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e8c1296a5de0de5754b971d7f978a1c5a4fe4996
where δ {\displaystyle \delta } is the current
where δ {\displaystyle \delta } is the current sheet half-thickness. this relation uses that the magnetic field reverses over a distance of ∼ 2 δ {\displaystyle \sim 2\delta }. by matching the ideal electric field outside of the layer with the resistive electric field e = 1 σ j {\displaystyle \mathbf {e} ={\frac {1}{\s...
wikipedia
58d092b82345aee7d0ddf9f3761b551effeb2bfa
where e y {\displaystyle e_{y}} is the out-of-plane
where e y {\displaystyle e_{y}} is the out-of-plane electric field, v in {\displaystyle v_{\text{in}}} is the characteristic inflow velocity, and b in {\displaystyle b_{\text{in}}} is the characteristic upstream magnetic field strength. by neglecting displacement current, the low-frequency ampere's law, j = 1 μ 0 ∇ × b...
wikipedia
df72904fb22b5cb421bdc837475451cb0e247679
the sweet–parker model describes time-independent magnetic reconnection in
the sweet–parker model describes time-independent magnetic reconnection in the resistive mhd framework when the reconnecting magnetic fields are antiparallel (oppositely directed) and effects related to viscosity and compressibility are unimportant. the initial velocity is simply an e × b {\displaystyle e\times b} velo...
wikipedia
8420da5d309eb695a36dd2f8374f0fbec8c6b86e
the first theoretical framework of magnetic reconnection was
the first theoretical framework of magnetic reconnection was established by peter sweet and eugene parker at a conference in 1956. sweet pointed out that by pushing two plasmas with oppositely directed magnetic fields together, resistive diffusion is able to occur on a length scale much shorter than a typical equilibri...
wikipedia
53342c1168deabd8408efdae8077e298453bd48a
in three dimensions, the geometry of the field
in three dimensions, the geometry of the field lines become more complicated than the two-dimensional case and it is possible for reconnection to occur in regions where a separator does not exist, but with the field lines connected by steep gradients. these regions are known as quasi-separatrix layers (qsls), and have ...
wikipedia
d4b5abb75d6d7ab06984f8ea782c217744a1ee56
in two dimensions, the most common type of
in two dimensions, the most common type of magnetic reconnection is separator reconnection, in which four separate magnetic domains exchange magnetic field lines. domains in a magnetic plasma are separated by separatrix surfaces: curved surfaces in space that divide different bundles of flux. field lines on one side of...
wikipedia
5311dfce8d717f7080225ccea8046277fc2f6677
in an electrically conductive plasma, magnetic field lines
in an electrically conductive plasma, magnetic field lines are grouped into 'domains'— bundles of field lines that connect from a particular place to another particular place, and that are topologically distinct from other field lines nearby. this topology is approximately preserved even when the magnetic field itself ...
wikipedia
8c2643aaf7b95747e71a7f1e6debf63ca4a32cf0
the qualitative description of the reconnection process is
the qualitative description of the reconnection process is such that magnetic field lines from different magnetic domains (defined by the field line connectivity) are spliced to one another, changing their patterns of connectivity with respect to the sources. it is a violation of an approximate conservation law in plas...
wikipedia
ac53f3f6044ae8bcc28bcbab66c96ece0f31e016
a current problem in plasma physics is that
a current problem in plasma physics is that observed reconnection happens much faster than predicted by mhd in high lundquist number plasmas (i.e. fast magnetic reconnection). solar flares, for example, proceed 13–14 orders of magnitude faster than a naive calculation would suggest, and several orders of magnitude fast...
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d71f5b24e5fafcbf57465fe0f4e3e24aea4d684e
dungey coined the term "reconnection" because he initially
dungey coined the term "reconnection" because he initially envisaged field lines of the inflow topology breaking and then joining together again in the outflow topology. however, this means that magnetic monopoles would exist, albeit for a very limited period, which would violate maxwell's equation that the divergence ...
wikipedia
c24c790bd74afac1e4eb3c1d52f5b72563baf9cc
the resistivity of the current layer allows magnetic
the resistivity of the current layer allows magnetic flux from either side to diffuse through the current layer, cancelling outflux from the other side of the boundary. however, the small spatial scale of the current sheet makes the magnetic reynolds number small and so this alone can make the diffusion term dominate i...
wikipedia
a15748fd2ac89ae7174656c2ebdbe6f56701ddeb
in a plasma (ionized gas), for all but
in a plasma (ionized gas), for all but exceptionally high frequency phenomena, the second term on the right-hand side of this equation, the displacement current, is negligible compared to the effect of the free current j {\displaystyle \mathbf {j} } and this equation reduces to ampére's law for free charges. the displa...
