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6f850e051762db4c94bf52896d8d0f2a4c64a0b9 | bridge street bridge, also known as veterans memorial | bridge street bridge, also known as veterans memorial bridge, is a two-span pratt through truss bridge that crosses the grand river in portland, michigan, in the united states. completed in 1890, it is the oldest known surviving example of a truss bridge built in the state by the groton bridge and manufacturing company... | wikipedia |
a0477661c8bd081c12d1ade94cd550efb733a11e | sudhanshu vrati is an indian immunologist, microbiologist and | sudhanshu vrati is an indian immunologist, microbiologist and the director of the regional centre for biotechnology. known for his studies in the fields of rna virus replication and vaccine development, vrati is an elected fellow of the national academy of sciences, india, indian national science academy and the indian... | wikipedia |
440a33fd5ab080b974a95baa2670b2c3a9b7487a | it was during his days at the national | it was during his days at the national institute of immunology, vrati received the 2001 vasvik industrial research award. the department of biotechnology of the government of india awarded him the national bioscience award for career development, one of the highest indian science awards in 2003; the elected membership ... | wikipedia |
44a550a5bde47fb742a2b263c5d73f96957263a3 | vrati's early researches at thsti focused on jev | vrati's early researches at thsti focused on jev life-cycle like receptor binding and entry mechanisms, molecular mechanisms of virus replication, assembly, egress as well as the clinical development of an oral rotavirus vaccine. later, he concentrated on the development of dna vaccines and the details of the work has ... | wikipedia |
213b0b5d8d238ce69794764f3cd61099310d5226 | born on 19 march 1960 in the indian | born on 19 march 1960 in the indian state of uttar pradesh, sudhanshu vrati earned an msc in microbiology from g. b. pant university of agriculture and technology and did a diit in biochemical engineering at the indian institute of technology, delhi. subsequently, he moved to australia for his doctoral studies and secu... | wikipedia |
45947bc3bdf85f2f8cbd593a813cf4213922cfc8 | sudhanshu vrati (born 19 march 1960) is an | sudhanshu vrati (born 19 march 1960) is an indian immunologist, microbiologist and the director of the regional centre for biotechnology. known for his studies in the fields of rna virus replication and vaccine development, vrati is an elected fellow of the national academy of sciences, india, indian national science a... | wikipedia |
ee2b5cd1b1a281d97b4c87e1f25b76c0712a3879 | around this time, picarte moved to the southern | around this time, picarte moved to the southern chilean town of san carlos. then, in 1866, he moved to chillán, where in 1869 he married clorinda pardo, the daughter of a chilean army colonel. it is not known if the couple had any children. he made the news again in 1883 when he published "large logarithm tables to twe... | wikipedia |
5bf5ab219083752605280f2b47d8926e8b5a5817 | as a lawyer, picarte offered his services for | as a lawyer, picarte offered his services for free to those who were unable to pay. he also wrote and published leaflets that explained the key rights enshrined in the chilean civil code in simple words, putting them within reach of those with no knowledge of the law. | wikipedia |
41bf00e6cb0188e50aff4c355b822ec1a4da17c6 | in the years that followed, picarte dedicated himself | in the years that followed, picarte dedicated himself to this project, though again, he received almost no support. but he was not just an intellectual: in 1863, he organized a union for tailors, and another for shoemakers. in 1864, he took his ideas to a larger scale with the "sociedad trabajo para todos" (society of ... | wikipedia |
71da71dd962e5935d5c1069d97cdd4cf8890fae5 | observing the conditions in his own country and | observing the conditions in his own country and comparing them to what was happening in europe, picarte developed an interesting theory that he incorporated to his university thesis, called: "the importance of life insurance, and related projects which are likely to be established in chile" (importancia de la instituci... | wikipedia |
901ed31214a239443104efcbee04a88b09762f64 | when he returned to chile, picarte was preoccupied | when he returned to chile, picarte was preoccupied with the social problems that he saw around him. in france he had learned about the socialist ideas of charles fourier, cousin of famous mathematician françois marie charles fourier. these ideas had a great impact on him, and he dedicated himself to helping to solve ch... | wikipedia |
068c542c34365831699c3f7bde4822d4fb48d67c | picarte returned to chile in 1862. in october | picarte returned to chile in 1862. in october of that year he joined the faculty of physics and maths at the university of chile, although he didn't teach classes until the beginning of 1890. free of financial problems, he dedicated his life to his studies. he patented three inventions: a siphon pump, a steam siphon an... | wikipedia |
