id stringlengths 40 40 | title stringlengths 15 120 | text stringlengths 41 3.14k | source stringclasses 2
values |
|---|---|---|---|
23db0c176b6be490539d204f255d7ef7e2dff117 | reverend charles pritchard was a british astronomer, clergyman, | reverend charles pritchard was a british astronomer, clergyman, and educational reformer. he founded the clapham grammar school in 1834 and included sciences in the curriculum. a chapel was erected in 1846. | wikipedia |
1e506916f4541d435eeaf7a13be9cc1202bcbade | when an international survey of the heavens was | when an international survey of the heavens was proposed, the zone between 25° and 31° north declination was allotted to him, and at the time of his death some progress had been made in recording its included stars. pritchard became a fellow of new college, oxford, in 1883, and an honorary fellow of st john's college, ... | wikipedia |
34b507aa58b5d52dea59d1d08f1978e6ca49c663 | he then decided to experiment with applying photography | he then decided to experiment with applying photography to the determination of stellar parallax. with the object of testing the capabilities of the method, he took for his first essay the well-known star 61 cygni, and his results agreed so well with those previously attained that he undertook the systematic measuremen... | wikipedia |
bdff1ac333e183f219678235952e7e963ed727a0 | in 1882 pritchard commenced a systematic study of | in 1882 pritchard commenced a systematic study of stellar photometry. for this purpose he employed an instrument known as the " wedge photometer ", with which he measured the relative brightness of 2,784 stars between the north pole and about -10° declination. the results were published in 1885 in his uranometria nova ... | wikipedia |
c5c022d3c4cd024b641d6d9a6ea0afae0c0b3b0c | his career as a professional astronomer began in | his career as a professional astronomer began in 1870, when he was elected savilian professor of astronomy at the university of oxford. at his request the university decided to build a fine equatorial telescope for the instruction of his class and for purposes of research, a scheme which, as a result of warren de la ru... | wikipedia |
63a723694d00b093ad184e469d578cc303f423b7 | he was born at alberbury, shropshire, fourth son | he was born at alberbury, shropshire, fourth son of william pritchard, a failed manufacturer who later moved to london where he attended the merchant taylor's school and poplar academy where he was taught by john stock, the progressive educationalist. pritchard later described his studies as consisting of "a systematic... | wikipedia |
0a474cc7df83be90f6d7cc220745b8466b7f07f2 | reverend charles pritchard (29 february 1808 – 28 | reverend charles pritchard (29 february 1808 – 28 may 1893) was a british astronomer, clergyman, and educational reformer. he founded the clapham grammar school in 1834 and included sciences in the curriculum. a chapel was erected in 1846. | wikipedia |
273603f27a95872f8373178b799bf28791703d29 | the hampden bridge was a heritage-listed wooden allan | the hampden bridge was a heritage-listed wooden allan truss bridge over the murrumbidgee river in wagga wagga, australia. it was officially opened to traffic on 11 november 1895 and named in honour of the nsw governor sir henry robert brand, 2nd viscount hampden. the bridge carried the olympic highway, formerly the oly... | wikipedia |
afdca2b889676285ea7057fa9c11f7f16ecbe725 | in march 2012 the wagga wagga city council | in march 2012 the wagga wagga city council voted to dismantle the hampden bridge. a tender was awarded to southern cross demolition, in february 2013 for the complete demolition of the bridge. in april 2014 the council received planning approval for the demolition of the bridge except for the bridge's pylons, and demol... | wikipedia |
8bea5e7583c2e9ed933fff1fb317ff4febe74f28 | by november 2007, councillors attend a number of | by november 2007, councillors attend a number of workshops on estimated costs of rehabilitation and demolition. the cost of rehabilitation was estimated to be $1.5 million and demolition $1.6 million. on 27 february 2008, the wagga wagga city council approved $300,000 to make the bridge structurally safe. during august... | wikipedia |
667bdbcd7f3df2d407aaaaddfd19cd74b78560fa | on 16 august 2006 the hampden bridge was | on 16 august 2006 the hampden bridge was closed to pedestrians indefinitely after the wagga wagga city council found that the bridge deck had dropped 50 centimetres (20 in) after one of the trusses failed. a safety report by the roads & traffic authority stated that the bridge could fall down any day due to it being in... | wikipedia |
f86abac19025d49d5d6bdab5a3dad6f5b3dc579b | the roads & traffic authority handed over the | the roads & traffic authority handed over the hampden bridge to the wagga wagga city council after the bridge was closed to traffic in october 1995. the local historic landmark remained open to pedestrians as a route between the suburb of north wagga wagga and the city centre until its closure in 2006. in 2012, wagga w... | wikipedia |