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db9a7d7276ccb9cd0ff87e840e0fc7ded4faf292
∇ × b = μ j + μ
∇ × b = μ j + μ ϵ ∂ e ∂ t. {\displaystyle \nabla \times \mathbf {b} =\mu \mathbf {j} +\mu \epsilon {\frac {\partial \mathbf {e} }{\partial t}}.}
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14a74e6b35eb4fd4dfea848c339efc7fa259d473
magnetic reconnection is a breakdown of "ideal-magnetohydrodynamics" and
magnetic reconnection is a breakdown of "ideal-magnetohydrodynamics" and so of " alfvén's theorem " (also called the "frozen-in flux theorem") which applies to large-scale regions of a highly-conducting magnetoplasma, for which the magnetic reynolds number is very large: this makes the convective term in the induction ...
wikipedia
ec5fd1e44a5e282f982370278cf21d3e3a1490c0
in the meantime, the first theoretical framework of
in the meantime, the first theoretical framework of magnetic reconnection was established by peter sweet and eugene parker at a conference in 1956. sweet pointed out that by pushing two plasmas with oppositely directed magnetic fields together, resistive diffusion is able to occur on a length scale much shorter than a ...
wikipedia
7c9d956a8117e9ce9828ede452806c3bac9b2394
james dungey is credited with first use of
james dungey is credited with first use of the term “magnetic reconnection” in his 1950 phd thesis, to explain the coupling of mass, energy and momentum from the solar wind into earth's magnetosphere. the concept was published for the first time in a seminal paper in 1961. dungey coined the term "reconnection" because ...
wikipedia
babd73b8cf935aa0e33f75b3f69737217369a347
ron giovanelli is credited with the first publication
ron giovanelli is credited with the first publication invoking magnetic energy release as a potential mechanism for particle acceleration in solar flares. giovanelli proposed in 1946 that solar flares stem from the energy obtained by charged particles influenced by induced electric fields within close proximity of suns...
wikipedia
e7f87f7cf9eecc653d1f008754ebd7494dd27fa2
the concept of magnetic reconnection was developed in
the concept of magnetic reconnection was developed in parallel by researchers working in solar physics and in the interaction between the solar wind and magnetized planets. this reflects the bidirectional nature of reconnection, which can either disconnect formerly connected magnetic fields or connect formerly disconne...
wikipedia
662257a7270e4981571839f23b03ee5e8373b94a
magnetic reconnection is a physical process occurring in
magnetic reconnection is a physical process occurring in electrically conducting plasmas, in which the magnetic topology is rearranged and magnetic energy is converted to kinetic energy, thermal energy, and particle acceleration. magnetic reconnection involves plasma flows at a substantial fraction of the alfvén wave s...
wikipedia
f1a3b124566be5b22c11628187a1f78ef7b0819c
an oscillation in the conductivity of a material
an oscillation in the conductivity of a material that occurs at low temperatures in the presence of very intense magnetic fields, the shubnikov–de haas effect (sdh) is a macroscopic manifestation of the inherent quantum mechanical nature of matter. it is often used to determine the effective mass of charge carriers, al...
wikipedia
bb82a92536af27293c81abcee8056e168e77f332
the effect is related to the de haas–van
the effect is related to the de haas–van alphen effect, which is the name given to the corresponding oscillations in magnetization. the signature of each effect is a periodic waveform when plotted as a function of inverse magnetic field. the " frequency " of the magnetoresistance oscillations indicate areas of extremal...
wikipedia
935b4f7aad2914c4fdc5bb761165dc03ada0617e
for a given sample, all factors including the
for a given sample, all factors including the electron density n on the right hand side of relationship (3) are constant. when plotting the index i of an edge channel versus the reciprocal of its magnetic flux density 1/ b, one obtains a straight line with slope 2 e /(nh). since the electron charge e is known and also ...
wikipedia
71e3000f1a4733d802f2615610365fd54a39fc6c
shubnikov–de haas oscillations can be used to determine
shubnikov–de haas oscillations can be used to determine the two-dimensional electron density of a sample. for a given magnetic flux Φ {\displaystyle \phi } the maximum number d of electrons with spin s = 1/2 per landau level is
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50a3a7119f593a212e29cccf18463204f63cddb7
the result of zero resistivity between the contacts
the result of zero resistivity between the contacts 2 and 3 is a consequence of the electrons being mobile only in the edge channels of the sample. the situation would be different if a landau level came close to the fermi energy e. any electrons in that level would become mobile as their energy approaches the fermi en...