e6a4d788745c6d9e621ad4d3c43899230748bd40 | in paris, with no more than his tables | in paris, with no more than his tables and the clothes on his back, he followed the advice of other mathematicians and spent 5 months reviewing and compiling his work in order to present it to the french academy of sciences. he finally presented his work on 15 february 1859 and received warm praise from the academics. ... | wikipedia |
e8cd010cd601cff933f0710eac51d25cb9caa074 | confident in the value of his invention despite | confident in the value of his invention despite the lack of recognition in chile, picarte decided to leave his homeland. he travelled to peru in 1857, where he also failed to find a publisher. he stayed for two months taking on whatever casual work he could find, and begged his chilean acquaintances for money to contin... | wikipedia |
04d6368246bb8be59e7f5dd9c9a17cecd8aa8b18 | essentially, picarte's work did not align with the | essentially, picarte's work did not align with the needs of president manuel montt ’s development project for the newly born nation. there were no government financial support for scientific or mathematical research, and lalande's existing tables were sufficient for pedro josé amadeo pissis ’s work on topographical map... | wikipedia |
40ca10fc2f2873d0c23fce032dafd4a7da383374 | picarte asked other chilean mathematicians examine his work | picarte asked other chilean mathematicians examine his work but did not receive an enthusiastic response. he tried to sell the copyrights for it at a very low price so that it could be published and distributed, but was unable to find a buyer. he then applied for support from the government but received the same respon... | wikipedia |
f0a5f1eb7d7271177db0eb61145bc6ab316ce92c | he translated and improved the most commonly used | he translated and improved the most commonly used logarithm tables in chile, and invented a new way of calculating divisions by creating a table that allowed mathematicians to divide any number up to 10,000 with a simple sum. he also improved the lalande algorithm tables which were widely used by engineers, architects,... | wikipedia |
d0d018e509ef75fafb78a77846bdda64d4799e20 | in 1854, picarte became a mathematics professor at | in 1854, picarte became a mathematics professor at the military academy of the chilean army. in those days, mathematics was dependent on mathematical tables, which were as important for mathematicians as computers are today. there were just a few limited division and multiplication tables available in chile at the time... | wikipedia |
5726427b0329dfaf5723485e1cb3fad21ade2862 | picarte began his studies on the humanities course, | picarte began his studies on the humanities course, but soon after finishing the roman law module, he switched to maths. fortunately for him, he had an excellent maths teacher in andrés antonio gorbea. for professor gorbea, maths was an essential part of education and should not be limited to the requirements of future... | wikipedia |
edebed4bbfec46b9184639bc913898911c672c72 | picarte studied in one of the most prestigious | picarte studied in one of the most prestigious and old state schools in chile, the general josé miguel carrera national institute from 1840. some of his classmates would become illustrious figures, including guillermo, joaquín and alberto blest gana; víctor and miguel luis amunátegui; diego barros arana, one of the fat... | wikipedia |
d7609beb9e149b93bedf08baf38d6e9c87fad359 | his secondary education was better. at the time, | his secondary education was better. at the time, secondary education in chile was divided in two basic courses: humanities (intended for future lawyers) and mathematics (for future surveyors). the former was a longer course but gave a more promising future. | wikipedia |
e8ceea544cd410fa6681caca8bc40fef1b30a4ff | little is known of picarte's early education. the | little is known of picarte's early education. the subjects studied in chile at the time were reading, writing, christian doctrine, arithmetic (addition, subtraction, division, multiplication) and morality and etiquette. that was considered more than enough for ordinary citizens. | wikipedia |
25a9ac38ee06c926f62613fe731c4255e5e49861 | picarte was born on 9 june 1830, to | picarte was born on 9 june 1830, to father ramon picarte and mother carmen mujica. his father, a colonel in the independence army, had an outstanding career under the command of josé miguel carrera: he took part in many of the actions that led to chilean independence, became commander of the garrison of valparaíso, and... | wikipedia |
42d750888169a2afb3479429ff4167bd6f292dbe | milos r. popovic is a scientist specializing in | milos r. popovic is a scientist specializing in functional electrical stimulation (fes) and neurorehabilitation. as of 2018, he is director of the kite research institute at uhn toronto rehabilitation institute (tri), and a professor with the institute of biomaterials and biomedical engineering at the university of tor... | wikipedia |