5f9b9e84706227f408e6ddbc4d083f14d7b8768e | the hampden bridge was 330 feet (100.6 m) | the hampden bridge was 330 feet (100.6 m) long with each of the three truss spans 110 feet (33.5 m) long. hampden bridge was the first large overhead-braced truss bridge designed by percy allan. the bridge was originally designed to be a steel-built bridge; however, the tenders were too expensive so timber was used as ... | wikipedia |
c41775d8318d87ea7bf3c1b3f673ba378ce912b9 | the hampden bridge was a heritage -listed wooden | the hampden bridge was a heritage -listed wooden allan truss bridge over the murrumbidgee river in wagga wagga, australia. it was officially opened to traffic on 11 november 1895 and named in honour of the nsw governor sir henry robert brand, 2nd viscount hampden. the bridge carried the olympic highway, formerly the ol... | wikipedia |
45241979ac0d19e7f1d4cb9ee318bfcdb6a514df | the chacahoula swamp bridge is a twin concrete | the chacahoula swamp bridge is a twin concrete trestle bridge in the u.s. state of louisiana. with a total length of 29,544 ft (9,005 m), it is one of the longest bridges in the world. the bridge carries us 90 over the chacahoula swamp in louisiana the bridge was opened in 1995. | wikipedia |
332220552f8287fe5322e0e278dabca72fc3324f | the chacahoula swamp bridge is a twin concrete | the chacahoula swamp bridge is a twin concrete trestle bridge in the u.s. state of louisiana. with a total length of 29,544 ft (9,005 m), it is one of the longest bridges in the world. the bridge carries us 90 over the chacahoula swamp in louisiana the bridge was opened in 1995. | wikipedia |
9d9c3c3464e282065183c698550ce2d7b97a5e17 | curtis jon giles is a canadian former professional | curtis jon giles is a canadian former professional ice hockey defenceman. selected by the minnesota north stars in the 1978 nhl entry draft, giles had two tenures with the north stars. during each, his steady defensive play helped guide the north stars to appearances in the 1981 and 1991 stanley cup finals. giles also ... | wikipedia |
ca67b7b7e3770e719ff1d7189f7fd1176ef5293c | he had a portion of his left ring | he had a portion of his left ring finger amputated on march 24, 1986 in order to compete in the 1986 stanley cup playoffs. the finger had a tumor in the bone and forced him to miss the end of the 1985-86 regular-season. | wikipedia |
c31c3319363f400b5a6fcd5d571b57d18d16ad81 | selected by the minnesota north stars in the | selected by the minnesota north stars in the 1978 nhl entry draft, giles had two tenures with the north stars (1979 – 86 and 1987 – 91). during each, his steady defensive play helped guide the north stars to appearances in the 1981 and 1991 stanley cup finals. giles also played for the new york rangers and st. louis bl... | wikipedia |
afb537b41e9b5a668e1f0e7183ec6f2b546fe4ed | curls run rises in upper makefield township, just | curls run rises in upper makefield township, just east of pineville, starting out northeast, then turns to the north flowing through an unnamed pond, passing into buckingham township, then flowing to the northeast until it meets its confluence at pidcock creek's 3.21 river mile in solebury township. | wikipedia |
8554aeeb581900ac1c8a35e5b62b16c6b9f01c9c | curls run was named for thomas kirl, an | curls run was named for thomas kirl, an early landowner in buckingham township, bucks county, pennsylvania, in the united states, whose land was later purchased by robert smith in 1723. other landowners along the creek were harry trego, earl daniels, john hogan, harvey r. smith, william e. smith, charles r. wentz, char... | wikipedia |
fe0814cb8efc4a96733f375bf71e533e5c776925 | cremers' publications cover security, cryptography, iso standards, automated | cremers' publications cover security, cryptography, iso standards, automated verification of security protocols, and formal methods. his thesis was entitled "scyther - semantics and verification of security protocols", and was supervised by sjouke mauw and erik de vink. also published with sjouke mauw is their book ope... | wikipedia |
b6b8e37f10a60dbf95fe61b2fa57724af0449631 | cremers previously worked in msx computer game development, | cremers previously worked in msx computer game development, initially working for the sigma group before founding his own group parallax; he is credited for work on nine different games, and many other demos, in a combination of roles including programmer, designer, composer, and writer. he was interviewed by blog "dis... | wikipedia |
6f6a77849ecc5526a638e0589d8e9887b87bc072 | cremers received his phd from eindhoven university of | cremers received his phd from eindhoven university of technology in 2006, under the supervision of sjouke mauw and erik de vink. between 2006 and 2013, he worked at the information security group at eth zurich, switzerland, until joining the university of oxford in 2013. he was made full professor of information securi... | wikipedia |
