id stringlengths 40 40 | title stringlengths 15 120 | text stringlengths 41 3.14k | source stringclasses 2
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c86239c98ceddaccf1377e5f8c08aaa36607994e | the bridge was initially planned by state engineers | the bridge was initially planned by state engineers and the two river ottauquechee regional planning commission, with the burlington-based architects truex, collins and partners designing the structure. construction began in the winter of 2000. | wikipedia |
07b3584c781e5ca468f074f2b2b5660f7279bcdd | the new bridge connected the new village of | the new bridge connected the new village of south royalton to the rest of royalton, and later to the stagecoach route to chelsea and tunbridge (present-day route 110). it was a toll bridge, with gates, a gate keeper, and a few cents' toll. this bridge was torn down in 1903, replaced with a single-lane camelback iron tr... | wikipedia |
1bbdbd8a2b2493561826e898b69bf1f2617bfce5 | a bridge was planned on the site as | a bridge was planned on the site as early as daniel tarbell jr. planned south royalton. at the time, some residents would cross the ford-way, or cross the bridge in the village of royalton, which tarbell did not want to encourage. the town and its road committee were not responsive, so tarbell convinced several residen... | wikipedia |
28447d4aa20f05679e23bcce13fe497d0a2d927b | the bridge has a slight, gradual curve to | the bridge has a slight, gradual curve to it, allowing chelsea street and route 110 to line up. the curve is more subtle than the prior structure, which had an "infamous crook" in it, as it was built using an older approach. the bridge's sharp turn served to slow down automobile traffic entering the pedestrian-oriented... | wikipedia |
7cd5ba2dd58b879f9c47ee76f7039a6cf98bf7ac | it has two vehicular lanes, as well as | it has two vehicular lanes, as well as a sidewalk on its upriver side, allowing pedestrians a view of the white river. it is adorned with vermont granite, sourced from woodbury, making up the piers and abutments of the structure. | wikipedia |
16adc4c50027d37df3592e709d54cfc21ce10b8a | the chelsea street bridge spans over the white | the chelsea street bridge spans over the white river, carrying chelsea street south from vermont route 110 into the village of south royalton. chelsea street is the major axis of the village, and the bridge is considered the "main entrance to the village". | wikipedia |
cc23ca0e23ccfd72a7513cbca9916cec4a924378 | mikko viitanen is a finnish former professional ice | mikko viitanen is a finnish former professional ice hockey defenceman who most notably played in the finnish liiga. he was drafted 149th overall by the colorado avalanche in the 2001 nhl entry draft. viitanen previously played seven seasons with jyp, joining from fellow liiga club lukko rauma in 2009. on april 23, 2015... | wikipedia |
439ebd92e004aca8eb0ca82d779e796d64abbf41 | on april 23, 2015, viitanen joined his fourth | on april 23, 2015, viitanen joined his fourth finnish liiga club, in agreeing to a two-year contract with Ässät pori. viitanen appeared in 32 games for 5 points in the 2015–16 season. with his campaign limited due to injury and with the toll of 15 professional seasons mounting, viitanen opted to forgo the final year of... | wikipedia |
f2e3425a9da8ca7832172b60ee6b9dbade5bc22f | mikko viitanen (born february 18, 1982) is a | mikko viitanen (born february 18, 1982) is a finnish former professional ice hockey defenceman who most notably played in the finnish liiga. he was drafted 149th overall by the colorado avalanche in the 2001 nhl entry draft. viitanen previously played seven seasons with jyp, joining from fellow liiga club lukko rauma i... | wikipedia |
cecf2f8da45038b4c3082b4e42074939faa5554f | in returning to the khl for the 2017–18 | in returning to the khl for the 2017–18 season, zackrisson made a quick transition to hc sibir novosibirsk, securing a top-line role in leading the club in scoring with 42 points in 56 games. he left as a free agent to sign a lucrative two-year contract with hc dynamo moscow on may 2, 2018. | wikipedia |
b6a448f026698e036d499d355c029e07b42e2f91 | on august 20, 2013, zackrisson signed for hc | on august 20, 2013, zackrisson signed for hc lev praha. after one season with lev praha, zackrisson returned to sweden and signed with skellefteå aik. in his two years at skellefteå, the team reached the shl finals twice, but did not clinch the title. in may 2016, he signed a deal with hc lugano of the swiss top-flight... | wikipedia |
88192487af917a32ed554e02931aecb56b610a14 | zackrisson scored his first goal in elitserien on | zackrisson scored his first goal in elitserien on 27 september 2007 against luleå hf. in the 2008 swedish championship finals against hv71 he was noted for three goals and one assist, his only points in the playoffs. in february 2009, zackrisson signed a two-year contract with linköping solidifying a place in the team ... | wikipedia |
