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f9c4a9e1e884806c0801e6746294ac9aa869feb8 | the station opened on june 1, 1913 as | the station opened on june 1, 1913 as kawashimamura station (川島村駅, kawashimamura-eki) on the yokkaichi railway. on march 1, 1931 it fell under the ownership of mie railway following a merger. the station was transferred to sanco following a merger in february 11, 1944. the station was renamed ise-kawashima station (伊勢川... | wikipedia |
eb0707e7141f1ddc06bd24ffb632b8afa28e1baf | ise-kawashima station (伊勢川島駅, ise-kawashima-eki) is a passenger railway | ise-kawashima station (伊勢川島駅, ise-kawashima-eki) is a passenger railway station in located in the city of yokkaichi, mie prefecture, japan, operated by the private railway operator kintetsu railway. | wikipedia |
c5e38491761bd492fd5457591095b925aace40da | larry a. curtiss is an american chemist and | larry a. curtiss is an american chemist and researcher. he was born in madison. wi. in 1947. he is a distinguished fellow and group leader of the molecular materials group in the materials science division at the u.s. department of energy's (doe) argonne national laboratory. in addition, curtiss is a senior investigato... | wikipedia |
3be44d3971622210020c44ae130279049fb61cde | curtiss is also involved in developing so-called "beyond-lithium-ion" | curtiss is also involved in developing so-called "beyond-lithium-ion" batteries, such as lithium-sulfur and lithium–air batteries. he helped create a li-o battery that runs on lithium superoxide. curtiss and researchers from argonne and the university of illinois also designed a lithium-air battery that works in a natu... | wikipedia |
9bd7cfe97d5a62c9646a3b1f2c61845025347d8c | curtiss joined argonne in 1976 as a research | curtiss joined argonne in 1976 as a research associate in argonne's former chemical technology division, where he rose through the ranks to become senior scientist in 1988. in 1998, curtiss was appointed to his current position as senior scientist and group leader of the molecular materials group within argonne's mater... | wikipedia |
f67c015be56f1839575af3216755f8384255bb17 | curtiss received his bachelor's degree in chemistry from | curtiss received his bachelor's degree in chemistry from the university of wisconsin-madison in 1969. he then attended carnegie-mellon university, where he completed his master's in physical chemistry in 1971, and his ph.d. in physical chemistry in 1973. while a graduate student, he worked under the supervision of pion... | wikipedia |
6a574d69982ac1a83d546eddde50dee27a973aa0 | curtiss is a specialist in developing quantum chemical | curtiss is a specialist in developing quantum chemical methods for accurate energy calculations and applying these methods to energy- and material-related problems, including those related to catalysis, batteries, and carbon materials. his work has been cited over 67,000 times. | wikipedia |
f1b9d2a7e11b16bdd3d47d10881f932b7c9a8fd1 | larry a. curtiss is an american chemist and | larry a. curtiss is an american chemist and researcher. he was born in madison. wi. in 1947. he is a distinguished fellow and group leader of the molecular materials group in the materials science division at the u.s. department of energy 's (doe) argonne national laboratory. in addition, curtiss is a senior investigat... | wikipedia |
67afb4635d12f942476ccda3f51de208e9d8117c | koya tanio joined to kawasaki frontale in 2011. | koya tanio joined to kawasaki frontale in 2011. in august 2013, he moved to gainare tottori. in july 2014, he moved to vonds ichihara. from 2015, he played for matsue city fc (2015), saurcos fukui (2016-). | wikipedia |
fbdc46b88c016efa948196766ba510f9d764681b | craig was involved in developing the concept of | craig was involved in developing the concept of hyperbolic logarithm and in 1710 published “logarithmotechnica generalis” in the proceedings of the royal society. by way of illustration he gives the mercator series for the logarithm (denoted l.) without mention of radius of convergence: “exemplar 1. assumatur a = y, un... | wikipedia |
4608aedbaa439797fe91ad7fe811f98986ff4601 | his work was poorly received and controversial at | his work was poorly received and controversial at the time. several later mathematicians complained about his imprecise use of probability and the unsupported derivation of his formula. stephen stigler, in his 1999 book (see references, below) gave a more favorable interpretation, pointing out that some of craig's reas... | wikipedia |
96f64599ebbac6c59bda60a102656af5ffba3e13 | in the aforementioned book, craig presents a formula | in the aforementioned book, craig presents a formula that describes how the probability of a historical event depends on the number of primary witnesses, on the chain of transmission through secondary witnesses, on the elapsed time and on the spatial distance. using this formula, craig derived that the probability of t... | wikipedia |
