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1_+_2_+_3_+_4_+_β‹―_10638672
Explain what '1 + 2 + 3 + 4 + β‹―' covers in the 'Summability' section.
Among the classical divergent series, 1 + 2 + 3 + 4 + β‹― is relatively difficult to manipulate into a finite value. Many summation methods are used to assign numerical values to divergent series, some more powerful than others. For example, CesΓ ro summation is a well-known method that sums Grandi's series, the mildly di...
[ "1 + 2 + 3 + 4 + β‹― β€” Ramanujan summation\n\ntheory of Ramanujan summation requires that f is \"regular\" in the sense that the higher-order derivatives of f decay quickly enough for the remainder terms in the Euler–Maclaurin formula to tend to 0. Ramanujan tacitly assumed this property. The regularity requirement p...
1_+_2_+_3_+_4_+_β‹―_10638689
Summarize the 'In popular media' part of '1 + 2 + 3 + 4 + β‹―'.
+ 3 + 4 + β‹― = βˆ’ 1⁄12 as ΞΆ(βˆ’1). After receiving complaints about the lack of rigour in the first video, Padilla also wrote an explanation on his webpage relating the manipulations in the video to identities between the analytic continuations of the relevant Dirichlet series. In The New York Times coverage of the Numberp...
[ "1 + 2 + 3 + 4 + β‹― β€” Ramanujan summation\n\ntheory of Ramanujan summation requires that f is \"regular\" in the sense that the higher-order derivatives of f decay quickly enough for the remainder terms in the Euler–Maclaurin formula to tend to 0. Ramanujan tacitly assumed this property. The regularity requirement p...
1_+_2_+_3_+_4_+_β‹―_10638687
From the article on '1 + 2 + 3 + 4 + β‹―', restate the 'In popular media' content.
David Leavitt's 2007 novel The Indian Clerk includes a scene where Hardy and Littlewood discuss the meaning of this series. They conclude that Ramanujan has rediscovered ΞΆ(βˆ’1), and they take the "lunatic asylum" line in his second letter as a sign that Ramanujan is toying with them. Simon McBurney's 2007 play A Disappe...
[ "1 + 2 + 3 + 4 + β‹― β€” Ramanujan summation\n\ntheory of Ramanujan summation requires that f is \"regular\" in the sense that the higher-order derivatives of f decay quickly enough for the remainder terms in the Euler–Maclaurin formula to tend to 0. Ramanujan tacitly assumed this property. The regularity requirement p...
1_+_3_17009159
Explain what '1 + 3' covers in the 'Track listing' section.
1) "Muffin" – 8:56 ; 2) "Mr. T.W." – 14:01 ; 3) "Doom" – 8:56 ; 4) "New Song #3" – 12:20 All compositions by Ron Carter.
[ "1 + 3 β€” Track listing\n\n1) \"Muffin\" – 8:56 ; 2) \"Mr. T.W.\" – 14:01 ; 3) \"Doom\" – 8:56 ; 4) \"New Song #3\" – 12:20 All compositions by Ron Carter.", "1 + 3\n\n1 + 3 is a live album by bassist Ron Carter which was recorded in Tokyo in 1978 and released on the Japanese JVC label the following year.", "1 +...
1_+_3_17009157
Summarize the following section from the article on '1 + 3'.
1 + 3 is a live album by bassist Ron Carter which was recorded in Tokyo in 1978 and released on the Japanese JVC label the following year.
[ "1 + 3 β€” Track listing\n\n1) \"Muffin\" – 8:56 ; 2) \"Mr. T.W.\" – 14:01 ; 3) \"Doom\" – 8:56 ; 4) \"New Song #3\" – 12:20 All compositions by Ron Carter.", "1 + 3\n\n1 + 3 is a live album by bassist Ron Carter which was recorded in Tokyo in 1978 and released on the Japanese JVC label the following year.", "1 +...
1_+_3_17009160
What information does the article about '1 + 3' provide on 'Personnel'?
Ron Carter – double bass ; Herbie Hancock (tracks 3 & 4), Hank Jones (tracks 1 & 2) - piano ; Tony Williams – drums
[ "1 + 3 β€” Track listing\n\n1) \"Muffin\" – 8:56 ; 2) \"Mr. T.W.\" – 14:01 ; 3) \"Doom\" – 8:56 ; 4) \"New Song #3\" – 12:20 All compositions by Ron Carter.", "1 + 3\n\n1 + 3 is a live album by bassist Ron Carter which was recorded in Tokyo in 1978 and released on the Japanese JVC label the following year.", "1 +...
1_+_3_17009158
Explain what '1 + 3' covers in the 'Reception' section.
The AllMusic review by Ron Wynn stated "Exactly the kind of impressive, high level playing and interaction you'd expect from this trio. ... While it's Carter's session, there's really no leader or followers, just three wonderful musicians fully attuned to each other".
[ "1 + 3 β€” Track listing\n\n1) \"Muffin\" – 8:56 ; 2) \"Mr. T.W.\" – 14:01 ; 3) \"Doom\" – 8:56 ; 4) \"New Song #3\" – 12:20 All compositions by Ron Carter.", "1 + 3\n\n1 + 3 is a live album by bassist Ron Carter which was recorded in Tokyo in 1978 and released on the Japanese JVC label the following year.", "1 +...
1_22_polytope_14489372
What does the article about '1 22 polytope' say regarding 'Related complex polyhedron'?
The regular complex polyhedron 3{3}3{4}2,, in has a real representation as the 122 polytope in 4-dimensional space. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces. Its complex reflection group is 3[3]3[4]2, order 1296. It has a half-symmetry quasiregular construction as, as a rectification of the Hessian polyhedro...
[ "1 22 polytope β€” Related complex polyhedron\n\nThe regular complex polyhedron 3{3}3{4}2,, in has a real representation as the 122 polytope in 4-dimensional space. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces. Its complex reflection group is 3[3]3[4]2, order 1296. It has a half-symmetry quasiregular construct...
1_22_polytope_14489373
What does the article about '1 22 polytope' say regarding 'Related polytopes and honeycomb'?
Along with the semiregular polytope, 221, it is also one of a family of 39 convex uniform polytopes in 6-dimensions, made of uniform polytope facets and vertex figures, defined by all permutations of rings in this Coxeter-Dynkin diagram:.
[ "1 22 polytope β€” Related complex polyhedron\n\nThe regular complex polyhedron 3{3}3{4}2,, in has a real representation as the 122 polytope in 4-dimensional space. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces. Its complex reflection group is 3[3]3[4]2, order 1296. It has a half-symmetry quasiregular construct...
1_22_polytope_14489371
Based on the article about '1 22 polytope', describe the 'Construction' section.
It is created by a Wythoff construction upon a set of 6 hyperplane mirrors in 6-dimensional space. The facet information can be extracted from its Coxeter-Dynkin diagram,. Removing the node on either of 2-length branches leaves the 5-demicube, 131,. The vertex figure is determined by removing the ringed node and ringin...
[ "1 22 polytope β€” Related complex polyhedron\n\nThe regular complex polyhedron 3{3}3{4}2,, in has a real representation as the 122 polytope in 4-dimensional space. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces. Its complex reflection group is 3[3]3[4]2, order 1296. It has a half-symmetry quasiregular construct...
1_22_polytope_14489381
Explain what '1 22 polytope' covers in the 'Construction' section.
Its construction is based on the E6 group and information can be extracted from the ringed Coxeter-Dynkin diagram representing this polytope:.
[ "1 22 polytope β€” Related complex polyhedron\n\nThe regular complex polyhedron 3{3}3{4}2,, in has a real representation as the 122 polytope in 4-dimensional space. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces. Its complex reflection group is 3[3]3[4]2, order 1296. It has a half-symmetry quasiregular construct...
1_22_polytope_14489369
From the article on '1 22 polytope', restate the '1_22 polytope' content.
The 1_22 polytope contains 72 vertices, and 54 5-demicubic facets. It has a birectified 5-simplex vertex figure. Its 72 vertices represent the root vectors of the simple Lie group E6.
[ "1 22 polytope β€” Related complex polyhedron\n\nThe regular complex polyhedron 3{3}3{4}2,, in has a real representation as the 122 polytope in 4-dimensional space. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces. Its complex reflection group is 3[3]3[4]2, order 1296. It has a half-symmetry quasiregular construct...
1_22_polytope_14489379
Summarize the 'Construction' part of '1 22 polytope'.