94f2ecc80810a4d839ec5d6a446c644bed04e8d6 | in 2004, he was a co-founder of the | in 2004, he was a co-founder of the canadian national spinal cord injury conference, and since acts as a co-chair for the annual event. as part of his work with idapt, he also contributed to the spinal cord injury: a manifesto for change. | wikipedia |
787e42cad94d2b16ed8b55efb64013e48aa28538 | in 2008, popovic co-founded medical technology company myndtec | in 2008, popovic co-founded medical technology company myndtec based on the fes system that has been a focus of his research. the firm develops myndmove, a transcutaneous fes therapy to improve function and maximize independence for patients with stroke- and spinal-cord injury-related paralysis. | wikipedia |
096ea50f5212a8ffdce82c8898d6bc9db29faa3c | popovic developed compex motion, a portable and programmable | popovic developed compex motion, a portable and programmable system used for transcutaneous fes, in collaboration with swiss company compex sa. the stimulator can be programmed to generate a variety of stimulation sequences, can be connected to other systems to increase channel capabilities, and can be controlled exter... | wikipedia |
cc9c75f7607ed1b1757a0986bd931a7060ec24dc | popovic is involved in the development of various | popovic is involved in the development of various brain-machine interfaces (bmi) for use in humans, using implantable electrocorticographic (ecog) and surface electroencephalographic (eeg) electrode. a neuroprosthesis study conducted using ecog achieved high accuracy in producing intended grasp-and-release functionalit... | wikipedia |
095ba016203008f6ac1d318ec59c960352d5c9f4 | popovic has led studies investigating the use of | popovic has led studies investigating the use of fes in the rehabilitation of muscular function for stroke victims with extremely limited arm and hand mobility in comparison with conventional therapy. one of the best-known publications is "rehabilitation of reaching and grasping function in severe hemiplegic patients u... | wikipedia |
4fb4963282995bb69bee48d1109df67686a6de24 | functional electrical stimulation (fes) uses bursts of short | functional electrical stimulation (fes) uses bursts of short electrical pulses to generate muscle contraction. application of these electrical pulses to motor nerves results in generation of an action potential along the axon of that nerve towards its targeted muscle. with electrodes placed on the skin over the muscle,... | wikipedia |
d4a6d54de80382457c6747403cf35a9c988a5a40 | in july 2001, popovic established the rehabilitation engineering | in july 2001, popovic established the rehabilitation engineering laboratory (rel) at the lyndhurst centre of toronto rehabilitation institute. the laboratory supports multiple research groups, under supervision of 6 principal investigators, including the popovic lab. in 2018, popovic was appointed tri's director of res... | wikipedia |
aee0125305b6f5307f7ab8ed7c6bd4c39403c5f2 | popovic received a dipl. of electrical engineering from | popovic received a dipl. of electrical engineering from the university of belgrade in his native serbia in 1990. he then earned his ph.d in mechanical engineering from the university of toronto in 1996... his ph.d thesis was on friction modelling and control, under supervision of andrew goldenberg. | wikipedia |
42d750888169a2afb3479429ff4167bd6f292dbe | milos r. popovic is a scientist specializing in | milos r. popovic is a scientist specializing in functional electrical stimulation (fes) and neurorehabilitation. as of 2018, he is director of the kite research institute at uhn toronto rehabilitation institute (tri), and a professor with the institute of biomaterials and biomedical engineering at the university of tor... | wikipedia |
6ef6215f236af02ee3f13f17c8976fdf71d81fbd | the 2013 wimbledon championships men's singles final was | the 2013 wimbledon championships men's singles final was the championship tennis match of the men's singles tournament at the 2013 wimbledon championships. a significant part of the djokovic–murray rivalry, it pitted the world's top two players, novak djokovic and andy murray, against each other in a grand slam final f... | wikipedia |
f6a5f372ce37923b82c802ab1c712c414557d42e | murray's wimbledon victory dominated most of the british | murray's wimbledon victory dominated most of the british newspapers. it also even made front-page headlines on serbia's two biggest newspapers, blic and politika, and also dominated the sports sections of the new york times in the united states and australia's sydney morning herald. | wikipedia |
bd8549753ca8f68e381f1f2627b3596d4a5cf11b | this young man deserves every bit of his | this young man deserves every bit of his success, he's not just overcome adversity it is all about constant improvement. he does everything to continue his game, if he has to build himself up, he builds himself up, if he has to train himself to do things he didn't like doing, he does that. everything about him is about... | wikipedia |