378e3f3ee2d27bd22b6e733fec0efe5db384e02a | jaikumar radhakrishnan is an indian computer scientist specialising | jaikumar radhakrishnan is an indian computer scientist specialising in combinatorics and communication complexity. he has served as dean of the school of technology and computer science at the tata institute of fundamental research, mumbai, india, where he is currently a senior professor. he obtained his b.tech. degree... | wikipedia |
baa976221dc37fcbc309e87ee3617640adcf9271 | he obtained his b.tech. degree in computer science | he obtained his b.tech. degree in computer science and engineering from the indian institute of technology, kharagpur in 1985 and his ph.d. in theoretical computer science from rutgers university, nj, usa, in 1991 under the guidance of endre szemerédi. his first research paper, titled "better bounds for threshold formu... | wikipedia |
76be433fef0ffab2222c7621830702fe2443be1d | jaikumar radhakrishnan (born 30 may 1964) is an | jaikumar radhakrishnan (born 30 may 1964) is an indian computer scientist specialising in combinatorics and communication complexity. he has served as dean of the school of technology and computer science at the tata institute of fundamental research, mumbai, india, where he is currently a senior professor. | wikipedia |
27f9a8f9e22e2f7d04f0693f5be98e5ec7440604 | the isotta fraschini asso caccia, a.k.a. isotta fraschini | the isotta fraschini asso caccia, a.k.a. isotta fraschini asso-450 caccia, was an air-cooled, supercharged v12 piston aero engine produced in the late 1920s and early 1930s by italian manufacturer isotta fraschini. | wikipedia |
7db803a5ef6244ecb56035c46c7c50f46dd19039 | the crankshaft, made of special steel, was supported | the crankshaft, made of special steel, was supported by a series of 8 bearings, with the insertion in the rear position between the last two of a double bearing and thrust ball bearing, which had the task of supporting the effort of the propeller whether it is mounted in a pulling or pushing configuration. | wikipedia |
178adb1d250d5bd2d4ab909d1fce0c428528b868 | the asso caccia had a v-cylinder configuration, with | the asso caccia had a v-cylinder configuration, with cylinders made of carbon steel, equipped with cooling fins, mounted separately from each other, to which a single head per cylinder was connected. above them, two light alloy carters, one per group of cylinders, had the function of connecting the cylinder heads and t... | wikipedia |
27f9a8f9e22e2f7d04f0693f5be98e5ec7440604 | the isotta fraschini asso caccia, a.k.a. isotta fraschini | the isotta fraschini asso caccia, a.k.a. isotta fraschini asso-450 caccia, was an air-cooled, supercharged v12 piston aero engine produced in the late 1920s and early 1930s by italian manufacturer isotta fraschini. | wikipedia |
8ec830b629be6a39ac8badfe5d12dfead2a9f0bf | kyōguchi station opened on february 18, 1898. with | kyōguchi station opened on february 18, 1898. with the privatization of the japan national railways (jnr) on april 1, 1987, the station came under the aegis of the west japan railway company. | wikipedia |
1de6274c928ed0caeceb23e3cd846743343c7577 | kyōguchi station (京口駅, kyōguchi-eki) is a passenger railway | kyōguchi station (京口駅, kyōguchi-eki) is a passenger railway station located in the city of himeji, hyōgo prefecture, japan, operated by west japan railway company (jr west). | wikipedia |
f9c860e7c94edccb847c011c8e3d1e2d11059a4b | john browne is an irish hurling manager and | john browne is an irish hurling manager and former hurler who played for cork senior championship club blackrock. he played for the cork senior hurling team over a seven-year period, during which time he usually lined out as a left corner-back. browne's brothers, alan and richard, also played for cork. browne began his... | wikipedia |
426e003f7a9287ba514d82d453bec9394c1105f7 | browne was retained as manager for the 2014 | browne was retained as manager for the 2014 cork championship. for the second season in succession blackrock won their opening round game, this time against na piarsaigh, however, browne's side exited following a second consecutive defeat by ballymartle in the fourth round. he stepped down as manager following this def... | wikipedia |
bcf49bf9861bfb2c0bada6ba7166c38f2aa40474 | browne was appointed manager of the blackrock senior | browne was appointed manager of the blackrock senior team in advance of the 2013 cork championship. his first season in charge saw blackrock defeat killeagh in the opening round before exiting the championship following a 2-12 to 0-17 defeat by ballymartle. | wikipedia |
8b61abadadd163aac463aabee1840142084aa755 | browne was selected for the munster inter-provincial team | browne was selected for the munster inter-provincial team for the 2004 inter-provincial championship. he made his only appearance for the team on 24 october in a 1-21 to 0-13 defeat of leinster in the semi-final. | wikipedia |