Its construction is based on the E6 group and information can be extracted from the ringed Coxeter-Dynkin diagram representing this polytope:. Removing the ring on the short branch leaves the birectified 5-simplex,. Removing the ring on the either 2-length branch leaves the birectified 5-orthoplex in its alternated for...
[ "1 22 polytope β€” Related complex polyhedron\n\nThe regular complex polyhedron 3{3}3{4}2,, in has a real representation as the 122 polytope in 4-dimensional space. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces. Its complex reflection group is 3[3]3[4]2, order 1296. It has a half-symmetry quasiregular construct...
1_22_polytope_14489374
Based on the article about '1 22 polytope', describe the 'Geometric folding' section.
The 122 is related to the 24-cell by a geometric folding E6 β†’ F4 of Coxeter-Dynkin diagrams, E6 corresponding to 122 in 6 dimensions, F4 to the 24-cell in 4 dimensions. This can be seen in the Coxeter plane projections. The 24 vertices of the 24-cell are projected in the same two rings as seen in the 122.
[ "1 22 polytope β€” Related complex polyhedron\n\nThe regular complex polyhedron 3{3}3{4}2,, in has a real representation as the 122 polytope in 4-dimensional space. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces. Its complex reflection group is 3[3]3[4]2, order 1296. It has a half-symmetry quasiregular construct...
1_22_polytope_14489376
What information does the article about '1 22 polytope' provide on 'Rectified 1_22 polytope'?
The rectified 122 polytope (also called 0221) can tessellate 6-dimensional space as the Voronoi cell of the E6* honeycomb lattice (dual of E6 lattice).
[ "1 22 polytope β€” Related complex polyhedron\n\nThe regular complex polyhedron 3{3}3{4}2,, in has a real representation as the 122 polytope in 4-dimensional space. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces. Its complex reflection group is 3[3]3[4]2, order 1296. It has a half-symmetry quasiregular construct...
1_22_polytope_14489368
Summarize the following section from the article on '1 22 polytope'.
In 6-dimensional geometry, the 122 polytope is a uniform polytope, constructed from the E6 group. It was first published in E. L. Elte's 1912 listing of semiregular polytopes, named as V72 (for its 72 vertices). Its Coxeter symbol is 122, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end ...
[ "1 22 polytope β€” Related complex polyhedron\n\nThe regular complex polyhedron 3{3}3{4}2,, in has a real representation as the 122 polytope in 4-dimensional space. It has 72 vertices, 216 3-edges, and 54 3{3}3 faces. Its complex reflection group is 3[3]3[4]2, order 1296. It has a half-symmetry quasiregular construct...
1_32_polytope_14489517
From the article on '1 32 polytope', restate the 'Related polytopes and honeycombs' content.
The 132 is third in a dimensional series of uniform polytopes and honeycombs, expressed by Coxeter as 13k series. The next figure is the Euclidean honeycomb 133 and the final is a noncompact hyperbolic honeycomb, 134.
[ "1 32 polytope β€” Alternate names\n\nRectified pentacontihexa-hecatonicosihexa-exon for rectified 56-126 facetted polyexon (acronym rolin) (Jonathan Bowers)", "1 32 polytope β€” Related polytopes and honeycombs\n\nThe 132 is third in a dimensional series of uniform polytopes and honeycombs, expressed by Coxeter as 1...
1_32_polytope_14489515
Explain what '1 32 polytope' covers in the 'Alternate names' section.
Emanuel Lodewijk Elte named it V576 (for its 576 vertices) in his 1912 listing of semiregular polytopes. ; Coxeter called it 132 for its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 1-node branch. ; Pentacontihexa-hecatonicosihexa-exon (Acronym lin) - 56-126 facetted polyexon (Jonathan Bower...
[ "1 32 polytope β€” Alternate names\n\nRectified pentacontihexa-hecatonicosihexa-exon for rectified 56-126 facetted polyexon (acronym rolin) (Jonathan Bowers)", "1 32 polytope β€” Related polytopes and honeycombs\n\nThe 132 is third in a dimensional series of uniform polytopes and honeycombs, expressed by Coxeter as 1...
1_32_polytope_14489518
Explain what '1 32 polytope' covers in the 'Rectified 1_32 polytope' section.
The rectified 132 (also called 0321) is a rectification of the 132 polytope, creating new vertices on the center of edge of the 132. Its vertex figure is a duoprism prism, the product of a regular tetrahedra and triangle, doubled into a prism: {3,3}Γ—{3}Γ—{}.
[ "1 32 polytope β€” Alternate names\n\nRectified pentacontihexa-hecatonicosihexa-exon for rectified 56-126 facetted polyexon (acronym rolin) (Jonathan Bowers)", "1 32 polytope β€” Related polytopes and honeycombs\n\nThe 132 is third in a dimensional series of uniform polytopes and honeycombs, expressed by Coxeter as 1...
1_32_polytope_14489520
From the article on '1 32 polytope', restate the 'Construction' content.
It is created by a Wythoff construction upon a set of 7 hyperplane mirrors in 7-dimensional space. These mirrors are represented by its Coxeter-Dynkin diagram,, and the ring represents the position of the active mirror(s). Removing the node on the end of the 3-length branch leaves the rectified 122 polytope, Removing t...
[ "1 32 polytope β€” Alternate names\n\nRectified pentacontihexa-hecatonicosihexa-exon for rectified 56-126 facetted polyexon (acronym rolin) (Jonathan Bowers)", "1 32 polytope β€” Related polytopes and honeycombs\n\nThe 132 is third in a dimensional series of uniform polytopes and honeycombs, expressed by Coxeter as 1...
1_32_polytope_14489513
Summarize the following section from the article on '1 32 polytope'.
In 7-dimensional geometry, 132 is a uniform polytope, constructed from the E7 group. Its Coxeter symbol is 132, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of one of the 1-node sequences. The rectified 132 is constructed by points at the mid-edges of the 132. These polytopes are par...
[ "1 32 polytope β€” Alternate names\n\nRectified pentacontihexa-hecatonicosihexa-exon for rectified 56-126 facetted polyexon (acronym rolin) (Jonathan Bowers)", "1 32 polytope β€” Related polytopes and honeycombs\n\nThe 132 is third in a dimensional series of uniform polytopes and honeycombs, expressed by Coxeter as 1...
1_32_polytope_14489514
Summarize the '1_32 polytope' part of '1 32 polytope'.
This polytope can tessellate 7-dimensional space, with symbol 133, and Coxeter-Dynkin diagram,. It is the Voronoi cell of the dual E7* lattice.
[ "1 32 polytope β€” Alternate names\n\nRectified pentacontihexa-hecatonicosihexa-exon for rectified 56-126 facetted polyexon (acronym rolin) (Jonathan Bowers)", "1 32 polytope β€” Related polytopes and honeycombs\n\nThe 132 is third in a dimensional series of uniform polytopes and honeycombs, expressed by Coxeter as 1...
1_32_polytope_14489516
Summarize the 'Construction' part of '1 32 polytope'.
It is created by a Wythoff construction upon a set of 7 hyperplane mirrors in 7-dimensional space. The facet information can be extracted from its Coxeter-Dynkin diagram, Removing the node on the end of the 2-length branch leaves the 6-demicube, 131, Removing the node on the end of the 3-length branch leaves the 122, T...
[ "1 32 polytope β€” Alternate names\n\nRectified pentacontihexa-hecatonicosihexa-exon for rectified 56-126 facetted polyexon (acronym rolin) (Jonathan Bowers)", "1 32 polytope β€” Related polytopes and honeycombs\n\nThe 132 is third in a dimensional series of uniform polytopes and honeycombs, expressed by Coxeter as 1...
1_33_honeycomb_29975631
What does the article about '1 33 honeycomb' say regarding 'E7{{sup|*}} lattice'?
βˆͺ = βˆͺ βˆͺ βˆͺ = dual of. from different nodes: The E7* lattice (also called E72) has double the symmetry, represented by 3,33,3. The Voronoi cell of the E7* lattice is the 132 polytope, and voronoi tessellation the 133 honeycomb. The E7* lattice is constructed by 2 copies of the E7 lattice vertices, one from each long ...
[ "1 33 honeycomb β€” E7{{sup|*}} lattice\n\nβˆͺ = βˆͺ βˆͺ βˆͺ = dual of. from different nodes: The E7* lattice (also called E72) has double the symmetry, represented by 3,33,3. The Voronoi cell of the E7* lattice is the 132 polytope, and voronoi tessellation the 133 honeycomb. The E7* lattice is constructed by 2 copies of...