af33edab5219559b01c0a652a769c259058217c9 | prime minister of the united kingdom, david cameron, | prime minister of the united kingdom, david cameron, the queen, sir chris hoy, fred perry's daughter, penny, mayor of london boris johnson, wta players laura robson and victoria azarenka, and scotland's first minister, alex salmond, were also among those who paid tribute. | wikipedia |
f898b984976f4d3e7ee738f6d4bcd2fa559a3837 | it's absolutely fantastic. it was the sheer will, | it's absolutely fantastic. it was the sheer will, that ability to find a way to get the job done when djokovic would not go away. he was serving for history, 40-0 up and djokovic saved three match points. it's an unbelievable achievement for him and one we're all incredibly proud of. he always in his heart of hearts be... | wikipedia |
a81517060de3a5aaa3607d722b0dfb5477002519 | it wasn't easy. andy deserves the win, he | it wasn't easy. andy deserves the win, he played incredible tennis. congratulations to him and his whole team and the country, i know what it means to you all. it makes the success even bigger as i am aware of the pressure he gets. there are always lots of expectations on him to win this tournament. it's a great achiev... | wikipedia |
fdd80b41afe38932d1f6596992f6173f29bb3aa4 | it feels slightly different to last year. last | it feels slightly different to last year. last year was one of the toughest moments of my career, so to manage to win the tournament today... it was an unbelievably tough match, so many long games. it was tough speaking after the match. there are a lot of people who have worked with me over the last 10 or 15 years or s... | wikipedia |
e71f07185dfa05be0a76dd1a59e9c0c472c8d2d5 | murray thus became the first british man since | murray thus became the first british man since fred perry to win the wimbledon men's singles title. djokovic, meanwhile, missed his chance to win a second wimbledon title after his victory over rafael nadal in 2011. | wikipedia |
489896fdde4b48893af249310c4246fbbdecc577 | murray then broke early to take a 2–0 | murray then broke early to take a 2–0 lead in the third set, but then djokovic won four games in a row to lead 4–2 on serve. murray then broke again to keep the set on serve, and then held his subsequent service game to level the set at 4–all. murray once again broke to take a 5–4 lead, thus putting himself in a strong... | wikipedia |
fcaa9388ada06fc0ed07248485b948fe3b68d1b8 | djokovic then started to make a comeback as | djokovic then started to make a comeback as he broke to take a 4–1 lead in the second set, though murray then won the next three games to level the set at 4–4. murray broke once again at 6–5 and once again served an ace on set point to win the second set 7–5 and thus go two sets up. | wikipedia |
a9ad4b2ef75fad2aa4a6ed7fa57968b5e2d4e703 | andy murray won the pre-match coin toss and | andy murray won the pre-match coin toss and chose ends, novak djokovic elected to serve first. andy murray then tested his serve early, earning three break points before djokovic reeled off five consecutive points to take the opening game of the match. murray then broke to take a 2–1 lead, but was immediately broken ri... | wikipedia |
9bb547a596c2892f665ce02f437fb0ad4a4e428b | the match took place on the final day | the match took place on the final day of the 2013 edition of the 13-day wimbledon championships, held every june and july. these two players had been heavily favoured to meet in the final following the early round defeats of rafael nadal, roger federer and jo-wilfried tsonga, among others. novak djokovic was the top se... | wikipedia |
8f12f40e96ae53bfbfacedb18b8c1725ba3b79c2 | after three hours and nine minutes, second seeded | after three hours and nine minutes, second seeded murray defeated world no. 1 djokovic 6–4, 7–5, 6–4 to win the match. by winning the 2013 wimbledon championships, murray became the first british man since fred perry in 1936 to win the wimbledon title and the first scottish man since harold mahony in 1896 to win the ti... | wikipedia |
c686cd65c6a8b4e1960f73484d64eea9d279bd42 | the 2013 wimbledon championships men's singles final was | the 2013 wimbledon championships men's singles final was the championship tennis match of the men's singles tournament at the 2013 wimbledon championships. a significant part of the djokovic–murray rivalry, it pitted the world's top two players, novak djokovic and andy murray, against each other in a grand slam final f... | wikipedia |
c43fadbf0efeae97a77e7160e6e82c05d48560cf | an osmotic coefficient ϕ is a quantity which | an osmotic coefficient ϕ is a quantity which characterises the deviation of a solvent from ideal behaviour, referenced to raoult's law. it can be also applied to solutes. its definition depends on the ways of expressing chemical composition of mixtures. the osmotic coefficient based on molality m is defined by: ϕ = μ a... | wikipedia |
