Vladimir Karapetoff
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Vladimir Karapetoff (January 8, 1876 in
Saint Petersburg Saint Petersburg ( rus, links=no, Санкт-Петербург, a=Ru-Sankt Peterburg Leningrad Petrograd Piter.ogg, r=Sankt-Peterburg, p=ˈsankt pʲɪtʲɪrˈburk), formerly known as Petrograd (1914–1924) and later Leningrad (1924–1991), i ...
,
Russian Empire The Russian Empire was an empire and the final period of the Russian monarchy from 1721 to 1917, ruling across large parts of Eurasia. It succeeded the Tsardom of Russia following the Treaty of Nystad, which ended the Great Northern War ...
– January 11, 1948) was a Russian-American
electrical engineer Electrical engineering is an engineering discipline concerned with the study, design, and application of equipment, devices, and systems which use electricity, electronics, and electromagnetism. It emerged as an identifiable occupation in the l ...
,
inventor An invention is a unique or novel device, method, composition, idea or process. An invention may be an improvement upon a machine, product, or process for increasing efficiency or lowering cost. It may also be an entirely new concept. If an ...
,
professor Professor (commonly abbreviated as Prof.) is an academic rank at universities and other post-secondary education and research institutions in most countries. Literally, ''professor'' derives from Latin as a "person who professes". Professo ...
, and
author An author is the writer of a book, article, play, mostly written work. A broader definition of the word "author" states: "''An author is "the person who originated or gave existence to anything" and whose authorship determines responsibility f ...
.