1_33_honeycomb_29975628
What information does the article about '1 33 honeycomb' provide on 'Construction'?
It is created by a Wythoff construction upon a set of 8 hyperplane mirrors in 7-dimensional space. The facet information can be extracted from its Coxeter-Dynkin diagram. Removing a node on the end of one of the 3-length branch leaves the 132, its only facet type. The vertex figure is determined by removing the ringed ...
[ "1 33 honeycomb β€” E7{{sup|*}} lattice\n\nβˆͺ = βˆͺ βˆͺ βˆͺ = dual of. from different nodes: The E7* lattice (also called E72) has double the symmetry, represented by 3,33,3. The Voronoi cell of the E7* lattice is the 132 polytope, and voronoi tessellation the 133 honeycomb. The E7* lattice is constructed by 2 copies of...
1_33_honeycomb_29975627
Summarize the following section from the article on '1 33 honeycomb'.
In 7-dimensional geometry, 133 is a uniform honeycomb, also given by SchlΓ€fli symbol {3,33,3}, and is composed of 132''' facets.
[ "1 33 honeycomb β€” E7{{sup|*}} lattice\n\nβˆͺ = βˆͺ βˆͺ βˆͺ = dual of. from different nodes: The E7* lattice (also called E72) has double the symmetry, represented by 3,33,3. The Voronoi cell of the E7* lattice is the 132 polytope, and voronoi tessellation the 133 honeycomb. The E7* lattice is constructed by 2 copies of...
1_33_honeycomb_29975629
Reconstruct the content about 'Kissing number' from the article on '1 33 honeycomb'.
Each vertex of this polytope corresponds to the center of a 6-sphere in a moderately dense sphere packing, in which each sphere is tangent to 70 others; the best known for 7 dimensions (the kissing number) is 126.
[ "1 33 honeycomb β€” E7{{sup|*}} lattice\n\nβˆͺ = βˆͺ βˆͺ βˆͺ = dual of. from different nodes: The E7* lattice (also called E72) has double the symmetry, represented by 3,33,3. The Voronoi cell of the E7* lattice is the 132 polytope, and voronoi tessellation the 133 honeycomb. The E7* lattice is constructed by 2 copies of...
1_42_polytope_15312793
Summarize the 'Projections' part of '1 42 polytope'.
[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. Notice the last two outer hulls are ...
[ "1 42 polytope β€” Projections\n\n[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. ...
1_42_polytope_15312796
Based on the article about '1 42 polytope', describe the 'Construction' section.
It is created by a Wythoff construction upon a set of 8 hyperplane mirrors in 8-dimensional space. The facet information can be extracted from its Coxeter-Dynkin diagram:. Removing the node on the end of the 1-length branch leaves the birectified 7-simplex, Removing the node on the end of the 2-length branch leaves the...
[ "1 42 polytope β€” Projections\n\n[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. ...
1_42_polytope_15312792
What does the article about '1 42 polytope' say regarding 'Construction'?
It is created by a Wythoff construction upon a set of 8 hyperplane mirrors in 8-dimensional space. The facet information can be extracted from its Coxeter-Dynkin diagram:. Removing the node on the end of the 2-length branch leaves the 7-demicube, 141,. Removing the node on the end of the 4-length branch leaves the 132,...
[ "1 42 polytope β€” Projections\n\n[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. ...
1_42_polytope_15312797
What information does the article about '1 42 polytope' provide on 'Projections'?
Orthographic projections are shown for the sub-symmetries of B6, B5, B4, B3, B2, A7, and A5 Coxeter planes. Vertices are shown as circles, colored by their order of overlap in each projective plane. (Planes for E8: E7, E6, B8, B7, [24] are not shown for being too large to display.)
[ "1 42 polytope β€” Projections\n\n[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. ...
1_42_polytope_15312794
What does the article about '1 42 polytope' say regarding 'Rectified 142 polytope'?
The rectified 142 is named from being a rectification of the 142 polytope, with vertices positioned at the mid-edges of the 142. It can also be called a 0421 polytope with the ring at the center of 3 branches of length 4, 2, and 1.
[ "1 42 polytope β€” Projections\n\n[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. ...
1_42_polytope_15312790
What does the article about '1 42 polytope' say regarding 'Alternate names'?
E. L. Elte (1912) excluded this polytope from his listing of semiregular polytopes, because it has more than two types of 6-faces, but under his naming scheme it would be called V17280 for its 17280 vertices. ; Coxeter named it 142 for its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 1-node ...
[ "1 42 polytope β€” Projections\n\n[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. ...
1_42_polytope_15312788
Reconstruct the content from the article about '1 42 polytope'.
In 8-dimensional geometry, the 142 is a uniform 8-polytope, constructed within the symmetry of the E8 group. Its Coxeter symbol is 142, describing its bifurcating Coxeter-Dynkin diagram, with a single ring on the end of the 1-node sequences. The rectified 142 is constructed by points at the mid-edges of the 142 and is ...
[ "1 42 polytope β€” Projections\n\n[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. ...
1_42_polytope_15312791
Reconstruct the content about 'Coordinates' from the article on '1 42 polytope'.
(4, 2, 2, 2, 2, 0, 0, 0) (2, 2, 2, 2, 2, 2, 2, 2) ; (5, 1, 1, 1, 1, 1, 1, 1) ; (3, 3, 3, 1, 1, 1, 1, 1) The 17280 vertices can be defined as sign and location permutations of: All sign combinations (32): (280Γ—32=8960 vertices) Half of the sign combinations (128): ((1+8+56)Γ—128=8320 vertices) The edge length is 2√2 in t...
[ "1 42 polytope β€” Projections\n\n[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. ...
1_42_polytope_15312795
Summarize the 'Alternate names' part of '1 42 polytope'.
0421 polytope ; Birectified 241 polytope ; Quadrirectified 421 polytope ; Rectified diacositetracont-dischiliahectohexaconta-zetton as a rectified 240-2160 facetted polyzetton (acronym buffy) (Jonathan Bowers)
[ "1 42 polytope β€” Projections\n\n[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. ...
1_42_polytope_15312789
Explain what '1 42 polytope' covers in the '142 polytope' section.
The 142 is composed of 2400 facets: 240 132 polytopes, and 2160 7-demicubes (141). Its vertex figure is a birectified 7-simplex. This polytope, along with the demiocteract, can tessellate 8-dimensional space, represented by the symbol 152, and Coxeter-Dynkin diagram:.
[ "1 42 polytope β€” Projections\n\n[[File:E8_142-3D_Concentric_Hulls.png|thumb|300px|Shown in 3D projection using the basis vectors [u,v,w] giving H3 symmetry: The 17280 projected 142 polytope vertices are sorted and tallied by their 3D norm generating the increasingly transparent hulls for each set of tallied norms. ...
1_Aquarii_15614444
Reconstruct the content from the article about '1 Aquarii'.
1 Aquarii is a binary star system in the zodiac constellation of Aquarius, about 257 light years away from the Sun. 1 Aquarii is the Flamsteed designation. It is visible to the naked eye as a faint, orange-hued star with an apparent visual magnitude of 5.151, located a degree north of the celestial equator. The system ...
[ "1 Aquarii\n\n1 Aquarii is a binary star system in the zodiac constellation of Aquarius, about 257 light years away from the Sun. 1 Aquarii is the Flamsteed designation. It is visible to the naked eye as a faint, orange-hued star with an apparent visual magnitude of 5.151, located a degree north of the celestial eq...
1_Aquarii_15614445
What information does the article about '1 Aquarii' provide?
giant star with a stellar classification of K1III. At the age of 1.26 billion years old it is a red clump giant, which indicates it is on the horizontal branch and is generating energy through helium fusion at its core. The star has 1.5 times the mass of the Sun and has expanded to 11 times the Sun's radius. It is radi...
[ "1 Aquarii\n\n1 Aquarii is a binary star system in the zodiac constellation of Aquarius, about 257 light years away from the Sun. 1 Aquarii is the Flamsteed designation. It is visible to the naked eye as a faint, orange-hued star with an apparent visual magnitude of 5.151, located a degree north of the celestial eq...
1_Aquarii_15614446
Based on the article about '1 Aquarii', describe the 'Etymology' section.
