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id stringlengths 40 40	title stringlengths 15 120	text stringlengths 41 3.14k	source stringclasses 2 values
030e573f145fd7d1c8dc1309f3ef4aaed0683191	the first denison bridge was a three span	the first denison bridge was a three span laminated bow-string arch british type bridge commenced in january 1855 and completed the following year. it was opened on new year's day 1856, and named in honour of the then governor-general sir william denison, who was on a tour of inspection of the bathurst region. the firs...	wikipedia
b0fcea370301a9007224f30cf553858e17426ea9	the bridge has four lamp standards, two at	the bridge has four lamp standards, two at each end, and in the centre two signs. on an interpretive sign about the river and people swimming there, and the original makers sign stating : "denison bridge p. n.russell & co. builders - sydney 1870". beside the bridge and supported off it, are service pipes.	wikipedia
8ff3369d082f369fcab2d6fb03a1fe927927f925	the main spans consist of wrought iron pony	the main spans consist of wrought iron pony trusses of the pratt type. support piers consist of timber piles under the approach spans and four pairs of cast iron cylinders 1.83m diameter braced with wrought iron crossed rods. the ten panel pratt trusses are simply supported and have horizontally positioned i-sections f...	wikipedia
0553778fee4afbfb6ee6211077a20ee9b81c7d2d	this is an early metal truss bridge that	this is an early metal truss bridge that carries 6.1 metres of roadway and a footpath. it has nine spans in all, three timber spans of 6.7m then three wrought iron trusses: 34m, 34.5m, 34m and then three again in timber at 6.7m. total length of the bridge is 474 ft (143.5m).	wikipedia
551820ca654c2c716412aa836f0449ad17ae95c2	denison bridge was an advanced design for its	denison bridge was an advanced design for its period and a major engineering achievement, it was the maximum span possible with a wrought iron truss span structure. it is the second oldest metal truss bridge in new south wales after the prince alfred bridge at gundagai. the new bridge was designed on the new american p...	wikipedia
acc73026931f4e2b10932052db64e27d1d97b329	in use for over 120 years as a	in use for over 120 years as a road bridge, its service life was interrupted only for a 9-day repair period in the 1960s. it was superseded by a prestressed concrete bridge upstream and closed to vehicular traffic in the early 1990s and adapted for use as a footbridge.	wikipedia
466d9934c487177d8fef8700501fd9b2da2f476e	in 1964-65: six piles were driven under the	in 1964-65: six piles were driven under the timber approach spans, 23 stringers were replaced, 6 round timber girders renewed, longitudinal sheeting replaced and deck bitumen sealed, timber decking replaced by high tensile bolts in three top chord joints, expansion bearings were repaired and one girder replaced. the de...	wikipedia
f3759ed8a57f28d10a461a8ba99567c86cf334ae	like the first bridge, the new one was	like the first bridge, the new one was opened by the governor of the time, who was now the earl of belmore. denison had left the colony in 1861 for madras and then to retirement in england, where he died in 1871. but the new bridge, opened in june 1870, was the replacement of the denison bridge of 1856 and the name of ...	wikipedia
89dcde29cc97ea5f8a27c796e54c7e1fd94352e3	the bridge was constructed in 1869 to 1870	the bridge was constructed in 1869 to 1870 by the prominent engineering firm, p. n. russell & co at a cost of 18,818 pounds through the nsw public works department. most of the angle irons and bars were specially rolled for the job at p. n. russell & co's pyrmont rolling mills and at bathurst's two iron foundries of th...	wikipedia
7db8877201ffe6694aa4bbed6348b25f2fc198df	the new denison bridge was designed by gustavus	the new denison bridge was designed by gustavus alphonse morrell, assistant engineer to the department of roads and foundation member of the engineering association of nsw. the bridge contract drawings bear morrell's signature and that of william christopher bennett, commissioner for roads.	wikipedia
5cfc130744037b02d762453abef27b08e109dfce	the denison bridge was washed away by the	the denison bridge was washed away by the great flood of 1867 and its debris also destroyed rankin's bridge, so after eleven years of having two bridges, bathurst again found itself with only a ford or a ferry to cross the macquarie. a narrow temporary wooden bridge was put across near the remains of the denison bridge...	wikipedia
a49c5e569e5c34aaa0e12ae30d37e38aea151c4c	eleven days later another bridge over the macquarie	eleven days later another bridge over the macquarie river a kilometre downstream was opened by a local entrepreneur, george ranken (frequently quoted as rankin): this bridge was known as the eglinton bridge or rankin's bridge.	wikipedia
31507d8e310c72b7a1a807ee6a3191f34576ed6b	this was the last "official" bridge designed by	this was the last "official" bridge designed by the colonial architect's department under its brief direction by architect and engineer, william weaver (1828–68). it was supervised by his clerk of works, william downey, during 1855.	wikipedia