33945ba5e607e963b9e81ef0af19a582940a4d29 | zackrisson spent his junior career with frölunda hc | zackrisson spent his junior career with frölunda hc before moving to play one season with rögle bk in the hockeyallsvenskan, and then signing with linköpings hc, where he spent four seasons. zackrisson was drafted 165th overall in the 2007 nhl entry draft by the san jose sharks. | wikipedia |
8b48cc948f82ac9a2e2967fa273aa0a9c6a467d7 | on 16 june 2021, soni signed a three-year | on 16 june 2021, soni signed a three-year deal with the greek superleague club asteras tripolis fc. on 27 november 2021, soni scored a brace and gave two assists, helping his club prevail over atromitos fc 6–2 for super league, making one of his best appearances with milan rastavac on its bench. he was voted man of the... | wikipedia |
9b1d1def684a07105a1de8df4dd0845a4840d201 | on 27 august 2020, soni agreed to a | on 27 august 2020, soni agreed to a one-year loan deal with another reserve team, villarreal cf b also in division three. the following 2 february, he moved to fellow league team celta de vigo b, while still owned by girona. | wikipedia |
9f113c1b27256d9f113fbdfc5d396d76df56d94d | on 8 april 2018, soni made his first | on 8 april 2018, soni made his first team – and la liga – debut, coming on as a late substitute for portu in a 0–5 loss against real sociedad. on 31 august of the following year, after girona's relegation, he was loaned to rcd espanyol 's reserves in the third division, for one year. | wikipedia |
8978cd121992dd831ff7d0e9bd32a2f54f6b4ede | soni was born in douala, but moved to | soni was born in douala, but moved to france at early age. a fc girondins de bordeaux youth graduate, he made his first team debut at 21 january 2015 by replacing nicolas maurice-belay in a 1–2 coupe de france defeat against paris saint-germain fc. on 8 september 2016, he was loaned to pau fc for one year. | wikipedia |
f212fc6fb3c7a195beeb721afc380e89cd4f542b | in the 2021–22 season, salo was recalled from | in the 2021–22 season, salo was recalled from ahl affiliate, the bridgeport islanders and made his nhl debut with new york on 20 november 2021, which coincidentally was also the first ever game played at ubs arena. he recorded his first nhl point, a primary assist on a second period power play goal, on 16 december in a... | wikipedia |
2891d6eaffe8cf1c8b0c8c606a0bf63e6499488b | in the midst of the 2020–21 season, while | in the midst of the 2020–21 season, while leading the swedish club, Örebro hk of the swedish hockey league (shl), in assists and scoring from the blueline, salo was signed to a two-year, entry-level contract with the new york islanders on 13 february 2021. he was reassigned to continue his tenure with Örebro hk for the... | wikipedia |
503e90ad2d4dd3c760563ec76bdbce30d80fc140 | following the 2017–18 season, after three liiga campaigns | following the 2017–18 season, after three liiga campaigns with vaasan sport, salo left at the conclusion of his contract to sign a two-year deal with fellow liiga outfit, saipa, on 13 april 2018. | wikipedia |
caa27e7e7a43e3793ecf4223dae03432a7f63c3d | samuel girard is a canadian professional ice hockey | samuel girard is a canadian professional ice hockey defenceman for the colorado avalanche in the national hockey league (nhl). after playing major junior hockey with the shawinigan cataractes, girard was drafted 47th overall by the nashville predators in the 2016 nhl entry draft. he briefly played for the predators unt... | wikipedia |
4688465b28426b5721b992db545948ee048e65b4 | in 2018, as he was returning from a | in 2018, as he was returning from a charity event, girard fell asleep at the wheel while driving a chevrolet camaro and it struck the parapet, causing major damage. he maintained minor neck pain after the injury and was transported to alma hospital as a preventative measure. | wikipedia |
7bc39bdf9454155d543de6005bb464d3a5c90e26 | girard is actively involved in helping raise funds | girard is actively involved in helping raise funds for cystic fibrosis, which his cousin is afflicted by. in 2019, girard and his father hosted a pocket game tournament to raise funds towards a cure for cystic fibrosis. he also donated a portion of his profits from the qmjhl to the julie robitaille's school of power sk... | wikipedia |
4dd840d8c545298d2c570932e62b389d947eb6f7 | in 2019, the benoît-lévesque sports centre, where girard | in 2019, the benoît-lévesque sports centre, where girard played hockey growing up, created a recognition window which depicted about girard's journey to the nhl. he was also invited to sit as honorary presidents of the cadet and juvenile division 1 school hockey championship with the quebec student sports network. | wikipedia |
8ebb5c9c346b53630db0db45cc69c0868fdc2120 | ryan kennedy of the hockey news described girard | ryan kennedy of the hockey news described girard as "an excellent offensive defenseman who uses his smarts to get around the ice, girard ended the regular season en fuego, with seven points in his last two games. defensive play is a concern, but his escapability is uncanny when he has the puck." | wikipedia |