1 Aquarii was known to the ancients as al-sa'd al-malik, or "the lucky star of the king." Interpreting the unexpressed Arabic vowels, al-sa'd al-mulk, gives an alternate translation of "the lucky star of the kingdom." In English, the name is Sadalmelik (or Sadalmelek), although rarely used today.
[ "1 Aquarii\n\n1 Aquarii is a binary star system in the zodiac constellation of Aquarius, about 257 light years away from the Sun. 1 Aquarii is the Flamsteed designation. It is visible to the naked eye as a faint, orange-hued star with an apparent visual magnitude of 5.151, located a degree north of the celestial eq...
1_Area_Support_Group_4890440
Summarize the following section from the article on '1 Area Support Group'.
1 Area Support Group was a Canadian Army formation that provided support to other Canadian Army formations and units in western Canada
[ "1 Area Support Group\n\n1 Area Support Group was a Canadian Army formation that provided support to other Canadian Army formations and units in western Canada", "1 Area Support Group β€” Former Constituent bases and units\n\nCanadian Forces Base Shilo, near Brandon, Man. ; Canadian Forces Base Wainwright, located ...
1_Area_Support_Group_4890441
What does the article about '1 Area Support Group' say regarding 'Former Constituent bases and units'?
Canadian Forces Base Shilo, near Brandon, Man. ; Canadian Forces Base Wainwright, located 200 km east of Edmonton, Alberta. ; Canadian Forces Base Suffield, located near Medicine Hat, Alberta. ; Canadian Forces Base Edmonton ; Area Support Unit Calgary ; Area Support Unit Chilliwack ; 1 Area Support Group Headquarters,...
[ "1 Area Support Group\n\n1 Area Support Group was a Canadian Army formation that provided support to other Canadian Army formations and units in western Canada", "1 Area Support Group β€” Former Constituent bases and units\n\nCanadian Forces Base Shilo, near Brandon, Man. ; Canadian Forces Base Wainwright, located ...
1_Area_Support_Group_4890442
Explain what '1 Area Support Group' covers in the 'Restructuring' section.
With the re-organization and re-structuring of the Canadian Army the 1st Area Support Group was merged with Area Support Unit Edmonton to organize the 3rd Canadian Division Support Group.
[ "1 Area Support Group\n\n1 Area Support Group was a Canadian Army formation that provided support to other Canadian Army formations and units in western Canada", "1 Area Support Group β€” Former Constituent bases and units\n\nCanadian Forces Base Shilo, near Brandon, Man. ; Canadian Forces Base Wainwright, located ...
1_BC_30245568
From the article on '1 BC', restate the 'Roman Empire' content.
Gaius Caesar marries Livilla, daughter of Antonia Minor and Nero Claudius Drusus, in an effort to gain prestige. ; The Roman theatre in Cartagena, built by Gaius and Lucius Caesar, finishes construction. ; Aulus Caecina Severus was appointed consul by Emperor Augustus succeeding Cossus Cornelius Lentulus Gaetulicus and...
[ "1 BC β€” Roman Empire\n\nGaius Caesar marries Livilla, daughter of Antonia Minor and Nero Claudius Drusus, in an effort to gain prestige. ; The Roman theatre in Cartagena, built by Gaius and Lucius Caesar, finishes construction. ; Aulus Caecina Severus was appointed consul by Emperor Augustus succeeding Cossus Corne...
1_BC_30245571
Describe the 'Religion' section of the article about '1 BC'.
Estimated birth of Jesus, in the Christian religion, as assigned by Dionysius Exiguus in his Anno Domini era; according to most scholars, Dionysius used the word "incarnation", but it is not known whether he meant conception or birth. However, at least one scholar thinks Dionysius placed the incarnation of Jesus in the...
[ "1 BC β€” Roman Empire\n\nGaius Caesar marries Livilla, daughter of Antonia Minor and Nero Claudius Drusus, in an effort to gain prestige. ; The Roman theatre in Cartagena, built by Gaius and Lucius Caesar, finishes construction. ; Aulus Caecina Severus was appointed consul by Emperor Augustus succeeding Cossus Corne...
1_BC_30245572
What information does the article about '1 BC' provide on 'Deaths'?
August 15 – Ai of Han, Chinese emperor of the Han Dynasty (b. 27 BC) ; Dong Xian, Chinese politician and commander-in-chief (b. 23 BC) ; Xiaoai, Chinese empress and wife of Ai of Han ; Zhao Feiyan, Chinese empress and wife of Cheng of Han (b. 45 BC)
[ "1 BC β€” Roman Empire\n\nGaius Caesar marries Livilla, daughter of Antonia Minor and Nero Claudius Drusus, in an effort to gain prestige. ; The Roman theatre in Cartagena, built by Gaius and Lucius Caesar, finishes construction. ; Aulus Caecina Severus was appointed consul by Emperor Augustus succeeding Cossus Corne...
1_BC_30245566
What information does the article about '1 BC' provide?
Year 1 BC was a common year starting on Friday or Saturday in the Julian calendar (the sources differ; see leap year error for further information) and a leap year starting on Thursday in the Proleptic Julian calendar. It is also a leap year starting on Saturday in the Proleptic Gregorian calendar. At the time, it was ...
[ "1 BC β€” Roman Empire\n\nGaius Caesar marries Livilla, daughter of Antonia Minor and Nero Claudius Drusus, in an effort to gain prestige. ; The Roman theatre in Cartagena, built by Gaius and Lucius Caesar, finishes construction. ; Aulus Caecina Severus was appointed consul by Emperor Augustus succeeding Cossus Corne...
1_BC_30245567
Reconstruct the content about 'Han Dynasty' from the article on '1 BC'.
Emperor Ai of Han dies and is succeeded by his 8-year-old cousin Ping of Han. ; Wang Mang is appointed regent by Grand Empress Dowager Wang Zhengjun, who is his aunt. ; Former regent Dong Xian, who was previously Emperor Ai of Han's lover, commits suicide with his wife.
[ "1 BC β€” Roman Empire\n\nGaius Caesar marries Livilla, daughter of Antonia Minor and Nero Claudius Drusus, in an effort to gain prestige. ; The Roman theatre in Cartagena, built by Gaius and Lucius Caesar, finishes construction. ; Aulus Caecina Severus was appointed consul by Emperor Augustus succeeding Cossus Corne...
1_Billion_Views_5438390
What information does the article about '1 Billion Views' provide on 'Background and release'?
the duo both together and individually were released. On the same day, it was reported that the album features two solo tracks: "Nothin'", sung by Chanyeol and "On Me", sung by Sehun. On July 7, two teaser images of the duo were released. On the same day, "Telephone" featuring 10cm was released digitally along with a m...
[ "1 Billion Views β€” Background and release\n\nthe duo both together and individually were released. On the same day, it was reported that the album features two solo tracks: \"Nothin'\", sung by Chanyeol and \"On Me\", sung by Sehun. On July 7, two teaser images of the duo were released. On the same day, \"Telephone...
1_Billion_Views_5438391
What information does the article about '1 Billion Views' provide on 'Composition and production'?
The album opens with the titular "1 Billion Views", a trendy hip hop song with a funky guitar sound and addictive disco rhythm. Featuring fellow singer Moon, the song finds the duo "wanting to see one's loved one" by playing their video repeatedly. The second track "Say It", featuring Penomeco (who also co-wrote the ly...
[ "1 Billion Views β€” Background and release\n\nthe duo both together and individually were released. On the same day, it was reported that the album features two solo tracks: \"Nothin'\", sung by Chanyeol and \"On Me\", sung by Sehun. On July 7, two teaser images of the duo were released. On the same day, \"Telephone...
1_Billion_Views_5438388
What information does the article about '1 Billion Views' provide?
1 Billion Views is the first studio album by duo Exo-SC, the second official sub-unit of South Korean–Chinese boy group Exo. It was released on July 13, 2020, by SM Entertainment, and features nine tracks. The album debuted at number one on the Gaon Album Chart, and was the duo's first top-ten entry on the Oricon Album...
[ "1 Billion Views β€” Background and release\n\nthe duo both together and individually were released. On the same day, it was reported that the album features two solo tracks: \"Nothin'\", sung by Chanyeol and \"On Me\", sung by Sehun. On July 7, two teaser images of the duo were released. On the same day, \"Telephone...
