id string | question string | answer string | documents list |
|---|---|---|---|
0-8-0_21306902 | What information does the article about '0-8-0' provide on 'Austria'? | Two 0-8-0 locomotives were delivered from Andre Koechlin & Cie in Mulhouse to the Austrian Southern Railway in 1862. They were later sent to Italy and worked over the Apennines between Bologna and Pistoja. | [
"0-8-0 — Sweden\n\n0-8-0 was wheel arrangement on some Swedish freight locomotives in the early 20th century. The most well known is probably the E class of steam locomotives as many of them survived in the strategic reserve until the 1990s, when all steam engines were removed from the strategic reserve. The E clas... |
0-8-0_21306910 | What does the article about '0-8-0' say regarding 'United Kingdom'? | Two examples of 0-8-0T tank locomotives were built by Archibald Sturrock of the United Kingdom’s Great Northern Railway in 1866, but the design was not perpetuated. A tender locomotive version was introduced on the Barry Railway Company in 1889 to haul coal trains. Francis Webb of the London & North Western Railway (LN... | [
"0-8-0 — Sweden\n\n0-8-0 was wheel arrangement on some Swedish freight locomotives in the early 20th century. The most well known is probably the E class of steam locomotives as many of them survived in the strategic reserve until the 1990s, when all steam engines were removed from the strategic reserve. The E clas... |
0-8-0_21306901 | Reconstruct the content about 'Overview' from the article on '0-8-0'. | Examples of the 0-8-0 wheel arrangement were constructed both as tender and tank locomotives. The earliest locomotives were built for mainline haulage, particularly for freight, but the configuration was later also often used for large switcher (shunter) types. The wheel arrangement provided a powerful layout with all ... | [
"0-8-0 — Sweden\n\n0-8-0 was wheel arrangement on some Swedish freight locomotives in the early 20th century. The most well known is probably the E class of steam locomotives as many of them survived in the strategic reserve until the 1990s, when all steam engines were removed from the strategic reserve. The E clas... |
0-8-0_21306912 | Summarize the 'United Kingdom' part of '0-8-0'. | called Katharine for the Bridge Water Collieries system. On the Kent & East Sussex Railway, the Hecate was built for Colonel Stephens by RW Hawthorn, Leslie & Company in 1904, but the branchline for which it was built was never completed and since the engine was too big for his other railways, it was exchanged in 1932 ... | [
"0-8-0 — Sweden\n\n0-8-0 was wheel arrangement on some Swedish freight locomotives in the early 20th century. The most well known is probably the E class of steam locomotives as many of them survived in the strategic reserve until the 1990s, when all steam engines were removed from the strategic reserve. The E clas... |
0-8-2_6672274 | Based on the article about '0-8-2', describe the 'Minimum-gauge railways' section. | One Ravenglass and Eskdale Railway, 0-8-0T locomotive was rebuilt in 1927, as an 0-8-2 tender locomotive named River Irt. It has remained in traffic on passenger duties ever since and is now the oldest working 15 inch gauge locomotive in the world. | [
"0-8-2 — Minimum-gauge railways\n\nOne Ravenglass and Eskdale Railway, 0-8-0T locomotive was rebuilt in 1927, as an 0-8-2 tender locomotive named River Irt. It has remained in traffic on passenger duties ever since and is now the oldest working 15 inch gauge locomotive in the world.",
"0-8-2 — Usage\n\nThis has b... |
0-8-2_6672271 | Based on the article about '0-8-2', describe the 'Australia' section. | Dorrigo Steam Railway and Museum has preserved Avonside 0-8-2 Tank Locomotive number 14, formerly operated by South Maitland Railways collieries line in the Hunter Valley of N.S.W. Number 14 is operational, it was built in 1909 in Bristol. The design combination of this 0-8-2 tank Locomotive and the N.S.W. Government R... | [
"0-8-2 — Minimum-gauge railways\n\nOne Ravenglass and Eskdale Railway, 0-8-0T locomotive was rebuilt in 1927, as an 0-8-2 tender locomotive named River Irt. It has remained in traffic on passenger duties ever since and is now the oldest working 15 inch gauge locomotive in the world.",
"0-8-2 — Usage\n\nThis has b... |
0-8-2_6672268 | Summarize the following section from the article on '0-8-2'. | Under the Whyte notation for the classification of steam locomotives, 0-8-2 represents the wheel arrangement of no leading wheels, eight powered and coupled driving wheels on four axles, and two trailing wheels on one axle (usually in a trailing truck). Other equivalent classifications are: UIC classification (also kno... | [
"0-8-2 — Minimum-gauge railways\n\nOne Ravenglass and Eskdale Railway, 0-8-0T locomotive was rebuilt in 1927, as an 0-8-2 tender locomotive named River Irt. It has remained in traffic on passenger duties ever since and is now the oldest working 15 inch gauge locomotive in the world.",
"0-8-2 — Usage\n\nThis has b... |
0-8-2_6672270 | What information does the article about '0-8-2' provide on 'United Kingdom'? | In the United Kingdom, a number of tank locomotive designs were built of the 0-8-2 type, including the London and North Eastern Railway (LNER) R1 class, designed by Henry A. Ivatt and built originally for the Great Northern Railway as their class L1. These locomotives were intended for suburban passenger service, but d... | [
"0-8-2 — Minimum-gauge railways\n\nOne Ravenglass and Eskdale Railway, 0-8-0T locomotive was rebuilt in 1927, as an 0-8-2 tender locomotive named River Irt. It has remained in traffic on passenger duties ever since and is now the oldest working 15 inch gauge locomotive in the world.",
"0-8-2 — Usage\n\nThis has b... |
0-8-2_6672272 | Based on the article about '0-8-2', describe the 'North America' section. | The 0-8-2 was not a common wheel arrangement. In North America, its use was confined to 2-8-2 "Mikado" types assigned to switcher roles; the lead truck was often removed to give more weight on drivers, a guiding truck not being needed at slow speed. However, the Illinois Central rebuilt some of their 2-8-2s into 0-8-2s... | [
"0-8-2 — Minimum-gauge railways\n\nOne Ravenglass and Eskdale Railway, 0-8-0T locomotive was rebuilt in 1927, as an 0-8-2 tender locomotive named River Irt. It has remained in traffic on passenger duties ever since and is now the oldest working 15 inch gauge locomotive in the world.",
"0-8-2 — Usage\n\nThis has b... |
0-8-2_6672273 | Reconstruct the content about 'Narrow-gauge railways' from the article on '0-8-2'. | The arrangement has proved a little more popular on narrow-gauge and minimum-gauge lines, where the lack of leading wheels was less important due to the relatively slow operating speeds. 0-8-2 locomotives operate, for example, on the Zillertalbahn in Austria. The X class locomotives of the metre-gauge Nilgiri Mountain ... | [
"0-8-2 — Minimum-gauge railways\n\nOne Ravenglass and Eskdale Railway, 0-8-0T locomotive was rebuilt in 1927, as an 0-8-2 tender locomotive named River Irt. It has remained in traffic on passenger duties ever since and is now the oldest working 15 inch gauge locomotive in the world.",
"0-8-2 — Usage\n\nThis has b... |