wikipedia
f31ea1adde674badc51707cef60e9620594a9f95
in other words, the chemical potentials μ and
in other words, the chemical potentials μ and μ and their respective voltages μ / e and μ / e are the same. as a consequence of no drop of voltage between the contacts 2 and 3, the current i experiences zero resistivity r in between contacts 2 and 3
wikipedia
4c5359294369f727d922ea44fb1aa645396ced25
fig 2 shows a sample with four contacts.
fig 2 shows a sample with four contacts. to drive a current through the sample, a voltage is applied between the contacts 1 and 4. a voltage is measured between the contacts 2 and 3. suppose electrons leave the 1st contact, then are transmitted from contact 1 to contact 2, then from contact 2 to contact 3, then from co...
wikipedia
442c13b627439b8c5842b2ae59c9fba1b104b470
where e denotes the electron charge, h denotes
where e denotes the electron charge, h denotes the planck constant, and i stands for the number of edge channels. the matrix t denotes the probability of transmission of a negatively charged particle (i.e. of an electron) from a contact l ≠ m to another contact m. the net current i in relationship (1) is made up of the...
wikipedia
9e0b30630079f716d1da0972563f0752a3bb523e
the landauer–büttiker approach is used to describe transport
the landauer–büttiker approach is used to describe transport of electrons in this particular sample. the landauer–büttiker approach allows calculation of net currents i flowing between a number of contacts 1 ≤ m ≤ n. in its simplified form, the net current i of contact m with chemical potential μ reads
wikipedia
23cf5f6f7fb6c751ae9391f4de0cdf1f4bc4de65
fig 1 shows the fermi energy e located
fig 1 shows the fermi energy e located in between two landau levels. electrons become mobile as their energy levels cross the fermi energy e. with the fermi energy e in between two landau levels, scattering of electrons will occur only at the edges of a sample where the levels are bent. the corresponding electron state...
wikipedia
0391f56623ab4bc0ecada1d7985d95e7716ebe97
consider a two-dimensional quantum gas of electrons confined
consider a two-dimensional quantum gas of electrons confined in a sample with given width and with edges. in the presence of a magnetic flux density b, the energy eigenvalues of this system are described by landau levels. as shown in fig 1, these levels are equidistant along the vertical axis. each energy level is subs...
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1949befde61031f1bd2d96b0127742c1f5e2638d
at sufficiently low temperatures and high magnetic fields,
at sufficiently low temperatures and high magnetic fields, the free electrons in the conduction band of a metal, semimetal, or narrow band gap semiconductor will behave like simple harmonic oscillators. when the magnetic field strength is changed, the oscillation period of the simple harmonic oscillators changes propor...
wikipedia
d04d49e3c3508789610e2ba9bcd0886007d514d2
an oscillation in the conductivity of a material
an oscillation in the conductivity of a material that occurs at low temperatures in the presence of very intense magnetic fields, the shubnikov–de haas effect (sdh) is a macroscopic manifestation of the inherent quantum mechanical nature of matter. it is often used to determine the effective mass of charge carriers (el...
wikipedia
b3e1da6666a3537fc5a1d77be09652167c825d82
bashar ahmad nuseibeh is a computing engineer who
bashar ahmad nuseibeh is a computing engineer who currently holds a number of roles. he is professor of computing at the open university, a professor of software engineering at the university of limerick, and chief scientist of the irish software research centre lero. he is also an honorary professor at university coll...
wikipedia
dd6c93bc3be8fb81be8cc4737ce1e05ad9993e0a
he was a visiting professor at imperial college,
he was a visiting professor at imperial college, and is currently a visiting professor at both university college london (ucl) and the national institute of informatics (nii), japan. he is also a professor at the university of limerick.
wikipedia
075a87c0975b9570c7520166642ad19ddd4520e6
in 2001, nuseibeh moved to the open university
in 2001, nuseibeh moved to the open university as professor of computing, where he was director of research from 2002 to 2008. from 2009 to 2012, he took a secondment to lero, the irish software research centre, as professor of software engineering and chief scientist. in recent years, nuseibeh has become a leading exp...
wikipedia
468ce8fb8cb05e5ee34de7e1af160770b8957a1e
nuseibeh studied at the university of sussex where
nuseibeh studied at the university of sussex where he received a bsc in computer systems engineering in 1988. he then moved to imperial college london to complete his msc, which he was awarded in 1989. he remained at imperial college london for the next decade, firstly to complete his phd in software engineering in 199...