1_Billion_Views_5438392
What information does the article about '1 Billion Views' provide on 'Composition and production'?
in composing the song, is described as an r&b hip-hop song based on sentimental lyrical band sounds. "Nothin'", Chanyeol's solo song, in which he participated in both writing and composing, is described as a hip hop R&B song with a harmony between the dreamy vibe electric guitar sounds and the heavy beats. The lyrics a...
[ "1 Billion Views β€” Background and release\n\nthe duo both together and individually were released. On the same day, it was reported that the album features two solo tracks: \"Nothin'\", sung by Chanyeol and \"On Me\", sung by Sehun. On July 7, two teaser images of the duo were released. On the same day, \"Telephone...
1_Billion_Views_5438389
From the article on '1 Billion Views', restate the 'Background and release' content.
On June 9, SM confirmed that EXO-SC were preparing to release a new album in July. On June 23, the album's release date and title were announced along with a teaser image of the digital cover. On July 1, a teaser image of the album's track list and schedule was released. On July 2, five teaser images of Chanyeol were r...
[ "1 Billion Views β€” Background and release\n\nthe duo both together and individually were released. On the same day, it was reported that the album features two solo tracks: \"Nothin'\", sung by Chanyeol and \"On Me\", sung by Sehun. On July 7, two teaser images of the duo were released. On the same day, \"Telephone...
1_Bligh_Street_22894726
What information does the article about '1 Bligh Street' provide on 'Design'?
The premium grade office tower was designed by Ingenhoven Architects of Germany and Architectus of Australia. It is an ecologically sustainable development and was awarded six-star green status by the Green Building Council of Australia. Green features include a basement sewage plant that recycles 90 percent of the bui...
[ "1 Bligh Street β€” Design\n\nThe premium grade office tower was designed by Ingenhoven Architects of Germany and Architectus of Australia. It is an ecologically sustainable development and was awarded six-star green status by the Green Building Council of Australia. Green features include a basement sewage plant tha...
1_Bligh_Street_22894727
Summarize the 'Design' part of '1 Bligh Street'.
each office level. The building also houses a childcare centre, two cafΓ©s and a basement car park for 96 cars. The large-scale aluminium sculpture at the top of the curving steps at the entrance on the corner of Bligh and O'Connell streets is by New York-based Australian James Angus. The developers describe it as "a co...
[ "1 Bligh Street β€” Design\n\nThe premium grade office tower was designed by Ingenhoven Architects of Germany and Architectus of Australia. It is an ecologically sustainable development and was awarded six-star green status by the Green Building Council of Australia. Green features include a basement sewage plant tha...
1_Bligh_Street_22894728
Describe the 'Major tenants' section of the article about '1 Bligh Street'.
Bloomberg L.P. ; Clayton Utz ; Office of the Prime Minister of Australia ; Commonwealth Parliament Offices ; Oil Search ; Preqin ; Vault Systems
[ "1 Bligh Street β€” Design\n\nThe premium grade office tower was designed by Ingenhoven Architects of Germany and Architectus of Australia. It is an ecologically sustainable development and was awarded six-star green status by the Green Building Council of Australia. Green features include a basement sewage plant tha...
1_Bridge_Street,_Chester_25060186
Describe the content of the article about '1 Bridge Street, Chester'.
1 Bridge Street, Chester, is located at the junction of Bridge Street and Eastgate Street at Chester Cross in the centre of the city of Chester, Cheshire, England. Its architecture is that of the black-and-white revival, it incorporates part of the Chester Rows, and is recorded in the National Heritage List for England...
[ "1 Bridge Street, Chester\n\n1 Bridge Street, Chester, is located at the junction of Bridge Street and Eastgate Street at Chester Cross in the centre of the city of Chester, Cheshire, England. Its architecture is that of the black-and-white revival, it incorporates part of the Chester Rows, and is recorded in the N...
1_Bridge_Street,_Chester_25060188
From the article on '1 Bridge Street, Chester', restate the 'Architecture' content.
The building is in four storeys, including an undercroft, whose floor is below street level, and an attic. It extends for one bay down Bridge Street and for one bay along Eastgate Street. At its corner is a flight of seven steps leading from the street to the row level above which is an octagonal turret. Above the step...
[ "1 Bridge Street, Chester\n\n1 Bridge Street, Chester, is located at the junction of Bridge Street and Eastgate Street at Chester Cross in the centre of the city of Chester, Cheshire, England. Its architecture is that of the black-and-white revival, it incorporates part of the Chester Rows, and is recorded in the N...
1_Bridge_Street,_Chester_25060187
From the article on '1 Bridge Street, Chester', restate the 'History' content.
The building was designed by Thomas Lockwood, and built in 1888 for the 1st Duke of Westminster, although by 1889 it was owned by Chester City Council. The building is now occupied by shops. The citation in the National Heritage List describes the building as "the best liked of T. M. Lockwood's buildings in Chester, we...
[ "1 Bridge Street, Chester\n\n1 Bridge Street, Chester, is located at the junction of Bridge Street and Eastgate Street at Chester Cross in the centre of the city of Chester, Cheshire, England. Its architecture is that of the black-and-white revival, it incorporates part of the Chester Rows, and is recorded in the N...
1_Cabot_Square_17970385
What information does the article about '1 Cabot Square' provide on 'Ownership'?
In early 2012 it was purchased by Qatar’s sovereign wealth fund Qatar Investment Authority (QIA) Subsequently QIA considered selling it multiple times before eventually selling to KB Securities of South Korea. The building is leased to Credit Suisse for around 20 years and part of Canary Wharf, of which QIA bought a m...
[ "1 Cabot Square β€” Ownership\n\nIn early 2012 it was purchased by Qatar’s sovereign wealth fund Qatar Investment Authority (QIA) Subsequently QIA considered selling it multiple times before eventually selling to KB Securities of South Korea. The building is leased to Credit Suisse for around 20 years and part of Ca...
1_Cabot_Square_17970383
Based on the article about '1 Cabot Square', describe the 'Architect' section.
The architect on the project was Pei Cobb Freed & Partners, and the building was completed in 1991. The project had two management contractors Ellis Don and Sir Robert McAlpine.
[ "1 Cabot Square β€” Ownership\n\nIn early 2012 it was purchased by Qatar’s sovereign wealth fund Qatar Investment Authority (QIA) Subsequently QIA considered selling it multiple times before eventually selling to KB Securities of South Korea. The building is leased to Credit Suisse for around 20 years and part of Ca...
1_Cabot_Square_17970381
What information does the article about '1 Cabot Square' provide?
1 Cabot Square (also known as the Credit Suisse building) is a 21-floor office building occupied by Credit Suisse in Cabot Square, Canary Wharf, London, England.
[ "1 Cabot Square β€” Ownership\n\nIn early 2012 it was purchased by Qatar’s sovereign wealth fund Qatar Investment Authority (QIA) Subsequently QIA considered selling it multiple times before eventually selling to KB Securities of South Korea. The building is leased to Credit Suisse for around 20 years and part of Ca...
1_Cabot_Square_17970382
Based on the article about '1 Cabot Square', describe the 'History of Project' section.
Original plans called for a skyscraper on this site for Credit Suisse First Boston, however the slump at the end of the 1980s saw these plans scaled back.
[ "1 Cabot Square β€” Ownership\n\nIn early 2012 it was purchased by Qatar’s sovereign wealth fund Qatar Investment Authority (QIA) Subsequently QIA considered selling it multiple times before eventually selling to KB Securities of South Korea. The building is leased to Credit Suisse for around 20 years and part of Ca...
1_Canadian_Air_Division_971299
Based on the article about '1 Canadian Air Division', describe the 'Reorganization (1967–1993)' section.
name would be 1 Canadian Air Group (CAG). The close out parade was held at Baden in the arena on June 29, 1970. This was the change date from 4 Wing to 1 CAG. It was also the disbanding date for two of the squadrons. The Group remained until 1988 when Canada increased its commitment to NATO (three squadrons in theatre ...
[ "1 Canadian Air Division β€” Reorganization (1967–1993)\n\nname would be 1 Canadian Air Group (CAG). The close out parade was held at Baden in the arena on June 29, 1970. This was the change date from 4 Wing to 1 CAG. It was also the disbanding date for two of the squadrons. The Group remained until 1988 when Canada ...
1_Canadian_Air_Division_971301
Reconstruct the content about 'Order of battle; 1989' from the article on '1 Canadian Air Division'.