0-8-4T_21511884 | Explain what '0-8-4T' covers in the 'United Kingdom' section. | The tank locomotives were themselves rare. Two separate classes were built in the UK, by two different railway companies. Both of these had their origins with an 0-8-0 tender design. Both classes were designed as powerful, but slow-speed, locomotives for heavy shunting. They did not require high speed or long range, so... | [
"0-8-4T — United Kingdom\n\nThe tank locomotives were themselves rare. Two separate classes were built in the UK, by two different railway companies. Both of these had their origins with an 0-8-0 tender design. Both classes were designed as powerful, but slow-speed, locomotives for heavy shunting. They did not requ... |
0-8-4T_21511882 | From the article on '0-8-4T', restate the 'Equivalent classifications' content. | UIC classification: D2 (also known as German classification and Italian classification) ; French classification: 042 ; Turkish classification: 46 ; Swiss classification: 4/6 Other equivalent classifications are: | [
"0-8-4T — United Kingdom\n\nThe tank locomotives were themselves rare. Two separate classes were built in the UK, by two different railway companies. Both of these had their origins with an 0-8-0 tender design. Both classes were designed as powerful, but slow-speed, locomotives for heavy shunting. They did not requ... |
0-8-4T_21511885 | Summarize the 'United Kingdom' part of '0-8-4T'. | their running gear, they also had three cylinders rather than two. The three cylinder tank locomotive was in fashion at this time, as a means of achieving good acceleration from rest, owing to their more even power delivery and the reduced risk of wheelslip. This three-cylindered pattern had begun with Holden's Decapod... | [
"0-8-4T — United Kingdom\n\nThe tank locomotives were themselves rare. Two separate classes were built in the UK, by two different railway companies. Both of these had their origins with an 0-8-0 tender design. Both classes were designed as powerful, but slow-speed, locomotives for heavy shunting. They did not requ... |
0-8-4T_21511886 | What does the article about '0-8-4T' say regarding 'United Kingdom'? | built new by the LNER. The rebuilt locomotive trialled a new outside-framed bogie, fitted with a booster engine, the LNER being one of the few UK railways to favour these. Two further locomotives were also built by the LNER. Six were built in total. The second example was LNWR 380 Class. These were a simple stretched v... | [
"0-8-4T — United Kingdom\n\nThe tank locomotives were themselves rare. Two separate classes were built in the UK, by two different railway companies. Both of these had their origins with an 0-8-0 tender design. Both classes were designed as powerful, but slow-speed, locomotives for heavy shunting. They did not requ... |
0-8-8-0_12843419 | Reconstruct the content from the article about '0-8-8-0'. | In the Whyte notation for classifying the wheel arrangement of steam locomotives, an 0-8-8-0 is a locomotive with two sets of eight driving wheels and neither leading wheels nor trailing wheels. Two sets of driving wheels would give far too long a wheelbase to be mounted in a fixed locomotive frame, so all 0-8-8-0s hav... | [
"0-8-8-0\n\nIn the Whyte notation for classifying the wheel arrangement of steam locomotives, an 0-8-8-0 is a locomotive with two sets of eight driving wheels and neither leading wheels nor trailing wheels. Two sets of driving wheels would give far too long a wheelbase to be mounted in a fixed locomotive frame, so ... |
0-8-8-0_12843423 | Based on the article about '0-8-8-0', describe the 'Popular culture' section. | Used in Lionel O gauge only in Erie and Pennsylvania road names. The Bavarian locomotives have been modelled in HO gauge by Marklin/Trix and by Rivarossi. | [
"0-8-8-0\n\nIn the Whyte notation for classifying the wheel arrangement of steam locomotives, an 0-8-8-0 is a locomotive with two sets of eight driving wheels and neither leading wheels nor trailing wheels. Two sets of driving wheels would give far too long a wheelbase to be mounted in a fixed locomotive frame, so ... |
0-8-8-0_12843421 | Based on the article about '0-8-8-0', describe the 'Failures' section. | In 1915, the ? purchased an 0-8-8-0 numbered 2000 but proved to be very unreliable and also very costly to maintain as the engine steamed poorly and derailed often. Eventually in the 1930s, the engine was split into two locomotives. The result was a useful 2-8-0 freight engine and a barely functional 0-8-0T switcher en... | [
"0-8-8-0\n\nIn the Whyte notation for classifying the wheel arrangement of steam locomotives, an 0-8-8-0 is a locomotive with two sets of eight driving wheels and neither leading wheels nor trailing wheels. Two sets of driving wheels would give far too long a wheelbase to be mounted in a fixed locomotive frame, so ... |
0-8-8-0_12843422 | What information does the article about '0-8-8-0' provide on 'Failures'? | goat engine that could work in the yards of Roanoke. This would keep the N&W W6 class engines busy working near and around the area of Roanoke like bringing engines in for servicing, taking the engines to the coal elevators, water towers, the ready tracks and so on while the successful N&W S1 and S1a's would handle the... | [
"0-8-8-0\n\nIn the Whyte notation for classifying the wheel arrangement of steam locomotives, an 0-8-8-0 is a locomotive with two sets of eight driving wheels and neither leading wheels nor trailing wheels. Two sets of driving wheels would give far too long a wheelbase to be mounted in a fixed locomotive frame, so ... |
0-8-8-0_12843420 | Describe the content of the article about '0-8-8-0'. | the tracking and stability of the locomotive means that the 0-8-8-0 type is not suited to high speeds. The vast majority have seen use as very heavy switchers (generally for hump yard work), transfer locomotives for hauling cuts of cars between rail yards, or pushers for assistance on grades. Most locomotives of this a... | [
"0-8-8-0\n\nIn the Whyte notation for classifying the wheel arrangement of steam locomotives, an 0-8-8-0 is a locomotive with two sets of eight driving wheels and neither leading wheels nor trailing wheels. Two sets of driving wheels would give far too long a wheelbase to be mounted in a fixed locomotive frame, so ... |
0.0.0.0_30374200 | What information does the article about '0.0.0.0' provide? | In the Internet Protocol Version 4, the address is a non-routable meta-address used to designate an invalid, unknown or non-applicable target. This address is assigned specific meanings in a number of contexts, such as on clients or on servers. | [
"0.0.0.0\n\nIn the Internet Protocol Version 4, the address is a non-routable meta-address used to designate an invalid, unknown or non-applicable target. This address is assigned specific meanings in a number of contexts, such as on clients or on servers.",
"0.0.0.0 — Routing\n\nIn the context of routing tables... |
0.0.0.0_30374202 | What does the article about '0.0.0.0' say regarding 'Routing'? | In the context of routing tables, a network destination of is used with a network mask of 0 to depict the default route as a destination subnet. This destination is expressed as in CIDR notation. It matches all addresses in the IPv4 address space and is present on most hosts, directed towards a local router. In routing... | [
"0.0.0.0\n\nIn the Internet Protocol Version 4, the address is a non-routable meta-address used to designate an invalid, unknown or non-applicable target. This address is assigned specific meanings in a number of contexts, such as on clients or on servers.",