5ed4f29b8c28568d8311851a797695e8de0f5d36 | the continental o-170 engine is the collective military | the continental o-170 engine is the collective military designation for a family of small aircraft engines, known under the company designation of a50, a65, a75 and a80. the line was designed and built by continental motors commencing in the 1940s. it was employed as the powerplant for civil and military light aircraft... | wikipedia |
147d9d6c983e3ec698993df427fada3bb6591a04 | lubricating oil is delivered under pressure from the | lubricating oil is delivered under pressure from the 4 us qt (3.79 l) oil sump to the drive bearings and the crankpins through the crankshaft. the cylinder walls and pistons are spray lubricated. normal operating oil pressure is 35 psi, with minimum idle oil pressure 10 psi. | wikipedia |
f2eba244d3eb4799f36284b3c5f377012c6019cb | in all models of this family of engines | in all models of this family of engines the cylinder heads are of aluminum alloy, screwed and shrunk onto steel barrels. spark plug inserts and intake valve seats are made from aluminum- bronze alloy, while the exhaust valve seats are steel. the engines all employ hydraulic tappets which operate in aluminum guides that... | wikipedia |
05415fb0a0909a3c1eada94101ab4918be8e629c | the horizontally opposed, four-cylinder engines in this family | the horizontally opposed, four-cylinder engines in this family are all identical in appearance, bore, stroke, dry weight, and piston displacement. all feature a bottom-mounted updraft carburetor fuel delivery system. the higher power variants differ only in compression ratio and maximum allowable rpm, plus minor modifi... | wikipedia |
b3b1fb99d6c0a9a68908c76dae034d0d562bc3bb | the continental o-170 engine is the collective military | the continental o-170 engine is the collective military designation for a family of small aircraft engines, known under the company designation of a50, a65, a75 and a80. the line was designed and built by continental motors commencing in the 1940s. it was employed as the powerplant for civil and military light aircraft... | wikipedia |
1989f9b9ca41bfa2054baa0083ea79a0c04248df | in arithmetic geometry, the cox–zucker machine is an | in arithmetic geometry, the cox–zucker machine is an algorithm created by david a. cox and steven zucker. this algorithm determines whether a given set of sections provides a basis for the mordell–weil group of an elliptic surface e → s, where s is isomorphic to the projective line. the algorithm was first published in... | wikipedia |
64f97f2a7658e261c70b69c5c9b0dec6a257e3db | the name sounds similar to the obscenity " | the name sounds similar to the obscenity " cocksucker ". this was a deliberate choice by cox and zucker, who, as first-year graduate students at princeton university in 1970, conceived of the idea of coauthoring a paper for the express purpose of enabling this joke. they followed through on it five years later, as memb... | wikipedia |
2c13883a43c83e9dcaeb046c5fcca9564c49b150 | in arithmetic geometry, the cox–zucker machine is an | in arithmetic geometry, the cox–zucker machine is an algorithm created by david a. cox and steven zucker. this algorithm determines whether a given set of sections provides a basis (up to torsion) for the mordell–weil group of an elliptic surface e → s, where s is isomorphic to the projective line. | wikipedia |
49747f9ff97969b57c70b431ea1dcb8a5c12ff92 | in mathematics, a topological space (x, t) is | in mathematics, a topological space (x, t) is called completely uniformizable (or dieudonné complete) if there exists at least one complete uniformity that induces the topology t. some authors additionally require x to be hausdorff. some authors have called these spaces topologically complete, although that term has al... | wikipedia |
49747f9ff97969b57c70b431ea1dcb8a5c12ff92 | in mathematics, a topological space (x, t) is | in mathematics, a topological space (x, t) is called completely uniformizable (or dieudonné complete) if there exists at least one complete uniformity that induces the topology t. some authors additionally require x to be hausdorff. some authors have called these spaces topologically complete, although that term has al... | wikipedia |
20dab43e0c7dd85dda8009ea4578f87d46cea76a | chishui is a mountainous town and one of | chishui is a mountainous town and one of eleven fourth-order administrative divisions under the jurisdiction of northwest dehua county, quanzhou, fujian, china, located 33 kilometres from the county seat and home to a species of apanteles (apanteles opacus). chishui has jiuxian mountain in its administrative town bound... | wikipedia |
dc4bd368f7dcbaf1f036e35a2f5d227c5158f12a | the town has 12,038 mu (8.03 km) of | the town has 12,038 mu (8.03 km) of arable land and at least 18 more attractions other than the two mountains mentioned above. as of 2020, it administers chishui residential community and the following fourteen villages: | wikipedia |