80fac3584cce5cbc51a62763a796315bbe4d4059 | browne won his third munster championship medal, again | browne won his third munster championship medal, again as a non-playing substitute, on 26 june 2005 after a 1-21 to 1-16 defeat of tipperary in the final. on 11 september 2005, cork faced galway in the all-ireland final for the first time since 1990. browne remained on the bench for the entire game, however, he collect... | wikipedia |
6ccde40fd1321a9f5d0a9cb9690b2ffda4a846c2 | browne was recalled to the panel for the | browne was recalled to the panel for the 2004 national league, however, he struggled to break on the starting fifteen. on 27 june, he was a non-playing substitute when cork suffered a 3-16 to 1-21 defeat by waterford in the munster final. in spite of this defeat, cork later qualified for the all-ireland final against k... | wikipedia |
2a57d54bca5d3f79283fc1840aa69d17286accd4 | cork qualified for the 2002 national league final | cork qualified for the 2002 national league final on 5 may, with browne starting the game at centre-back. in the week leading up to the game there had been speculation that gaelic players association members from both teams would stage a protest during the parade before the match with their socks down and jerseys out -... | wikipedia |
1c95f2d53c5d26ceb9c2d6e47dd0819c4998c6c5 | on 4 july 1999, browne won a munster | on 4 july 1999, browne won a munster championship medal after a 1-15 to 0-14 defeat of reigning champions clare in the final. on 11 september, he was selected at left corner-back for the all-ireland final against kilkenny. he claimed a winners' medal following the 0-13 to 0-12 victory. | wikipedia |
6cdee823a47d68a72f43e0ac11162d313813b5fb | browne made his first appearance for the cork | browne made his first appearance for the cork senior team on 8 march 1998 in a 0-16 to 1-08 defeat of kilkenny in the national league. on 17 may 1998, he lined out at full-back when cork defeated waterford by 2-14 to 0-13 in the national league final. browne later made his first munster championship in 1-20 to 3-11 def... | wikipedia |
6ef6b33526bd7968705d7f1d5eea0b64c03943ab | browne was eligible for the under-21 team again | browne was eligible for the under-21 team again the following season and won a second consecutive munster championship medal on 30 july following a 1-11 to 0-13 defeat of tipperary in the final. on 21 october, he won an all-ireland medal following cork's 3-11 to 0-13 defeat of galway in the final. | wikipedia |
dba55a23a28accb19a97c1a7808b4eb1e1983fee | on 17 july 1996, browne made his first | on 17 july 1996, browne made his first appearance for the cork under-21 team at right corner-back in a 2-18 to 1-12 defeat of tipperary. he won a munster championship medal on 24 july following a 3-16 to 2-07 defeat of clare in the final. | wikipedia |
9232028ea9301218d53368555441d76c9bf0268a | browne played gaelic football with blackrock's sister club | browne played gaelic football with blackrock's sister club st michael's. on 15 november 1998, lined out at centre-back when st. michael's defeated st. finbarr's by 1-11 to 0-08 to win the cork intermediate championship. | wikipedia |
a0de8749a1d4f1c2f5d6430b5532c7eed6d6b811 | blackrock qualified for a fifth cork championship final | blackrock qualified for a fifth cork championship final in six years on 12 october 2003. newtownshandrum provided the opposition for the second year in succession, however, browne, who lined out at left corner-back, ended up on the losing side by 0-17 to 1-09. | wikipedia |
96c9262bdc73f3b338a8bcacf5d2316df553c489 | after surrendering their title in 2000, browne lined | after surrendering their title in 2000, browne lined out in a third cork championship final on 6 october 2001. imokilly provided the opposition, however, he claimed a second winners' medal following the 4-08 to 2-07 victory. on 2 december, browne was again at left corner-back for blackrock's 2-14 to 0-12 defeat by ball... | wikipedia |
1e42c13c8d9a668833e1adfcdff906b3720d5945 | browne lined out at left corner-back in a | browne lined out at left corner-back in a second successive cork championship final on 31 october 1999. he ended the game with his first winners' medal after the 3-17 to 0-08 defeat of university college cork. | wikipedia |
521430d9d48babaf96cdd04040bec9f3e93d2671 | browne was just out of the minor grade | browne was just out of the minor grade when he was added to the blackrock senior team. he made his first championship appearance for the team on 14 may 1995 in a 3-07 to 0-10 defeat of avondhu. | wikipedia |
26650731bc768830e8c1899d5e5dfd3c918f9f0c | browne joined the blackrock club at a young | browne joined the blackrock club at a young age and played in all grades at juvenile and underage levels. on 23 october 1994, he was at centre-back when the blackrock minor team defeated midleton by 3-12 to 4-08 to win the cork premier minor championship. | wikipedia |
