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Annals of Mathematics

The Annals of Mathematics is a mathematical journal published every two months by Princeton University and the Institute for Advanced Study. The journal was established as The Analyst in 1874 and with Joel E. Hendricks as the founding editor-in-chief, it was "intended to afford a medium for the presentation and analysis of any and all questions of interest or importance in pure and applied Mathematics, embracing all new and interesting discoveries in theoretical and practical astronomy, mechanical philosophy, engineering". It was published in Des Moines and was the earliest American mathematics journal to be published continuously for more than a year or two; this incarnation of the journal ceased publication after its tenth year, in 1883, giving as an explanation Hendricks' declining health, but Hendricks made arrangements to have it taken over by new management, it was continued from March 1884 as the Annals of Mathematics. The new incarnation of the journal was edited by Ormond Stone, it moved to Harvard in 1899 before reaching its current home in Princeton in 1911.

An important period for the journal was 1928–1958 with Solomon Lefschetz as editor. During this time, it became an well-known and respected journal, its rise, in turn, stimulated American mathematics. Norman Steenrod characterized Lefschetz' impact as editor as follows: "The importance to American mathematicians of a first-class journal is that it sets high standards for them to aim at. In this somewhat indirect manner, Lefschetz profoundly affected the development of mathematics in the United States."Princeton University continued to publish the Annals on its own until 1933, when the Institute for Advanced Study took joint editorial control. Since 1998 it has been available in an electronic edition, alongside its regular print edition; the electronic edition was available without charge, as an open access journal, but since 2008 this is no longer the case. Issues from before 2003 were transferred to the non-free JSTOR archive, articles are not available until 5 years after publication; the current editors of the Annals of Mathematics are David Gabai, Charles Fefferman, Nicholas M. Katz, Sergiu Klainerman, Fernando C.

Marques, Peter Sarnak. The journal is abstracted and indexed in the Science Citation Index, Current Contents/Physical, Chemical & Earth Sciences, Scopus. According to the Journal Citation Reports, the journal has a 2012 impact factor of 3.027, ranking it third out of 296 journals in the category "Mathematics". Official website

Rockdale, Kentucky

Rockdale is an unincorporated community in Boyd County, United States, located south of Ashland. It is located on Midland Trail at its intersection of Kentucky Route 538 and corridor into the city of Ashland, it was a rural area until the 1970s, when a large subdivision began development, with several hundred tract houses. Rockdale is a part of the Huntington-Ashland Metropolitan Statistical Area; as of the 2010 census, the MSA had a population of 287,702. New definitions from February 28, 2013 placed the population at 363,000. Boyd County Public Schools Chamber of Commerce

Bryan Fletcher (American football)

Bryan Jamaile Fletcher is a former American football tight end. He played college football for UCLA, was drafted in the 6th round of the 2002 NFL Draft by the Chicago Bears. Flecther won Super Bowl XLI with the Indianapolis Colts over the Bears. Bryan graduated from The University of California - Los Angeles in 2001 with a Bachelor of Arts degree in English and received a Master of Business Administration in Finance from The Kelley School of Business at Indiana University. After college, Bryan spent several years in the National Football League where his career culminated in the 2006 Super Bowl championship with the Indianapolis Colts organization. During his time with the Colts, Bryan was active in the community, donating his time visiting local schools and hospitals engaging in uplifting discussions and sharing his life experiences. With a mindset on public service, Bryan participated in one of the first international internships for an NFL player with his service at The U. S. Embassy in Madrid and with NFL Mexico.

Fluent in Spanish, Bryan continues to seek opportunities to impact the lives of youth within the U. S. and Mexico. He spent much of his post-professional football career in the financial industry. Most Bryan worked in Manhattan, New York where he was responsible for managing a portfolio of high net-worth clients. During his tenure, he was instrumental in introducing an innovative coverage strategy that allowed the firm to more efficiently meet the needs of a broad array of clients, his initiative and innovative thinking positioned Bryan as a leader amongst his peers and led to him being chosen to participate in the “Step Up To Lead” program for future leaders within the company. Bryan is an active volunteer within the San Diego community and serves on the San Diego County Civil Service Commission. Fletcher was a letterman in football, he finished his career with 30 receptions for 423 yards and three touchdowns, as a senior, he was an All-Pacific-10 Conference second team selection and won the UCLA Best Leadership Award.