5cd3426421ee38aba06e68f70a34ca3966b37460 | chishui has jiuxian mountain in its administrative town | chishui has jiuxian mountain in its administrative town boundaries. daiyun mountain (also known as yingxue mountain) is another mountain in daiyun, a village administered under chishui. daiyun mountain is 1856 metres tall, takes up 35 km, and is heavily vegetated, protected and trailed. it is known as 'the ridge of mid... | wikipedia |
db15aef6bf079c0b56bd5113445449a6e22ab57a | chishui (chinese: 赤水; pinyin: chìshuǐ) is a mountainous | chishui (chinese: 赤水; pinyin: chìshuǐ) is a mountainous town and one of eleven fourth-order administrative divisions under the jurisdiction of northwest dehua county, quanzhou, fujian, china, located 33 kilometres from the county seat and home to a species of apanteles (apanteles opacus). | wikipedia |
020365cf9a02a66c5cca3dcda6d9d898f38fd8bb | connected-component labeling (ccl), connected-component analysis (cca), blob extraction, | connected-component labeling (ccl), connected-component analysis (cca), blob extraction, region labeling, blob discovery, or region extraction is an algorithmic application of graph theory, where subsets of connected components are uniquely labeled based on a given heuristic. connected-component labeling is not to be c... | wikipedia |
65ec3cc0c828fb796366eb1674a7e5453b702fd5 | the emergence of fpgas with enough capacity to | the emergence of fpgas with enough capacity to perform complex image processing tasks also led to high-performance architectures for connected-component labeling. most of these architectures utilize the single pass variant of this algorithm, because of the limited memory resources available on an fpga. these types of c... | wikipedia |
d526edafa4713f31e4cbd10cd9fb2d0ecba52c2d | in the last two decades many novel approaches | in the last two decades many novel approaches to connected-component labeling have been proposed, but almost none of them have been subjected to a comparative performance assessment using the same data set. yacclab (acronym for yet another connected components labeling benchmark) is an example of c++ open source framew... | wikipedia |
b50dde940117559810f30da4d9832828d54b1260 | the run time of the algorithm depends on | the run time of the algorithm depends on the size of the image and the amount of foreground. the time complexity is comparable to the two pass algorithm if the foreground covers a significant part of the image. otherwise the time complexity is lower. however, memory access is less structured than for the two-pass algor... | wikipedia |
a12d123f299c5530627025e32ca9d8da6510ce1d | we first assign different binary values to elements | we first assign different binary values to elements in the graph. the values "0~1" at the center of each of the elements in the following graph are the elements' values, whereas the "1,2,...,7" values in the next two graphs are the elements' labels. the two concepts should not be confused. | wikipedia |
6de56cde216bb896c240c62bb7550754df2d2739 | the algorithm continues this way, and creates new | the algorithm continues this way, and creates new region labels whenever necessary. the key to a fast algorithm, however, is how this merging is done. this algorithm uses the union-find data structure which provides excellent performance for keeping track of equivalence relationships. union-find essentially stores labe... | wikipedia |
c1cd712790e132236a9080f6eab5867c7ebe605e | connectivity checks are carried out by checking neighbor | connectivity checks are carried out by checking neighbor pixels' labels (neighbor elements whose labels are not assigned yet are ignored), or say, the north-east, the north, the north-west and the west of the current pixel (assuming 8-connectivity). 4-connectivity uses only north and west neighbors of the current pixel... | wikipedia |
ab7e263d866e992fbb7e122a8a11aca5a9ad9352 | relatively simple to implement and understand, the two-pass | relatively simple to implement and understand, the two-pass algorithm, (also known as the hoshen–kopelman algorithm) iterates through 2-dimensional binary data. the algorithm makes two passes over the image: the first pass to assign temporary labels and record equivalences, and the second pass to replace each temporary... | wikipedia |
f9e2711cf6f683ca46eed54a6de8c07a27730c88 | note that the pixels are labelled before being | note that the pixels are labelled before being put into the queue. the queue will only keep a pixel to check its neighbours and add them to the queue if necessary. this algorithm only needs to check the neighbours of each foreground pixel once and doesn't check the neighbours of background pixels. | wikipedia |
f4035b08c9a627ae7ce1ff9a3ffc6afac86eb0e7 | in order to do that a linked list | in order to do that a linked list is formed that will keep the indexes of the pixels that are connected to each other, steps (2) and (3) below. the method of defining the linked list specifies the use of a depth or a breadth first search. for this particular application, there is no difference which strategy to use. th... | wikipedia |