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 Hydraulics (from Greek: Υδραυλική) is a technology and applied science using engineering, chemistry, and other sciences involving the mechanical properties and use of liquids. At a very basic level, hydraulics is the liquid counte ...
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 Cornell University is a private statutory land-grant research university based in Ithaca, New York. It is a member of the Ivy League. Founded in 1865 by Ezra Cornell and Andrew Dickson White, Cornell was founded with the intention to tea ...
as professor of electrical engineering. Karapetoff published the first part of his ''Engineering Applications of Higher Mathematics'' in 1911, and followed with parts two to five in 1916. That year he also published ''Electrical Measurements and Testing, Direct and Alternating Current''. The
American Institute of Electrical Engineers The American Institute of Electrical Engineers (AIEE) was a United States-based organization of electrical engineers that existed from 1884 through 1962. On January 1, 1963, it merged with the Institute of Radio Engineers (IRE) to form the Insti ...
made him a ''Fellow'' in 1912. He became a charter member of the
American Association of University Professors The American Association of University Professors (AAUP) is an organization of professors and other academics in the United States. AAUP membership includes over 500 local campus chapters and 39 state organizations. The AAUP's stated mission ...
in 1915. Karapetoff was a research editor for ''Electrical World'' from 1917 to 1926. As a member of the
Socialist Party of America The Socialist Party of America (SPA) was a socialist political party in the United States formed in 1901 by a merger between the three-year-old Social Democratic Party of America and disaffected elements of the Socialist Labor Party of Ameri ...
, Karapetoff ran for the
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 comp ...
in 1910; and for
New York State Engineer and Surveyor New is an adjective referring to something recently made, discovered, or created. New or NEW may refer to: Music * New, singer of K-pop group The Boyz Albums and EPs * ''New'' (album), by Paul McCartney, 2013 * ''New'' (EP), by Regurgitator, ...
in the State elections of
1914 This year saw the beginning of what became known as World War I, after Archduke Franz Ferdinand of Austria, heir to the Austrian throne was Assassination of Archduke Franz Ferdinand, assassinated by Serbian nationalist Gavrilo Princip. It als ...
,
1920 Events January * January 1 ** Polish–Soviet War in 1920: The Russian Red Army increases its troops along the Polish border from 4 divisions to 20. ** Kauniainen, completely surrounded by the city of Espoo, secedes from Espoo as its own ma ...
and
1924 Events January * January 12 – Gopinath Saha shoots Ernest Day, whom he has mistaken for Sir Charles Tegart, the police commissioner of Calcutta, and is arrested soon after. * January 20– 30 – Kuomintang in China hold ...
. Karapetoff wrote several articles on
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 law ...
to show that :much of the difficulty in understanding the subject lies in the popular effort to reconcile relativity with our every-day experience. Once this non-technical point of view, with its childish illustrations and analogs, has been abandoned, and the relativity space is considered mathematically ''per se'', the treatment is not different from any other branch of mathematics. Certain postulates are made and a structure is built step by step on these, using mathematical logic and its recognized tools and operations. In the first three articles in the journal of the
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 conference ...
(1924-1929), Karapetoff used the notion of a "velocity angle" α which expressed the relation of a
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 i ...
''v'' to the
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 fo ...
by sin α = ''v/c'' (an equivalent definition was used before in 1921 by
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 Chri ...
while developing symmetric Minkowski diagrams). In the later articles he used instead the
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 function ...
''u'' called
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 d ...
in relativity, and determined by tanh ''u'' = ''v/c''. As explained in a footnote on page 73 of the 1936 article, when sin α = tanh ''u'', one says that α is the
Gudermannian In mathematics, the Gudermannian function relates a hyperbolic angle measure \psi to a circular angle measure \phi called the ''gudermannian'' of \psi and denoted \operatorname\psi. The Gudermannian function reveals a close relationship betwe ...
angle of ''u'', and ''u'' is the anti-Gudermannian of α. Thus he explains, "the present treatment is in terms of the anti-Gudermannian of the velocity angle previously used." The diagrammatic treatments given by Karapetoff are frequently called
Minkowski 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 contractio ...
s in physical science. In 1930 he gave the first published statement of the
Aufbau principle The aufbau principle , from the German ''Aufbauprinzip'' (building-up principle), also called the aufbau rule, states that in the ground state of an atom or ion, electrons fill subshells of the lowest available energy, then they fill subshells ...
that describes the
electron configuration In atomic physics and quantum chemistry, the electron configuration is the distribution of electrons of an atom or molecule (or other physical structure) in atomic or molecular orbitals. For example, the electron configuration of the neon ato ...
s of atoms (although
Erwin Madelung Erwin Madelung (18 May 1881 – 1 August 1972) was a German physicist. He was born in 1881 in Bonn. His father was the surgeon Otto Wilhelm Madelung. He earned a doctorate in 1905 from the University of Göttingen, specializing in crystal structu ...
had discovered it in 1926, Madelung did not publish until 1936). In 1928 the
Franklin Institute The Franklin Institute is a science museum and the center of science education and research in Philadelphia, Pennsylvania. It is named after the American scientist and statesman Benjamin Franklin. It houses the Benjamin Franklin National Memori ...
awarded him the
Elliott Cresson Medal The Elliott Cresson Medal, also known as the Elliott Cresson Gold Medal, was the highest award given by the Franklin Institute. The award was established by Elliott Cresson, life member of the Franklin Institute, with $1,000 granted in 1848. The ...
. Karapetoff was an accomplished
cellist The cello ( ; plural ''celli'' or ''cellos'') or violoncello ( ; ) is a bowed (sometimes plucked and occasionally hit) string instrument of the violin family. Its four strings are usually tuned in perfect fifths: from low to high, C2, G2, D ...
, and in 1934 was awarded an
honorary doctorate An honorary degree is an academic degree for which a university (or other degree-awarding institution) has waived all of the usual requirements. It is also known by the Latin phrases ''honoris causa'' ("for the sake of the honour") or ''ad hono ...
in music by the New York College of Music. On November 25, 1936, he married Rosalie Margaret Cobb at
Dobbs Ferry, New York Dobbs Ferry is a village in Westchester County, New York, United States. The population was 10,875 according to the 2010 United States Census. In 2019, its population rose to an estimated 11,027. The village of Dobbs Ferry is located in, and is a ...
. The
Brooklyn Polytechnic Institute The New York University Tandon School of Engineering (commonly referred to as Tandon) is the engineering and applied sciences school of New York University. Tandon is the second oldest private engineering and technology school in the United St ...
bestowed on him the degree of
Doctor of Science Doctor of Science ( la, links=no, Scientiae Doctor), usually abbreviated Sc.D., D.Sc., S.D., or D.S., is an academic research degree awarded in a number of countries throughout the world. In some countries, "Doctor of Science" is the degree used f ...
in 1937. Karapetoff died in 1948, and is buried in
Ithaca Ithaca most commonly refers to: *Homer's Ithaca, an island featured in Homer's ''Odyssey'' *Ithaca (island), an island in Greece, possibly Homer's Ithaca *Ithaca, New York, a city, and home of Cornell University and Ithaca College Ithaca, Ithaka ...
,
Tompkins County, New York Tompkins County is a county located in the U.S. state of New York. As of the 2020 census, the population was 105,740. The county seat is Ithaca. The name is in honor of Daniel D. Tompkins, who served as Governor of New York and Vice President ...
. In his honor, since 1992
Eta Kappa Nu Eta Kappa Nu () or IEEE-HKN is the international honor society of the Computer Science and Institute of Electrical and Electronics Engineers (IEEE). "The organization promotes excellence in the profession and in education through an emphas ...
has celebrated significant work of electrical engineers with the ''Vladimir Karapetoff Outstanding Technical Achievement Award''.
Eta Kappa Nu Eta Kappa Nu () or IEEE-HKN is the international honor society of the Computer Science and Institute of Electrical and Electronics Engineers (IEEE). "The organization promotes excellence in the profession and in education through an emphas ...
br>Outstanding Technical Achievement Award
/ref>