1 Canadian Air Division, CFB Baden–Soellingen, in war under Fourth Allied Tactical Air Force ; 3 Wing CFB Lahr ; 3 Wing Operations ; 3 Communication and Air Traffic Control Squadron ; 416 Tactical Fighter Squadron or 441 Tactical Fighter Squadron from CFB Cold Lake, 18x CF-18 ; 425 Tactical Fighter Squadron or 433 Tact...
[ "1 Canadian Air Division β€” Reorganization (1967–1993)\n\nname would be 1 Canadian Air Group (CAG). The close out parade was held at Baden in the arena on June 29, 1970. This was the change date from 4 Wing to 1 CAG. It was also the disbanding date for two of the squadrons. The Group remained until 1988 when Canada ...
1_Canadian_Air_Division_971295
Summarize the following section from the article on '1 Canadian Air Division'.
1 Canadian Air Division (1 Cdn Air Div) (French: 1re Division aΓ©rienne du Canada) is the operational-level command and control formation of the Royal Canadian Air Force (RCAF). Prior to 2006 the official abbreviation for the division was 1 CAD. It is commanded by an air force major-general.
[ "1 Canadian Air Division β€” Reorganization (1967–1993)\n\nname would be 1 Canadian Air Group (CAG). The close out parade was held at Baden in the arena on June 29, 1970. This was the change date from 4 Wing to 1 CAG. It was also the disbanding date for two of the squadrons. The Group remained until 1988 when Canada ...
1_Canadian_Air_Division_971300
Reconstruct the content about 'Recent history (1997–present)' from the article on '1 Canadian Air Division'.
In the summer of 1997, the functional groups (Air Transport Group, Fighter Group, Maritime Air Group, Air Reserve Group, and 10 Tactical Air Group) were dissolved, and 14 Training Group was absorbed within Air Command Headquarters. 1 Canadian Air Division was stood up in Winnipeg to exercise operational command of all ...
[ "1 Canadian Air Division β€” Reorganization (1967–1993)\n\nname would be 1 Canadian Air Group (CAG). The close out parade was held at Baden in the arena on June 29, 1970. This was the change date from 4 Wing to 1 CAG. It was also the disbanding date for two of the squadrons. The Group remained until 1988 when Canada ...
1_Canadian_Forces_Flying_Training_School_346702
Explain what '1 Canadian Forces Flying Training School' covers in the 'History of advanced pilot training in the RCAF/CAF' section.
Although military pilot training in Canada dates back to the early years of the 20th century, the modern Royal Canadian Air Force (RCAF) pilot training organization got its start in the British Commonwealth Air Training Plan (BCATP) with the formation of service flying training schools one of which, No. 1 Service Flyin...
[ "1 Canadian Forces Flying Training School β€” History of advanced pilot training in the RCAF/CAF\n\nAlthough military pilot training in Canada dates back to the early years of the 20th century, the modern Royal Canadian Air Force (RCAF) pilot training organization got its start in the British Commonwealth Air Trainin...
1_Canadian_Forces_Flying_Training_School_346701
What information does the article about '1 Canadian Forces Flying Training School' provide?
While the lineage of 1 Canadian Forces Flying Training School (1 CFFTS; 1re Γ‰cole de pilotage des Forces canadiennes) can be traced back through previous similarly named Canadian military pilot flying schools, such as No. 1 Service Flying Training School and 1 Flying Training School, the unit located at CFB Winnipeg an...
[ "1 Canadian Forces Flying Training School β€” History of advanced pilot training in the RCAF/CAF\n\nAlthough military pilot training in Canada dates back to the early years of the 20th century, the modern Royal Canadian Air Force (RCAF) pilot training organization got its start in the British Commonwealth Air Trainin...
1_Canadian_Forces_Flying_Training_School_346703
Explain what '1 Canadian Forces Flying Training School' covers in the 'History of advanced pilot training in the RCAF/CAF' section.
on 16 September 1945 at Centralia, Ontario, as a pilot training school which, on July 11, 1952, started training pilots using the deHavilland Chipmunk aircraft. The school trained RCAF and North Atlantic Treaty Organization (NATO) pilots until the school disbanded on March 6, 1957. 1 FTS was reactivated on 31 August 19...
[ "1 Canadian Forces Flying Training School β€” History of advanced pilot training in the RCAF/CAF\n\nAlthough military pilot training in Canada dates back to the early years of the 20th century, the modern Royal Canadian Air Force (RCAF) pilot training organization got its start in the British Commonwealth Air Trainin...
1_Canadian_Forces_Flying_Training_School_346705
Explain what '1 Canadian Forces Flying Training School' covers in the 'Current use of the name 1 CFFTS' section.
On 26 June 2009, the Canadian Forces Air Navigation School adopted the name of 1 CFFTS. 1 CFFTS currently trains air combat systems officers (previously called navigators) and airborne electronic sensor operators. In the past, other aircrew trades used No. 1 in their school names, but these school names were distinguis...
[ "1 Canadian Forces Flying Training School β€” History of advanced pilot training in the RCAF/CAF\n\nAlthough military pilot training in Canada dates back to the early years of the 20th century, the modern Royal Canadian Air Force (RCAF) pilot training organization got its start in the British Commonwealth Air Trainin...
1_Canadian_Mechanized_Brigade_Group_18152019
What information does the article about '1 Canadian Mechanized Brigade Group' provide?
1 Canadian Mechanized Brigade Group (1 CMBG; French: 1er Groupe-brigade mΓ©canisΓ© du Canada, 1 GBMC) is a Canadian Forces brigade group that is part of the 3rd Canadian Division of the Canadian Army. Originally headquartered at CFB Calgary, it is currently based in CFB Edmonton in Alberta with two major units at CFB Shi...
[ "1 Canadian Mechanized Brigade Group\n\n1 Canadian Mechanized Brigade Group (1 CMBG; French: 1er Groupe-brigade mΓ©canisΓ© du Canada, 1 GBMC) is a Canadian Forces brigade group that is part of the 3rd Canadian Division of the Canadian Army. Originally headquartered at CFB Calgary, it is currently based in CFB Edmonto...
1_Canadian_Mechanized_Brigade_Group_18152021
Explain what '1 Canadian Mechanized Brigade Group' covers in the 'Composition' section.
The eight units that comprise 1 CMBG are: 1 CMBG is colocated with and frequently operates along side three regular force units which are not part of the formation:
[ "1 Canadian Mechanized Brigade Group\n\n1 Canadian Mechanized Brigade Group (1 CMBG; French: 1er Groupe-brigade mΓ©canisΓ© du Canada, 1 GBMC) is a Canadian Forces brigade group that is part of the 3rd Canadian Division of the Canadian Army. Originally headquartered at CFB Calgary, it is currently based in CFB Edmonto...
1_Canadian_Mechanized_Brigade_Group_18152020
What information does the article about '1 Canadian Mechanized Brigade Group' provide on 'History'?
1st Canadian Infantry Brigade created 14 October 1953 ; Redesignated 1st Canadian Infantry Brigade Group in October 1955 ; Redesignated 1 Combat Group in 1972 ; Redesignated 1 Canadian Brigade Group in 1976 ; Redesignated 1 Canadian Mechanized Brigade Group in 1992 Headquarters at Calgary ; Lord Strathcona's Horse (Roy...
[ "1 Canadian Mechanized Brigade Group\n\n1 Canadian Mechanized Brigade Group (1 CMBG; French: 1er Groupe-brigade mΓ©canisΓ© du Canada, 1 GBMC) is a Canadian Forces brigade group that is part of the 3rd Canadian Division of the Canadian Army. Originally headquartered at CFB Calgary, it is currently based in CFB Edmonto...
1_Canadian_Mechanized_Brigade_Group_Headquarters_and_Signal_Squadron_21897266
Summarize the 'Regimental Sergeants Major' part of '1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron'.
WO2 S. Reading, 1958 – 1959 ; WO2 G.E. Wilson, 1959–1960 ; WO2 K.F. NcKnight, 1960 – 1961 ; WO2 W. Shannon, 1961 – 1963 ; WO2 J.M. Blair, 1963 – 1965 ; WO2 E.G. Chartrand, 1965 – 1967 ; MWO B. Murphy, 1967–1969 ; MWO Clark, 1969 – 1972 ; MWO H. Searls, 1972–1975 ; CWO B. Janik, June 1975 – June 1978 ; CWO W. Kiely, Jun...
