978-0-521-17562-3. Zbl 1227.11002. Weisstein, Eric W. "Sum of Squares Function".

MathWorld

United Campaign Workers is a union for canvassers, including street fundraisers, paid petitioners for ballot initiatives. It is an organizing project of the Industrial Workers of the World, that publicly spread to three political campaigns in the summer of 2014 in Portland, Oregon; the project began when canvassers walked off the job at the Campaign for the Restoration and Regulation of Hemp, citing mismanagement and late paychecks. The campaign spread a few weeks to Grassroots Campaigns, Inc. a fundraiser for NGOs and political action committees, with workers alleging violation of the Portland sick day ordinance, as well as high turnover due to their $130 a day fundraising quota. The campaign spread to Fieldworks, LLC, a field organizing contractor. Union supporters discovered that the voter registration drive Fieldworks was employing them in was funded by AFSCME and several other trade unions; the union has attracted controversy for militant demands submitted to management, including a demand for free medical marijuana from the chief petitioners of the Campaign for the Restoration and Regulation of Hemp

Maidenhead Rowing Club is a rowing club, on the River Thames in England at Maidenhead, Berkshire. The clubhouse is on the reach above Bray Lock on the Maidenhead bank of the Thames between Maidenhead Railway Bridge and Maidenhead Bridge; the club races at local and national events with considerable success. The club's colours are Brunswick green and white, its symbol is a five-pointed star. There is a coat of arms used on the club's blazer badges, which features a shield with a five-pointed star on one half, a'Maiden's head' on the other half, with a pair of crossed oars and arm above it, the words'Manu Forti' below it. Early years The earliest record of rowing in Maidenhead is from July 5, 1839, where a regatta was held on the Cliveden Reach several weeks after the first-ever Henley Regatta. Two boats from Maidenhead competed for the Town Cup for four-oared boats - the'Star' and the'Lady of the Lake'; the following year,'The Star' club from Maidenhead entered the District Challenge Cup at Henley Regatta.

The crew was formed of H. Fuller, G. Robinson, J. Brown and W. Brown, they were beaten in the first round by the'Albion' club from Henley. Little is known about'The Star' rowing club, after this inaugural appearance at Henley, this club seemed to disappear, no known rowing club existed between 1840 and 1876. Regattas were held in Maidenhead over this time period - in fact the first rowing almanac gives details of a regatta held in Maidenhead in 1860, some sources cite that regattas were held annually from 1839-50. Crews and scullers from Maidenhead did compete at various regattas during this intermittent time period, but never seemed to belong to a particular rowing club. Club formation In 1876, a letter to the Maidenhead Advertiser questioned why a town with such proximity to the river did not have a rowing club or an annual regatta. "To the editor. SIR - The well-timed suggestion of your "Local Looker-on" that Maidenhead should have a Town Boating Club is in great part practicable; the members of the Early Closing Association might form such a club, but their only opportunities to practice would be Thursday evenings, they would struggle in preparing a good crew, sending them to Marlow or Henley.

There is no reason, why the many young men in Maidenhead who have both time and means at their disposal should not organise such a club. Indeed, the only wonder is. Many times I have heard visitors express their surprise that Maidenhead, a town for which the river has done so much, should have so little to do for itself; this remark is justified by the fact that our river-side town has neither Flower Show nor Regatta. Hoping that you will bring public opinion to bear on this matter. I am, yours truly. AN EMPLOYER" In response, a group of individuals amassed at the Bear Hotel in Maidenhead, in the town hall, with the intention of forming a rowing club; those present were as follows: Mr Hall-Say, Alderman Durrant, Messrs Jeffries, H. Clark, Bennett, J. D. Broome, Hammond, J. Burnham, W. Clark, J. Fuller, Lester, E. Hewitt, Puttick, F. Burnham, Britton, Jackson, Davey, H. Woodhouse, Baylis and Aldridge. Club rules and constitution were established, which included references to amateurism which were in line with what other clubs had at the time.

The club colours were maroon and gold, but an unknown time became the current colours and a five-pointed star became the symbol of the club - a connection was made between the town's original rowing club and the current one and the symbol was'reinstated'. An annual regatta organised by the club was established and came to be a popular event; the club struggled with success in its first few years, entering the Town Challenge Cup at the Henley Royal Regatta in 1878 and 1883, being eliminated. A four had considerable success at local regattas in the late 1890s, these came more and more as the club developed. 1900–present The first big victory for the club came in 1924, where the crew of. G. Jackson, H. G. E. Woods, J. G. Barley, H. J. Fowlie, S. A. Quarterman, R. R. Waterer, W. Boulton, J. H. Waizeneker, A. E. Grenn, coached by Capt. H. Booth-Mason won the Thames Challenge Cup at Henley, after a similar crew lost in the final of the same event in 1923. A similar crew raced the Grand Challenge Cup in 1925, lost out to London Rowing Club by a mere 5 feet.

The success in 1924 prompted for the club to extend its premises. The clubhouse before this was a small building, with a shed adjacent to it used to store boats. In 1926, Jack Arnold led the construction of a much bigger boathouse adjacent to the original clubhouse - both were sandwiched between Maidenhead Bridge and the Thames Riviera Hotel; this boathouse would serve the club well into the end of the century. A second win at Henley came in 1939. C. D. Eastick, F. L. Ashton, J. G. Bissett, A. J. Lion, coached by S. A. Quarterman, took the Wyfold Challenge Cup, beating Tigre Boat Argentina in the final; this win proved exceptionally popular, as it was one of the few events that year, won by an English crew. Aubrey Lion, who stroked the four, became president of the club in 1977. At the 1948 Olympics in London, the club's Bert Bushnell teamed up with Leander Club's Richard Burnell to win the double sculls, their journey to this gold medal, which saw them put together by Jack Beresford only six weeks before the games