5fe7559389f25cd5050a6887ba36114aba95ccff | described as a smooth-skating and mobile player, girard | described as a smooth-skating and mobile player, girard is compared to long-time chicago blackhawks defenceman duncan keith. standing at 5-foot-10 in his draft year, girard has also drawn comparisons to brian campbell due to his stature, "strong edge work and balance." | wikipedia |
5041d3e338461df4f091bb920bace5439236b4b5 | "samuel has been one of our best all-around | "samuel has been one of our best all-around defencemen since joining the avalanche....he plays important minutes and is someone our coaches count on to play against other teams' top lines. he has an exceptional ability to skate and move the puck." | wikipedia |
885f74921979b5f066b86e2ef4a733f3e4037f4b | as a citizen of canada, girard has been | as a citizen of canada, girard has been given the opportunity to compete with team canada at multiple international levels. in his rookie season with the shawinigan cataractes, girard was selected for team canada at the world u-17 hockey challenge. in 2015, girard was selected to compete with team canada at the hlinka ... | wikipedia |
e9fcaf2ffbc70ae0f8f179e2ddb5e73c76be8871 | girard participated in the avalanche's run in the | girard participated in the avalanche's run in the 2022 stanley cup playoffs until game 3 of the second round series against the st. louis blues, when he exited the game after a hit from blues forward ivan barbashev. the avalanche reported that he had broken his sternum and would miss the remainder of the playoffs. in g... | wikipedia |
7a848d46ae616de0ff958f41abe51c60a5079c54 | girard began the 2019–20 season with the avalanche | girard began the 2019–20 season with the avalanche in the nhl. on january 2, he recorded a career-high four assists in a 7–3 win over the st. louis blues. later that month, he played in his 200th career nhl game and became the longest active iron man streak holder on the team. in his 200th career game on january 11, gi... | wikipedia |
8ac61cc4d8f3eacfa7d81ec802fb6de39c59c66c | during the 2018–19 season, girard played in all | during the 2018–19 season, girard played in all 82 games and was tied second amongst avalanche defensemen in points with 27. he also played an average of 19:53, including a career-high 26:36 on november 30 against the st. louis blues. on december 19, 2019, girard was fined $1,957.89 for boarding chicago blackhawks wing... | wikipedia |
c5c00261695adf2223989cc00238861a67edb83f | girard joined the avalanche in stockholm, sweden for | girard joined the avalanche in stockholm, sweden for their global series games against the ottawa senators. in his avalanche debut at ericsson globe, girard played top-pairing minutes and registered an assist, in a 4–3 overtime defeat to the senators on november 10, 2017. upon returning to north america, girard remaine... | wikipedia |
c96e51af0de7b20f6c5d206852d74aeb0ec9361c | girard made his nhl debut during the predators | girard made his nhl debut during the predators 2017–18 season home opener on october 10, 2017 against the philadelphia flyers. he registered a –1 rating and recorded his first point with an assist on a goal by filip forsberg. girard scored his first nhl goal in just his second game on october 12, 2017 against the dalla... | wikipedia |
4879e98b82aa473a0a9ef9adc673a2f576f95893 | girard was selected by the nashville predators in | girard was selected by the nashville predators in the second round, 47th overall, in the 2016 nhl entry draft. he was invited to the predators 2016 training camp and signed a three-year, entry-level contract on september 29, 2016. however, he was returned to the qmjhl to complete his final season of junior hockey. in h... | wikipedia |
288a7a158e8f97b2586e6aa5414ea997c0cb6e14 | in the following season, girard continued his scoring | in the following season, girard continued his scoring success and recorded a career high 74 points in 64 games. he started his sophomore season by recording seven points in two games. later in october, girard was selected to compete in the chl canada/russia series for team qmjhl. on november 2, 2015, girard was named t... | wikipedia |
e934f712e3da223bf93849681c6cc33dc330c01e | in his first season with the cataractes, girard | in his first season with the cataractes, girard recorded his first career qmjhl goal on november 15, 2014, in overtime to beat the rouyn-noranda 5–4. by the conclusion of his rookie season with the cataractes, girard recorded 43 points in 64 games which earned him the raymond lagacé trophy as defensive rookie of the ye... | wikipedia |
ff58beeafd906f2c3247d0961ac89776092233d0 | girard was drafted third overall by the shawinigan | girard was drafted third overall by the shawinigan cataractes in the 2014 qmjhl entry draft, making him the first player from jonquière elites to be drafted that high since jean imbeau in 1989. girard moved in with power skating coach julie robitaille during his rookie season and trained with mathieu bellemare, and bru... | wikipedia |
3e140e694bc186a0d435f215dc3c016c123b4fad | girard began playing ice hockey when he was | girard began playing ice hockey when he was four years old. while attending wilbrod-dufour pavilion, he began training with mathieu gravel in order to increase his muscular mass and stamina. girard played in the 2011 quebec international pee-wee hockey tournament with a minor ice hockey team from lac-saint-jean. while ... | wikipedia |