wikipedia
64312db53b82e8aefcfad73171d8b4c2d589bd2b
bashar ahmad nuseibeh (born 1967) is a computing
bashar ahmad nuseibeh (born 1967) is a computing engineer who currently holds a number of roles. he is professor of computing at the open university, a professor of software engineering at the university of limerick, and chief scientist of the irish software research centre lero.
wikipedia
8a0232b2cfbe78a71d1dda7489a03b6e1acce032
kohei okuno joined j1 league club gamba osaka
kohei okuno joined j1 league club gamba osaka in 2019 and was handed the number 26 jersey. prior to that he spent 2 seasons on loan with gamba osaka under-23 while he completed his high school education. he played 4 games in 2017 and 2 more substitute appearances in 2018.
wikipedia
173ec77af6b5b019e28155594e8071bca2ee1941
kohei okuno (奥野 耕平, okuno kōhei, born april
kohei okuno (奥野 耕平, okuno kōhei, born april 3, 2000) is a japanese footballer who plays as a defensive midfielder for j1 league club shonan bellmare.
wikipedia
f1920665b7e6ca79c994093f166871e29e3098e9
carla maria penz is a butterfly comparative morphologist
carla maria penz is a butterfly comparative morphologist and systematist, and the former doris zemurray stone chair in biodiversity at the university of new orleans. her research also focuses on natural history and behavior, mostly of neotropical butterflies. she is currently professor emeritus at the university of new...
wikipedia
ebd804e29cfdb0bbec8c3625c0429f51aeeb80d1
along her career, penz has studied butterfly genetics,
along her career, penz has studied butterfly genetics, natural history, herbivore -plant interactions, wing morphology as related to flight, and phylogenetic systematics. morphology is the main source of data for her work on phylogenetic systematics, a field of biology that focuses on the evolutionary diversification o...
wikipedia
b8c9cba4d3354908d1a481dee6eb80a91f271feb
penz obtained her doctorate degree at the university
penz obtained her doctorate degree at the university of texas at austin. during that period she traveled to several countries for field and museum work, such as costa rica, panama, ecuador, brazil, and england where she spent time at cambridge university and the natural history museum, london. she was funded by the nat...
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79a0edd22abd63bb1d80ac89e0e28a9c0a655200
carla penz was born in porto alegre, brazil,
carla penz was born in porto alegre, brazil, the first-born daughter of rubem paulo penz and isolde renate penz (née seth). through her father’s love for nature and orchids, in particular, she developed an interest in biology from an early age. penz attended the jesuit school colégio anchieta, where she was also encour...
wikipedia
102e986c3118dbe9793b45fb9f4325c7e3655b6f
carla maria penz (born october 17, 1961) is
carla maria penz (born october 17, 1961) is a butterfly comparative morphologist and systematist, and the former doris zemurray stone chair in biodiversity at the university of new orleans. her research also focuses on natural history and behavior, mostly of neotropical butterflies. she is currently professor emeritus ...
wikipedia
d73ef003539f8d6c14293c7b4ece5bc2f7ae599f
in the case of the woman that is
in the case of the woman that is loved in Óscar acosta's collection of poetry, the primary motive of his song in formas del amor (1959), escritura amorosa (1962) and poemas para una muchacha (1963), the poet is convinced that he received the woman as a gift from heaven and that there may be no feeling as important as l...
wikipedia
c3dd1626a7831b270cc264c740c0cdf22ed0b3c4
poesía menor, a book that was published in
poesía menor, a book that was published in the year 1957. in the essay "anticipación el geranio" by dr. hector m. leyva, which was published in the text "lucidez creativa", addresses the idea that short poems contain an affirmative action, in the sense that it can reclaim those things that may be despised, or negativel...
wikipedia
160e66d95c1f8595b23ede1fb42dbf90a8fe1f38
it is pertinent to mention the book poesía,
it is pertinent to mention the book poesía, a selection of poems that the poet Óscar acosta created between the years 1952–1971 in spain, madrid, was published in 1976 by the publishing house ediciones cultura hispánica. this selection of exclusive and intimate poetry by the author contains 111 poems, separated into th...
wikipedia
5c6a3a08b280534474cc944c6f0f9d22874450b2
as a diplomat, acosta represented his country in
as a diplomat, acosta represented his country in the honduran legations in spain, italy, peru and the vatican. in 2000, when he was director of the honduran academy of language, he nominated the tegucigalpa-born guatemalan writer augusto monterroso for the prince of asturias award.