26b0656c2e09e48c3f91304e3d499804f821c9f4 | this is a fast and very simple method | this is a fast and very simple method to implement and understand. it is based on graph traversal methods in graph theory. in short, once the first pixel of a connected component is found, all the connected pixels of that connected component are labelled before going onto the next pixel in the image. this algorithm is ... | wikipedia |
cd0215a05c65798025e48e389f19cf21faac9f53 | there is no consensus on the definition of | there is no consensus on the definition of cca in the academic literature. it is often used interchangeably with ccl. a more extensive definition is given by shapiro et al.: “connected component analysis consists of connected component labeling of the black pixels followed by property measurement of the component regio... | wikipedia |
15eee45a9d9345ae2784d925befd590001d2396d | rosenfeld et al. define connected components labeling as | rosenfeld et al. define connected components labeling as the “reation of a labeled image in which the positions associated with the same connected component of the binary input image have a unique label.” shapiro et al. define ccl as an operator whose “input is a binary image and output is a symbolic image in which the... | wikipedia |
e016867e807dbd72286c7682813f304a51fe0883 | a graph, containing vertices and connecting edges, is | a graph, containing vertices and connecting edges, is constructed from relevant input data. the vertices contain information required by the comparison heuristic, while the edges indicate connected 'neighbors'. an algorithm traverses the graph, labeling the vertices based on the connectivity and relative values of thei... | wikipedia |
9adb95e90a55f9a816857263d60b3dda53689200 | connected-component labeling is used in computer vision to | connected-component labeling is used in computer vision to detect connected regions in binary digital images, although color images and data with higher dimensionality can also be processed. when integrated into an image recognition system or human-computer interaction interface, connected component labeling can operat... | wikipedia |
0339791cabc0af6ffa30badd77018186f9bef5b8 | connected-component labeling (ccl), connected-component analysis (cca), blob extraction, | connected-component labeling (ccl), connected-component analysis (cca), blob extraction, region labeling, blob discovery, or region extraction is an algorithmic application of graph theory, where subsets of connected components are uniquely labeled based on a given heuristic. connected-component labeling is not to be c... | wikipedia |
311c7a4a6c47d75a2d5cd2b7bb12e1b278e98628 | on 31 march 2019, prunty was introduced as | on 31 march 2019, prunty was introduced as a substitute for calum lyons at full-back when waterford suffered a 1–24 to 0–19 defeat by limerick in the national league final. he made his first appearance in the munster championship on 12 may when he lined out at full-back in a 1–20 to 0–22 defeat by clare. | wikipedia |
355965f2d4707bc952a20011ba241c44eba81927 | on 11 march 2018, prunty made his first | on 11 march 2018, prunty made his first appearance in the national league when he came on as a 54th-minute substitute for mark o'brien in a 1–23 to 1–20 defeat of clare. he was retained as a member of the panel for the subsequent munster championship. | wikipedia |
f8563afce27da2aebe8641483bd05d7a1155dd9c | prunty was added to the waterford senior team | prunty was added to the waterford senior team prior to the start of the pre-season munster league in 2017. he made his first appearance on 8 january, lining out at left wing-back in a 0–24 to 1–14 defeat by limerick. prunty remained as a member of the extended panel for the rest of the season which culminated on 3 sept... | wikipedia |
57ddd07466b593daadfaac9dfcd3a46327ee7a7f | prunty was again eligible for the under-21 team | prunty was again eligible for the under-21 team for the 2018 munster championship. lining out in his third and final season in the grade, he made his only appearance on 20 june in a second successive 0–23 to 1–17 defeat by cork. | wikipedia |
b8a7ae5d6c6f3ae668e6ee2e65a23c3d105df256 | prunty ended his dual player status and committed | prunty ended his dual player status and committed solely to hurling for the 2017 munster championship. he made his only appearance on 13 july in a 2–17 to 1–19 defeat by cork at the semi-final stage. | wikipedia |
3aa77162f88626cf8dfba32e6a98547f1b95fdcc | prunty retained his dual status as a member | prunty retained his dual status as a member of both of waterford's under-21 teams during the 2016 munster championships. he made his first appearance for the under-21 football team on 16 march when he lined out at midfield in a 3–18 to 0–02 defeat by cork. prunty enjoyed a more successful debut with the under-21 hurlin... | wikipedia |