"0.0.0.0 — Routing\n\nIn the context of routing tables... |
0.0.0.0_30374201 | Based on the article about '0.0.0.0', describe the 'As a host address' section. | A way to specify "any IPv4 address at all". It is used in this way when configuring servers (i.e. when binding listening sockets). This is known to TCP programmers as INADDR_ANY. (bind(2) binds to addresses, not interfaces.) ; The address a host claims as its own when it has not yet been assigned an address. Such as wh... | [
"0.0.0.0\n\nIn the Internet Protocol Version 4, the address is a non-routable meta-address used to designate an invalid, unknown or non-applicable target. This address is assigned specific meanings in a number of contexts, such as on clients or on servers.",
"0.0.0.0 — Routing\n\nIn the context of routing tables... |
0.0.0.0_30374203 | Describe the 'In IPv6' section of the article about '0.0.0.0'. | In IPv6, the all-zeros address is typically represented by (two colons), which is the short notation of . The IPv6 variant serves the same purpose as its IPv4 counterpart. | [
"0.0.0.0\n\nIn the Internet Protocol Version 4, the address is a non-routable meta-address used to designate an invalid, unknown or non-applicable target. This address is assigned specific meanings in a number of contexts, such as on clients or on servers.",
"0.0.0.0 — Routing\n\nIn the context of routing tables... |
0.5_mm_3054513 | What information does the article about '0.5 mm' provide on 'Cast'? | Sakura Ando as Sawa Yamagishi ; Akira Emoto ; Toshio Sakata as Shigeru Isuguro ; Mitsuko Kusabue ; Masahiko Tsugawa as Yoshio Makabe ; Miyoko Asada as Hisako Makabe ; Junkichi Orimoto as Kataoka ; Midori Kiuchi as Yukiko ; Nozomi Tsuchiya ; as Yasuo ; Masahiro Higashide ; Kazue Tsunogae as Hamada | [
"0.5 mm — Cast\n\nSakura Ando as Sawa Yamagishi ; Akira Emoto ; Toshio Sakata as Shigeru Isuguro ; Mitsuko Kusabue ; Masahiko Tsugawa as Yoshio Makabe ; Miyoko Asada as Hisako Makabe ; Junkichi Orimoto as Kataoka ; Midori Kiuchi as Yukiko ; Nozomi Tsuchiya ; as Yasuo ; Masahiro Higashide ; Kazue Tsunogae as Hamada"... |
0.5_mm_3054515 | Summarize the 'Accolades' part of '0.5 mm'. | At the 36th Yokohama Film Festival, the film was chosen as the 3rd best Japanese film of the year and Momoko Andō won the award for Best Director. At the 39th Hochi Film Awards, the film won the award for Best Picture and Masahiko Tsugawa won the award for Best Supporting Actor. At the 69th Mainichi Film Awards, Momoko... | [
"0.5 mm — Cast\n\nSakura Ando as Sawa Yamagishi ; Akira Emoto ; Toshio Sakata as Shigeru Isuguro ; Mitsuko Kusabue ; Masahiko Tsugawa as Yoshio Makabe ; Miyoko Asada as Hisako Makabe ; Junkichi Orimoto as Kataoka ; Midori Kiuchi as Yukiko ; Nozomi Tsuchiya ; as Yasuo ; Masahiro Higashide ; Kazue Tsunogae as Hamada"... |
0.8Syooogeki_11387451 | From the article on '0.8Syooogeki', restate the 'Biography' content. | The band was formed in 2008, with the members J.M. and Tadaomi Tōyama. J.M. was signed to an exclusive contract with Pinky fashion magazine, however the magazine disbanded in late 2009. Tōyama also works as a radio personality on Tokyo FM. Tadaomi Tōyama writes and produces the majority of the band's songs, with J.M. o... | [
"0.8Syooogeki\n\n0.8Syooogeki (0.8秒と衝撃.) were a two-member Japanese independent band, who debuted in 2009 with the single \"Postman John\".",
"0.8Syooogeki — Biography\n\nThe band was formed in 2008, with the members J.M. and Tadaomi Tōyama. J.M. was signed to an exclusive contract with Pinky fashion magazine, ho... |
0.8Syooogeki_11387452 | What does the article about '0.8Syooogeki' say regarding 'Biography'? | was released a month later in October 2010, under independent label Evol Records' sub-label, Actwise. The band released an extended play, Ethnofunky Dostoyevsky Comecome Club EP, in August 2010, and at the same time Tōyama began writing a column for alternative magazine Skream!. The band's Ichi-bō Ni-bō San-bō Yon-bō G... | [
"0.8Syooogeki\n\n0.8Syooogeki (0.8秒と衝撃.) were a two-member Japanese independent band, who debuted in 2009 with the single \"Postman John\".",
"0.8Syooogeki — Biography\n\nThe band was formed in 2008, with the members J.M. and Tadaomi Tōyama. J.M. was signed to an exclusive contract with Pinky fashion magazine, ho... |
0.999..._5038966 | Describe the 'Related questions' section of the article about '0.999...'. | define 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of many ways of writing numbers. In number... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038938 | Based on the article about '0.999...', describe the 'Impossibility of unique representation' section. | from multiple representations for some real numbers can be attributed to a fundamental difference between the real numbers as an ordered set and collections of infinite strings of symbols, ordered lexicographically. Indeed, the following two properties account for the difficulty: The first point follows from basic prop... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038948 | What information does the article about '0.999...' provide on 'Skepticism in education'? | students that 0.999... = 1. Still, when confronted with the conflict between their belief of the first equation and their disbelief of the second, some students either begin to disbelieve the first equation or simply become frustrated. Nor are more sophisticated methods foolproof: students who are fully capable of appl... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038967 | Summarize the 'Further reading' part of '0.999...'. | This article is a field study involving a student who developed a Leibnizian-style theory of infinitesimals to help her understand calculus, and in particular to account for 0.999... falling short of 1 by an infinitesimal 0.000...1. This article is a field study involving a student who developed a Leibnizian-style theo... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038969 | From the article on '0.999...', restate the 'Further reading' content. | article is a field study involving a student who developed a Leibnizian-style theory of infinitesimals to help her understand calculus, and in particular to account for 0.999... falling short of 1 by an infinitesimal 0.000...1. This article is a field study involving a student who developed a Leibnizian-style theory of... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038958 | Explain what '0.999...' covers in the 'Revisiting subtraction' section. | Another manner in which the proofs might be undermined is if 1 − 0.999... simply does not exist, because subtraction is not always possible. Mathematical structures with an addition operation but not a subtraction operation include commutative semigroups, commutative monoids and semirings. Richman considers two such sy... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038940 | What information does the article about '0.999...' provide on 'Impossibility of unique representation'? | the above argument shows that an order preserving map from the collection of strings to an interval of the real numbers cannot be a bijection: either some numbers do not correspond to any string, or some of them correspond to more than one string. Marko Petkovšek has proven that for any positional system that names all... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038933 | Summarize the 'Generalizations' part of '0.999...'