9dc4779f87a4a3055443922b814a955410e0112d	after years of local agitation, a long timber	after years of local agitation, a long timber bridge with five laminated timber arches was started in 1855 and was opened on 1 january 1856 by the governor, sir william denison. a bullock was roasted on a spit and 3000 people celebrated the new bridge, named after the governor.	wikipedia
51fe62e7e2b4ca111b81c6664b9df210f246d547	in the early 1990s a realignment of the	in the early 1990s a realignment of the great western highway resulted in the evans bridge replacing the denison bridge, with the latter converted to pedestrian traffic only. it was added to the new south wales state heritage register on 1 august 2003, having earlier been listed on the now-defunct register of the natio...	wikipedia
b0dfd5e396d57acc6aa9e530f33a957b48e5fde6	the bridge, completed in 1870, replaced an earlier	the bridge, completed in 1870, replaced an earlier bridge that was built in 1856 and destroyed in 1867 floods. it was designed by gustavus alphonse morrell and built from 1869 to 1870 by p. n. russell & co. the bridge structure, except for the deck, is original and in excellent condition and for over 120 years the brid...	wikipedia
bbe2880077f541cf3c0259024948e5f5364cacb3	the theory of association schemes arose in statistics,	the theory of association schemes arose in statistics, in the theory of experimental design for the analysis of variance. in mathematics, association schemes belong to both algebra and combinatorics. in algebraic combinatorics, association schemes provide a unified approach to many topics, for example combinatorial des...	wikipedia
715b6b9c98c8441fac3a4a21066f135b4469bd5e	in classical coding theory, dealing with codes in	in classical coding theory, dealing with codes in a hamming scheme, the macwilliams transform involves a family of orthogonal polynomials known as the krawtchouk polynomials. these polynomials give the eigenvalues of the distance relation matrices of the hamming scheme.	wikipedia
1dead0de1185833c552a01a98736014ef9447ed5	in coding theory, association scheme theory is mainly	in coding theory, association scheme theory is mainly concerned with the distance of a code. the linear programming method produces upper bounds for the size of a code with given minimum distance, and lower bounds for the size of a design with a given strength. the most specific results are obtained in the case where t...	wikipedia
dd1bb44d40f7ecdfeb9d6dfba486404c22cb646a	there is another algebra of (n + 1)	there is another algebra of (n + 1) × (n + 1) {\displaystyle (n+1)\times (n+1)} matrices which is isomorphic to a {\displaystyle {\mathcal {a}}}, and is often easier to work with.	wikipedia
1d96d86d0cd39fca517600d7c4e95ff05471e95a	since the matrices in a {\displaystyle {\mathcal {a}}}	since the matrices in a {\displaystyle {\mathcal {a}}} are symmetric and commute with each other, they can be diagonalized simultaneously. therefore, a {\displaystyle {\mathcal {a}}} is semi-simple and has a unique basis of primitive idempotents j 0, …, j n {\displaystyle j_{0},\ldots,j_{n}}.	wikipedia
4391a601e1b56758e86a93607535cc23a49560cc	the adjacency matrices a i {\displaystyle a_{i}} of	the adjacency matrices a i {\displaystyle a_{i}} of the graphs (x, r i) {\displaystyle \left(x,r_{i}\right)} generate a commutative and associative algebra a {\displaystyle {\mathcal {a}}} (over the real or complex numbers) both for the matrix product and the pointwise product. this associative, commutative algebra is ...	wikipedia
45b525651ae677d245d738d595ef7e528d085fc0	the term association scheme is due to (bose	the term association scheme is due to (bose & shimamoto 1952) but the concept is already inherent in (bose & nair 1939). these authors were studying what statisticians have called partially balanced incomplete block designs (pbibds). the subject became an object of algebraic interest with the publication of (bose & mes...	wikipedia
f71250f3b5a2383ac8264b89cba33849254cced6	the (x, y)-th entry of the left side	the (x, y)-th entry of the left side of (iv) is the number of paths of length two between x and y with labels i and j in the graph. note that the rows and columns of a i {\displaystyle a_{i}} contain v i {\displaystyle v_{i}} 1 {\displaystyle 1} 's:	wikipedia
418e4fe8a19a9ebdd30708b7eff87d12dcfcc098	the relations are described by their adjacency matrices.	the relations are described by their adjacency matrices. a i {\displaystyle a_{i}} is the adjacency matrix of r i {\displaystyle r_{i}} for i = 0, …, n {\displaystyle i=0,\ldots,n} and is a v × v matrix with rows and columns labeled by the points of x {\displaystyle x}.	wikipedia
1574cf4df2fbaf3eebe0a08fcb77d3d382b259bb	a symmetric association scheme can be visualized as	a symmetric association scheme can be visualized as a complete graph with labeled edges. the graph has v {\displaystyle v} vertices, one for each point of x {\displaystyle x}, and the edge joining vertices x {\displaystyle x} and y {\displaystyle y} is labeled i {\displaystyle i} if x {\displaystyle x} and y {\displays...	wikipedia