7c63f39b3eac0520a6272dc1d72e10191b255350 | coefficient is sometimes called the rational osmotic coefficient. | coefficient is sometimes called the rational osmotic coefficient. the values for the two definitions are different, but since ln x a = − ln ≈ − m a ∑ i m i , the two definitions are similar, and in fact both approach 1 as the concentration goes to zero. | wikipedia |
c5d4ae50f0ecdeb9f2aa7ae38c87734cdc90d7c1 | this means that, at least at low concentrations, | this means that, at least at low concentrations, the vapor pressure of the solvent will be greater than that predicted by raoult's law. for instance, for solutions of magnesium chloride, the vapor pressure is slightly greater than that predicted by raoult's law up to a concentration of 0.7 mol/kg, after which the vapor... | wikipedia |
42f7eca8734064cc899c1e7855a3e1527e6fffd8 | according to debye–hückel theory, which is accurate only | according to debye–hückel theory, which is accurate only at low concentrations, (ϕ − 1) ∑ i m i {\textstyle (\phi -1)\sum _{i}m_{i}} is asymptotic to − 2 3 a i 3 / 2 {\textstyle -{\frac {2}{3}}ai^{3/2}}, where i is ionic strength and a is the debye–hückel constant (equal to about 1.17 for water at 25 °c). | wikipedia |
a846eca066a8d8dab1a5b3a6131a26c079a74a47 | for a single salt solute with molal activity | for a single salt solute with molal activity (γ ± m {\displaystyle \gamma _{\pm }m}), the osmotic coefficient can be written as ϕ = − ln (a a) ν m m a {\displaystyle \phi ={\frac {-\ln(a_{a})}{\nu mm_{a}}}} where ν {\displaystyle \nu } is the stochiometric number of salt and a a {\displaystyle a_{a}} the activity of th... | wikipedia |
ade8cbc216096feacfe7eab984e24f3ab0df3973 | in a single solute solution, the (molality based) | in a single solute solution, the (molality based) osmotic coefficient and the solute activity coefficient γ {\displaystyle \gamma } are related to the excess gibbs free energy g e {\displaystyle g^{e}} by the relations: | wikipedia |
e5b705621f760b2f8d62b451f28aac2883c64b5d | for liquid solutions, the osmotic coefficient is often | for liquid solutions, the osmotic coefficient is often used to calculate the salt activity coefficient from the solvent activity, or vice versa. for example, freezing point depression measurements, or measurements of deviations from ideality for other colligative properties, allows calculation of the salt activity coef... | wikipedia |
49a92898f83c39f8b6c3a23aeb5d5c6bed5a7513 | ln x a = − ln (1 + | ln x a = − ln (1 + m a ∑ i m i) ≈ − m a ∑ i m i, {\displaystyle \ln x_{a}=-\ln \left(1+m_{a}\sum _{i}m_{i}\right)\approx -m_{a}\sum _{i}m_{i},} | wikipedia |
dd1e9fe1dc513e5708d8547ab919ace08283dc23 | where μ a ∗ {\displaystyle \mu _{a}^{*}} is | where μ a ∗ {\displaystyle \mu _{a}^{*}} is the chemical potential of the pure solvent and μ a {\displaystyle \mu _{a}} is the chemical potential of the solvent in a solution, m is its molar mass, x its mole fraction, r the gas constant and t the temperature in kelvin. the latter osmoticcoefficient is sometimes called ... | wikipedia |
663d65fea2dcd551727eab06d23fcdfc03fc5954 | the osmotic coefficient based on molality m is | the osmotic coefficient based on molality m is defined by: ϕ = μ a ∗ − μ a r t m a ∑ i m i {\displaystyle \phi ={\frac {\mu _{a}^{*}-\mu _{a}}{rtm_{a}\sum _{i}m_{i}}}} | wikipedia |
144e8d0b5e6a7111c483fd7701f390f2e5552460 | an osmotic coefficient ϕ {\displaystyle \phi } is | an osmotic coefficient ϕ {\displaystyle \phi } is a quantity which characterises the deviation of a solvent from ideal behaviour, referenced to raoult's law. it can be also applied to solutes. its definition depends on the ways of expressing chemical composition of mixtures. | wikipedia |
6c541abd52488818d443336b07e4173c911748ff | in pattern recognition, the idistance is an indexing | in pattern recognition, the idistance is an indexing and query processing technique for k-nearest neighbor queries on point data in multi-dimensional metric spaces. the knn query is one of the hardest problems on multi-dimensional data, especially when the dimensionality of the data is high. the idistance is designed t... | wikipedia |
19b70947c15d770385af064e6b7e345e2d282727 | the idistance was first proposed by cui yu, | the idistance was first proposed by cui yu, beng chin ooi, kian-lee tan and h. v. jagadish in 2001. later, together with rui zhang, they improved the technique and performed a more comprehensive study on it in 2005. | wikipedia |
02491c6b76dd795a053a19c85ca1371427fdf656 | the idistance technique can be viewed as a | the idistance technique can be viewed as a way of accelerating the sequential scan. instead of scanning records from the beginning to the end of the data file, the idistance starts the scan from spots where the nearest neighbors can be obtained early with a very high probability. | wikipedia |