. | In the balanced ternary system, 1⁄2 = 0.111... = 1. 111 .... ; In the reverse factorial number system (using bases 2!,3!,4!,... for positions after the decimal point), 1 = 1.000... = 0.1234.... The result that 0.999... = 1 generalizes readily in two ways. First, every nonzero number with a finite decimal notation (equi... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038913 | From the article on '0.999...', restate the 'Discussion on completeness' content. | Part of what this argument shows is that there is a least upper bound of the sequence 0.9, 0.99, 0.999, etc.: a smallest number that is greater than all of the terms of the sequence. One of the axioms of the real number system is the completeness axiom, which states that every bounded sequence has a least upper bound. ... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038935 | What information does the article about '0.999...' provide on 'Generalizations'? | hand, there are still uncountably many q (including all natural numbers greater than 1) for which there is only one base-q expansion of 1, other than the trivial 1.000.... This result was first obtained by Paul Erdős, Miklos Horváth, and István Joó around 1990. In 1998 Vilmos Komornik and Paola Loreti determined the sm... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038928 | Explain what '0.999...' covers in the 'Dedekind cuts' section. | proof is more immediate. He also notes that typically the definitions allow { x : x < 1 } to be a cut but not { x : x ≤ 1 } (or vice versa) "Why do that? Precisely to rule out the existence of distinct numbers 0.9* and 1. [...] So we see that in the traditional definition of the real numbers, the equation 0.9* = 1 is b... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038918 | Summarize the 'Analytic proofs' part of '0.999...'. | Since the question of 0.999... does not affect the formal development of mathematics, it can be postponed until one proves the standard theorems of real analysis. One requirement is to characterize real numbers that can be written in decimal notation, consisting of an optional sign, a finite sequence of one or more dig... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038963 | Reconstruct the content about 'p-adic numbers' from the article on '0.999...'. | = x − 9, hence x = −1 again. As a final extension, since 0.999... = 1 (in the reals) and ...999 = −1 (in the 10-adics), then by "blind faith and unabashed juggling of symbols" one may add the two equations and arrive at ...999.999... = 0. This equation does not make sense either as a 10-adic expansion or an ordinary de... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038932 | What does the article about '0.999...' say regarding 'Dense order'? | One of the notions that can resolve the issue is the requirement that real numbers are densely ordered. Students are taking for granted that are to represent real numbers they have to be equal. Dense ordering implies that if there is no new element strictly between two elements of the set, the two elements must be cons... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038946 | Describe the 'Skepticism in education' section of the article about '0.999...'. | process rather than a fixed value, since a sequence need not reach its limit. Where students accept the difference between a sequence of numbers and its limit, they might read "0.999..." as meaning the sequence rather than its limit. Students of mathematics often reject the equality of 0.999... and 1, for reasons rangi... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038924 | What information does the article about '0.999...' provide on 'Proofs from the construction of the real numbers'? | Some approaches explicitly define real numbers to be certain structures built upon the rational numbers, using axiomatic set theory. The natural numbers – 0, 1, 2, 3, and so on – begin with 0 and continue upwards, so that every number has a successor. One can extend the natural numbers with their negatives to give all ... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038930 | From the article on '0.999...', restate the 'Cauchy sequences' content. | are defined to be equal as real numbers if the sequence (xn − yn) has the limit 0. Truncations of the decimal number b0.b1b2b3... generate a sequence of rationals which is Cauchy; this is taken to define the real value of the number. Thus in this formalism the task is to show that the sequence of rational numbers This ... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038929 | From the article on '0.999...', restate the 'Cauchy sequences' content. | Another approach is to define a real number as the limit of a Cauchy sequence of rational numbers. This construction of the real numbers uses the ordering of rationals less directly. First, the distance between x and y is defined as the absolute value |x − y|, where the absolute value |z| is defined as the maximum of z... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038959 | What information does the article about '0.999...' provide on 'Revisiting subtraction'? | After defining multiplication, the decimal numbers form a positive, totally ordered, commutative semiring. In the process of defining multiplication, Richman also defines another system he calls "cut D", which is the set of Dedekind cuts of decimal fractions. Ordinarily this definition leads to the real numbers, but fo... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038968 | From the article on '0.999...', restate the 'Further reading' content. | article is a field study involving a student who developed a Leibnizian-style theory of infinitesimals to help her understand calculus, and in particular to account for 0.999... falling short of 1 by an infinitesimal 0.000...1. This article is a field study involving a student who developed a Leibnizian-style theory of... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038957 | What information does the article about '0.999...' provide on 'Hackenbush'? | Combinatorial game theory provides alternative reals as well, with infinite Blue-Red Hackenbush as one particularly relevant example. In 1974, Elwyn Berlekamp described a correspondence between Hackenbush strings and binary expansions of real numbers, motivated by the idea of data compression. For example, the value of... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038951 | Summarize the 'Cultural phenomenon' part of '0.999...'. | With the rise of the Internet, debates about 0.999... have become commonplace on newsgroups and message boards, including many that nominally have little to do with mathematics. In the newsgroup sci.math, arguing over 0.999... is described as a "popular sport", and it is one of the questions answered in its FAQ. The FA... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038915 | From the article on '0.999...', restate the 'Rigorous proof' content. | inverses of integers, or equivalently that there is no number that is larger than every integer. This is the Archimedean property, that is verified for rational numbers and real numbers. Real numbers may be enlarged into number systems, such as hyperreal numbers, with infinitely small numbers (infinitesimals) and infin... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038934 | What does the article about '0.999...' say regarding 'Generalizations'? | and in base 3 (the ternary numeral system) 0.222... equals 1. In general, any terminating base b expression has a counterpart with repeated trailing digits equal to b − 1. Textbooks of real analysis are likely to skip the example of 0.999... and present one or both of these generalizations from the start. Alterna... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038936 | Explain what '0.999...' covers in the 'Impossibility of unique representation' section. | If an interval of the real numbers is partitioned into two non-empty parts L, R, such that every element of L is (strictly) less than every element of R, then either L contains a largest element or R contains a smallest element, but not both. ; The collection of infinite strings of symbols taken from any finite "alphab... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038910 | What information does the article about '0.999...' provide? | of the real numbers, the system within which 0.999... is commonly defined. In other systems, 0.999... can have the same meaning, a different definition, or be undefined. More generally, every nonzero terminating decimal has two equal representations (for example, 8.32 and 8.31999...), which is a property of all positio... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038912 | What information does the article about '0.999...' provide on 'Intuitive explanation'? | If one places 0.9, 0.99, 0.999, etc. on the number line, one sees immediately that all these points are to the left of 1, and that they get closer and closer to 1. More precisely, the distance from 0.9 to 1 is 0.1 = 1/10 , the distance from 0.99 to 1 is 0.01 = 1/102 , and so on. The distance to 1 from the n th point (t... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038923 | From the article on '0.999...', restate the 'Nested intervals and least upper bounds' content. | 0.999... = 1. The Nested Intervals Theorem is usually founded upon a more fundamental characteristic of the real numbers: the existence of least upper bounds or suprema. To directly exploit these objects, one may define b0.b1b2b3... to be the least upper bound of the set of approximants {b0, b0.b1, b0.b1b2, ...}. One c... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038945 | What does the article about '0.999...' say regarding 'Skepticism in education'? | Students are often "mentally committed to the notion that a number can be represented in one and only one way by a decimal." Seeing two manifestly different decimals representing the same number appears to be a paradox, which is amplified by the appearance of the seemingly well-understood number 1. ; Some students inte... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038944 | Describe the 'Applications' section of the article about '0.999...'. | to construct a valid proof, applying his 1891 diagonal argument to decimal expansions, of the uncountability of the unit interval. Such a proof needs to be able to declare certain pairs of real numbers to be different based on their decimal expansions, so one needs to avoid pairs like 0.2 and 0.1999... A simple method ... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038954 | Describe the 'In alternative number systems' section of the article about '0.999...'. | might find that, in a given number system, 0.999... and 1 might not be identical. However, many number systems are extensions of the real number system (rather than independent alternatives to it), so 0.999... = 1 continues to hold. Even in such number systems, though, it is worthwhile to examine alternative number sys... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038914 | Based on the article about '0.999...', describe the 'Rigorous proof' section. | The previous explanation is not a proof, as one cannot define properly the relationship between a number and its representation as a point on the number line. For the accuracy of the proof, the number 0.999...9 , with n nines after the decimal point, is denoted 0.(9)n . Thus 0.(9)1 = 0.9 , 0.(9)2 = 0.99 , 0.(9)3 = 0.99... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038931 | From the article on '0.999...', restate the 'Infinite decimal representation' content. | Commonly in secondary schools' mathematics education, the real numbers are constructed by defining a number using an integer followed by a radix point and an infinite sequence written out as a string to represent the fractional part of any given real number. In this construction, the set of any combination of an intege... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038919 | Based on the article about '0.999...', describe the 'Infinite series and sequences' section. | A common development of decimal expansions is to define them as sums of infinite series. In general: The first two equalities can be interpreted as symbol shorthand definitions. The remaining equalities can be proven. The last step, that 1⁄10n → 0 as n → ∞, is often justified by the Archimedean property of the real num... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038949 | What does the article about '0.999...' say regarding 'Skepticism in education'? | able to prove that 1⁄3 = 0.333..., but, upon being confronted by the fractional proof, insist that "logic" supersedes the mathematical calculations. Joseph Mazur tells the tale of an otherwise brilliant calculus student of his who "challenged almost everything I said in class but never questioned his calculator," and w... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038927 | Based on the article about '0.999...', describe the 'Dedekind cuts' section. | every element of 0.999... is also an element of 1, the sets 0.999... and 1 contain the same rational numbers, and are therefore the same set, that is, 0.999... = 1. The definition of real numbers as Dedekind cuts was first published by Richard Dedekind in 1872. The above approach to assigning a real number to each deci... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038909 | Summarize the following section from the article on '0.999...'. | In mathematics, 0.999... (also written as 0., in repeating decimal notation) denotes the repeating decimal consisting of an unending sequence of 9s after the decimal point. This repeating decimal represents the smallest number no less than every decimal number in the sequence (0.9, 0.99, 0.999, ...); that is, the supre... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038962 | What does the article about '0.999...' say regarding 'p-adic numbers'? | the ones place, and it leaves behind only 0s after carrying through: 1 + ...999 = ...000 = 0, and so ...999 = −1. Another derivation uses a geometric series. The infinite series implied by "...999" does not converge in the real numbers, but it converges in the 10-adics, and so one can re-use the familiar formula: (Comp... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038941 | Describe the 'Applications' section of the article about '0.999...'. | 1⁄7 = 0. and 142 + 857 = 999. ; 1⁄73 = 0. and 0136 + 9863 = 9999. A point in the unit interval lies in the Cantor set if and only if it can be represented in ternary using only the digits 0 and 2. One application of 0.999... as a representation of 1 occurs in elementary number theory. In 1802, H. Goodwin published an o... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038964 | From the article on '0.999...', restate the 'Ultrafinitism' content. | The philosophy of ultrafinitism rejects as meaningless concepts dealing with infinite sets, such as idea that the notation corresponding to the positional values of the decimal digits in that infinite string. In this approach to mathematics, only some particular (fixed) number of finite decimal digits is meaningful. In... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038961 | From the article on '0.999...', restate the 'p-adic numbers' content. | Like the real numbers, the p-adic numbers can be built from the rational numbers via Cauchy sequences; the construction uses a different metric in which 0 is closer to p, and much closer to pn, than it is to 1. The p-adic numbers form a field for prime p and a ring for other p, including 10. So arithmetic can be perfor... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038947 | Describe the 'Skepticism in education' section of the article about '0.999...'. | or as instructive counterexamples to better understand 0.999... Many of these explanations were found by David Tall, who has studied characteristics of teaching and cognition that lead to some of the misunderstandings he has encountered in his college students. Interviewing his students to determine why the vast majori... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038926 | Reconstruct the content about 'Dedekind cuts' from the article on '0.999...'. | In the Dedekind cut approach, each real number x is defined as the infinite set of all rational numbers less than x. In particular, the real number 1 is the set of all rational numbers that are less than 1. Every positive decimal expansion easily determines a Dedekind cut: the set of rational numbers which are less tha... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038960 | Based on the article about '0.999...', describe the 'p-adic numbers' section. | When asked about 0.999..., novices often believe there should be a "final 9", believing 1 − 0.999... to be a positive number which they write as "0.000...1". Whether or not that makes sense, the intuitive goal is clear: adding a 1 to the final 9 in 0.999... would carry all the 9s into 0s and leave a 1 in the ones place... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038955 | Describe the 'Infinitesimals' section of the article about '0.999...'. | Some proofs that 0.999... = 1 rely on the Archimedean property of the real numbers: that there are no nonzero infinitesimals. Specifically, the difference 1 − 0.999... must be smaller than any positive rational number, so it must be an infinitesimal; but since the reals do not contain nonzero infinitesimals, the differ... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038937 | Explain what '0.999...' covers in the 'Impossibility of unique representation' section. | substrings) p1, p2 of elements from the collection such that they differ only in their final symbol, for which symbol they have successive values, and take for L the set of all strings in the collection whose corresponding prefix is at most p1, and for R the remainder, the strings in the collection whose corresponding ... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038952 | Based on the article about '0.999...', describe the 'Cultural phenomenon' section. | is "hotly disputed on websites ranging from World of Warcraft message boards to Ayn Rand forums". In the same vein, the question of 0.999... proved such a popular topic in the first seven years of Blizzard Entertainment's Battle.net forums that the company issued a "press release" on April Fools' Day 2004 that it is 1:... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038916 | From the article on '0.999...', restate the 'Algebraic arguments{{anchor|Algebraic}}' content. | The matter of overly simplified illustrations of the equality is a subject of pedagogical discussion and critique. discusses the argument that, in elementary school, one is taught that 1⁄3=0.333... , so, ignoring all essential subtleties, "multiplying" this identity by 3 gives 1=0.999... . He further says that this arg... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038911 | Based on the article about '0.999...', describe the 'Elementary proof' section. | There is an elementary proof of the equation 0.999... = 1 , which uses just the mathematical tools of comparison and addition of (finite) decimal numbers, without any reference to more advanced topics such as series, limits, formal construction of real numbers, etc. The proof, an exercise given by, is a direct formaliz... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.999..._5038917 | What does the article about '0.999...' say regarding 'Algebraic arguments{{anchor|Algebraic}}'? | been indoctrinated to accept the first equation without thinking", but also suggests that the argument may lead skeptics to question this assumption. Byers also presents the following argument. Let Students who did not accept the first argument sometimes accept the second argument, but, in Byers' opinion, still have no... | [
"0.999... — Related questions\n\ndefine 1⁄0 to be infinity; and, in fact, the results are profound and applicable to many problems in engineering and physics. Some prominent mathematicians argued for such a definition long before either number system was developed. ; Negative zero is another redundant feature of ma... |
0.TO.10_8395609 | Summarize the following section from the article on '0.TO.10'. | 0.TO.10 was the tenth concert tour by South Korean boy band Big Bang that was held to celebrate the group's tenth anniversary. The tour visited Japan, South Korea and Hong Kong from July 2016 to January 2017. The shows were live-streamed through theatres in Japan, Tencent QQ in China and Naver's V app. Big Bang held 24... | [
"0.TO.10\n\n0.TO.10 was the tenth concert tour by South Korean boy band Big Bang that was held to celebrate the group's tenth anniversary. The tour visited Japan, South Korea and Hong Kong from July 2016 to January 2017. The shows were live-streamed through theatres in Japan, Tencent QQ in China and Naver's V app. ... |
0.TO.10_8395614 | What does the article about '0.TO.10' say regarding 'BIGBANG10 The Concert : 0.TO.10 In Japan'? | BIGBANG10 The Concert : 0.TO.10 In Japan is a live DVD & Blu-ray by the group, released on November 2, 2016 in Japan. The DVD/Blu-ray was filmed during the group final live performance in Yanmar Stadium Nagai, which attracted 55,000 fans. The DVD includes a total of the 30 songs that were sung live in the concert of 0.... | [
"0.TO.10\n\n0.TO.10 was the tenth concert tour by South Korean boy band Big Bang that was held to celebrate the group's tenth anniversary. The tour visited Japan, South Korea and Hong Kong from July 2016 to January 2017. The shows were live-streamed through theatres in Japan, Tencent QQ in China and Naver's V app. ... |
0.TO.10_8395612 | Summarize the 'Fan-meetings' part of '0.TO.10'. | Along with the tour, Big Band held a special event with their fans, under the name Big Bang Special Event - Hajimari No Sayonara, with seven shows in Japan and one show in South Korea. | [
"0.TO.10\n\n0.TO.10 was the tenth concert tour by South Korean boy band Big Bang that was held to celebrate the group's tenth anniversary. The tour visited Japan, South Korea and Hong Kong from July 2016 to January 2017. The shows were live-streamed through theatres in Japan, Tencent QQ in China and Naver's V app. ... |
