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John Urschel
John Cameron Urschel (born June 24, 1991) is a Canadian-American mathematician, former professional American football guard and center and chess player. He played college football at Penn State and was drafted by the Baltimore Ravens in the fifth round of the 2014 NFL Draft. Urschel played his entire NFL career with Baltimore before announcing his retirement on July 27, 2017, at 26 years old. Urschel has bachelor's and master's degrees (both from Penn State) and a doctorate (from the Massachusetts Institute of Technology), all in mathematics. He has published peer-reviewed articles in mathematics.Alexandra Wolfe.John Urschel: From the NFL to MIT. ''The Wall Street Journal'', March 3, 2016. Accessed October 30, 2016.Michael S. Rosenwald.. ''The Washington Post'', October 9, 2016. Accessed October 30, 2016. Urschel is also an advanced stats columnist for ''The Players' Tribune''. He is currently serving a three-year term on the College Football Playoff selection committee which ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Guard (gridiron Football)
In gridiron football, a guard (G), otherwise known as an offensive guard (OG), is a player who lines up between the center (American football), center and the offensive tackle, tackles on the offensive line of a football team on the line of scrimmage used primarily for Blocking (American football), blocking. Right guards (RG) is the term for the guards on the right of the offensive line, while left guards (LG) are on the left side. Guards are to the right or left of the center. The guard's job is to protect the quarterback from the incoming defensive line, linemen during pass plays, as well as creating openings (holes) for the running backs to head through. Guards are automatically considered Eligible receiver, ineligible receivers, so they cannot intentionally touch a forward pass, unless it is to recover a fumble or is first touched by a defender or eligible receiver. Pulling guards Aside from speed blocking, a guard may also "Pulling (American football), pull"—backing o ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
2014 NFL Draft
The 2014 NFL draft was the 79th annual meeting of National Football League (NFL) franchises to select newly eligible football players to the league. The draft, officially the "Player Selection Meeting", was held at Radio City Music Hall in New York City on May 8 through May 10, 2014. The draft started on May 8, 2014, at 8 pm EDT. The draft was moved from its traditional time frame in late April due to a scheduling conflict at Radio City Music Hall. There was early discussion and rumors leading up to the draft on the future of staying at the current location in New York City, where it had been held since . Given the increased interest the draft had garnered over the past decade, there was belief that the event may have outgrown Radio City Music Hall, which had been the venue for the past eight drafts. The possibility of extending the draft to four days was also being discussed throughout the months leading up to the draft. The NFL decided in that summer that the 2015 NFL Dra ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Eigenvector
In linear algebra, an eigenvector () or characteristic vector of a linear transformation is a nonzero vector that changes at most by a scalar factor when that linear transformation is applied to it. The corresponding eigenvalue, often denoted by \lambda, is the factor by which the eigenvector is scaled. Geometrically, an eigenvector, corresponding to a real nonzero eigenvalue, points in a direction in which it is stretched by the transformation and the eigenvalue is the factor by which it is stretched. If the eigenvalue is negative, the direction is reversed. Loosely speaking, in a multidimensional vector space, the eigenvector is not rotated. Formal definition If is a linear transformation from a vector space over a field into itself and is a nonzero vector in , then is an eigenvector of if is a scalar multiple of . This can be written as T(\mathbf) = \lambda \mathbf, where is a scalar in , known as the eigenvalue, characteristic value, or characteristic root ass ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Laplacian
In mathematics, the Laplace operator or Laplacian is a differential operator given by the divergence of the gradient of a scalar function on Euclidean space. It is usually denoted by the symbols \nabla\cdot\nabla, \nabla^2 (where \nabla is the nabla operator), or \Delta. In a Cartesian coordinate system, the Laplacian is given by the sum of second partial derivatives of the function with respect to each independent variable. In other coordinate systems, such as cylindrical and spherical coordinates, the Laplacian also has a useful form. Informally, the Laplacian of a function at a point measures by how much the average value of over small spheres or balls centered at deviates from . The Laplace operator is named after the French mathematician Pierre-Simon de Laplace (1749–1827), who first applied the operator to the study of celestial mechanics: the Laplacian of the gravitational potential due to a given mass density distribution is a constant multiple of that densit ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fiedler Vector
The algebraic connectivity (also known as Fiedler value or Fiedler eigenvalue after Miroslav Fiedler) of a graph ''G'' is the second-smallest eigenvalue (counting multiple eigenvalues separately) of the Laplacian matrix of ''G''. This eigenvalue is greater than 0 if and only if ''G'' is a connected graph. This is a corollary to the fact that the number of times 0 appears as an eigenvalue in the Laplacian is the number of connected components in the graph. The magnitude of this value reflects how well connected the overall graph is. It has been used in analyzing the robustness and synchronizability of networks. Properties The truncated icosahedron or Buckminsterfullerene graph has a traditional connectivity (graph theory)">connectivity of 3, and an algebraic connectivity of 0.243. The algebraic connectivity of undirected graphs with nonnegative weights, a(G)\geq0 with the inequality being strict if and only if G is connected. However, the algebraic connectivity can be negativ ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Algorithm