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9e01a384082cc2a02323b526fd856e7250550616
he came to notice in the 1950s and
he came to notice in the 1950s and 1960s, with his short stories and poetry collections. in 1964, he published an essay on the honduran writer rafael heliodoro valle, to which he added later works such as "anthology of the new honduran poetry" with the poet roberto sosa, "honduran poetry today", and "anthology of the h...
wikipedia
94ff03a736eac8a94e0dca96867d7777fe103a51
acosta began his career as a journalist in
acosta began his career as a journalist in peru for tegucigalpa magazine. he founded la editorial nuevo continente, las revistas extra, presente, la editorial iberoamericana, and honduras literaria y extra. he was director of the university press of the universidad nacional autónoma de honduras.
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525106a18b2959836e994dbf07b87c17fcd12969
central to robinson's concerns were the conceptual and
central to robinson's concerns were the conceptual and philosophical foundations of psychology and related subjects. of robinson's philosophy of psychology, william dray wrote that "this highly readable book squarely addresses fundamental metaphysical, epistemological and methodological problems...his clear and informe...
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fe6d1d1e4cf0d5e8c5b41e9f18ccfb1d47c538a8
robinson's major work in moral philosophy was praise
robinson's major work in moral philosophy was praise and blame: moral realism and its application. reviewing the book in review of metaphysics, jude p. dougherty writes, "the richness of this work cannot be comprehended in one reading. whether the reader agrees or not with the author, one has much to learn from the pro...
wikipedia
2e728cc31d2ca9ffbdffe07e04a6decc5bd687bb
in wild beasts and idle humours, robinson offered
in wild beasts and idle humours, robinson offered a treatise on the relationship between science and jurisprudence as this developed from ancient to contemporary times. michael perlin describes the book as "truly unique. it synthesizes material that i do not believe has ever been considered in this context, and links u...
wikipedia
6a4836154c34bdba1c1dc5d8249776b3147be27d
robinson's interests ranged over the brain sciences, philosophy,
robinson's interests ranged over the brain sciences, philosophy, law and intellectual history. several of his works were illustrative of these interests. regarded as a classic in its field, his an intellectual history of psychology was praised by ernest hilgard for its "...development of ideas as they provide alternati...
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00a914ab35943304e903aec41528ae7c8eabc5b1
robinson published in a wide variety of subjects,
robinson published in a wide variety of subjects, including moral philosophy, the philosophy of psychology, legal philosophy, the philosophy of the mind, intellectual history, legal history, and the history of psychology. he held academic positions at amherst college, georgetown university, princeton university, and co...
wikipedia
696923233bb1c5dba2eb331881ab37061b6970df
daniel nicholas robinson (march 9, 1937 – september
daniel nicholas robinson (march 9, 1937 – september 17, 2018) was an american psychologist who was a professor of psychology at georgetown university and later in his life became a fellow of the faculty of philosophy at oxford university.
wikipedia
2604930666242b1ecd08d7220413405a55836003
hamza younés is a tunisian professional footballer who
hamza younés is a tunisian professional footballer who plays as a forward. after starting out at sfaxien in his native country, younés went on to compete in romania, bulgaria, iran, greece, turkey and qatar. internationally, he amassed eleven caps for tunisia between 2014 and 2017.
wikipedia
15ae63f0b0b13199cf81cc12edf4a8b468a7ac3e
on 28 may 2014, he made his debut
on 28 may 2014, he made his debut for tunisia, playing in the last 4 minutes of a 1–0 friendly win against south korea. his second cap came in a 0–1 friendly loss to belgium.
wikipedia
e681947ce8dbf63371c5b2a7081fbf68d704dcec
on 18 march 2019, younés came in as
on 18 march 2019, younés came in as a substitute and scored in a 5–0 home win against apollon smyrnis, returning to goals after three-and-a-half months. on 22 april 2019, his goal helped the team to a 2–1 away win against panetolikos. on 5 may 2019, in the last matchday of the season, he was the undisputed mvp of a 7–2...