bc6030422d2e1c724f68500e35d043cd30885cb1 | to process a knn query, the query is | to process a knn query, the query is mapped to a number of one-dimensional range queries, which can be processed efficiently on a b -tree. in the above figure, the query q is mapped to a value in the b -tree while the knn search ``sphere" is mapped to a range in the b -tree. the search sphere expands gradually until th... | wikipedia |
219e8bb658b853f3d187327ffc9174944383cd76 | the figure on the right shows an example | the figure on the right shows an example where three reference points (o, o, o) are chosen. the data points are then mapped to a one-dimensional space and indexed in a b -tree. various extensions have been proposed to make the selection of reference points for effective query performance, including employing machine le... | wikipedia |
6c541abd52488818d443336b07e4173c911748ff | in pattern recognition, the idistance is an indexing | in pattern recognition, the idistance is an indexing and query processing technique for k-nearest neighbor queries on point data in multi-dimensional metric spaces. the knn query is one of the hardest problems on multi-dimensional data, especially when the dimensionality of the data is high. the idistance is designed t... | wikipedia |
6488b62a152bffda8c88c93d5db3a2674fa34a8f | on 4 february 2024, he was named as | on 4 february 2024, he was named as caretaker coach of the egyptian national team, following the dismissal of rui vitória. two days later, hossam hassan became the head coach of egypt, and youssef refused to take an administrative manager role. | wikipedia |
853a91f036840334076c6c5d6dc3195acdb52d44 | in july 2017, he became head coach of | in july 2017, he became head coach of petrojet in the egyptian premier league. in june 2018, youssef returned to al-ahly as an assistant coach and sports director till the end of his contract on 31 august 2019. on 19 october 2020, he was appointed as the head coach of the newly promoted national bank of egypt. in novem... | wikipedia |
44c0503bd839e335129480e3af5e3d7e368358fc | on 7 may 2013, youssef was promoted as | on 7 may 2013, youssef was promoted as head coach. he led al-ahly to win the 2013 caf champions league, and reached the 2013 fifa club world cup. in morocco. on 1 may 2014, he resigned from al-ahly. on 23 july 2014, he was appointed as manager of iraqi premier league champions al shorta sc. despite winning 11 and drawi... | wikipedia |
351af158525aae5e2fa3a6e23f436408205b3f40 | youssef was the captain of the egyptian team | youssef was the captain of the egyptian team in the barcelona 1992 summer olympics and scored a goal against colombia. he made his debut with the first egyptian national team in a 1994 african nations cup qualifier against morocco on 11 july 1993. youssef made 95 appearances for egypt national football team, including ... | wikipedia |
782a8c4eab69c05bce9ea17097bf7051fe74d463 | youssef began his professional career in the egyptian | youssef began his professional career in the egyptian premier league with al ahly, winning six league titles over an eight-year period. in 1999, he moved to turkey where he played in the super lig for denizlispor and diyarbakirspor. he returned to egypt to play with egyptian premier league side enppi. | wikipedia |
67c43642dac1dd870f3a59e2bf082483ef250fc7 | mohamed youssef (arabic: محمد يوسف; born 9 october | mohamed youssef (arabic: محمد يوسف; born 9 october 1970) is an egyptian former professional footballer who played as a defender for several clubs in egypt and turkey and the egypt national team. | wikipedia |
dd871c5ef80401c5b72db75164a52f8c7450dbf6 | in mathematics, a generalized hypergeometric series is a | in mathematics, a generalized hypergeometric series is a power series in which the ratio of successive coefficients indexed by n is a rational function of n. the series, if convergent, defines a generalized hypergeometric function, which may then be defined over a wider domain of the argument by analytic continuation. ... | wikipedia |
cee81bf0fd463032bcb52553418165cc72150749 | special hypergeometric functions occur as zonal spherical functions | special hypergeometric functions occur as zonal spherical functions on riemannian symmetric spaces and semi-simple lie groups. their importance and role can be understood through the following example: the hypergeometric series f has the legendre polynomials as a special case, and when considered in the form of spheric... | wikipedia |
fbdc4736486cbd4dc002f8290265361e6e953dd1 | during the twentieth century this was a fruitful | during the twentieth century this was a fruitful area of combinatorial mathematics, with numerous connections to other fields. there are a number of new definitions of general hypergeometric functions, by aomoto, israel gelfand and others; and applications for example to the combinatorics of arranging a number of hyper... | wikipedia |
7589c16e73e84e6460d3a86bdfdd2dc0624b4ef2 | the generalized hypergeometric function is linked to the | the generalized hypergeometric function is linked to the meijer g-function and the macrobert e-function. hypergeometric series were generalised to several variables, for example by paul emile appell and joseph kampé de fériet; but a comparable general theory took long to emerge. many identities were found, some quite r... | wikipedia |
