Vladimir Karapetoff
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Vladimir Karapetoff
Vladimir Karapetoff (January 8, 1876 in Saint Petersburg, Russian Empire – January 11, 1948) was a Russian-American electrical engineer, inventor, professor, and author. Life He was the son of Nikita Ivanovich Karapetov and Anna Joakimovna Karapetova. Karapetoff first studied at Petersburg State University of Means of Communication taking his first certification in 1897 and a second in 1902. During his studies he was a consultant to the Russian government and served as an instructor teaching electrical engineering and hydraulics in three of Saint Petersburg's colleges. In 1899, he went to the Technische Hochschule Darmstadt to study power systems, he wrote ''Über Mehrphasige Stromsysteme'' in 1900. In 1903 Karapetoff emigrated to the United States and apprenticed at Westinghouse Electric and Manufacturing Company. The following year he began his long association with Cornell University as professor of electrical engineering. Karapetoff published the first part of his ''Engi ...
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Vladimir Karapetoff
Vladimir Karapetoff (January 8, 1876 in Saint Petersburg, Russian Empire – January 11, 1948) was a Russian-American electrical engineer, inventor, professor, and author. Life He was the son of Nikita Ivanovich Karapetov and Anna Joakimovna Karapetova. Karapetoff first studied at Petersburg State University of Means of Communication taking his first certification in 1897 and a second in 1902. During his studies he was a consultant to the Russian government and served as an instructor teaching electrical engineering and hydraulics in three of Saint Petersburg's colleges. In 1899, he went to the Technische Hochschule Darmstadt to study power systems, he wrote ''Über Mehrphasige Stromsysteme'' in 1900. In 1903 Karapetoff emigrated to the United States and apprenticed at Westinghouse Electric and Manufacturing Company. The following year he began his long association with Cornell University as professor of electrical engineering. Karapetoff published the first part of his ''Engi ...
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New York State Senate
The New York State Senate is the upper house of the New York State Legislature; the New York State Assembly is its lower house. Its members are elected to two-year terms; there are no term limits. There are 63 seats in the Senate. Partisan composition The New York State Senate was dominated by the Republican Party for much of the 20th century. Between World War II and the turn of the 21st century, the Democratic Party only controlled the upper house for one year. The Democrats took control of the Senate following the 1964 elections; however, the Republicans quickly regained a Senate majority in special elections later that year. By 2018, the State Senate was the last Republican-controlled body in New York government. In the 2018 elections, Democrats gained eight Senate seats, taking control of the chamber from the Republicans. In the 2020 elections, Democrats won a total of 43 seats, while Republicans won 20; the election results gave Senate Democrats a veto-proof two-thirds ...
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Rapidity
In relativity, rapidity is commonly used as a measure for relativistic velocity. Mathematically, rapidity can be defined as the hyperbolic angle that differentiates two frames of reference in relative motion, each frame being associated with distance and time coordinates. For one-dimensional motion, rapidities are additive whereas velocities must be combined by Einstein's velocity-addition formula. For low speeds, rapidity and velocity are proportional but, for higher velocities, rapidity takes a larger value, with the rapidity of light being infinite. Using the inverse hyperbolic function , the rapidity corresponding to velocity is where ''c'' is the velocity of light. For low speeds, is approximately . Since in relativity any velocity is constrained to the interval the ratio satisfies . The inverse hyperbolic tangent has the unit interval for its domain and the whole real line for its image; that is, the interval maps onto . History In 1908 Hermann Minkowski expl ...
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Hyperbolic Angle
In geometry, hyperbolic angle is a real number determined by the area of the corresponding hyperbolic sector of ''xy'' = 1 in Quadrant I of the Cartesian plane. The hyperbolic angle parametrises the unit hyperbola, which has hyperbolic functions as coordinates. In mathematics, hyperbolic angle is an invariant measure as it is preserved under hyperbolic rotation. The hyperbola ''xy'' = 1 is rectangular with a semi-major axis of \sqrt 2, analogous to the magnitude of a circular angle corresponding to the area of a circular sector in a circle with radius \sqrt 2. Hyperbolic angle is used as the independent variable for the hyperbolic functions sinh, cosh, and tanh, because these functions may be premised on hyperbolic analogies to the corresponding circular trigonometric functions by regarding a hyperbolic angle as defining a hyperbolic triangle. The parameter thus becomes one of the most useful in the calculus of real variables. Definition Consider the rectangular hyperbola \text ...
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Loedel Diagram
A spacetime diagram is a graphical illustration of the properties of space and time in the special theory of relativity. Spacetime diagrams allow a qualitative understanding of the corresponding phenomena like time dilation and length contraction without mathematical equations. The history of an object's location throughout all time traces out a line, referred to as the object's world line, in a spacetime diagram. Points in spacetime diagrams represent a fixed position in space and time and are referred to as events. The most well-known class of spacetime diagrams are known as Minkowski diagrams, developed by Hermann Minkowski in 1908. Minkowski diagrams are two-dimensional graphs that depict events as happening in a universe consisting of one space dimension and one time dimension. Unlike a regular distance-time graph, the distance is displayed on the horizontal axis and time on the vertical axis. Additionally, the time and space units of measurement are chosen in such a way t ...
