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gem-squad_v2-train-111100
5a81f74231013a001a334fee
Group_(mathematics)
A group is called finite if it has a finite number of elements. The number of elements is called the order of the group. An important class is the symmetric groups SN, the groups of permutations of N letters. For example, the symmetric group on 3 letters S3 is the group consisting of all possible orderings of the three...
What does a finite number of elements include?
What does a finite number of elements include?
[ "What does a finite number of elements include?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111101
5a81f74231013a001a334fef
Group_(mathematics)
A group is called finite if it has a finite number of elements. The number of elements is called the order of the group. An important class is the symmetric groups SN, the groups of permutations of N letters. For example, the symmetric group on 3 letters S3 is the group consisting of all possible orderings of the three...
What can a subgroup of a symmetric group SN can be expressed as?
What can a subgroup of a symmetric group SN can be expressed as?
[ "What can a subgroup of a symmetric group SN can be expressed as?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111102
5a81f74231013a001a334ff0
Group_(mathematics)
A group is called finite if it has a finite number of elements. The number of elements is called the order of the group. An important class is the symmetric groups SN, the groups of permutations of N letters. For example, the symmetric group on 3 letters S3 is the group consisting of all possible orderings of the three...
What are the group of symmetries of a S3?
What are the group of symmetries of a S3?
[ "What are the group of symmetries of a S3?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111103
57283ac63acd2414000df75f
Group_(mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be sh...
What level of finality do mathematicians try to reach with math concepts?
What level of finality do mathematicians try to reach with math concepts?
[ "What level of finality do mathematicians try to reach with math concepts? " ]
{ "text": [ "complete classification" ], "answer_start": [ 34 ] }
gem-squad_v2-train-111104
57283ac63acd2414000df760
Group_(mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be sh...
What area of classification leads to troublesome arithmetic?
What area of classification leads to troublesome arithmetic?
[ "What area of classification leads to troublesome arithmetic?" ]
{ "text": [ "finite groups" ], "answer_start": [ 112 ] }
gem-squad_v2-train-111105
57283ac63acd2414000df761
Group_(mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be sh...
What defines finite groups of order p, a prime number, as being necessarily cyclic (abelian) groups Zp?
What defines finite groups of order p, a prime number, as being necessarily cyclic (abelian) groups Zp?
[ "What defines finite groups of order p, a prime number, as being necessarily cyclic (abelian) groups Zp?" ]
{ "text": [ "Lagrange's theorem" ], "answer_start": [ 181 ] }
gem-squad_v2-train-111106
57283ac63acd2414000df762
Group_(mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be sh...
What can be used to classify small groups even though there is no classification of all finite groups?
What can be used to classify small groups even though there is no classification of all finite groups?
[ "What can be used to classify small groups even though there is no classification of all finite groups?" ]
{ "text": [ "Computer algebra systems" ], "answer_start": [ 447 ] }
gem-squad_v2-train-111107
57283ac63acd2414000df763
Group_(mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be sh...
What describes finite simple groups as the building pieces for all finite groups?
What describes finite simple groups as the building pieces for all finite groups?
[ "What describes finite simple groups as the building pieces for all finite groups?" ]
{ "text": [ "The Jordan–Hölder theorem" ], "answer_start": [ 748 ] }
gem-squad_v2-train-111108
5a81fab831013a001a335037
Group_(mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be sh...
Both p2 and p3 are what?
Both p2 and p3 are what?
[ "Both p2 and p3 are what?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111109
5a81fab831013a001a335038
Group_(mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be sh...
What is used to classify all finite groups?
What is used to classify all finite groups?
[ "What is used to classify all finite groups?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111110
5a81fab831013a001a335039
Group_(mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be sh...
When was the Jordan-Holder theorem published?
When was the Jordan-Holder theorem published?
[ "When was the Jordan-Holder theorem published?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111111
5a81fab831013a001a33503a
Group_(mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be sh...
What did Richard Borcherd make a complete classification of?
What did Richard Borcherd make a complete classification of?
[ "What did Richard Borcherd make a complete classification of?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111112
5a81fab831013a001a33503b
Group_(mathematics)
Mathematicians often strive for a complete classification (or list) of a mathematical notion. In the context of finite groups, this aim leads to difficult mathematics. According to Lagrange's theorem, finite groups of order p, a prime number, are necessarily cyclic (abelian) groups Zp. Groups of order p2 can also be sh...
What theorem details the link between the largest finite group and modular functions?
What theorem details the link between the largest finite group and modular functions?
[ "What theorem details the link between the largest finite group and modular functions?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111113
57283bec2ca10214002da13c
Group_(mathematics)
Some topological spaces may be endowed with a group law. In order for the group law and the topology to interweave well, the group operations must be continuous functions, that is, g • h, and g−1 must not vary wildly if g and h vary only little. Such groups are called topological groups, and they are the group objects ...