4841f71ebff06008032bcf6a75426c2e900724e2 | on 2 march 1997, browne was at left | on 2 march 1997, browne was at left wing-back when university college cork faced the garda college in the final of the fitzgibbon cup. he collected a winners' medal following the 0-14 to 1-08 victory. | wikipedia |
aa55dba6e70aa4070a3f56af005459d6d28f7985 | at inter-county level, browne was part of the | at inter-county level, browne was part of the successful cork under-21 team that won the all-ireland championship in 1997. he joined the cork senior team in 1998. from his debut, browne was ever-present in the last line of defence and made a combined total of 58 national league and championship appearances in a career ... | wikipedia |
b88bc1da5d98228a9722a85fec0045c19e017d7c | browne began his hurling career at club level | browne began his hurling career at club level with blackrock. he broke onto the club's senior team straight out of the minor grade in 1995 was part of three cork senior championship -winning teams - 1998, 1999 and 2001. browne's early prowess also saw him selected for university college cork, with whom he won a fitzgib... | wikipedia |
821b4f8da9e22e92f96386956f7ec22394ab3540 | john browne (born 1977) is an irish hurling | john browne (born 1977) is an irish hurling manager and former hurler who played for cork senior championship club blackrock. he played for the cork senior hurling team over a seven-year period, during which time he usually lined out as a left corner-back. browne's brothers, alan and richard, also played for cork. | wikipedia |
5a78d8c6e6cdeff85d56f41bf50b5b52ad5c011e | linear multistep methods are used for the numerical | linear multistep methods are used for the numerical solution of ordinary differential equations. conceptually, a numerical method starts from an initial point and then takes a short step forward in time to find the next solution point. the process continues with subsequent steps to map out the solution. single-step met... | wikipedia |
60f70a9a4e64d8d668899ed8073b913274050e98 | the second dahlquist barrier states that no explicit | the second dahlquist barrier states that no explicit linear multistep methods are a-stable. further, the maximal order of an (implicit) a-stable linear multistep method is 2. among the a-stable linear multistep methods of order 2, the trapezoidal rule has the smallest error constant (dahlquist 1963, thm 2.1 and 2.2). | wikipedia |
8b3418f88cd55b0870d6b8ff7072da200bce7896 | the first dahlquist barrier states that a zero-stable | the first dahlquist barrier states that a zero-stable and linear q -step multistep method cannot attain an order of convergence greater than q + 1 if q is odd and greater than q + 2 if q is even. if the method is also explicit, then it cannot attain an order greater than q (hairer, nørsett & wanner 1993, thm iii.3.5). | wikipedia |
54fc3c7b18417d96cc4ebd3722dc15753abea107 | these two results were proved by germund dahlquist | these two results were proved by germund dahlquist and represent an important bound for the order of convergence and for the a-stability of a linear multistep method. the first dahlquist barrier was proved in dahlquist (1956) and the second in dahlquist (1963). | wikipedia |
524401c547be562329afc776e9587a6d411fed6e | which has roots z = 0, 1 {\displaystyle | which has roots z = 0, 1 {\displaystyle z=0,1}, and the conditions above are satisfied. as z = 1 {\displaystyle z=1} is the only root of modulus 1, the method is strongly stable. | wikipedia |
4cb9b30f217961c08e635f4734be3f1bb842a215 | this polynomial is called the stability polynomial of | this polynomial is called the stability polynomial of the multistep method. if all of its roots have modulus less than one then the numerical solution of the multistep method will converge to zero and the multistep method is said to be absolutely stable for that value of h λ. the method is said to be a-stable if it is ... | wikipedia |
78293f04a0438a6733e9fe64051c21c1b05168af | furthermore, if the method is convergent, the method | furthermore, if the method is convergent, the method is said to be strongly stable if z = 1 {\displaystyle z=1} is the only root of modulus 1. if it is convergent and all roots of modulus 1 are not repeated, but there is more than one such root, it is said to be relatively stable. note that 1 must be a root for the met... | wikipedia |
964b2ef64aa56a3d6ce8a7d495e98c4e5b684ef9 | now suppose that a consistent linear multistep method | now suppose that a consistent linear multistep method is applied to a sufficiently smooth differential equation and that the starting values y 1, …, y s − 1 {\displaystyle y_{1},\ldots,y_{s-1}} all converge to the initial value y 0 {\displaystyle y_{0}} as h → 0 {\displaystyle h\to 0}. then, the numerical solution conv... | wikipedia |