a4f641d07847ee3d892834b480ce2236e95fe969 | girard was born on may 12, 1998, to | girard was born on may 12, 1998, to family day care educator guylaine and forklift driver tony girard. he was raised in roberval, quebec, canada alongside siblings jérémy, christopher, and jessica. girard is also the nephew of roberval mayor guy larouche and his grandfather gaston girard is a hockey trainer. | wikipedia |
a9f268300baa5f2d0168db421258837d3564c8be | as a member of the colorado avalanche, girard | as a member of the colorado avalanche, girard improved his on-ice success recording career-high numbers in his first three seasons. during the 2019–20 season, girard joined fellow defensemen cale makar in the 30 points club, making the avalanche the first team with multiple defensemen under the age of 22 who have at le... | wikipedia |
b1f3fc1aa5af544b84d6e86fc36fba4431415ccc | samuel girard (born may 12, 1998) is a | samuel girard (born may 12, 1998) is a canadian professional ice hockey defenceman for the colorado avalanche in the national hockey league (nhl). after playing major junior hockey with the shawinigan cataractes, girard was drafted 47th overall by the nashville predators in the 2016 nhl entry draft. he briefly played f... | wikipedia |
8fb69929503afb2cfeb02c85181e6dad4ecbcd80 | the groove coaster series is an ios / | the groove coaster series is an ios / android and arcade rhythm game franchise developed by matrix software and published by taito. the first groove coaster was released for ios on july 28, 2011. this rhythm game follows a roller coaster type track on screen, where players must make the appropriate controller inputs. l... | wikipedia |
93eb41741829cadff2ff60b055b72e84084c08ca | eurogamer said "groove coaster still lacks enough of | eurogamer said "groove coaster still lacks enough of a challenge to be interesting, and it's only when you play each song on hard that the game's potential reveals itself. even then, it's unlikely that hardcore rhythm action fiends will care much for its casual approach." metrocentral said "one of the best marriages of... | wikipedia |
ba58a15b3eba9911582076ede0caaf308d86443d | slidetoplay said " we don't know what space | slidetoplay said " we don't know what space invaders are doing in a rhythm game, but we like it." ign wrote "nearly perfect. the music is great. the visuals are great. the rhythm action itself feels tight and perfectly matches each tune. best of all, this is an experience that would be very hard to replicate on a tradi... | wikipedia |
b4232fb244ac833198f8d18a121ca29077787fb2 | when the stage ends, a match result screen | when the stage ends, a match result screen will be shown. from 2, the player competes with each other with total number of stars earned from three tunes. the player with the most stars wins the match.in 3lf, for some rewards, the star given to players will increase in later tunes, making the game easier to be reversed ... | wikipedia |
09345a90bcf7112886ec1ac6e91f37ff4c0b14c6 | in the stage, the player's own avatar is | in the stage, the player's own avatar is shown on the course line, while other players are shown beside it. also, the player's own rank is shown right below the avatar. as the stage progresses, the relative position of the players' avatars will differ, depending on their own play scores. | wikipedia |
0ca22d8eb4afae023dec3599cbf25e9b9c168ceb | each player selects the song they want to | each player selects the song they want to play in a set list. when all players finish selecting, the system will select a song from the players' choices via roulette. the players then select their own mode, items, and skins. the extra mode will be unavailable if the player has not yet unlocked it. | wikipedia |
275b0e9eaedf3991861f23955e739f2124ee3db6 | stage selecting is almost the same as single-player | stage selecting is almost the same as single-player mode. any player can decide the song that will be played in the match. each player selects their own mode, items, and skins. however, extra mode selecting goes differently. if the songs that contain extra mode were selected by the player that has already unlocked the ... | wikipedia |
54139503692f0d69013ab0d3df504878a42f3410 | the player can start the play in multiplayer | the player can start the play in multiplayer mode. once a player starts recruiting, a 90-second countdown will start. other players (up to three more, which can make a four-player match) can join the match before the countdown ends. the recruiting player can also end the recruitment by pressing the booster button. | wikipedia |
089e6aff59602a73bc1c87ded8c29abd7839ace7 | launched on november 20, 2012, for free. celebration | launched on november 20, 2012, for free. celebration events were held when the app reached 1,000,000 and 2,000,000 downloads in july 2013 and on may 19, 2014, respectively. | wikipedia |