0cc6789aed8ba2524aa459b8a3f3cf04c097e5bd | prunty first lined out for waterford as a | prunty first lined out for waterford as a dual player during the 2014 munster championships. he made his first appearance for the waterford minor hurling team on 9 april when he lined out at right wing-back in a 1–13 to 0–11 defeat of clare. prunty made his debut with the waterford minor football team a week later in a... | wikipedia |
8a7213b27c079b0e8d6c9b2ea87611c8ca9f5296 | on 7 october 2018, prunty lined out for | on 7 october 2018, prunty lined out for abbeyside against ballygunner in the waterford championship final. selected at right wing-back, he spent much of the game at midfield as abbeyside suffered a 2–19 to 0–13 defeat. | wikipedia |
ab77ff8bbc26897aab5a999c1c9cc01fd392ecc1 | prunty lined out in a second successive waterford | prunty lined out in a second successive waterford football championship final on 6 november 2016. he was once again at midfield, however, the nire claimed the title following a 1–17 to 0–08 victory. | wikipedia |
58cc212cec1fa0217f4b04fc5d802aa5969bd3ae | on 6 november 2015, prunty was at midfield | on 6 november 2015, prunty was at midfield when ballinacourty faced stradbally in the waterford football championship final. he ended the game as a runners-up following an 0–08 to 0–06 defeat. | wikipedia |
96adc1a7363689ec78def4c01774e5bf2b3e316d | prunty joined the abbeyside–ballinacourty club at a young | prunty joined the abbeyside–ballinacourty club at a young age and played in all grades at juvenile and underage levels. he made his first appearance for the club's senior teams during the 2014 waterford championship. | wikipedia |
35ce4b7d7dcf92d269a9bfc3eb57a112c603a0fb | during his studies at the cork institute of | during his studies at the cork institute of technology, prunty was heavily involved in hurling. on 3 march 2016, he was at centre-back when cit defeated dublin city university by 1–13 to 0–13 to win the all-ireland division 1 freshers final. | wikipedia |
f3ae84baeb3ef4700a65e15e6ba07b1e1dae6867 | prunty first came to prominence as a hurler | prunty first came to prominence as a hurler and gaelic footballer with st. augustine's college in dungarvan. he played in every grade before eventually joining the college's senior teams. on 30 march 2013, prunty was at full-forward when st. augustine's college faced scoil mhuire in the all-ireland final. he scored a p... | wikipedia |
94520320006c3e9dc58b1d0dbecede87e2fd71b9 | conor prunty (born 9 january 1997) is an | conor prunty (born 9 january 1997) is an irish hurler who plays for waterford senior championship club abbeyside and at inter-county level with the waterford senior hurling team. he usually lines out as a full-back. | wikipedia |
fdd1e5bd367f6f07ebddd5e3e411bad2d9f4f391 | city hill is a park located in canberra, | city hill is a park located in canberra, australia, on one of the points of the parliamentary triangle, a feature of walter burley griffin's plan for the city. the park is surrounded by vernon circle, at the south end of northbourne avenue, but beyond vernon circle it is further surrounded by the concentric london circ... | wikipedia |
bd973b14d7c6bbe05c095e32b04b6119b9159a65 | the park is centrally located and well-known, but | the park is centrally located and well-known, but it is underutilised as it is away from shops and public areas and is difficult to access because it is surrounded by a major road. the prominent flagpole at the centre of vernon circle is not actually at the highest point of city hill. the highest point of city hill is ... | wikipedia |
cb1dcdb529b0a58e48b73ab04a73c8808bb041ca | the hill was planted in 1921. the design, | the hill was planted in 1921. the design, supervised by charles weston, canberra's first superintendent of parks and gardens, was to emphasise the vistas along the six avenues radiating from the hill and reinforce the focus that griffin placed on the hill as forming part of the parliamentary triangle. at the centre of ... | wikipedia |
4b0367e3de289f7271305e380a4f737da14ab232 | city hill is a park located in canberra, | city hill is a park located in canberra, australia, on one of the points of the parliamentary triangle, a feature of walter burley griffin 's plan for the city. the park is surrounded by vernon circle, at the south end of northbourne avenue, but beyond vernon circle it is further surrounded by the concentric london cir... | wikipedia |
d6bb291814b2981c35d4ee05ff0e6efe1a5396c9 | chethika gunasiri is a sri lankan environmental scientist | chethika gunasiri is a sri lankan environmental scientist and researcher. she is well known for her sustainability related efforts especially related to colombo wetland management strategy. she has often spoken about the importance of wetlands for a sustainable colombo and she has raised awareness among public about th... | wikipedia |