f436a660105dc47374b0c3cad18d6800fb119181 | if the roots of the characteristic polynomial ρ | if the roots of the characteristic polynomial ρ all have modulus less than or equal to 1 and the roots of modulus 1 are of multiplicity 1, we say that the root condition is satisfied. a linear multistep method is zero-stable if and only if the root condition is satisfied (süli & mayers 2003, p. 335). | wikipedia |
e404ec6d7ffa0b970e5e8457eb7dcbbfcb1755a2 | the numerical solution of a one-step method depends | the numerical solution of a one-step method depends on the initial condition y 0 {\displaystyle y_{0}}, but the numerical solution of an s -step method depend on all the s starting values, y 0, y 1, …, y s − 1 {\displaystyle y_{0},y_{1},\ldots,y_{s-1}}. it is thus of interest whether the numerical solution is stable wi... | wikipedia |
fd1f014dc57e460ea4edec696adb1efbac46d492 | in particular, the method is consistent if it | in particular, the method is consistent if it has order at least one, which is the case if ρ (1) = 0 {\displaystyle \rho (1)=0} and ρ ′ (1) = σ (1) {\displaystyle \rho '(1)=\sigma (1)}. | wikipedia |
736a3c541915845eb1e53c8b7f27fa5d9d7cc291 | the s -step adams–bashforth method has order s, | the s -step adams–bashforth method has order s, while the s -step adams–moulton method has order s + 1 {\displaystyle s+1} (hairer, nørsett & wanner 1993, §iii.2). | wikipedia |
89e810ae0aaeeaf35d11b1de01b4472e8c0f1146 | if the method is consistent, then the next | if the method is consistent, then the next question is how well the difference equation defining the numerical method approximates the differential equation. a multistep method is said to have order p if the local error is of order o (h p + 1) {\displaystyle o(h^{p+1})} as h goes to zero. this is equivalent to the foll... | wikipedia |
96a4e93a2104aec359e2d2843ce60a4e34adcb42 | a good approximation of the differential equation y | a good approximation of the differential equation y ′ = f (t, y) {\displaystyle y'=f(t,y)} ? more precisely, a multistep method is consistent if the local truncation error goes to zero faster than the step size h as h goes to zero, where the local truncation error is defined to be the difference between the result y n ... | wikipedia |
5da39502d57bd53d95409f2783722c1ac06227b1 | the bdf methods are implicit methods with b | the bdf methods are implicit methods with b s − 1 = ⋯ = b 0 = 0 {\displaystyle b_{s-1}=\cdots =b_{0}=0} and the other coefficients chosen such that the method attains order s (the maximum possible). these methods are especially used for the solution of stiff differential equations. | wikipedia |
da3347fce49a6d67f0850e64402e9877c7fc43a9 | the adams–moulton methods are solely due to john | the adams–moulton methods are solely due to john couch adams, like the adams–bashforth methods. the name of forest ray moulton became associated with these methods because he realized that they could be used in tandem with the adams–bashforth methods as a predictor-corrector pair (moulton 1926); milne (1926) had the sa... | wikipedia |
e7b97e225fa0843c1e941975ebeadccb3317c2da | the derivation of the adams–moulton methods is similar | the derivation of the adams–moulton methods is similar to that of the adams–bashforth method; however, the interpolating polynomial uses not only the points t n − 1, …, t n − s {\displaystyle t_{n-1},\dots,t_{n-s}}, as above, but also t n {\displaystyle t_{n}}. the coefficients are given by | wikipedia |
2dbd88789fc875a4bf14c9172c3bdd8c5fa4aa54 | the adams–moulton methods with s = 0, 1, | the adams–moulton methods with s = 0, 1, 2, 3, 4 are (hairer, nørsett & wanner 1993, §iii.1; quarteroni, sacco & saleri 2000) listed, where the first two methods are the backward euler method and the trapezoidal rule respectively: | wikipedia |
e2f652b281609d17d31c904697dc7c9ccebcd51d | the adams–moulton methods are similar to the adams–bashforth | the adams–moulton methods are similar to the adams–bashforth methods in that they also have a s − 1 = − 1 {\displaystyle a_{s-1}=-1} and a s − 2 = ⋯ = a 0 = 0 {\displaystyle a_{s-2}=\cdots =a_{0}=0}. again the b coefficients are chosen to obtain the highest order possible. however, the adams–moulton methods are implici... | wikipedia |
36759e0b01ab06868f37d92573d284f8ba1be110 | the adams–bashforth methods were designed by john couch | the adams–bashforth methods were designed by john couch adams to solve a differential equation modelling capillary action due to francis bashforth. bashforth (1883) published his theory and adams' numerical method (goldstine 1977). | wikipedia |
51fdfbca3e904f347d9b9ed7c77e650959ccf162 | replacing f (t, y) {\displaystyle f(t,y)} by its | replacing f (t, y) {\displaystyle f(t,y)} by its interpolant p incurs an error of order h, and it follows that the s -step adams–bashforth method has indeed order s (iserles 1996, §2.1) | wikipedia |
1c6a0749c68682fecbc5aee96d11f6c1f09286ca | the polynomial p is locally a good approximation | the polynomial p is locally a good approximation of the right-hand side of the differential equation y ′ = f (t, y) {\displaystyle y'=f(t,y)} that is to be solved, so consider the equation y ′ = p (t) {\displaystyle y'=p(t)} instead. this equation can be solved exactly; the solution is simply the integral of p. this su... | wikipedia |