cc6647b414e7ca6501204af268fca53b42bad2e7 | the unlock key system is introduced in arcade | the unlock key system is introduced in arcade version since ver. 4.02. after each play, the player receives 1 to 2 keys, depending on the mode they're playing. the player can receive one extra key each time they play the designated song, usually the one chosen for events. the keys can be used to unlock various contents... | wikipedia |
074f1cc5248875d55cffcb1380d382884af58a56 | after the player finished a song, a rating | after the player finished a song, a rating (rate in arcade version) is given, from lowest to highest, e, d, c, b, a, and s (two higher rating, s+ and s++, are added in the ex and 2os versions), according to the performance. | wikipedia |
e423c4faaf67ddbbd5035fd16994c1a0eff75afd | as the player continuously hits the target successfully, | as the player continuously hits the target successfully, the chain count will increase. fever is activated when chain count reaches 10, and chain number acquired from each successful hit will be doubled in fever. in arcade version, trance is activated when chain count reaches 100, and chain number acquired from each su... | wikipedia |
2dae9897c8dc22140d9b86f6162ba266f5959a2f | when the target is hit, the target triggers | when the target is hit, the target triggers a sound sample that recomposes or accompanies the song, or is a consistent sound for every target hit, depending on the song; these samples are consistent across all difficulties for the former. however, in groove coaster: wai wai party!!!!, targets will always play a consist... | wikipedia |
e5c68803a59515c59a7a790598d94a3efb96011d | when the avatar reaches the target, input the | when the avatar reaches the target, input the command that the target requires. after a target is hit, a judgment is received, from the highest to lowest: great, cool, good and miss, depending on the timing of hitting the target. great, cool and good fill the groove gauge on the top of the screen, while miss depletes i... | wikipedia |
c495ba17593a0d2013757849b5e64555cd5f0bdf | groove coaster 4max: diamond galaxy was released on | groove coaster 4max: diamond galaxy was released on april 9, 2020. this was the final version of the arcade game, which had stopped getting updates in 2022 and was taken offline on april 1, 2024. | wikipedia |
97086e89a2bebf8c8ae83a26a4edfe163f4a88c8 | groove coaster 4: starlight road, was released on | groove coaster 4: starlight road, was released on march 29, 2018, with a brand new "level" system, in which the difficulty level range is re-arranged from 1 to 15, a new stage unlocking system, and various new functions online. a new navigator for 4sr, named seine (voiced by eriko kawakami), is introduced as well. | wikipedia |
3c3d6e044d1f8c29442e6549f43e3c9c9dca1fb6 | groove coaster 3ex: dream party was released on | groove coaster 3ex: dream party was released on march 16, 2017. in this version, the player is allowed to select the navigators. a new navigator, yume (ユメ, voiced by nanami takahashi in japanese version) is added as well. also, solo event mode, similar to the one until 2hf, returned in 3exdp. | wikipedia |
5431277c494fc0005ec9d860b8b986de8ed0f014 | groove coaster 3: link fever was released on | groove coaster 3: link fever was released on march 10, 2016, in which an online multiplayer system is added and the "music panel" system is removed. a fictional navigator, linka (リンカ, voiced by moe toyota in japanese version and jennifer skidmore in overseas versions), who will guide the player throughout the whole pla... | wikipedia |
5db39e8b84a64979a5eddf02e86d5c98b9e209d7 | groove coaster 2: original style was released on | groove coaster 2: original style was released on ios and android on july 1, 2015. in this version, stage charts from arcade version are added for some tracks, which makes two-finger play available. a new input mode is introduced, in which players play the stages by making sound instead of touching the screen. | wikipedia |
0a25e964355576b81dfebc01f66774947165b021 | groove coaster 2: heavenly festival (known as rhythmvaders | groove coaster 2: heavenly festival (known as rhythmvaders 2 in some areas outside japan) was released on january 22, 2015, in which the "level" system was removed and was replaced by a new system called the "groove coin" system, in which players can get "groove coins" according to their performance and use them as cur... | wikipedia |
312938fd40ada67d903333fc9034da40dcf775b8 | the groove coaster (japanese: グルーヴコースター, hepburn: gurūvu kōsutā) | the groove coaster (japanese: グルーヴコースター, hepburn: gurūvu kōsutā) series is an ios / android and arcade rhythm game franchise developed by matrix software and published by taito. the first groove coaster was released for ios on july 28, 2011. this rhythm game follows a roller coaster type track on screen, where players ... | wikipedia |
e78e23a786a1f6d500254c41096927b89f5ba56b | in topology, urysohn's lemma is a lemma that | in topology, urysohn's lemma is a lemma that states that a topological space is normal if and only if any two disjoint closed subsets can be separated by a continuous function. urysohn's lemma is commonly used to construct continuous functions with various properties on normal spaces. it is widely applicable since all ... | wikipedia |