Articles

* 1924: "Aberration of light in terms of the theory of relativity as illustrated on a cone and a pyramid", Journal of the Optical Society of America 9(3):223–33. * 1926: "Straight-line relativity in oblique coordinates; also illustrated by a mechanical model", ''Journal of the Optical Society of America'' 13:155. * 1929: "Relativity transformation of an oscillation into a travelling wave, and DeBroglie's postulate in terms of velocity angle", ''Journal of the Optical Society of America'' 19:253. * 1936: "Restricted relativity in terms of hyperbolic functions of rapidities",
American Mathematical Monthly ''The American Mathematical Monthly'' is a mathematical journal founded by Benjamin Finkel in 1894. It is published ten times each year by Taylor & Francis for the Mathematical Association of America. The ''American Mathematical Monthly'' is an ...
43:70–82. * 1941: "A general outline of restricted relativity",
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 spe ...
8:145–63. * 1944: "The special theory of relativity in hyperbolic functions",
Reviews of Modern Physics ''Reviews of Modern Physics'' (abbreviated RMP) is a quarterly peer-reviewed scientific journal published by the American Physical Society. It was established in 1929 and the current editor-in-chief is Michael Thoennessen. The journal publishes r ...
16:33–52. * 1945: "The constancy of the velocity of light", in ''A Collection of Papers in Memory of Sir William Rowan Hamiltion'', Scripta Mathematica at Yeshiva College.


References

* Allen G. Debus (1968) "Vladimir Karapetoff", ''Who's Who in Science'',
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.
''THINKS ELECTRON DIVISIBLE; Karapetoff Also Predicts Wave Velocity Greater Than That of Light''
in NYT on February 14, 1930 (subscription required) {{DEFAULTSORT:Karapetoff, Vladimir 1876 births 1948 deaths Cornell University faculty Russian electrical engineers Fellow Members of the IEEE American relativity theorists Emigrants from the Russian Empire to the United States American people of Russian descent American people of Armenian descent Engineers from Saint Petersburg People from Tompkins County, New York 20th-century American inventors American electrical engineers Socialist Party of America politicians from New York (state) Engineers from New York (state) People involved with the periodic table