0f14e0eacb0a4dc675c20310de15f6606e043493 | the adams–bashforth methods with s = 1, 2, | the adams–bashforth methods with s = 1, 2, 3, 4, 5 are (hairer, nørsett & wanner 1993, §iii.1; butcher 2003, p. 103): | wikipedia |
77ead40e8b8daf1f5a49a786de6fa7cb5ef162f1 | the adams–bashforth methods are explicit methods. the coefficients | the adams–bashforth methods are explicit methods. the coefficients are a s − 1 = − 1 {\displaystyle a_{s-1}=-1} and a s − 2 = ⋯ = a 0 = 0 {\displaystyle a_{s-2}=\cdots =a_{0}=0}, while the b j {\displaystyle b_{j}} are chosen such that the methods have order s (this determines the methods uniquely). | wikipedia |
4847e85d419ccffd207ecfcef452fc3a36fe093a | the exact solution at t = t 4 | the exact solution at t = t 4 = 2 {\displaystyle t=t_{4}=2} is e 2 = 7.3891 … {\displaystyle e^{2}=7.3891\ldots }, so the two-step adams–bashforth method is more accurate than euler's method. this is always the case if the step size is small enough. | wikipedia |
b96bd41b92d41f5beb59fb298acb1427c9c684ba | this method needs two values, y n + | this method needs two values, y n + 1 {\displaystyle y_{n+1}} and y n {\displaystyle y_{n}}, to compute the next value, y n + 2 {\displaystyle y_{n+2}}. however, the initial value problem provides only one value, y 0 = 1 {\displaystyle y_{0}=1}. one possibility to resolve this issue is to use the y 1 {\displaystyle y_{... | wikipedia |
04ab7933a344d9e0207b7f35c0544f2d4896c2c6 | sometimes an explicit multistep method is used to | sometimes an explicit multistep method is used to "predict" the value of y n + s {\displaystyle y_{n+s}}. that value is then used in an implicit formula to "correct" the value. the result is a predictor–corrector method. | wikipedia |
aa3cddda079b8224201312c5f3aed85cd58c8e64 | one can distinguish between explicit and implicit methods. | one can distinguish between explicit and implicit methods. if b s = 0 {\displaystyle b_{s}=0}, then the method is called "explicit", since the formula can directly compute y n + s {\displaystyle y_{n+s}}. if b s ≠ 0 {\displaystyle b_{s}\neq 0} then the method is called "implicit", since the value of y n + s {\displayst... | wikipedia |
3b788fc8b4aba7f450709cbcde5590d48b6e3c7b | with a s = 1 {\displaystyle a_{s}=1}. the | with a s = 1 {\displaystyle a_{s}=1}. the coefficients a 0, …, a s − 1 {\displaystyle a_{0},\dotsc,a_{s-1}} and b 0, …, b s {\displaystyle b_{0},\dotsc,b_{s}} determine the method. the designer of the method chooses the coefficients, balancing the need to get a good approximation to the true solution against the desire... | wikipedia |
1a90228047765ec3b1f2021bf096de00c1fbd273 | multistep methods use information from the previous s | multistep methods use information from the previous s {\displaystyle s} steps to calculate the next value. in particular, a linear multistep method uses a linear combination of y i {\displaystyle y_{i}} and f (t i, y i) {\displaystyle f(t_{i},y_{i})} to calculate the value of y {\displaystyle y} for the desired current... | wikipedia |
ff1f1b6ae3832bbcde5a7bc47f669e747a73e878 | linear multistep methods are used for the numerical | linear multistep methods are used for the numerical solution of ordinary differential equations. conceptually, a numerical method starts from an initial point and then takes a short step forward in time to find the next solution point. the process continues with subsequent steps to map out the solution. single-step met... | wikipedia |
8aa61a546c58a7ad44231484f609e127aedc3d5b | ise-hata station was opened on march 30, 1930 | ise-hata station was opened on march 30, 1930 as a station on the japanese government railways (jgr), which became the japan national railways (jnr) after world war ii. freight operations were discontinued in 1963. along with its division and privatization of jnr on april 1, 1987, the station came under the control and... | wikipedia |
cab1d081b9661f9a245a31022d04645a9c04fe5a | ise-hata station (伊勢八太駅, ise-hata-eki) is a passenger railway | ise-hata station (伊勢八太駅, ise-hata-eki) is a passenger railway station in located in the city of tsu, mie prefecture, japan, operated by central japan railway company (jr tōkai). | wikipedia |
bc2931ac9856886f35a4b25d92602b25f2c9aa1f | kelly kenison falkner is an american chemical oceanographer, | kelly kenison falkner is an american chemical oceanographer, educator and public servant. she served as the director of the national science foundation's (nsf's) office of polar programs (opp). her work in the position led her nsf colleagues to name the falkner glacier, in victoria land, antarctica, after her. | wikipedia |