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8e80e0bab16c7eba995ebab25497a527aefa2377
on 20 july 2018, after a year playing
on 20 july 2018, after a year playing with bb erzurumspor and al ahli, younés has agreed to return to greek super league and sign contract until the summer of 2020 with aris. on 2 september 2018, the tunisian striker received a high cross from manolis tzanakakis and tapped it in with his chest, thus scoring his first g...
wikipedia
92d57afc89944a8e31b2093e4669eb335ec6c124
on 4 july 2016, younés signed with greek
on 4 july 2016, younés signed with greek superleague club xanthi on a year deal for an undisclosed fee. he finished the season as the second top scorer of the league after the swedish striker marcus berg.
wikipedia
38b1355d3c59f578356396ffeacc935381e99faf
he joined persian gulf pro league club tractor
he joined persian gulf pro league club tractor sc in summer of 2015. on 30 july 2015, younés made his debut for tractor sc against naft tehran. he scored his first goal on 20 september 2015 in a 1–0 hazfi cup victory against saba qom.
wikipedia
867e79f8fdfafdbbce889fd8a6bbfac2843f0388
in august 2014, younés put pen to paper
in august 2014, younés put pen to paper on a contract with ludogorets razgrad. he scored his first goal for the club in the 3–1 win over his former club, botev plovdiv, in the bulgarian supercup final. younés made his debut in uefa champions league group stages in the 2–1 loss to liverpool, providing an assist for dani...
wikipedia
c1ca4ed0e3fe139ccc877bc277b4223da3855735
on 28 january 2014, younés signed with bulgarian
on 28 january 2014, younés signed with bulgarian club botev plovdiv on a three-year deal for an undisclosed fee. on his debut that took place on 23 february, he scored twice in the 2–2 draw with ludogorets razgrad, putting in a motm performance and was subsequently recognized as the best performer of the round.
wikipedia
eac255b83175efda5eaa0aa19b7eba852243e2a4
in february 2012, after younés' unsuccessful transfer to
in february 2012, after younés' unsuccessful transfer to astra giurgiu because of contractual misunderstandings, he scored a move to fellow liga 1 team petrolul ploieşti. he made an immediate impact with the team, scoring 12 times in his first six months with the "yellow wolves". in the 2012–13 liga 1 season he played ...
wikipedia
178777369c602f4454dae85aa96435522bfd70ac
in august 2011, a few hours before the
in august 2011, a few hours before the transfer deadline, younés was brought to Étoile du sahel, in an attempt to replace ahmed akaïchi. he later signed a three-year contract with the team. on 14 november 2011, younés left Étoile.
wikipedia
348ab0a82261e7e43d971198eea2e48958db76cf
after starting out at sfaxien in his native
after starting out at sfaxien in his native country, younés went on to compete in romania, bulgaria, iran, greece, turkey and qatar. internationally, he amassed eleven caps for tunisia between 2014 and 2017.
wikipedia
eba4c553cb62156e151ec62914b7d6d73ab760b0
herman jesse branson was an american basketball player.
herman jesse branson was an american basketball player. born in graham, north carolina, he played collegiately for elon university. he was 6 feet 8 inches (2.03 m) tall. he became known as the hoops legend at elon, setting numerous basketball records, and still holding them today. his basketball jersey was retired afte...
wikipedia
e2577d79dd8827a6b821c4adb7e51ddec771b2f5
his basketball jersey (number 40) was retired after
his basketball jersey (number 40) was retired after his time at elon, and was temporarily taken out of retirement for his son brian branson to wear during his senior year. the jersey now hangs in the elon scharr center, moved from its place in the alumni gym.
wikipedia
82d684c123c4c2cde2499292a4b2235270f22ee5
on 21 may 2018, following fc tosno 's
on 21 may 2018, following fc tosno 's relegation from the russian premier league, he signed as a manager for fc ural yekaterinburg. he resigned from ural on 19 july 2020 following a defeat in the 2019–20 russian cup semifinal to fc khimki.
wikipedia
106bad93666e6f2aec42e1bba15c6c15d1beff88
dmytro volodymyrovych parfyonov (ukrainian: Дмитро Володимирович Парфьонов; born
dmytro volodymyrovych parfyonov (ukrainian: Дмитро Володимирович Парфьонов; born 11 september 1974) is a ukrainian football manager and a former defender. he is the manager of kazakhstani club aktobe.
wikipedia
6c99994534d5b384a2d66833016c11d5331c51c9
kenneth lloyd sailors was an american professional basketball
kenneth lloyd sailors was an american professional basketball player active in the 1940s and early 1950s. a 5 ft 10 in (1.78 m) guard, he is notable for inventing the jump shot as an alternative to the two-handed, flat-footed set shot. sailors was born january 14, 1921, in bushnell, nebraska, and grew up on a farm sout...
wikipedia
321d7092e47c5f57e1222a5332c9e091c82368af
kenneth lloyd sailors was an american professional basketball
october 29, 1993. in 2012, he was named to the national collegiate basketball hall of fame. john christgau, author of the book the origins of the jump shot, said that sailors’ jump shot technique was the one that modern fans would recognize as the "jump shot". in 2014, the university of wyoming announced its plans to ...