9a858a4ba44a33ed1e6b3dc3790334b03431b494 | she was invited as a guest speaker in | she was invited as a guest speaker in january 2023 to deliver wildlife and nature protection society (wnps) lecture under the theme of "living in the only wetland capital in the world" at the bandaranaike memorial international conference hall. | wikipedia |
93a4f8d239d3a5f628c92ba8c5f2d05139d0f6ec | she also served in various other capacities including | she also served in various other capacities including south asia regional representative of the wetland link international -asia steering committee, member of the institute of environmental professionals sri lanka (iepsl), and as an assistant secretary and a council member of the same organisation. | wikipedia |
fea7f2ba8cc3f80ca0f941a661c61ad38060dfc5 | she also currently serving as an environmental scientist | she also currently serving as an environmental scientist at the sri lanka land development corporation. she also prominently works to address concerns related to restoration, management and wise use of urban wetlands to comply with sustainable city development. she has attained over a decade of experience in the field ... | wikipedia |
3d09f9be1f1800e43c9a60af4e5f9bb05e170a69 | she completed her ph.d. in the field of | she completed her ph.d. in the field of sustainability science at the united nations university in japan. she also pursued her master's degree in science in the field of earth science from the chinese culture university in taiwan. she also completed her mba from the university of sri jayewardenepura and also obtained h... | wikipedia |
d6bb291814b2981c35d4ee05ff0e6efe1a5396c9 | chethika gunasiri is a sri lankan environmental scientist | chethika gunasiri is a sri lankan environmental scientist and researcher. she is well known for her sustainability related efforts especially related to colombo wetland management strategy. she has often spoken about the importance of wetlands for a sustainable colombo and she has raised awareness among public about th... | wikipedia |
4813813982002646b32c071f0b17d425cb2968a9 | as of 2007 miller was a lead analyst | as of 2007 miller was a lead analyst at independent security evaluators, a computer protection consultancy. he has publicly demonstrated many security exploits of apple products. in 2008, he won a $10,000 cash prize at the hacker conference pwn2own in vancouver, british columbia, canada for being the first to find a cr... | wikipedia |
727337bfe13ae0f6617bdf53c19cecfc6ea7eecb | miller holds a bachelor's degree in mathematics with | miller holds a bachelor's degree in mathematics with a minor in philosophy from the then called northeast missouri state, and a ph.d. in mathematics from the university of notre dame in 2000. he lives in wildwood, missouri. | wikipedia |
4000e1a89e3b5af6e2707a15d65250c64a36aaf1 | cauchy's functional equation is the functional equation: a | cauchy's functional equation is the functional equation: a function f that solves this equation is called an additive function. over the rational numbers, it can be shown using elementary algebra that there is a single family of solutions, namely f : x ↦ c x for any rational constant c . over the real numbers, the fami... | wikipedia |
9a118b9d72f229ae44cba10fb0d7235a7ed85a22 | it is easy to check that f {\displaystyle | it is easy to check that f {\displaystyle f} is a solution to cauchy's functional equation given a definition of f {\displaystyle f} on the basis elements, f: b → r. {\displaystyle f\colon {\mathcal {b}}\to \mathbb {r}.} moreover, it is clear that every solution is of this form. in particular, the solutions of the func... | wikipedia |
369b0b905185e707ab84cef8e39c722aa56b54ae | as argued above, the restriction of f {\displaystyle | as argued above, the restriction of f {\displaystyle f} to x i q {\displaystyle x_{i}\mathbb {q} } must be a linear map for each x i ∈ b. {\displaystyle x_{i}\in {\mathcal {b}}.} moreover, because x i q ↦ f (x i) q {\displaystyle x_{i}q\mapsto f(x_{i})q} for q ∈ q, {\displaystyle q\in \mathbb {q},} it is clear that f (... | wikipedia |
88a1ec7028e775c9ca07ad13f62cf9e9113bf031 | to show that solutions other than the ones | to show that solutions other than the ones defined by f (x) = f (1) x {\displaystyle f(x)=f(1)x} exist, we first note that because every vector space has a basis, there is a basis for r {\displaystyle \mathbb {r} } over the field q, {\displaystyle \mathbb {q},} i.e. a set b ⊂ r {\displaystyle {\mathcal {b}}\subset \mat... | wikipedia |
f79c0ab046422d004ddbe463c6ab8d2f68fb5e7d | the linearity proof given above also applies to | the linearity proof given above also applies to f: α q → r, {\displaystyle f\colon \alpha \mathbb {q} \to \mathbb {r},} where α q {\displaystyle \alpha \mathbb {q} } is a scaled copy of the rationals. this shows that only linear solutions are permitted when the domain of f {\displaystyle f} is restricted to such sets. ... | wikipedia |