What group operations must occur for group law and topology to integrate well?
What group operations must occur for group law and topology to integrate well?
[ "What group operations must occur for group law and topology to integrate well?" ]
{ "text": [ "continuous functions" ], "answer_start": [ 150 ] }
gem-squad_v2-train-111114
57283bec2ca10214002da13d
Group_(mathematics)
Some topological spaces may be endowed with a group law. In order for the group law and the topology to interweave well, the group operations must be continuous functions, that is, g • h, and g−1 must not vary wildly if g and h vary only little. Such groups are called topological groups, and they are the group objects ...
What is the most simple example of topological groups?
What is the most simple example of topological groups?
[ "What is the most simple example of topological groups?" ]
{ "text": [ "reals R under addition, (R ∖ {0}, ·)," ], "answer_start": [ 391 ] }
gem-squad_v2-train-111115
57283bec2ca10214002da13e
Group_(mathematics)
Some topological spaces may be endowed with a group law. In order for the group law and the topology to interweave well, the group operations must be continuous functions, that is, g • h, and g−1 must not vary wildly if g and h vary only little. Such groups are called topological groups, and they are the group objects ...
What variables do locally compact groups share that can be studied by harmonic analysis?
What variables do locally compact groups share that can be studied by harmonic analysis?
[ "What variables do locally compact groups share that can be studied by harmonic analysis?" ]
{ "text": [ "Haar measures" ], "answer_start": [ 577 ] }
gem-squad_v2-train-111116
5a81fbf231013a001a335041
Group_(mathematics)
Some topological spaces may be endowed with a group law. In order for the group law and the topology to interweave well, the group operations must be continuous functions, that is, g • h, and g−1 must not vary wildly if g and h vary only little. Such groups are called topological groups, and they are the group objects ...
What allows group law and group operations to interweave?
What allows group law and group operations to interweave?
[ "What allows group law and group operations to interweave?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111117
5a81fbf231013a001a335042
Group_(mathematics)
Some topological spaces may be endowed with a group law. In order for the group law and the topology to interweave well, the group operations must be continuous functions, that is, g • h, and g−1 must not vary wildly if g and h vary only little. Such groups are called topological groups, and they are the group objects ...
What is group law endowed with?
What is group law endowed with?
[ "What is group law endowed with?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111118
5a81fbf231013a001a335043
Group_(mathematics)
Some topological spaces may be endowed with a group law. In order for the group law and the topology to interweave well, the group operations must be continuous functions, that is, g • h, and g−1 must not vary wildly if g and h vary only little. Such groups are called topological groups, and they are the group objects ...
What are harmonic analyses studied using?
What are harmonic analyses studied using?
[ "What are harmonic analyses studied using?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111119
5a81fbf231013a001a335044
Group_(mathematics)
Some topological spaces may be endowed with a group law. In order for the group law and the topology to interweave well, the group operations must be continuous functions, that is, g • h, and g−1 must not vary wildly if g and h vary only little. Such groups are called topological groups, and they are the group objects ...
What are topological spaces categorized by?
What are topological spaces categorized by?
[ "What are topological spaces categorized by?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111120
5a81fbf231013a001a335045
Group_(mathematics)
Some topological spaces may be endowed with a group law. In order for the group law and the topology to interweave well, the group operations must be continuous functions, that is, g • h, and g−1 must not vary wildly if g and h vary only little. Such groups are called topological groups, and they are the group objects ...
How are groups that are not locally compact studied?
How are groups that are not locally compact studied?
[ "How are groups that are not locally compact studied?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111121
57283d5cff5b5019007d9fb4
Group_(mathematics)
for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is c...
What concepts are fundamental to number theory?
What concepts are fundamental to number theory?
[ "What concepts are fundamental to number theory?" ]
{ "text": [ "adele rings and adelic algebraic groups" ], "answer_start": [ 82 ] }
gem-squad_v2-train-111122
57283d5cff5b5019007d9fb5
Group_(mathematics)
for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is c...
What group uses infinite field extensions with topology?
What group uses infinite field extensions with topology?
[ "What group uses infinite field extensions with topology?" ]
{ "text": [ "the absolute Galois group" ], "answer_start": [ 208 ] }
gem-squad_v2-train-111123
57283d5cff5b5019007d9fb6
Group_(mathematics)
for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is c...
What is used to generalize the connection of fields and groups to infinite field extensions?
What is used to generalize the connection of fields and groups to infinite field extensions?
[ "What is used to generalize the connection of fields and groups to infinite field extensions?" ]
{ "text": [ "Krull topology" ], "answer_start": [ 286 ] }
gem-squad_v2-train-111124
57283d5cff5b5019007d9fb7
Group_(mathematics)
for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is c...