5511a734863fa78a6012e203d22a069327a1cdc0 | for each integer n ≥2, the roots of | for each integer n ≥2, the roots of the polynomial x − x +t can be expressed as a sum of at most n −1 hypergeometric functions of type f, which can always be reduced by eliminating at least one pair of a and b parameters. | wikipedia |
caf1f0671d3f98798b5a42fb91e0c96c44ae0272 | all roots of a quintic equation can be | all roots of a quintic equation can be expressed in terms of radicals and the bring radical, which is the real solution to x 5 + x + a = 0 {\displaystyle x^{5}+x+a=0}. the bring radical can be written as: | wikipedia |
dfabfbd8e4f0c471c519d1865c85bb7f1b221f04 | is a polynomial. up to constant factors and | is a polynomial. up to constant factors and scaling, these are the jacobi polynomials. several other classes of orthogonal polynomials, up to constant factors, are special cases of jacobi polynomials, so these can be expressed using f as well. this includes legendre polynomials and chebyshev polynomials. | wikipedia |
915aadc886abc4a16100897ea3b8e7e84f5c0620 | historically, the most important are the functions of | historically, the most important are the functions of the form 2 f 1 (a, b; c; z) {\displaystyle {}_{2}f_{1}(a,b;c;z)}. these are sometimes called gauss's hypergeometric functions, classical standard hypergeometric or often simply hypergeometric functions. the term generalized hypergeometric function is used for the fu... | wikipedia |
7643690c9248e8259e04f8aa17c318677e7bcc04 | the lommel function is s μ, ν (z) | the lommel function is s μ, ν (z) = z μ + 1 (μ − ν + 1) (μ + ν + 1) 1 f 2 (1; μ 2 − ν 2 + 3 2, μ 2 + ν 2 + 3 2; − z 2 4) {\displaystyle s_{\mu,\nu }(z)={\frac {z^{\mu +1}}{(\mu -\nu +1)(\mu +\nu +1)}}{}_{1}f_{2}(1;{\frac {\mu }{2}}-{\frac {\nu }{2}}+{\frac {3}{2}},{\frac {\mu }{2}}+{\frac {\nu }{2}}+{\frac {3}{2}};-{\f... | wikipedia |
6e079a3d864d49211e866ef42764d996f98e4bc7 | the function x 1 f 2 (1 2; | the function x 1 f 2 (1 2; 3 2, 3 2; − x 2 4) {\displaystyle x\;{}_{1}f_{2}\left({\frac {1}{2}};{\frac {3}{2}},{\frac {3}{2}};-{\frac {x^{2}}{4}}\right)} is the antiderivative of the cardinal sine. with modified values of a 1 {\displaystyle a_{1}} and b 1 {\displaystyle b_{1}}, one obtains the antiderivative of sin (x ... | wikipedia |
361da6d6efe14e4f57bf5b1eb53634b7f2066740 | when a is a non-positive integer, − n, | when a is a non-positive integer, − n, 1 f 1 (− n; b; z) {\displaystyle {}_{1}f_{1}(-n;b;z)} is a polynomial. up to constant factors, these are the laguerre polynomials. this implies hermite polynomials can be expressed in terms of f as well. | wikipedia |
b80b4d108995218ddbaea1a7e038bb0c5e21c805 | the functions of the form 1 f 1 | the functions of the form 1 f 1 (a; b; z) {\displaystyle {}_{1}f_{1}(a;b;z)} are called confluent hypergeometric functions of the first kind, also written m (a; b; z) {\displaystyle m(a;b;z)}. the incomplete gamma function γ (a, z) {\displaystyle \gamma (a,z)} is a special case. | wikipedia |
ff8adeb40c55d804447a1575069d59d85e9426a0 | as noted earlier, 0 f 0 (;; z) | as noted earlier, 0 f 0 (;; z) = e z {\displaystyle {}_{0}f_{0}(;;z)=e^{z}}. the differential equation for this function is d d z w = w {\displaystyle {\frac {d}{dz}}w=w}, which has solutions w = k e z {\displaystyle w=ke^{z}} where k is a constant. | wikipedia |
2f9fd97af35ce31823a9553a9d203d82cbd02e6e | using the technique outlined above, an identity relating | using the technique outlined above, an identity relating 0 f 1 (; a; z) {\displaystyle {}_{0}f_{1}(;a;z)} and its two contiguous functions can be given, six identities relating 1 f 1 (a; b; z) {\displaystyle {}_{1}f_{1}(a;b;z)} and any two of its four contiguous functions, and fifteen identities relating 2 f 1 (a, b; c... | wikipedia |
a6ac63e7d74b203ea02749189a4787c679163dc3 | d d z p f q = ∏ | d d z p f q = ∏ i = 1 p a i ∏ j = 1 q b j p f q {\displaystyle {\begin{aligned}{\frac {\rm {d}}{{\rm {d}}z}}\;{}_{p}f_{q}\left&={\frac {\prod _{i=1}^{p}a_{i}}{\prod _{j=1}^{q}b_{j}}}\;{}_{p}f_{q}\left\end{aligned}}} | wikipedia |
d6c43753ffa5ce498fae9109883397104ca8725d | (z d d z + b k − | (z d d z + b k − 1) p f q = (b k − 1) p f q for b k ≠ 1 {\displaystyle {\begin{aligned}\left(z{\frac {\rm {d}}{{\rm {d}}z}}+b_{k}-1\right){}_{p}f_{q}\left&=(b_{k}-1)\;{}_{p}f_{q}\left{\text{ for }}b_{k}\neq 1\end{aligned}}} | wikipedia |
dd39d89100783b83d3ade97d8cd31991e537de51 | it is immediate from the definition that the | it is immediate from the definition that the order of the parameters a, or the order of the parameters b can be changed without changing the value of the function. also, if any of the parameters a is equal to any of the parameters b, then the matching parameters can be "cancelled out", with certain exceptions when the ... | wikipedia |