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from 1946 to 1951, sailors played professionally in
from 1946 to 1951, sailors played professionally in the baa and nba as a member of the cleveland rebels, chicago stags, philadelphia warriors, providence steamrollers, denver nuggets, boston celtics, and baltimore bullets. he was second in the baa in total assists in 1946–47, was named to the all-baa 2nd team in 1948–4...
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sailors was born january 14, 1921, in bushnell,
sailors was born january 14, 1921, in bushnell, nebraska, and grew up on a farm south of hillsdale, wyoming, where he developed his effective jump shot while playing against his 6 ft 4 in (1.93 m) older brother barton (known as bud). he eventually brought his skills to the university of wyoming, and he led the cowboys ...
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kenneth lloyd sailors (january 14, 1921 – january
kenneth lloyd sailors (january 14, 1921 – january 30, 2016) was an american professional basketball player active in the 1940s and early 1950s. a 5 ft 10 in (1.78 m) guard, he is notable for inventing the jump shot as an alternative to the two-handed, flat-footed set shot.
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the 2021–22 slovak first football league was the
the 2021–22 slovak first football league was the 29th season of first-tier football league in slovakia since its establishment in 1993. slovan bratislava were the defending champions for the third successive year, after picking up the second consecutive domestic double in the previous season. slovan successfully retain...
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twelve teams competed in the league – the
twelve teams competed in the league – the top ten teams from the previous season, the relegation play-offs winner and the one team promoted from the 2. liga, tatran liptovský mikuláš, who were promoted to the top flight for the first time. nitra (relegated after four years in the top flight) had been relegated to 3. li...
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slovan bratislava were the defending champions for the
slovan bratislava were the defending champions for the third successive year, after picking up the second consecutive domestic double in the previous season. slovan successfully retained their league title, winning a record-breaking fourth title in a row and 12th overall since the competition was established in 1993.
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xiaogang ma or marshall ma is a data
xiaogang ma or marshall ma is a data science and geoinformatics researcher at the university of idaho (ui), united states. he is an associate professor in the department of computer science at ui, and also affiliates with the department of earth and spatial sciences and several research institutes and centers at the un...
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ma is associate editor or editorial board member
ma is associate editor or editorial board member for several journals, including computers & geosciences, applied computing & geosciences, data science journal, earth science informatics, and big earth data. he has been the chair of the awards committee of the international association for mathematical geosciences (iam...
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in 2016, ma joined the department of computer
in 2016, ma joined the department of computer science at university of idaho (ui). he continued his research on data science and geoinformatics at ui, including knowledge graphs, open data, and algorithms for spatio-temporal analysis, and he created several new courses related to data science and open data. in 2016 and...
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ma's research addresses the needs of methods and
ma's research addresses the needs of methods and building blocks in the cyberinfrastructure ecosystem to facilitate data science. at rpi, he took leadership roles for ontology development in the global change information system of the u.s. global change research program and data science activities of the sloan -funded ...
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ma was born in tianmen, an inland county
ma was born in tianmen, an inland county in central china. he finished college and graduate studies at china university of geosciences (wuhan) in the early 2000s. then in 2007 he went to itc, the netherlands for phd study, originally affiliating with utrecht university and then university of twente. in 2011, he was awa...
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xiaogang ma (chinese: 马小刚; born 1980) or marshall
xiaogang ma (chinese: 马小刚; born 1980) or marshall ma is a data science and geoinformatics researcher at the university of idaho (ui), united states. he is an associate professor in the department of computer science at ui, and also affiliates with the department of earth and spatial sciences and several research instit...
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a241295eb579d543d30d0073fb819cdbb0b2f39b
in mathematical physics, higher-dimensional gamma matrices generalize to
in mathematical physics, higher-dimensional gamma matrices generalize to arbitrary dimension the four-dimensional gamma matrices of dirac, which are a mainstay of relativistic quantum mechanics. they are utilized in relativistically invariant wave equations for fermions in arbitrary space-time dimensions, notably in st...
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f2b3bbaed3e39f86ddc0dd654dae92b1b5a8e0d3
finally, compute the charge conjugation matrix: choose between
finally, compute the charge conjugation matrix: choose between c (+) {\displaystyle c_{(+)}} and c (−) {\displaystyle c_{(-)}}, in such a way that Γ transforms as all the other Γ matrices. explicitly, require
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33fd30f6807bf4242233dc1fcd225d4394ebb2a6
consider the previous construction for d − 1
consider the previous construction for d − 1 (which is even) and simply take all Γ (a = 0,..., d − 2) matrices, to which append its i Γ ≡ Γ. (the i is required in order to yield an antihermitian matrix, and extend into the spacelike metric).