[ "1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron β€” Regimental Sergeants Major\n\nWO2 S. Reading, 1958 – 1959 ; WO2 G.E. Wilson, 1959–1960 ; WO2 K.F. NcKnight, 1960 – 1961 ; WO2 W. Shannon, 1961 – 1963 ; WO2 J.M. Blair, 1963 – 1965 ; WO2 E.G. Chartrand, 1965 – 1967 ; MWO B. Murphy, 1967–1969 ; M...
1_Canadian_Mechanized_Brigade_Group_Headquarters_and_Signal_Squadron_21897262
Describe the content of the article about '1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron'.
1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron is a Regular Force Army unit of the Canadian Armed Forces at CFB Edmonton. The Squadron is part of 3rd Canadian Division's 1 Canadian Mechanized Brigade Group (1 CMBG).
[ "1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron β€” Regimental Sergeants Major\n\nWO2 S. Reading, 1958 – 1959 ; WO2 G.E. Wilson, 1959–1960 ; WO2 K.F. NcKnight, 1960 – 1961 ; WO2 W. Shannon, 1961 – 1963 ; WO2 J.M. Blair, 1963 – 1965 ; WO2 E.G. Chartrand, 1965 – 1967 ; MWO B. Murphy, 1967–1969 ; M...
1_Canadian_Mechanized_Brigade_Group_Headquarters_and_Signal_Squadron_21897267
From the article on '1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron', restate the 'Regimental Sergeants Major' content.
; MWO A.H. Whittal, March 1997 – August 1997 ; CWO H.D. Elhorn, August 1997 – February 2000 ; MWO R.F. Phillips, February 2000 – June 2000 ; CWO J.M. Laviolette, June 2000 – July 2003 ; CWO V.W. Kelley, June 2003 – February 2005 ; CWO A.O. Lopes, February 2005 – April 2006 ; CWO R.J. Richard, January 2006 – November 20...
[ "1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron β€” Regimental Sergeants Major\n\nWO2 S. Reading, 1958 – 1959 ; WO2 G.E. Wilson, 1959–1960 ; WO2 K.F. NcKnight, 1960 – 1961 ; WO2 W. Shannon, 1961 – 1963 ; WO2 J.M. Blair, 1963 – 1965 ; WO2 E.G. Chartrand, 1965 – 1967 ; MWO B. Murphy, 1967–1969 ; M...
1_Canadian_Mechanized_Brigade_Group_Headquarters_and_Signal_Squadron_21897265
Explain what '1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron' covers in the 'Commanding officers' section.
1988 – July 1990 ; Major R.W. Wright, July 1990 – July 1992 ; Major R.C. Johnston, July 1992 – July 1994 ; Major A.A. McPhee, July 1994 – July 1997 ; Major B.K. Green, July 1997 – July 1998 ; Major S.W. Hall, July 1998 – February 2000 ; Major R.T. Williams, February 2000 – July 2000 ; Major P.R. BossΓ©, July 2000 – July...
[ "1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron β€” Regimental Sergeants Major\n\nWO2 S. Reading, 1958 – 1959 ; WO2 G.E. Wilson, 1959–1960 ; WO2 K.F. NcKnight, 1960 – 1961 ; WO2 W. Shannon, 1961 – 1963 ; WO2 J.M. Blair, 1963 – 1965 ; WO2 E.G. Chartrand, 1965 – 1967 ; MWO B. Murphy, 1967–1969 ; M...
1_Canadian_Mechanized_Brigade_Group_Headquarters_and_Signal_Squadron_21897264
What does the article about '1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron' say regarding 'Commanding officers'?
Major A.P. Cote, May 1958 – July 1959 ; Major E.G. Coombe, July 1959 – June 1962 ; Major D.C. Coughtry, June 1962 – August 1964 ; Major B.H. Bennett, August 1964 – May 1965 ; Major P.H. Sutton, January 1966 – July 1967 ; Major J.D.B. Kent, July 1967 – March 1969 ; Captain J.H. Racine, March 1969 – July 1969 ; Major G.L...
[ "1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron β€” Regimental Sergeants Major\n\nWO2 S. Reading, 1958 – 1959 ; WO2 G.E. Wilson, 1959–1960 ; WO2 K.F. NcKnight, 1960 – 1961 ; WO2 W. Shannon, 1961 – 1963 ; WO2 J.M. Blair, 1963 – 1965 ; WO2 E.G. Chartrand, 1965 – 1967 ; MWO B. Murphy, 1967–1969 ; M...
1_Canadian_Mechanized_Brigade_Group_Headquarters_and_Signal_Squadron_21897263
What information does the article about '1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron' provide on 'History'?
1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron traces its heritage back to the formation of the Royal Canadian Corps of Signals on 24 Oct 1903. Before the end of the Second World War, small signal sections provided tactical communications for the Canadian Army's various Brigade Headquarters. After...
[ "1 Canadian Mechanized Brigade Group Headquarters and Signal Squadron β€” Regimental Sergeants Major\n\nWO2 S. Reading, 1958 – 1959 ; WO2 G.E. Wilson, 1959–1960 ; WO2 K.F. NcKnight, 1960 – 1961 ; WO2 W. Shannon, 1961 – 1963 ; WO2 J.M. Blair, 1963 – 1965 ; WO2 E.G. Chartrand, 1965 – 1967 ; MWO B. Murphy, 1967–1969 ; M...
1_Canadian_Ranger_Patrol_Group_23673436
What information does the article about '1 Canadian Ranger Patrol Group' provide on 'Activities'?
As of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and run 8000 km (5000 mi) east to west. The members of 1...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Canadian_Ranger_Patrol_Group_23673431
Reconstruct the content from the article about '1 Canadian Ranger Patrol Group'.
No. 1 Canadian Ranger Patrol Group is a patrol group of the Canadian Rangers. The Rangers have provided a visible military presence in isolated, coastal and northern communities for over 65 years and continue to serve as the military's "eyes, ears and voice" of the North. 1 CRPG's motto "Vigilans," which translated mea...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Canadian_Ranger_Patrol_Group_23673441
Reconstruct the content about 'Training' from the article on '1 Canadian Ranger Patrol Group'.
b. in-service weapons; c. guiding or scouting; d. navigation using map and compass, as well as GPS; e. traditional and survival skills; f. operations in support of Regular Force units; g. basic military drill; h surveillance; i. search and rescue; j. North Warning System patrolling; and k. patrol leadership and adminis...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Canadian_Ranger_Patrol_Group_23673440
Describe the 'Training' section of the article about '1 Canadian Ranger Patrol Group'.
Canadian Rangers undergo six days of basic training upon enrollment. In all territories, the objective is for all patrols to conduct an annual refresher training patrol which consists of up to 10 days classroom and training on the land. The Ranger concept takes advantage of the Northerners special skills. The CAF relie...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Canadian_Ranger_Patrol_Group_23673434
From the article on '1 Canadian Ranger Patrol Group', restate the 'History' content.
high arctic along with instructions to report any unusual activity in their areas. By the late 1950s Ranger Platoons and Companies had been established throughout the North. Over the years, there have been several organizational accommodations to decentralize command and control of the Rangers. This culminated in Novem...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Canadian_Ranger_Patrol_Group_23673439
From the article on '1 Canadian Ranger Patrol Group', restate the 'Activities' content.
their uniform that consist of red sweatshirt with the Ranger crest, red baseball cap, camouflage pants, boots, and Lee-Enfield .303 caliber rifle. Canadian Rangers are also provided up to 100 rounds of ammunition per Ranger per year. The Junior Canadian Rangers, the largest youth program in the North, are an integral p...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Canadian_Ranger_Patrol_Group_23673438
From the article on '1 Canadian Ranger Patrol Group', restate the 'Activities' content.
range in size from 12 to 60 Rangers. The majority of the Canadian Rangers are Aboriginal. Many are unilingual in their native language; however there are always enough English-speaking Canadian Rangers to translate conversations. Enrollment in the Canadian Rangers is open to both males and females over the age of 18. P...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Canadian_Ranger_Patrol_Group_23673437
Based on the article about '1 Canadian Ranger Patrol Group', describe the 'Activities' section.
Columbia. Most of the patrols in the NWT and Nunavut can only be reached by air. Commercial airlines, charter or Twin Otter aircraft of 440 Transport Squadron facilitate travel to these isolated patrols. The exceptions to this situation are the NWT patrols of BehchokΗ«Μ€, Fort Simpson, Fort Resolution, and Fort Smith; th...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Canadian_Ranger_Patrol_Group_23673432
What does the article about '1 Canadian Ranger Patrol Group' say regarding 'History'?