1dad1b94fdb3dc2d14d461da9d9315ec77f0b4f8 | her success in the position led her national | her success in the position led her national science foundation colleagues to name the falkner glacier, in victoria land, antarctic after her. she has also been awarded the national science foundation arctic service award(2000), and received a presidential rank award for meritorious service (2018). in 2019, falkner was... | wikipedia |
6f14fa329ba923b0e44ad14f93a8a3ccc379a8d1 | during 2007-2009, falkner was the founding program director | during 2007-2009, falkner was the founding program director of the antarctic integrated system science in the antarctic science division of the national science foundation office of polar programs. in 2011, falkner joined the national science foundation permanently, as the deputy head of polar programs, which manages t... | wikipedia |
18f41e48977b3d811e7c24ff8a6808787743d725 | prior to joining the nsf as deputy head | prior to joining the nsf as deputy head of opp on 3 january 2011, falkner was a professor at oregon state university 's college of earth, oceanic and atmospheric sciences from 1992-2011. she taught and conducted research using state-of-the-art chemical measurements to investigate a wide array of environmental topics. f... | wikipedia |
f078bd87db70872c269c156f7b28f4a5df021c71 | born in lancaster, new hampshire, falkner received a | born in lancaster, new hampshire, falkner received a b.a. in chemistry with a minor in russian from reed college in oregon in 1983. she then earned her phd in chemical oceanography from the massachusetts institute of technology / woods hole oceanographic institution joint doctoral program in 1989. | wikipedia |
7142f1dcaa9f9c38433df635b945fb889652f8f9 | kelly kenison falkner (born march 1, 1960) is | kelly kenison falkner (born march 1, 1960) is an american chemical oceanographer, educator and public servant. she served as the director of the national science foundation 's (nsf's) office of polar programs (opp). her work in the position led her nsf colleagues to name the falkner glacier, in victoria land, antarctic... | wikipedia |
a604f308f506d7fa8fd3fcdf18c7b29488613ca5 | the legions of marshal józef piłsudski bridge is | the legions of marshal józef piłsudski bridge is a road-railway bridge over the vistula river in płock, poland, connecting the old town and radziwie district on a left river bank. the bridge was constructed as part of a new railway line from kutno to sierpce and brodnica needed to fill a gap in the infrastructure of th... | wikipedia |
31ab23f8acff6524d5f20697cc891891a74cab04 | the legions of marshal józef piłsudski bridge is | the legions of marshal józef piłsudski. following the german invasion of poland at the beginning of world war 2, the bridge was blown up by the retreating polish army in september 1939. by 1943 the bridge was restored by occupying germans, and once again blown by them 1943, and restored in 1950. it underwent major ren... | wikipedia |
5eb9982a46e1f77fba07db786fd1cacf8d67a2ee | following the german invasion of poland at the | following the german invasion of poland at the beginning of world war 2, the bridge was blown up by the retreating polish army in september 1939. by 1943 the bridge was restored by occupying germans, and once again blown by them 1943, and restored in 1950. it underwent major renovation in 1979, 1994 and 2019. | wikipedia |
79af0a8ec7eb4cb93dce4910c6de79fbc85def6d | a tender for the construction of the bridge | a tender for the construction of the bridge was held in 1936, won two companies, " konstanty rudzki i spółka " and "przedsiębiorstwo robót inżynieryjnych – leszek muszyński", which started work on the bridge from both ends by 1937 and finished in 1938 in a record 20 months. the project faced unique engineering challeng... | wikipedia |
6e74f59984c6c65c2d2e58d78a0986617016321c | the bridge was constructed as part of a | the bridge was constructed as part of a new railway line from kutno to sierpce and brodnica needed to fill a gap in the infrastructure of the newly independent second polish republic left after the period the partitions of poland where in the russian controlled congress poland the occupiers limited the construction of ... | wikipedia |
29b58b255377bbb755e9c2f2e96a43fb95b3cbf7 | the legions of marshal józef piłsudski bridge (polish: | the legions of marshal józef piłsudski bridge (polish: most im. legionów marszałka józefa piłsudskiego) is a road-railway bridge over the vistula river in płock, poland, connecting the old town and radziwie district on a left river bank. | wikipedia |
b155e65c2e9b12d2bc0126e759603cd36e673ac8 | kyōteijō-mae station (競艇場前駅, kyōteijōmae-eki) is a passenger railway | kyōteijō-mae station (競艇場前駅, kyōteijōmae-eki) is a passenger railway station located in the city of fuchū, tokyo, japan, operated by the private railway operator seibu railway. | wikipedia |
f655b472089d0f5edd1726919e6ad9a4f2f7ff30 | justin philip whittle is an english former professional | justin philip whittle is an english former professional footballer who played as a defender from 1994 until 2011. as a player, he notably captained humber derby clubs hull city and grimsby town. he also appeared for celtic where he started his career in 1994 before moving on to stoke city. following his departure from ... | wikipedia |