6b8d15294ea1f3c092502110ffd071af38996812 | further, if p = q +1, ∑ i | further, if p = q +1, ∑ i = 1 p a i ≥ ∑ j = 1 q b j {\displaystyle \sum _{i=1}^{p}a_{i}\geq \sum _{j=1}^{q}b_{j}} and z is real, then the following convergence result holds quigley et al. (2013): | wikipedia |
608449c6de80d5b8f52ff257976677a87b7486d1 | the ordinary hypergeometric series should not be confused | the ordinary hypergeometric series should not be confused with the basic hypergeometric series, which, despite its name, is a rather more complicated and recondite series. the "basic" series is the q-analog of the ordinary hypergeometric series. there are several such generalizations of the ordinary hypergeometric seri... | wikipedia |
cdf71e81b03d06cfe1e1ce5cd9ecc74ef8c8095b | for historical reasons, it is assumed that (1 | for historical reasons, it is assumed that (1 + n) is a factor of b. if this is not already the case then both a and b can be multiplied by this factor; the factor cancels so the terms are unchanged and there is no loss of generality. | wikipedia |
bc3fd84bcc39b0edc3605b94e01575e668970673 | it is customary to factor out the leading | it is customary to factor out the leading term, so β is assumed to be 1. the polynomials can be factored into linear factors of the form (a + n) and (b + n) respectively, where the a and b are complex numbers. | wikipedia |
dd871c5ef80401c5b72db75164a52f8c7450dbf6 | in mathematics, a generalized hypergeometric series is a | in mathematics, a generalized hypergeometric series is a power series in which the ratio of successive coefficients indexed by n is a rational function of n. the series, if convergent, defines a generalized hypergeometric function, which may then be defined over a wider domain of the argument by analytic continuation. ... | wikipedia |
af6fa93828bf7b5fd6c275130afbc2d3c5eb51b6 | when he retired from cps in 1951, stout | when he retired from cps in 1951, stout became director of pathology at francis delafield hospital, a municipal cancer hospital affiliated with columbia university. in 1954, he coined the term fibromatosis (in the name congenital generalized fibromatosis, describing myofibromatosis). he remained a professor emeritus of... | wikipedia |
a9b7e4fcc0724a9f59d9044365eaf44fa84170e4 | stout authored over 300 scientific articles and one | stout authored over 300 scientific articles and one monograph, entitled human cancer (1932). he also wrote three fascicles for the atlas of tumor pathology, published by the armed forces institute of pathology. he belonged to several professional societies and was the recipient of many awards. in 1947, an organization ... | wikipedia |
1ba00eaf66af9c334c56f930274de65f899632f0 | although trained as a surgeon, stout turned all | although trained as a surgeon, stout turned all of his attention to the pathomorphologic findings in surgical specimens. in particular, he acquired a special expertise in tumor pathology. he served as director of the laboratory of surgical pathology at the columbia-presbyterian medical center from the late 1920s until ... | wikipedia |
6fa6cff9c2c014a052bff80a5d8411bd36944aa5 | returning to cps thereafter, he became an assistant | returning to cps thereafter, he became an assistant professor of surgery in 1921, an associate professor in 1928 and a full professor in 1947. beginning in 1950, he also held the concomitant rank of professor of pathology. | wikipedia |
ab76b9bbe7e69a87aaad8f1bc936edfe2d60a542 | stout was a surgical house-officer at roosevelt hospital | stout was a surgical house-officer at roosevelt hospital in new york city; he then joined the staff of cps in 1914 as an instructor in surgery. during world war i, dr. stout was a field surgeon in the u.s. army in france (see image at right). | wikipedia |
8317f95f3d6f01c75fff80a03c84a9b3c4be0c4d | arthur purdy stout was the fourth son of | arthur purdy stout was the fourth son of joseph and julia frances (née purdy) stout. he attended the pomfret school and yale university, where he earned an a.b. degree in 1907. after spending a year abroad, arthur entered the college of physicians & surgeons (cps) of columbia university. he completed his m.d. degree in... | wikipedia |
2ba1ffffeaa05dcba052cc7cf255354245a682fa | michael lee wehmeyer is the ross and marianna | michael lee wehmeyer is the ross and marianna beach distinguished professor in special education in the department of special education at the university of kansas. his research focuses on self-determination and self-determined learning, the application of positive psychology and strengths-based approaches to disabilit... | wikipedia |
9c4c5338c69e0149a38ecce69650da8c550c1109 | dr. wehmeyer has received several awards for his | dr. wehmeyer has received several awards for his research. in 2013, he received the distinguished researcher award from the arc of the united states, presented to a career academic researcher whose work has significantly advanced the field of research in intellectual and developmental disabilities. in 2015, dr. wehmeye... | wikipedia |
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