In mathematics and computer science, an algorithm () is a finite sequence of rigorous instructions, typically used to solve a class of specific Computational problem, problems or to perform a computation. Algorithms are used as specifications for performing calculations and data processing. More advanced algorithms can perform automated deductions (referred to as automated reasoning) and use mathematical and logical tests to divert the code execution through various routes (referred to as automated decision-making). Using human characteristics as descriptors of machines in metaphorical ways was already practiced by Alan Turing with terms such as "memory", "search" and "stimulus". In contrast, a Heuristic (computer science), heuristic is an approach to problem solving that may not be fully specified or may not guarantee correct or optimal results, especially in problem domains where there is no well-defined correct or optimal result. As an effective method, an algorithm ca ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multigrid
In numerical analysis, a multigrid method (MG method) is an algorithm for solving differential equations using a hierarchy of discretizations. They are an example of a class of techniques called multiresolution methods, very useful in problems exhibiting multiple scales of behavior. For example, many basic relaxation methods exhibit different rates of convergence for short- and long-wavelength components, suggesting these different scales be treated differently, as in a Fourier analysis approach to multigrid. MG methods can be used as solvers as well as preconditioners. The main idea of multigrid is to accelerate the convergence of a basic iterative method (known as relaxation, which generally reduces short-wavelength error) by a ''global'' correction of the fine grid solution approximation from time to time, accomplished by solving a coarse problem. The coarse problem, while cheaper to solve, is similar to the fine grid problem in that it also has short- and long-wavelength errors ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Chronic Traumatic Encephalopathy
Chronic traumatic encephalopathy (CTE) is a neurodegenerative disease linked to repeated trauma to the head. The encephalopathy symptoms can include behavioral problems, mood problems, and problems with thinking. The disease often gets worse over time and can result in dementia. It is unclear if the risk of suicide is altered. Most documented cases have occurred in athletes involved in striking-based combat sports, such as boxing, kickboxing, mixed martial arts, and Muay Thai—hence its original name ''dementia pugilistica'' (Latin for "fistfighter's dementia")—and contact sports such as American football, Australian rules football, professional wrestling, ice hockey, rugby, and association football (soccer), in semi-contact sports such as baseball and basketball, and military combat arms occupations. Other risk factors include being in the military, prior domestic violence, and repeated banging of the head. The exact amount of trauma required for the condition to occur i ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
JAMA (journal)
''The Journal of the American Medical Association'' (''JAMA'') is a peer-reviewed medical journal published 48 times a year by the American Medical Association. It publishes original research, reviews, and editorials covering all aspects of biomedicine. The journal was established in 1883 with Nathan Smith Davis as the founding editor. Kirsten Bibbins-Domingo of the University of California San Francisco became the journal editor-in-chief on July 1, 2022, succeeding Howard Bauchner of Boston University. History The journal was established in 1883 by the American Medical Association and superseded the ''Transactions of the American Medical Association''. ''Councilor's Bulletin'' was renamed the ''Bulletin of the American Medical Association'', which later was absorbed by the ''Journal of the American Medical Association''. In 1960, the journal obtained its current title, ''JAMA: The Journal of the American Medical Association''. The journal is commonly referred to as ''JAMA''. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
The Baltimore Sun
''The Baltimore Sun'' is the largest general-circulation daily newspaper based in the U.S. state of Maryland and provides coverage of local and regional news, events, issues, people, and industries. Founded in 1837, it is currently owned by Tribune Publishing. The ''Baltimore Sun's'' parent company, '' Tribune Publishing'', was acquired by Alden Global Capital, which operates its media properties through Digital First Media, in May 2021. History ''The Sun'' was founded on May 17, 1837, by printer/editor/publisher/owner Arunah Shepherdson Abell (often listed as "A. S. Abell") and two associates, William Moseley Swain, and Azariah H. Simmons, recently from Philadelphia, where they had started and published the '' Public Ledger'' the year before. Abell was born in Rhode Island, became a journalist with the ''Providence Patriot'' and later worked with newspapers in New York City and Boston.Van Doren, Charles and Robert McKendry, ed., ''Webster's American Biographies''. (Springfiel ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Pennsylvania State University
The Pennsylvania State University (Penn State or PSU) is a Public university, public Commonwealth System of Higher Education, state-related Land-grant university, land-grant research university with campuses and facilities throughout Pennsylvania. Founded in 1855 as the Farmers' High School of Pennsylvania, Penn State became the state's only Land-grant university, land-grant university in 1863. Today, Penn State is a major research university which conducts teaching, research, and public service. Its instructional mission includes undergraduate, graduate, professional and continuing education offered through resident instruction and online delivery. The University Park campus has been labeled one of the "Public Ivy, Public Ivies", a publicly funded university considered as providing a quality of education comparable to those of the Ivy League. In addition to its land-grant designation, it also participates in the sea-grant, space-grant, and sun-grant research consortia; it is on ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
College Football Playoff
The College Football Playoff (CFP) is an annual postseason knockout invitational tournament to determine a national champion for the National Collegiate Athletic Association (NCAA) Division I Football Bowl Subdivision (FBS), the highest level of college football competition in the United States. Four teams play in two semifinal games, and the winner of each semifinal advances to the College Football Playoff National Championship game. The inaugural tournament was held at the end of the 2014 NCAA Division I FBS football season and was won by Ohio State, who defeated Oregon in the championship game with their third-string quarterback. After the first season, the playoff has been largely dominated by Alabama and Clemson; they have faced each other in the championship game three times and also played once in the semifinals. A 13-member committee selects and seeds the four teams to take part in the CFP. This system differs from the use of polls or computer rankings that had prev ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