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Paul Gruner
Paul may refer to: *Paul (given name), a given name (includes a list of people with that name) *Paul (surname), a list of people People Christianity * Paul the Apostle (AD c.5–c.64/65), also known as Saul of Tarsus or Saint Paul, early Christian missionary and writer *Pope Paul (other), multiple Popes of the Roman Catholic Church *Saint Paul (other), multiple other people and locations named "Saint Paul" Roman and Byzantine empire *Lucius Aemilius Paullus Macedonicus (c. 229 BC – 160 BC), Roman general *Julius Paulus Prudentissimus (), Roman jurist *Paulus Catena (died 362), Roman notary *Paulus Alexandrinus (4th century), Hellenistic astrologer *Paul of Aegina or Paulus Aegineta (625–690), Greek surgeon Royals * Paul I of Russia (1754–1801), Tsar of Russia *Paul of Greece (1901–1964), King of Greece Other people * Paul the Deacon or Paulus Diaconus (c. 720 – c. 799), Italian Benedictine monk *Paul (father of Maurice), the father of Maurice, By ...
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Speed Of Light
The speed of light in vacuum, commonly denoted , is a universal physical constant that is important in many areas of physics. The speed of light is exactly equal to ). According to the special theory of relativity, is the upper limit for the speed at which conventional matter or energy (and thus any signal carrying information) can travel through space. All forms of electromagnetic radiation, including visible light, travel at the speed of light. For many practical purposes, light and other electromagnetic waves will appear to propagate instantaneously, but for long distances and very sensitive measurements, their finite speed has noticeable effects. Starlight viewed on Earth left the stars many years ago, allowing humans to study the history of the universe by viewing distant objects. When communicating with distant space probes, it can take minutes to hours for signals to travel from Earth to the spacecraft and vice versa. In computing, the speed of light fixes ...
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Velocity
Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time (e.g. northbound). Velocity is a fundamental concept in kinematics, the branch of classical mechanics that describes the motion of bodies. Velocity is a physical vector quantity; both magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called , being a coherent derived unit whose quantity is measured in the SI (metric system) as metres per second (m/s or m⋅s−1). For example, "5 metres per second" is a scalar, whereas "5 metres per second east" is a vector. If there is a change in speed, direction or both, then the object is said to be undergoing an ''acceleration''. Constant velocity vs acceleration To have a ''constant velocity'', an object must have a constant speed in a constant direction. Constant direction cons ...
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Optical Society Of America
Optica (formerly known as The Optical Society (OSA) and before that as the Optical Society of America) is a professional society of individuals and companies with an interest in optics and photonics. It publishes journals and organizes conferences and exhibitions. It currently has about 488,000 customers in 183 countries, including nearly 300 companies. History Optica was founded in 1916 as the "Optical Society of America", under the leadership of Perley G. Nutting, with 30 optical scientists and instrument makers based in Rochester, New York. It soon published its first journal of research results and established an annual meeting. The first local section was established in Rochester, New York, in 1916 and the ''Journal of the Optical Society of America'' was created in 1918. The first series of joint meetings with the American Physical Society was in 1918. In 2008 it changed its name to The Optical Society (OSA). In September 2021, the organization's name changed to Optica, w ...
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Scripta Mathematica
''Scripta Mathematica'' was a quarterly journal published by Yeshiva University devoted to the philosophy, history, and expository treatment of mathematics. It was said to be, at its time, "the only mathematical magazine in the world edited by specialists for laymen.". The journal was established in 1932 under the editorship of Jekuthiel Ginsburg, a professor of mathematics at Yeshiva University, and its first issue appeared in 1933 at a subscription price of three dollars per year. It ceased publication in 1973. Notable papers published in ''Scripta Mathematica'' included work by Nobelist Percy Williams Bridgman concerning the implications for physics of set-theoretic paradoxes, and Hermann Weyl's obituary of Emmy Noether Amalie Emmy NoetherEmmy is the ''Rufname'', the second of two official given names, intended for daily use. Cf. for example the résumé submitted by Noether to Erlangen University in 1907 (Erlangen University archive, ''Promotionsakt Emmy Noethe .... Some s ...
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Special Relativity
In physics, the special theory of relativity, or special relativity for short, is a scientific theory regarding the relationship between space and time. In Albert Einstein's original treatment, the theory is based on two postulates: # The laws of physics are invariant (that is, identical) in all inertial frames of reference (that is, frames of reference with no acceleration). # The speed of light in vacuum is the same for all observers, regardless of the motion of the light source or the observer. Origins and significance Special relativity was originally proposed by Albert Einstein in a paper published on 26 September 1905 titled "On the Electrodynamics of Moving Bodies".Albert Einstein (1905)''Zur Elektrodynamik bewegter Körper'', ''Annalen der Physik'' 17: 891; English translatioOn the Electrodynamics of Moving Bodiesby George Barker Jeffery and Wilfrid Perrett (1923); Another English translation On the Electrodynamics of Moving Bodies by Megh Nad Saha (1920). The incompa ...
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New York State Election, 1924
The 1924 New York state election was held on November 4, 1924, to elect the governor, the lieutenant governor, the Secretary of State, the state comptroller, the attorney general, the state treasurer and the state engineer, as well as all members of the New York State Assembly and the New York State Senate. History The Socialist state convention met on July 27 at Finnish Hall (at Fifth Avenue/Twelfth Street) in New York City. They nominated Rev. Norman Thomas for Governor and Charles Solomon for lieutenant governor. The Republican state convention met on September 25 in Rochester, New York. Theodore Roosevelt, Jr., was nominated for governor on the first ballot."Roosevelt Wins Easily"
''The New York Times''. September 26, 1924. The
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