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one may now construct the Γ, (a =
one may now construct the Γ, (a = 0,..., d + 1), matrices and the charge conjugations c in d + 2 dimensions, starting from the γ, (a' = 0,..., d − 1), and c matrices in d dimensions.
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24743d99471526a2d9a7d4a77938020c3441252b
the proof of the trace identities for gamma
the proof of the trace identities for gamma matrices hold for all even dimension. one therefore only needs to remember the 4d case and then change the overall factor of 4 to tr (i n) {\displaystyle \operatorname {tr} (i_{n})}. for other identities (the ones that involve a contraction), explicit functions of d {\display...
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cc378c9e14d18a33fd03703003b8ccb9f56ce3bb
in the previous expression, c can be either
in the previous expression, c can be either c (+) {\displaystyle c_{(+)}} or c (−) {\displaystyle c_{(-)}}. in odd dimension, there is no ambiguity, but in even dimension it is better to choose whichever one of c (+) {\displaystyle c_{(+)}} or c (−) {\displaystyle c_{(-)}} allows for majorana spinors. in d = 6, there i...
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typically, Γ provide the (bi)spinor representation of the
typically, Γ provide the (bi)spinor representation of the 1 / 2 d (d − 1) generators of the higher-dimensional lorentz group, so (1, d − 1), generalizing the 6 matrices σ of the spin representation of the lorentz group in four dimensions.
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and note that the anti-commutation property allows us
and note that the anti-commutation property allows us to simplify any such sequence to one in which the indices are distinct and increasing. since distinct Γ a {\displaystyle \gamma _{a}} anti-commute this motivates the introduction of an anti-symmetric "average". we introduce the anti-symmetrised products of distinct ...
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c7947c8616a372d7562d7dacaeb4d11ad73e2cb2
as before, the generators Γ, −Γ, Γ all
as before, the generators Γ, −Γ, Γ all generate the same group (the generated groups are all isomorphic; the operations are still involutions). however, since the Γ are now matrices, it becomes plausible to ask whether there is a matrix that can act as a similarity transformation that embodies the automorphisms. in gen...
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de52e5a27596b2e81e4a4c3e0e767bfef4c31b78
transposition will be denoted with a minor change
transposition will be denoted with a minor change of notation, by mapping Γ a t ↦ Γ a t {\displaystyle \gamma _{a}^{\textsf {t}}\mapsto \gamma _{a}^{\textsf {t}}} where the element on the left is the abstract group element, and the one on the right is the literal matrix transpose.
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for the remainder of this article,it is assumed
for the remainder of this article,it is assumed that p = 1 {\displaystyle p=1} and so q = d − 1 {\displaystyle q=d-1}. that is, the clifford algebra cℓ (r) is assumed. in this case, the gamma matrices have the following property under hermitian conjugation,
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d3d4a1276f46d679e5f062895460447376746508
the gamma group has a matrix representation given
the gamma group has a matrix representation given by complex n × n {\displaystyle n\times n} matrices with n = 2 ⌊ 1 2 d ⌋ {\displaystyle n=2^{\left\lfloor {\frac {1}{2}}d\right\rfloor }} and d = p + q {\displaystyle d=p+q} and ⌊ x ⌋ {\displaystyle \lfloor x\rfloor } the floor function, the largest integer less than x....
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none of the above automorphisms (transpose, conjugation, main
none of the above automorphisms (transpose, conjugation, main involution) are inner automorphisms; that is they cannot be represented in the form c x c − 1 {\displaystyle cxc^{-1}} for some existing element c {\displaystyle c} in the gamma group, as presented above. charge conjugation requires extending the gamma group...
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for the pauli group, the chiral element is
for the pauli group, the chiral element is σ 1 σ 2 σ 3 = i {\displaystyle \sigma _{1}\sigma _{2}\sigma _{3}=i} whereas for the gamma group g 3, 0 {\displaystyle g_{3,0}}, one cannot deduce any such relationship for Γ 1 Γ 2 Γ 3 {\displaystyle \gamma _{1}\gamma _{2}\gamma _{3}} other than that it squares to i 2. {\displa...
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the main involution is the map that "flips"
the main involution is the map that "flips" the generators: α (Γ a) = i 2 Γ a {\displaystyle \alpha (\gamma _{a})=i^{2}\gamma _{a}} but leaves i {\displaystyle i} alone: α (i) = i. {\displaystyle \alpha (i)=i~.} this map corresponds to the combined p-symmetry and t-symmetry in physics; all directions are reversed.
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