5ca3f97a41e877a9449099459f0e5221166a79d7 | once we have these sets, we define f | once we have these sets, we define f (x) = 1 {\displaystyle f(x)=1} if x ∉ u (r) {\displaystyle x\not \in u(r)} for any r {\displaystyle r}; otherwise f (x) = inf { r: x ∈ u (r) } {\displaystyle f(x)=\inf\{r:x\in u(r)\}} for every x ∈ x {\displaystyle x\in x}, where inf {\displaystyle \inf } denotes the infimum. using ... | wikipedia |
db7d6ea0a8901eeca94e8bb89a579a559bd59c66 | now assume that n ≥ 0 {\displaystyle n\geq | now assume that n ≥ 0 {\displaystyle n\geq 0} and that the sets u (k / 2 n) {\displaystyle u\left(k/2^{n}\right)} and v (k / 2 n) {\displaystyle v\left(k/2^{n}\right)} have already been constructed for k ∈ { 1, …, 2 n − 1 } {\displaystyle k\in \{1,\ldots,2^{n}-1\}}. note that this is vacuously satisfied for n = 0 {\dis... | wikipedia |
e848c544ae2b89a454fc982b6cca6e4219cace01 | this construction proceeds by mathematical induction. for the | this construction proceeds by mathematical induction. for the base step, we define two extra sets u (1) = b ∁ {\displaystyle u(1)=b^{\complement }} and v (0) = a {\displaystyle v(0)=a}. | wikipedia |
f6f48b6df178ac047f352980894a54d017dd5646 | the sets we build are indexed by dyadic | the sets we build are indexed by dyadic fractions. for every dyadic fraction r ∈ (0, 1) {\displaystyle r\in (0,1)}, we construct an open subset u (r) {\displaystyle u(r)} and a closed subset v (r) {\displaystyle v(r)} of x {\displaystyle x} such that: | wikipedia |
12a1695301e307791efcfe98064e87843dc4a962 | let a {\displaystyle a} and b {\displaystyle b} | let a {\displaystyle a} and b {\displaystyle b} be disjoint closed subsets of x {\displaystyle x}. the main idea of the proof is to repeatedly apply this characterization of normality to a {\displaystyle a} and b ∁ {\displaystyle b^{\complement }}, continuing with the new sets built on every step. | wikipedia |
5b62dd0d24076f6c257a85fa3e655c4e27e39bd4 | the proof proceeds by repeatedly applying the following | the proof proceeds by repeatedly applying the following alternate characterization of normality. if x {\displaystyle x} is a normal space, z {\displaystyle z} is an open subset of x {\displaystyle x}, and y ⊆ z {\displaystyle y\subseteq z} is closed, then there exists an open u {\displaystyle u} and a closed v {\displa... | wikipedia |
6fd30b04caff7d2aadff65de9e6182186d6cb568 | a topological space x {\displaystyle x} is normal | a topological space x {\displaystyle x} is normal if and only if, for any two non-empty closed disjoint subsets a {\displaystyle a} and b {\displaystyle b} of x, {\displaystyle x,} there exists a continuous map f: x → {\displaystyle f:x\to } such that f (a) = { 0 } {\displaystyle f(a)=\{0\}} and f (b) = { 1 }. {\displa... | wikipedia |
4542426bed61e5d7efdafa4c364c2b013f9cc35d | urysohn's lemma has led to the formulation of | urysohn's lemma has led to the formulation of other topological properties such as the 'tychonoff property' and 'completely hausdorff spaces'. for example, a corollary of the lemma is that normal t spaces are tychonoff. | wikipedia |
b5a715c7039a58dfa4fa9dfe7ab1642a124d6c41 | the sets a {\displaystyle a} and b {\displaystyle | the sets a {\displaystyle a} and b {\displaystyle b} need not be precisely separated by f {\displaystyle f}, i.e., it is not necessary and guaranteed that f (x) ≠ 0 {\displaystyle f(x)\neq 0} and ≠ 1 {\displaystyle \neq 1} for x {\displaystyle x} outside a {\displaystyle a} and b. {\displaystyle b.} a topological space... | wikipedia |
6d31cc333394f3b3f91d5c0558c2ab2dafaf96ac | a normal space is a topological space in | a normal space is a topological space in which any two disjoint closed sets can be separated by neighbourhoods. urysohn's lemma states that a topological space is normal if and only if any two disjoint closed sets can be separated by a continuous function. | wikipedia |
cd0290f983c44de97bad899e747ed0003b85c45e | it follows that if two subsets a {\displaystyle | it follows that if two subsets a {\displaystyle a} and b {\displaystyle b} are separated by a function then so are their closures. also it follows that if two subsets a {\displaystyle a} and b {\displaystyle b} are separated by a function then a {\displaystyle a} and b {\displaystyle b} are separated by neighbourhoods. | wikipedia |
11fdfdf4a2f70e8c40df3bddfd9bca3e29f5c29f | two plain subsets a {\displaystyle a} and b | two plain subsets a {\displaystyle a} and b {\displaystyle b} are said to be separated by a continuous function if there exists a continuous function f: x → {\displaystyle f:x\to } from x {\displaystyle x} into the unit interval {\displaystyle } such that f (a) = 0 {\displaystyle f(a)=0} for all a ∈ a {\displaystyle a\... | wikipedia |
ebfea7900dd79845176ed4fe96e1da70e0279d27 | two subsets a {\displaystyle a} and b {\displaystyle | two subsets a {\displaystyle a} and b {\displaystyle b} of a topological space x {\displaystyle x} are said to be separated by neighbourhoods if there are neighbourhoods u {\displaystyle u} of a {\displaystyle a} and v {\displaystyle v} of b {\displaystyle b} that are disjoint. in particular a {\displaystyle a} and b {... | wikipedia |