In the three years with the Colts, he had 54 catches for 5 touchdowns. After the 2008 NFL Draft he was waived by the Colts. Bryan Fletcher – receiving statistics He is the younger brother of former San Diego Chargers running back Terrell Fletcher and older brother of Shaun Fletcher, former student-athlete and current Professor at San Jose State University

Constant function

In mathematics, a constant function is a function whose value is the same for every input value. For example, the function y = 4 is a constant function because the value of y is 4 regardless of the input value x; as a real-valued function of a real-valued argument, a constant function has the general form y = c or just y = c. Example: The function y = 2 or just y = 2 is the specific constant function where the output value is c = 2; the domain of this function is the set of all real numbers ℝ. The codomain of this function is just; the independent variable x does not appear on the right side of the function expression and so its value is "vacuously substituted". Namely y=2, y=2, y=2.... No matter what value of x is input, the output is "2". Real-world example: A store where every item is sold for the price of 1 euro; the graph of the constant function y = c is a horizontal line in the plane that passes through the point. In the context of a polynomial in one variable x, the non-zero constant function is a polynomial of degree 0 and its general form is f = c, c ≠ 0.

This function has no intersection point with the x-axis. On the other hand, the polynomial f = 0 is the identically zero function, it is the constant function and every x is a root. Its graph is the x-axis in the plane. A constant function is an function, i.e. the graph of a constant function is symmetric with respect to the y-axis. In the context where it is defined, the derivative of a function is a measure of the rate of change of function values with respect to change in input values; because a constant function does not change, its derivative is 0. This is written: ′ = 0; the converse is true. Namely, if y'=0 for all real numbers x y is a constant function. Example: Given the constant function y = − 2; the derivative of y is the identically zero function y ′ = ′ = 0. For functions between preordered sets, constant functions are both order-preserving and order-reversing; every constant function whose domain and codomain are the same set X is a left zero of the full transformation monoid on X, which implies that it is idempotent.

Every constant function between topological spaces is continuous. A constant function factors through the one-point set, the terminal object in the category of sets; this observation is instrumental for F. William Lawvere's axiomatization of set theory, the Elementary Theory of the Category of Sets; every set X is isomorphic to the set of constant functions into it. For each element x and any set Y, there is a unique function x ~: Y → X such that x ~ = x for all y ∈ Y. Conversely, if a function f: Y → X satisfies f = f for all y, y ′ ∈ Y, f is by definition a constant function; as a corollary, the one-point set is a generator in the category of sets. Every set X is canonically isomorphic to the function set X 1, or hom set hom ⁡ in the category of sets, where 1 is the one-point set; because of this, the adjunction between cartesian products and hom in the category of sets (so there is a canonical isomorphism between functions of two variables and functions of one variable valued in functions of another variable, hom ⁡ ≅ hom ⁡ the category of sets is a closed monoidal category with the cartesian product of sets as tensor

Margaret Marshall Saunders

Margaret Marshall Saunders CBE was a prolific Canadian writer of children's stories and romance novels, a lecturer, an animal rights advocate. She was an active member of the Local Council of Women of Halifax. Saunders was born April 13, 1861 in the village of Milton, Nova Scotia, one of four children born to Reverend Edmund M. and Maria Saunders. She spent most of her childhood in Nova Scotia where her father was a Baptist minister, she studied in Edinburgh and Orleans, France at the age of 15, before returning to Halifax, where she took courses at Dalhousie for a year prior to launching her career a freelance writer. It was in response to the male dominated nature of the publishing industry and she shortened her name to Marshall Saunders. Saunders is most famous for her novel Beautiful Joe, it tells the true story of a dog from Meaford, Ontario that had his ears and tail chopped off by an abusive owner as a puppy, but is rescued by a Meaford family whose lives he saves. The story is written from the dog's point of view, is compared to Black Beauty, released a few years earlier.