14551592fd5a3d99d5ef0cc2be09472fdc118f34 | whittle is a former member of the royal | whittle is a former member of the royal army pay corps in the british army where he served before embarking in his football career. since retiring from football, whittle has continued to reside in kingston upon hull where he often writes columns for local newspapers analysing his former club hull city. | wikipedia |
3b951409933bf391c2dde92fd98402134cb98800 | following his retirement whittle became assistant manager at | following his retirement whittle became assistant manager at former club north ferriby united in august 2011. following the resignation of john anderson on 11 september, whittle took caretaker control of the first team alongside club captain paul foot. whittle left the club in october following the appointment of manag... | wikipedia |
058b7358677c36a08f60ae0ac7efda193d118c74 | despite the club struggling in the league, whittle | despite the club struggling in the league, whittle was voted "player of the season" for his efforts and earned himself a 1-year contract extension. it was apparent from the start of the following season that whittle was to play a smaller or less important role in the club's affairs. the number 6 shirt he had held since... | wikipedia |
32e8ca8c01c99e2d69f5cc4490206511fe7edc96 | whittle joined grimsby in time for the start | whittle joined grimsby in time for the start of the 2004–05 season after it became apparent that first team opportunities would be limited at hull due to an influx of new players and that he would lose the captaincy as a result. after an average first season with grimsby, whittle went from strength to strength, and pro... | wikipedia |
75e66ced5403083c3bbe7ed5d2b3c0d318c2930a | justin spent six seasons at hull city and | justin spent six seasons at hull city and was a firm fans' favourite there. he was recruited by warren joyce in 1998 while city were battling relegation from the football league and became an integral part of the "great escape" team. he left after captaining the promotion-winning 2003–04 side – he was offered a new con... | wikipedia |
95a1d1c65145c68f5c8724d40ce96c82c2ff67f2 | whittle was born in derby and began his | whittle was born in derby and began his career in the army and was deployed to germany where he served with the british army of the rhine. whilst in germany he played football in an army tournament and was spotted by scouts from celtic and he joined them along with gary holt. after a season at celtic both joined lou ma... | wikipedia |
4516c7e58d8187ae1845a9bc550594ba3b863cee | as a player, he notably captained humber derby | as a player, he notably captained humber derby clubs hull city and grimsby town. he also appeared for celtic where he started his career in 1994 before moving on to stoke city. following his departure from grimsby in 2008 he moved into the non-league game playing for harrogate town and north ferriby united before retir... | wikipedia |
5b9e6018ba080b210dc1ed93dcc2277001a16747 | in re doubleclick inc. privacy litigation, 154 f. | in re doubleclick inc. privacy litigation, 154 f. supp. 2d 497 ("doubleclick"), had internet users initiate proceedings against doubleclick, alleging that doubleclick's placement of web cookies on computer hard drives of internet users who accessed doubleclick-affiliated web sites constituted violations of three federa... | wikipedia |
627c2cb8eeef0d1f5471466616f45b9378625a85 | doubleclick eventually entered into a settlement agreement with | doubleclick eventually entered into a settlement agreement with the plaintiffs. under the settlement's terms, doubleclick was required to explain its privacy policy in "easy-to-read" language; conduct a public information campaign consisting of 300 million banner ads inviting consumers to learn more about protecting th... | wikipedia |
432c4e7ffb27da01fa427aad57c612af40751f7d | plaintiffs' alleged emotional distress due to doubleclick’s invasion | plaintiffs' alleged emotional distress due to doubleclick’s invasion of their privacy, trespass to their personal property, and misappropriation of confidential data was not actionable under the computer fraud and abuse act which only authorized the recovery of economic losses. the court denied the plaintiffs' claim th... | wikipedia |
117fd47762e943fc62cc58fbfb4fa59fd392cbb0 | the plaintiffs sought damages for the loss caused | the plaintiffs sought damages for the loss caused accruing from the unauthorized access of their computers and the misappropriation of information by doubleclick. doubleclick did not dispute that plaintiffs' computers were protected under the computer fraud and abuse act or that its access was unauthorized. the court s... | wikipedia |
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