0.TO.10_8395617 | Explain what '0.TO.10' covers in the 'BIGBANG10 The Concert : 0.TO.10 -The Final-' section. | BIGBANG10 The Concert : 0.TO.10 -The Final- is a live DVD and Blu-ray by the group, released on March 22, 2017 in Japan. The DVD/Blu-ray was filmed during the group final live performance in Japan at Kyocera Dome. The tour in Japan mobilized 781,500 people in 16 shows in four cities. The DVD/Blu-ray includes a document... | [
"0.TO.10\n\n0.TO.10 was the tenth concert tour by South Korean boy band Big Bang that was held to celebrate the group's tenth anniversary. The tour visited Japan, South Korea and Hong Kong from July 2016 to January 2017. The shows were live-streamed through theatres in Japan, Tencent QQ in China and Naver's V app. ... |
0.TO.10_8395615 | Based on the article about '0.TO.10', describe the 'Charts' section. | BIGBANG10 The Concert : 0.TO.10 In Japan charted 1st on Oricon Daily Chart upon its release. In the first week it debuted at number one on the Oricon DVD Chart, selling 35,553 copies, making it fifth DVD released by the group to debut at number-one in Japan. The Blu-ray edition also debuted at number one and became the... | [
"0.TO.10\n\n0.TO.10 was the tenth concert tour by South Korean boy band Big Bang that was held to celebrate the group's tenth anniversary. The tour visited Japan, South Korea and Hong Kong from July 2016 to January 2017. The shows were live-streamed through theatres in Japan, Tencent QQ in China and Naver's V app. ... |
0.TO.10_8395613 | Explain what '0.TO.10' covers in the 'Personnel' section. | Lead performer ; Vocals, dance and director: Big Bang (G-Dragon, T.O.P, Taeyang, Seungri and Daesung) Band ; Music director/Keyboard 1: Gil Smith II ; AMD/Bass: Omar Dominick ; Drums: Bennie Rodgers II ; Keyboard 2: Dante Jackson ; Guitar: Justin Lyons ; Pro Tools Programmer: Adrian "AP" Porter Dancers ; HI-TECH: Park ... | [
"0.TO.10\n\n0.TO.10 was the tenth concert tour by South Korean boy band Big Bang that was held to celebrate the group's tenth anniversary. The tour visited Japan, South Korea and Hong Kong from July 2016 to January 2017. The shows were live-streamed through theatres in Japan, Tencent QQ in China and Naver's V app. ... |
0.TO.10_8395610 | Summarize the 'Japan' part of '0.TO.10'. | In March 2016, it was announced that Big Bang will hold a series of special 10th anniversary concerts in Yanmar Stadium Nagai in Osaka, with two shows to be held on July 30 and 31, with 110,000 fans in attendance. More than 450,000 people applied for the tickets, which lead to a third show being added on July 29. The c... | [
"0.TO.10\n\n0.TO.10 was the tenth concert tour by South Korean boy band Big Bang that was held to celebrate the group's tenth anniversary. The tour visited Japan, South Korea and Hong Kong from July 2016 to January 2017. The shows were live-streamed through theatres in Japan, Tencent QQ in China and Naver's V app. ... |
0.TO.10_8395611 | What information does the article about '0.TO.10' provide on 'South Korea'? | In June 2016, a concert in South Korea was announced to be held on August 20 at Seoul World Cup Stadium in Seoul, marking the 10th anniversary of the group's debut. The tickets were available on July 14 on Auction, with all available tickets sold out in under 30 minutes. On July 18, a portion of the tickets were opened... | [
"0.TO.10\n\n0.TO.10 was the tenth concert tour by South Korean boy band Big Bang that was held to celebrate the group's tenth anniversary. The tour visited Japan, South Korea and Hong Kong from July 2016 to January 2017. The shows were live-streamed through theatres in Japan, Tencent QQ in China and Naver's V app. ... |
0.TO.10_8395616 | From the article on '0.TO.10', restate the 'BIGBANG10 The Concert : 0.TO.10 In Seoul' content. | BIGBANG10 The Concert : 0.TO.10 In Seoul is a live DVD by the group, released on February 8, 2017 in Japan, and February 10 in South Korea. The DVD was filmed during the group 10th anniversary concert on August 20, 2016 in Seoul World Cup Stadium, which attracted 65,000 fans, and became the biggest audience gathered fo... | [
"0.TO.10\n\n0.TO.10 was the tenth concert tour by South Korean boy band Big Bang that was held to celebrate the group's tenth anniversary. The tour visited Japan, South Korea and Hong Kong from July 2016 to January 2017. The shows were live-streamed through theatres in Japan, Tencent QQ in China and Naver's V app. ... |
00_Agent_9147904 | What does the article about '00 Agent' say regarding 'List of 00s'? | The following lists are of the known 00 agents of the British Secret Service who exist in the Ian Fleming novels & short stories, the officially licensed novels, the EON movies, or in the official video games or comic strips. | [
"00 Agent — List of 00s\n\nThe following lists are of the known 00 agents of the British Secret Service who exist in the Ian Fleming novels & short stories, the officially licensed novels, the EON movies, or in the official video games or comic strips.",
"00 Agent — Description\n\ndesignate a licence to kill. The... |
00_Agent_9147900 | Explain what '00 Agent' covers in the 'Description' section. | designate a licence to kill. Thereafter, the novels are ambiguous about whether a 00 agent's licence to kill is limited, with varying accounts in Dr. No, Goldfinger, and The Man with the Golden Gun. Per Fleming's Moonraker, 00 agents face mandatory retirement at 45; John Gardner contradicts this in his novels, depictin... | [
"00 Agent — List of 00s\n\nThe following lists are of the known 00 agents of the British Secret Service who exist in the Ian Fleming novels & short stories, the officially licensed novels, the EON movies, or in the official video games or comic strips.",
"00 Agent — Description\n\ndesignate a licence to kill. The... |
00_Agent_9147901 | What does the article about '00 Agent' say regarding 'Description'? | novels feature two more 00 agents; 009 is mentioned in Thunderball and 006 is mentioned in On Her Majesty's Secret Service. Other authors have elaborated and expanded upon the 00 agents. While they presumably have been sent on dangerous missions as Bond has, little has been revealed about most of them. Several have bee... | [
"00 Agent — List of 00s\n\nThe following lists are of the known 00 agents of the British Secret Service who exist in the Ian Fleming novels & short stories, the officially licensed novels, the EON movies, or in the official video games or comic strips.",
"00 Agent — Description\n\ndesignate a licence to kill. The... |
00_Agent_9147897 | Reconstruct the content from the article about '00 Agent'. | In Ian Fleming's James Bond novels and the derived films, the 00 Section of MI6 is considered the secret service's elite. A 00 (typically read "Double O" and denoted in Fleming's novels by the letters "OO" rather than the digits "00") is a field agent that holds a licence to kill in the field, at their discretion, to c... | [
"00 Agent — List of 00s\n\nThe following lists are of the known 00 agents of the British Secret Service who exist in the Ian Fleming novels & short stories, the officially licensed novels, the EON movies, or in the official video games or comic strips.",
"00 Agent — Description\n\ndesignate a licence to kill. The... |
00_Agent_9147903 | From the article on '00 Agent', restate the 'Description' content. | recalled, not every 00 agent in the world. Behind the scenes photos of the film reveal that one of the agents in the chairs is female as well. As with the books, other writers have elaborated and expanded upon the 00 agents in the films and in other media. In GoldenEye, 006 is an alias for Alec Trevelyan, while in No T... | [