In 1889 Saunders submitted Beautiful Joe to the American Humane Education Society Prize Competition "Kind and Cruel Treatment of Domestic Animals and Birds in the Northern States", won a prize of $200. When the book was brought to publication in 1893, both the book and its subject received worldwide attention, it was the first Canadian book to sell over a million copies, by the late 1930s had sold over seven million copies worldwide. It was translated into many languages, including Esperanto. About Beautiful Joe, Marshall Saunders commented, "I have had the honour of leading the old Ontario dog around the world on a chain of translations and rejoice in the report that he has become quite a propagandist for humanitarianism". Following the publication of Beautiful Joe, along with author Lucy Maud Montgomery, founded the Nova Scotia branch of the Canadian Women's Press Club, going on to serve as the National Vice-President of the Maritime branchs of the club. Saunders wrote more than twenty other stories, a number of which provided social commentary on such things as the abolition of child labor, slum clearance, the improvement of playground facilities.

Saunders wrote newspaper articles about supervised playgrounds for city children and other social issues in the Halifax Morning Chronicle and the Toronto Globe. She lectured and belonged to many organizations including various humane societies. In 1914, Saunders moved into 66 St. George Street in downtown Toronto, moved in with her younger sister at 62 Glengowan Avenue. Margaret's house was always filled with pets including at one time 28 canaries, she had a tendency to name her pets after the locations where they had been found, once had a pigeon named 38 Front Street, a dog named Johnny Doorstep. Saunders Honorary Master of Arts from Acadia University. In 1911. In 1934, at age 73, Margaret was appointed Commander of the Order of the British Empire; that same year she received a medal from the Societe Protectice des Animaux in Paris, France. Saunders died in 1947 in Ontario where she had lived for a number of years, she is buried in Mount Pleasant Cemetery in Toronto. In 1953 a plaque was installed by the Nova Scotia Site and Monuments Board near the site where she was born in Milton, Nova Scotia, moved to Tupper Park.

In 1994, the Beautiful Joe Heritage Society was formed to celebrate the life and story of Beautiful Joe and Saunders' achievements. A park dedicated to Beautiful Joe has been established in Meaford, Canada My Spanish Sailor Beautiful Joe Charles and His Lamb For the Other Boy's Sake, Other Stories The House of Armour The King of the Park Deficient Saints For His Country Her Sailor Tilda Jane, An Orphan In Search of a Home Beautiful Joe's Paradise Nita, the Story of an Irish Setter The Story of Gravelys Princess Sukey.

Sidney Norman Bernstein

Sidney Norman Bernstein was an American chess master. He tied for 2nd-4th in Marshall Chess Club Championship at New York 1930/31, tied for 6-7th in New York State Chess Championship at Rome 1931, he played board two, behind Reuben Fine, on the victorious CCNY team in the 1931-32 Intercollegiate championships. He took 11th in the American Chess Federation Congress at Philadelphia 1936. Bernstein was a participant in eight U. S. Chess Championship events, he played thrice in Ventnor City, as he shared 1st in 1940, tied for 5-7th in 1941, tied for 3rd-6th in 1942. He tied for 1st with Reinfeld in Manhattan Chess Club Championship at New York 1942, took 8th in Manhattan CC in 1955, his career was well chronicled in his book Combat: My 50 Years at the Chessboard, but he was an infrequent writer on the game and was involved in only two other volumes. In the late 1930s he co-edited with Reinfeld a book on the Kemeri 1937 chess tournament, in 1947 the two collaborated on a revision of James Mason's The Art of Chess.

Top players that he scored wins against were Donald Byrne, multiple wins against Arnold Denker, multiple wins against Frank James Marshall, Edmar Mednis, Sammy Reshevsky, amongst others. Sidney Norman Bernstein player profile and games at