76bc2d33426ae48d144cef31f412dae327e64059 | thus, the graph of f {\displaystyle f} contains | thus, the graph of f {\displaystyle f} contains l ∩ ((0, 1) × r) {\displaystyle l\cap ((0,1)\times \mathbb {r})}, which is dense in (0, 1) × r {\displaystyle (0,1)\times \mathbb {r} }. | wikipedia |
231443433122efedf4ff5ea88b275bebb2a475ea | if r 1 ≥ 0, r 2 < | if r 1 ≥ 0, r 2 < 0 {\displaystyle r_{1}\geq 0,r_{2}<0}, then since r 1 + r 2 a > 0 {\displaystyle r_{1}+r_{2}a>0}, we have r 1 > 0 {\displaystyle r_{1}>0}. let k {\displaystyle k} be a positive integer large enough such that r 1 k, − r 2 a k ∈ (0, 1) {\displaystyle {\frac {r_{1}}{k}},{\frac {-r_{2}a}{k}}\in (0,1)}. th... | wikipedia |
fd9e1e50d0ca76a56292ef2533f685e3221f5571 | if r 1, r 2 ≥ 0 {\displaystyle | if r 1, r 2 ≥ 0 {\displaystyle r_{1},r_{2}\geq 0}, then it is true by additivity. if r 1, r 2 < 0 {\displaystyle r_{1},r_{2}<0}, then r 1 + r 2 a < 0 {\displaystyle r_{1}+r_{2}a<0}, contradiction. | wikipedia |
6c0c0bd4769f03b96432275e265e6fe2c704f7b2 | claim: if r 1, r 2 ∈ q | claim: if r 1, r 2 ∈ q {\displaystyle r_{1},r_{2}\in \mathbb {q} }, and r 1 + r 2 a ∈ (0, 1) {\displaystyle r_{1}+r_{2}a\in (0,1)}, then f (r 1 + r 2 a) = r 1 + r 2 f (a) {\displaystyle f(r_{1}+r_{2}a)=r_{1}+r_{2}f(a)}. | wikipedia |
73750be832fd16d13ffea3e3d4d8d5e6a4a871ed | since det a = f (a) − a | since det a = f (a) − a ≠ 0 {\displaystyle \det a=f(a)-a\neq 0}, the transformation is invertible, thus it is bicontinuous. since q 2 {\displaystyle \mathbb {q} ^{2}} is dense in r 2 {\displaystyle \mathbb {r} ^{2}}, so is l {\displaystyle l}. ◻ {\displaystyle \square } | wikipedia |
d20247faff4a14ba775a313add18b37ac1f4ad9e | claim: the lattice defined by l:= { (r | claim: the lattice defined by l:= { (r 1 + r 2 a, r 1 + r 2 f (a)): r 1, r 2 ∈ q } {\displaystyle l:=\{(r_{1}+r_{2}a,r_{1}+r_{2}f(a)):r_{1},r_{2}\in \mathbb {q} \}} is dense in r 2 {\displaystyle \mathbb {r} ^{2}}. | wikipedia |
4d66b8f125543effc443f0bb51452aa29f762afd | since f {\displaystyle f} is not linear, we | since f {\displaystyle f} is not linear, we have f (a) ≠ a {\displaystyle f(a)\neq a} for some a ∈ (0, 1) {\displaystyle a\in (0,1)}. | wikipedia |
e8d46020c8ada2a35a6e0ccff179742902644514 | wlog, scale f {\displaystyle f} on the x-axis | wlog, scale f {\displaystyle f} on the x-axis and y-axis, so that f {\displaystyle f} satisfies the cauchy functional equation on {\displaystyle }, and f (1) = 1 {\displaystyle f(1)=1}.it suffices to show that the graph of f {\displaystyle f} is dense in (0, 1) × r {\displaystyle (0,1)\times \mathbb {r} }, which is den... | wikipedia |
8532aae7154b936d64cf0b3fd085e581ea09d659 | lemma — let t > 0 {\displaystyle t>0}. | lemma — let t > 0 {\displaystyle t>0}. if f {\displaystyle f} satisfies the cauchy functional equation on the interval {\displaystyle }, but is not linear, then its graph is dense on the strip × r {\displaystyle \times \mathbb {r} }. | wikipedia |
a0e9756d8cfe7f5a93e1be09e7000629cb6cddc2 | we prove below that any other solutions must | we prove below that any other solutions must be highly pathological functions. in particular, it is shown that any other solution must have the property that its graph { (x, f (x)) | x ∈ r } {\displaystyle \{(x,f(x))\vert x\in \mathbb {r} \}} is dense in r 2, {\displaystyle \mathbb {r} ^{2},} that is, that any disk in ... | wikipedia |
13f409c1dc88ccd1eac03ee93aca8482ce5edbb8 | finally, any q ∈ q {\displaystyle q\in \mathbb | finally, any q ∈ q {\displaystyle q\in \mathbb {q} } has a representation q = m n {\displaystyle q={\frac {m}{n}}} with m ∈ z {\displaystyle m\in \mathbb {z} } and n ∈ n {\displaystyle n\in \mathbb {n} }, so, putting things together, | wikipedia |
2cd99a97d2b3a2f1dd4899e905961881df36750a | let n ∈ n {\displaystyle n\in \mathbb {n} | let n ∈ n {\displaystyle n\in \mathbb {n} }, then f (v) = f (n n − 1 v) = n f (n − 1 v) {\displaystyle f(v)=f(nn^{-1}v)=nf(n^{-1}v)} and hence f (n − 1 v) = n − 1 f (v) {\displaystyle f(n^{-1}v)=n^{-1}f(v)}. | wikipedia |
493099a286ed952de39f57102c51e32d23091925 | for any negative integer m ∈ z {\displaystyle | for any negative integer m ∈ z {\displaystyle m\in \mathbb {z} } we know − m ∈ n {\displaystyle -m\in \mathbb {n} }, therefore f (m v) = f ((− m) (− v)) = (− m) f (− v) = (− m) (− f (v)) = m f (v) {\displaystyle f(mv)=f((-m)(-v))=(-m)f(-v)=(-m)(-f(v))=mf(v)}. thus far we have proved | wikipedia |
aef0e54a9ccd7fc68981d859b269f24637b1fa93 | via induction, f (m v) = m f | via induction, f (m v) = m f (v) {\displaystyle f(mv)=mf(v)} is proved for any m ∈ n ∪ { 0 } {\displaystyle m\in \mathbb {n} \cup \{0\}}. | wikipedia |
9dca4e250e4e6a9d9dea60b2fa9cf46fae7b257e | first note f (0) = f (0 + | first note f (0) = f (0 + 0) = f (0) + f (0) {\displaystyle f(0)=f(0+0)=f(0)+f(0)}, hence f (0) = 0 {\displaystyle f(0)=0}, and therewith 0 = f (0) = f (v + (− v)) = f (v) + f (− v) {\displaystyle 0=f(0)=f(v+(-v))=f(v)+f(-v)} from which follows f (− v) = − f (v) {\displaystyle f(-v)=-f(v)}. | wikipedia |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.