"00 Agent — List of 00s\n\nThe following lists are of the known 00 agents of the British Secret Service who exist in the Ian Fleming novels & short stories, the officially licensed novels, the EON movies, or in the official video games or comic strips.",
"00 Agent — Description\n\ndesignate a licence to kill. The... |
00_Agent_9147905 | What information does the article about '00 Agent' provide on 'False 00 Agents from Casino Royale (1967)'? | The 1967 film adaptation of Fleming's first novel, Casino Royale, spoofed the EON film series. As part of its storyline, Sir James Bond (David Niven), after having assumed the position of M, mandates that all MI6 agents – male and female – be renamed James Bond 007 in order to confuse enemy agents of SMERSH. | [
"00 Agent — List of 00s\n\nThe following lists are of the known 00 agents of the British Secret Service who exist in the Ian Fleming novels & short stories, the officially licensed novels, the EON movies, or in the official video games or comic strips.",
"00 Agent — Description\n\ndesignate a licence to kill. The... |
00_Agent_9147902 | Reconstruct the content about 'Description' from the article on '00 Agent'. | missions, often involving rogue agents (from Britain or other countries) or situations where an "ordinary" intelligence operation uncovers or reveals terrorist or criminal activity too sensitive to be dealt with using ordinary procedural or legal measures, and where the aforementioned discretionary "licence to kill" is... | [
"00 Agent — List of 00s\n\nThe following lists are of the known 00 agents of the British Secret Service who exist in the Ian Fleming novels & short stories, the officially licensed novels, the EON movies, or in the official video games or comic strips.",
"00 Agent — Description\n\ndesignate a licence to kill. The... |
00_Agent_9147898 | Explain what '00 Agent' covers in the 'Inspiration' section. | The origins of the Double O title may date to Fleming's wartime service. According to World War II historian Damien Lewis in his book Churchill's Secret Warriors, agents of the Special Operations Executive (SOE) were given a "0" prefix when they became "zero-rated" upon completion of training in how to kill. As part of... | [
"00 Agent — List of 00s\n\nThe following lists are of the known 00 agents of the British Secret Service who exist in the Ian Fleming novels & short stories, the officially licensed novels, the EON movies, or in the official video games or comic strips.",
"00 Agent — Description\n\ndesignate a licence to kill. The... |
00_Schneider_–_Jagd_auf_Nihil_Baxter_21905775 | From the article on '00 Schneider – Jagd auf Nihil Baxter', restate the 'Plot' content. | The funny clown Bratislav Metulskie is found dead in circus "Apollo". The retired commissioner 00 Schneider is asked to assume control of the case. Schneider and his aged sidekick Körschgen investigate to find the murderer, Nihil Baxter, a passionate art collector who is a little nuts and does not cultivate social cont... | [
"00 Schneider – Jagd auf Nihil Baxter — Plot\n\nThe funny clown Bratislav Metulskie is found dead in circus \"Apollo\". The retired commissioner 00 Schneider is asked to assume control of the case. Schneider and his aged sidekick Körschgen investigate to find the murderer, Nihil Baxter, a passionate art collector w... |
00_Schneider_–_Jagd_auf_Nihil_Baxter_21905774 | Summarize the following section from the article on '00 Schneider – Jagd auf Nihil Baxter'. | 00 Schneider – Jagd auf Nihil Baxter (The Search for Nihil Baxter) is a German comedy-film directed by Helge Schneider. It was released on 22 December 1994. He wrote the script as well as the music, did film direction, and played the main character and several additional roles. | [
"00 Schneider – Jagd auf Nihil Baxter — Plot\n\nThe funny clown Bratislav Metulskie is found dead in circus \"Apollo\". The retired commissioner 00 Schneider is asked to assume control of the case. Schneider and his aged sidekick Körschgen investigate to find the murderer, Nihil Baxter, a passionate art collector w... |
00_Schneider_–_Jagd_auf_Nihil_Baxter_21905776 | From the article on '00 Schneider – Jagd auf Nihil Baxter', restate the 'Main Cast' content. | Helge Schneider - 00 Schneider/Nihil Baxter/Professor Hasenbein/Johnny Flash ; Helmut Körschgen - Körschgen ; Andreas Kunze - Friend of 00 Schneider ; Werner Abrolat - Chief of Police ; Bratislav Metulskie - Metulskie ; Guenther Kordas - Ringmaster | [
"00 Schneider – Jagd auf Nihil Baxter — Plot\n\nThe funny clown Bratislav Metulskie is found dead in circus \"Apollo\". The retired commissioner 00 Schneider is asked to assume control of the case. Schneider and his aged sidekick Körschgen investigate to find the murderer, Nihil Baxter, a passionate art collector w... |
000_(emergency_telephone_number)_3564405 | Reconstruct the content about 'Failures by 000 operators' from the article on '000 (emergency telephone number)'. | The New South Wales State Labor Government has admitted to failings regarding the death of David Iredale, a high school student who died of dehydration in the bush near Katoomba, New South Wales, in late 2006. Iredale called 000 several times for help before he died. Emergency services, specifically the NSW Ambulance S... | [
"000 (emergency telephone number) — Failures by 000 operators\n\nThe New South Wales State Labor Government has admitted to failings regarding the death of David Iredale, a high school student who died of dehydration in the bush near Katoomba, New South Wales, in late 2006. Iredale called 000 several times for help... |
000_(emergency_telephone_number)_3564400 | Describe the '2009 Victorian bushfires' section of the article about '000 (emergency telephone number)'. | On 7 February 2009, catastrophic bushfires occurred in Victoria, otherwise known as Black Saturday bushfires. Over 18,000 calls to the Triple Zero Emergency Service on that day were left unanswered, and the majority of calls took much longer to be answered than usual. Owing to the unprecedented numbers of calls coming ... | [
"000 (emergency telephone number) — Failures by 000 operators\n\nThe New South Wales State Labor Government has admitted to failings regarding the death of David Iredale, a high school student who died of dehydration in the bush near Katoomba, New South Wales, in late 2006. Iredale called 000 several times for help... |
000_(emergency_telephone_number)_3564391 | What information does the article about '000 (emergency telephone number)' provide? | deaf (TDD) textphones. Calls to the emergency telephone number can be made even if a mobile phone is locked, no SIM card is required, and calls must be forwarded by network service providers even if the subscriber is barred from making calls due to billing issues. It is important to note that whilst dialling internatio... | [
"000 (emergency telephone number) — Failures by 000 operators\n\nThe New South Wales State Labor Government has admitted to failings regarding the death of David Iredale, a high school student who died of dehydration in the bush near Katoomba, New South Wales, in late 2006. Iredale called 000 several times for help... |
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