e62ff417dda51145b09728bb728bf6272a045fcb	two points x and y are called i	two points x and y are called i th associates if (x, y) ∈ r i {\displaystyle (x,y)\in r_{i}}. the definition states that if x and y are i th associates then so are y and x. every pair of points are i th associates for exactly one i {\displaystyle i}. each point is its own zeroth associate while distinct points are neve...	wikipedia
7798e952053c54255315276df29cc06a244a0dbd	an association scheme is commutative if p i	an association scheme is commutative if p i j k = p j i k {\displaystyle p_{ij}^{k}=p_{ji}^{k}} for all i {\displaystyle i}, j {\displaystyle j} and k {\displaystyle k}. most authors assume this property.note, however, that while the notion of an association scheme generalizes the notion of a group, the notion of a com...	wikipedia
bbe2880077f541cf3c0259024948e5f5364cacb3	the theory of association schemes arose in statistics,	the theory of association schemes arose in statistics, in the theory of experimental design for the analysis of variance. in mathematics, association schemes belong to both algebra and combinatorics. in algebraic combinatorics, association schemes provide a unified approach to many topics, for example combinatorial des...	wikipedia
881b2b249c53393012426a332a4812f087ab4c53	in enzymology, an alcohol o-cinnamoyltransferase is an enzyme	in enzymology, an alcohol o-cinnamoyltransferase is an enzyme that catalyzes the chemical reaction thus, the two substrates of this enzyme are 1-o-trans-cinnamoyl-beta-d-glucopyranose and an alkanol (roh), whereas its two products are alkyl cinnamate and glucose. this enzyme belongs to the family of transferases, speci...	wikipedia
2e549aaf8bbf2608a2beb89bc3cda0cc678bb592	this enzyme belongs to the family of transferases,	this enzyme belongs to the family of transferases, specifically those acyltransferases transferring groups other than aminoacyl groups. the systematic name of this enzyme class is 1-o-trans-cinnamoyl-beta-d-glucopyranose:alcohol o-cinnamoyltransferase.	wikipedia
7b395e390ed27e8bba0426a8dac951954ca78ded	aoyamachō station opened on november 19, 1930, as	aoyamachō station opened on november 19, 1930, as ao station (阿保駅, ao-eki) on the sangu express electric railway. after merging with osaka electric kido on march 15, 1941, the line became the kansai express railway's osaka line. this line was merged with the nankai electric railway on june 1, 1944, to form kintetsu. th...	wikipedia
0cc43bc9f765d1645c17ee36c3ebfcad83fd3447	aoyamachō station (青山町駅, aoyamachō-eki) is a passenger railway	aoyamachō station (青山町駅, aoyamachō-eki) is a passenger railway station in located in the city of iga, mie prefecture, japan, operated by the private railway operator kintetsu railway.	wikipedia
b52de5d42c9047580ca92a1ec7e8700beb33ed85	in functional analysis, the dixmier–ng theorem is a	in functional analysis, the dixmier–ng theorem is a characterization of when a normed space is in fact a dual banach space. it was proven by kung-fu ng, who called it a variant of a theorem proven earlier by jacques dixmier. there exists a hausdorff locally convex topology τ on x so that the closed unit ball, b x , of ...	wikipedia
09baa8f5a983820f8e4124fdc52b8276d8fea141	there exists a banach space y so that	there exists a banach space y so that x is isometrically isomorphic to the dual of y . that 2. implies 1. is an application of the banach–alaoglu theorem, setting τ to the weak-* topology. that 1. implies 2. is an application of the bipolar theorem.	wikipedia
921531808a9660230103b8493e539ed1e1c591f2	let m {\displaystyle m} be a pointed metric	let m {\displaystyle m} be a pointed metric space with distinguished point denoted 0 m {\displaystyle 0_{m}}. the dixmier-ng theorem is applied to show that the lipschitz space lip 0 (m) {\displaystyle {\text{lip}}_{0}(m)} of all real-valued lipschitz functions from m {\displaystyle m} to r {\displaystyle \mathbb {r} }...	wikipedia
2a0f405cd3d5e327c75c291a2b5fcfd6435b6bec	that 2. implies 1. is an application of	that 2. implies 1. is an application of the banach–alaoglu theorem, setting τ {\displaystyle \tau } to the weak-* topology. that 1. implies 2. is an application of the bipolar theorem.	wikipedia
4a856145595aec0d441587bbb508dec695c8a68a	in functional analysis, the dixmier–ng theorem is a	in functional analysis, the dixmier–ng theorem is a characterization of when a normed space is in fact a dual banach space. it was proven by kung-fu ng, who called it a variant of a theorem proven earlier by jacques dixmier.	wikipedia
872e01e94ed7f11d70eabecd1cd0e5ff1d3e0891	eijiro ai is a former japanese nippon professional	eijiro ai is a former japanese nippon professional baseball pitcher. he played for the yakult swallows from 1985 to 1989, and the lotte orions/chiba lotte marines in 1991 and 1992.	wikipedia
1e4b4ccd06ac38ebcefb7863d023e934747222d5	eijiro ai (阿井英二郎, ai eijiro, born september 29,	eijiro ai (阿井英二郎, ai eijiro, born september 29, 1964) is a former japanese nippon professional baseball pitcher. he played for the yakult swallows from 1985 to 1989, and the lotte orions/chiba lotte marines in 1991 and 1992.	wikipedia