7cef6a2cda406b4dc0e4be66c5c7835c87d7a65d | urysohn's lemma is commonly used to construct continuous | urysohn's lemma is commonly used to construct continuous functions with various properties on normal spaces. it is widely applicable since all metric spaces and all compact hausdorff spaces are normal. the lemma is generalised by (and usually used in the proof of) the tietze extension theorem. | wikipedia |
69755a1dda6d0e768c32e1266aa45d3e6570ca72 | harold frederick loomis was an american botanist and | harold frederick loomis was an american botanist and myriapodologist known for his contributions to agronomy, plant pathology, and millipede taxonomy. he worked for the u.s. department of agriculture for over four decades, studying diseases of crop plants, and was a colleague of orator f. cook. he also made major contr... | wikipedia |
15d0bea9ba0eeebfe24ed5a5663ecf4624a2ccbe | loomis's specialty was in the millipedes of central | loomis's specialty was in the millipedes of central america and the caribbean, and over his career he named more than 500 species, at least 127 new genera, 2 new subfamilies, and 9 new families, including messicobolidae, tingupidae, and tridontomidae, with only a few taxa named with co-authors. he produced 64 scientifi... | wikipedia |
8093014cbdb46a8a3b645f57f044e46795c2541a | his other area of research was in arthropods. | his other area of research was in arthropods. loomis was an honorary research fellow in entomology at the smithsonian institution, and an active research collaborator with the national museum of natural history, and florida state collection of arthropods in gainesville. early in his career he began working with fellow ... | wikipedia |
2ada68c96fa310566337d16ee72aaea35fa0b262 | harold loomis was born in the mertensia neighborhood | harold loomis was born in the mertensia neighborhood of farmington, new york, in 1896. he worked for the u.s. department of agriculture from 1914 until his retirement in 1958, some 44 years, and was director of the u.s. plant introduction station at chapman field, from 1931 to 1958. he was primarily involved in the pro... | wikipedia |
fbedaea43e8f9e7cbda602d8dcfc0b04239c1dd5 | harold frederick loomis (december 23, 1896 – july | harold frederick loomis (december 23, 1896 – july 5, 1976) was an american botanist and myriapodologist known for his contributions to agronomy, plant pathology, and millipede taxonomy. he worked for the u.s. department of agriculture for over four decades, studying diseases of crop plants, and was a colleague of orato... | wikipedia |
f24878194688eb314ab48380d8d014d8ef354d5b | francis clarence mcgee was a canadian ice hockey | francis clarence mcgee was a canadian ice hockey player for the ottawa hockey club between 1903 and 1906. he played as a centre and as a rover. he was also a civil servant for the government of canada and later became a lieutenant in the canadian army. mcgee was known as "one-eyed" frank mcgee because he was blind in o... | wikipedia |
9601d0db393abea27b7a4807432780875e1ee460 | mcgee was killed in action on september 16, | mcgee was killed in action on september 16, 1916, near courcelette, france. an artillery shell landed on or beside him and he was killed instantly; his body was never recovered. he was later mentioned in dispatches for actions he performed in the late morning on the day of his death. his brother charles had died in act... | wikipedia |
1d54a3ccd010586fd0ce94955b68a4683390ca83 | mcgee was initially assigned to the 43rd regiment, | mcgee was initially assigned to the 43rd regiment, duke of cornwall's own rifles, though on november 11, 1914, he was transferred to the 21st infantry battalion and appointed a temporary lieutenant. the battalion left for england in may 1915, and after spending the summer there, it was transferred to the western front ... | wikipedia |
ee68da8a6dbad2f5daec63b5d0f5882bc26059a3 | before the first world war, mcgee and his | before the first world war, mcgee and his brother charles were members of the non-permanent active militia of canada. when canada entered the war in august 1914, both were mobilized for active duty. it is not definitively known how he was allowed to join the army given his limited vision. the medical officer who examin... | wikipedia |
29e64025661665d5db8a51a61edb475b32db6070 | mcgee is best known for being a prolific | mcgee is best known for being a prolific goal-scorer. during his career, he scored 135 goals in 45 games (including both league and challenge). only one other player, russell bowie, rivals his average of three goals per game. with 14 goals against dawson city, mcgee holds the record for the most goals ever scored in a ... | wikipedia |
45a058b35ba603d243fd29d3ae1fb6d59c6910f0 | mcgee was slightly shorter than the average canadian | mcgee was slightly shorter than the average canadian man, but he was noted for being strong relative to his size and having a physical, at times rough, style of play. frank patrick, a contemporary of mcgee, described him as: "even better than they say he was. he had everything – speed, stickhandling, scoring ability an... | wikipedia |