No. 1 Canadian Ranger Patrol Group (1 CRPG) traces its origin to the Pacific Coast Militia Rangers (PCMR), formed as coast watchers in 1942 and stood down at the end of the Second World War. Soon after the war ended, senior defence officials decided that the Ranger concept was still valid and decided to expand it to in...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Canadian_Ranger_Patrol_Group_23673435
Summarize the '1 CRPG Headquarters' part of '1 Canadian Ranger Patrol Group'.
1 CRPG is a unique Army unit due to its large area of responsibility (AOR), diversity, culture, size (largest military unit in Canada), mandate, and command relationships. It is under direct command (OPCOM) of 3rd Canadian Division but is under Operational Control (OPCON) to Joint Task Force (North) for Force Employmen...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Canadian_Ranger_Patrol_Group_23673433
Describe the 'History' section of the article about '1 Canadian Ranger Patrol Group'.
Ranger (CR) patrol was stood up in Dawson on September 22, 1947. The second CR patrol was stood up in Whitehorse soon thereafter. The role of the CRs, as stated in 1947, was to provide a military presence in those sparsely settled northern, coastal and isolated areas of Canada which cannot conveniently or economically ...
[ "1 Canadian Ranger Patrol Group β€” Activities\n\nAs of January 2016, 1 CRPG has over 2200 Rangers in 60 patrols across the three Territories and Atlin, BC. Its area of responsibility encompasses approximately four million square kilometers (40 per cent) of Canada's land mass, 75 per cent of its coastal regions, and ...
1_Chor_2_Mastikhor_13785301
Describe the 'Cast' section of the article about '1 Chor 2 Mastikhor'.
Prabhakar Sharan as Leo ; Nancy Doubles as Ana ; Mario ChacΓ³n as Chino ; JosΓ© Castro as Mario ; Scott Steiner as Boss
[ "1 Chor 2 Mastikhor β€” Cast\n\nPrabhakar Sharan as Leo ; Nancy Doubles as Ana ; Mario ChacΓ³n as Chino ; JosΓ© Castro as Mario ; Scott Steiner as Boss", "1 Chor 2 Mastikhor β€” Plot\n\nLeo, played by Sharan, is in a deep dilemma to choose between love and money. The movie focuses on a robbery takes a U-turn after an a...
1_Chor_2_Mastikhor_13785300
Explain what '1 Chor 2 Mastikhor' covers in the 'Plot' section.
Leo, played by Sharan, is in a deep dilemma to choose between love and money. The movie focuses on a robbery takes a U-turn after an accident after which Leo chooses love over money.
[ "1 Chor 2 Mastikhor β€” Cast\n\nPrabhakar Sharan as Leo ; Nancy Doubles as Ana ; Mario ChacΓ³n as Chino ; JosΓ© Castro as Mario ; Scott Steiner as Boss", "1 Chor 2 Mastikhor β€” Plot\n\nLeo, played by Sharan, is in a deep dilemma to choose between love and money. The movie focuses on a robbery takes a U-turn after an a...
1_Chor_2_Mastikhor_13785299
Reconstruct the content from the article about '1 Chor 2 Mastikhor'.
1 Chor 2 Mastikhor, is a 2017 Indian-Costa Rican comedy-drama film directed by Prabhakar Sharan and produced under the banner of Pacific Investment Corporation. The film stars Nancy Dobles, Prabhakar Sharan, Mario ChacΓ³n, JosΓ© Castro and Scott Steiner. The movie was released on 15 December 2017. The film was filmed in ...
[ "1 Chor 2 Mastikhor β€” Cast\n\nPrabhakar Sharan as Leo ; Nancy Doubles as Ana ; Mario ChacΓ³n as Chino ; JosΓ© Castro as Mario ; Scott Steiner as Boss", "1 Chor 2 Mastikhor β€” Plot\n\nLeo, played by Sharan, is in a deep dilemma to choose between love and money. The movie focuses on a robbery takes a U-turn after an a...
1_Chronicles_1_2676929
Summarize the 'Verse 1' part of '1 Chronicles 1'.
Adam, Seth, Enosh; Noah was the immediate descendant of Seth, so it is not necessary to mention Cain and Abel, or any of the other sons of Adam.
[ "1 Chronicles 1 β€” Verse 1\n\nAdam, Seth, Enosh; Noah was the immediate descendant of Seth, so it is not necessary to mention Cain and Abel, or any of the other sons of Adam.", "1 Chronicles 1 β€” Textual witnesses\n\nSome early manuscripts containing the text of this chapter in Hebrew are of the Masoretic Text trad...
1_Chronicles_1_2676927
What does the article about '1 Chronicles 1' say regarding 'Textual witnesses'?
Some early manuscripts containing the text of this chapter in Hebrew are of the Masoretic Text tradition, which includes the Aleppo Codex (10th century), and Codex Leningradensis (1008). There is also a translation into Koine Greek known as the Septuagint, made in the last few centuries BCE. Extant ancient manuscripts ...
[ "1 Chronicles 1 β€” Verse 1\n\nAdam, Seth, Enosh; Noah was the immediate descendant of Seth, so it is not necessary to mention Cain and Abel, or any of the other sons of Adam.", "1 Chronicles 1 β€” Textual witnesses\n\nSome early manuscripts containing the text of this chapter in Hebrew are of the Masoretic Text trad...
1_Chronicles_1_2676932
Explain what '1 Chronicles 1' covers in the 'The descendants of Abraham (1:28–54)' section.
This section focuses on the offsprings of Abraham (but none of his brothers'). Verses 32–40 lists Abraham's sons other than Isaac and Ishmael with the direct connection to verse 28 and has been more extensively reworked than other genealogies in this chapter, whereas verses 43–54 contain an extensive reworking of Genes...
[ "1 Chronicles 1 β€” Verse 1\n\nAdam, Seth, Enosh; Noah was the immediate descendant of Seth, so it is not necessary to mention Cain and Abel, or any of the other sons of Adam.", "1 Chronicles 1 β€” Textual witnesses\n\nSome early manuscripts containing the text of this chapter in Hebrew are of the Masoretic Text trad...
1_Chronicles_1_2676928
What does the article about '1 Chronicles 1' say regarding 'From Adam to Abraham (1:1–27)'?
The list of names is taken exclusively from the Book of Genesis and reduced to a 'skeletal framework', with some omissions of those 'whose lines ended with their deaths', such as Cain's descendants and Abraham's brothers. It links the origin of Israel to the origin of all people – Abraham's ancestry in Adam and Noah's ...
[ "1 Chronicles 1 β€” Verse 1\n\nAdam, Seth, Enosh; Noah was the immediate descendant of Seth, so it is not necessary to mention Cain and Abel, or any of the other sons of Adam.", "1 Chronicles 1 β€” Textual witnesses\n\nSome early manuscripts containing the text of this chapter in Hebrew are of the Masoretic Text trad...
1_Chronicles_1_2676925
Summarize the following section from the article on '1 Chronicles 1'.
1 Chronicles 1 is the first chapter of the Books of Chronicles in the Hebrew Bible or the First Book of Chronicles in the Old Testament of the Christian Bible. The book is compiled from older sources by an unknown person or group, designated by modern scholars as "the Chronicler", and had the final shape established in...
[ "1 Chronicles 1 β€” Verse 1\n\nAdam, Seth, Enosh; Noah was the immediate descendant of Seth, so it is not necessary to mention Cain and Abel, or any of the other sons of Adam.", "1 Chronicles 1 β€” Textual witnesses\n\nSome early manuscripts containing the text of this chapter in Hebrew are of the Masoretic Text trad...
1_Chronicles_1_2676930
Reconstruct the content about 'Verse 4' from the article on '1 Chronicles 1'.
Noah, Shem, Ham, and Japheth. ; "Shem, Ham, and Japheth": these are the sons of Noah, and not successive generations, as can be read in the Book of Genesis (Genesis 5–10), which is apparently a source for the Books of Chronicles. These names are listed this way in Masoretic Text and Latin Vulgate, whereas the Greek Sep...
[ "1 Chronicles 1 β€” Verse 1\n\nAdam, Seth, Enosh; Noah was the immediate descendant of Seth, so it is not necessary to mention Cain and Abel, or any of the other sons of Adam.", "1 Chronicles 1 β€” Textual witnesses\n\nSome early manuscripts containing the text of this chapter in Hebrew are of the Masoretic Text trad...