97162c30644c38991370716f69e67ba282a95e84 | to resolve the disputes among top-level hockey teams | to resolve the disputes among top-level hockey teams in canada, a new unified league was created in december 1905, the eastern canada amateur hockey association (ecaha), which ottawa joined. mcgee initially retired from hockey before the start of the 1906 season, but returned to the team midway through the campaign. ap... | wikipedia |
2fea19ed0e442f2d7f94ac333183ef1c9eb40d66 | despite offers to reconcile by the cahl, ottawa | despite offers to reconcile by the cahl, ottawa joined the federal amateur hockey league (fahl) for the 1904–05 season. after a brief retirement from the sport owing to his work in the government, mcgee returned, playing in six of the eight fahl games and tying marshall for best goalscorer in the league, with 17 goals.... | wikipedia |
2cd8f2e138b8eeadc04425d177956ce9cf41c8be | ottawa resigned from the cahl after four games | ottawa resigned from the cahl after four games during the 1904 season due to a dispute over a delayed game; in those four games mcgee recorded 12 goals, placing him first on the team in scoring and fifth overall in the league. during a stanley cup challenge against the toronto marlboros on february 25, 1904, he scored ... | wikipedia |
6c9c0ee89cb10ae3d19fe78fbf5d590e29be36c1 | in 1903, mcgee decided to return to the | in 1903, mcgee decided to return to the sport, despite risking injury to his one good eye. highly sought after, he joined the ottawa hockey club (also known as the silver seven) of the senior canadian amateur hockey league (cahl). he was the youngest member of the team and at a height of 5 ft 6 in (1.68 m), was small f... | wikipedia |
ff5d2ba6945f95b73d058d03899286f6defb1ffb | mcgee first earned recognition for his hockey ability | mcgee first earned recognition for his hockey ability during the 1899–1900 season. during this time he played for two teams: the ottawa aberdeens, who won the quebec intermediate championship; and the ottawa canadian pacific railway (cpr) team, who won the canadian railway hockey union championship. on march 21, 1900, ... | wikipedia |
1c8ed6aff1f0a053b5c8300bc30090bcce4eddce | after finishing his schooling in ottawa, mcgee joined | after finishing his schooling in ottawa, mcgee joined the canadian government's department of indian affairs. he later assumed a role in the department of the interior. in 1904, his promotion within the department led him to briefly retire from ice hockey. historian paul kitchen has suggested that mcgee's rise in the c... | wikipedia |
896b2d995ce165b1e04f81ae5e062ebb2a3589a1 | mcgee was born on november 4, 1882, in | mcgee was born on november 4, 1882, in ottawa, ontario. he was one of nine children born to john joseph mcgee and elizabeth helen (née crotty) mcgee. he came from a prominent canadian family. his father was clerk of the privy council, canada's most senior civil servant. his uncle, thomas d'arcy mcgee, attended two of t... | wikipedia |
ad04a6533f43407756408b49d034b6e0b43c3699 | after his hockey career ended, mcgee worked for | after his hockey career ended, mcgee worked for the department of indian affairs in the canadian federal government. during the first world war, he enlisted in the canadian expeditionary force and died in battle in france in 1916. when the hockey hall of fame was founded in 1945, mcgee was in the first class of inducte... | wikipedia |
dfc9b2ea1dfbbd03397785863d8bd584f2698b80 | mcgee was known as " one-eyed " frank | mcgee was known as " one-eyed " frank mcgee because he was blind in one eye due to a hockey injury. after missing two years of play because of the injury, he joined the senior ottawa team in 1903. a well-known player of his era for his prolific scoring, mcgee once scored 14 goals in a stanley cup game and scored five g... | wikipedia |
5085fca368c1180b1682f40ad7eef9ec49bdfe17 | francis clarence mcgee (november 4, 1882 – september | francis clarence mcgee (november 4, 1882 – september 16, 1916) was a canadian ice hockey player for the ottawa hockey club (also known as the silver seven) between 1903 and 1906. he played as a centre and as a rover. he was also a civil servant for the government of canada and later became a lieutenant in the canadian ... | wikipedia |
4598b0463fbb9d57b2fa717a629c44389fe3167b | murray mcelwain roy baron is a canadian former | murray mcelwain roy baron is a canadian former professional ice hockey defenceman who played 15 seasons in the national hockey league (nhl) for the philadelphia flyers, st. louis blues, montreal canadiens, phoenix coyotes, and vancouver canucks. | wikipedia |
b02a67051da299a07113a29ee5795ec1138c548e | with time running out in his career the | with time running out in his career the 37-year old blue liner signed a one-year deal to return to the st. louis blues. baron scored one goal and added five assists in 80-games and retired from the nhl following the season. | wikipedia |
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