What group is an advanced observation of infinite field extensions and groups that is adapted for the needs of algebraic geometry?
What group is an advanced observation of infinite field extensions and groups that is adapted for the needs of algebraic geometry?
[ "What group is an advanced observation of infinite field extensions and groups that is adapted for the needs of algebraic geometry?" ]
{ "text": [ "the étale fundamental group" ], "answer_start": [ 510 ] }
gem-squad_v2-train-111125
5a81fdc831013a001a33505f
Group_(mathematics)
for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is c...
What is basic to adele rings?
What is basic to adele rings?
[ "What is basic to adele rings?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111126
5a81fdc831013a001a335060
Group_(mathematics)
for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is c...
Which Galois group does not use topology?
Which Galois group does not use topology?
[ "Which Galois group does not use topology?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111127
5a81fdc831013a001a335061
Group_(mathematics)
for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is c...
What form of topology do Matrix groups use?
What form of topology do Matrix groups use?
[ "What form of topology do Matrix groups use?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111128
5a81fdc831013a001a335062
Group_(mathematics)
for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is c...
The Galois group is adapted to the needs of what form of geometry?
The Galois group is adapted to the needs of what form of geometry?
[ "The Galois group is adapted to the needs of what form of geometry?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111129
5a81fdc831013a001a335063
Group_(mathematics)
for any constant c. Matrix groups over these fields fall under this regime, as do adele rings and adelic algebraic groups, which are basic to number theory. Galois groups of infinite field extensions such as the absolute Galois group can also be equipped with a topology, the so-called Krull topology, which in turn is c...
What is algebraic geometry adapted to the needs of?
What is algebraic geometry adapted to the needs of?
[ "What is algebraic geometry adapted to the needs of?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111130
57283e51ff5b5019007d9fd8
Group_(mathematics)
Lie groups are of fundamental importance in modern physics: Noether's theorem links continuous symmetries to conserved quantities. Rotation, as well as translations in space and time are basic symmetries of the laws of mechanics. They can, for instance, be used to construct simple models—imposing, say, axial symmetry o...
What concept is of basic importance in modern physics?
What concept is of basic importance in modern physics?
[ "What concept is of basic importance in modern physics?" ]
{ "text": [ "Lie groups" ], "answer_start": [ 0 ] }
gem-squad_v2-train-111131
57283e51ff5b5019007d9fd9
Group_(mathematics)
Lie groups are of fundamental importance in modern physics: Noether's theorem links continuous symmetries to conserved quantities. Rotation, as well as translations in space and time are basic symmetries of the laws of mechanics. They can, for instance, be used to construct simple models—imposing, say, axial symmetry o...
What connects continuous symmetries to conserved quantities?
What connects continuous symmetries to conserved quantities?
[ "What connects continuous symmetries to conserved quantities?" ]
{ "text": [ "Noether's theorem" ], "answer_start": [ 60 ] }
gem-squad_v2-train-111132
57283e51ff5b5019007d9fda
Group_(mathematics)
Lie groups are of fundamental importance in modern physics: Noether's theorem links continuous symmetries to conserved quantities. Rotation, as well as translations in space and time are basic symmetries of the laws of mechanics. They can, for instance, be used to construct simple models—imposing, say, axial symmetry o...
What term describes the basic symmetries of the laws of mechanics?
What term describes the basic symmetries of the laws of mechanics?
[ "What term describes the basic symmetries of the laws of mechanics?" ]
{ "text": [ "Rotation" ], "answer_start": [ 131 ] }
gem-squad_v2-train-111133
57283e51ff5b5019007d9fdb
Group_(mathematics)
Lie groups are of fundamental importance in modern physics: Noether's theorem links continuous symmetries to conserved quantities. Rotation, as well as translations in space and time are basic symmetries of the laws of mechanics. They can, for instance, be used to construct simple models—imposing, say, axial symmetry o...
What concept relates measurements of time and velocity of two observers in motion relative to each other?
What concept relates measurements of time and velocity of two observers in motion relative to each other?
[ "What concept relates measurements of time and velocity of two observers in motion relative to each other?" ]
{ "text": [ "Lorentz transformations" ], "answer_start": [ 483 ] }
gem-squad_v2-train-111134
57283e51ff5b5019007d9fdc
Group_(mathematics)
Lie groups are of fundamental importance in modern physics: Noether's theorem links continuous symmetries to conserved quantities. Rotation, as well as translations in space and time are basic symmetries of the laws of mechanics. They can, for instance, be used to construct simple models—imposing, say, axial symmetry o...
What describe the complete symmetry group of Minkowski space including translations?
What describe the complete symmetry group of Minkowski space including translations?
[ "What describe the complete symmetry group of Minkowski space including translations?" ]
{ "text": [ "Poincaré group" ], "answer_start": [ 937 ] }
gem-squad_v2-train-111135
5a81feb231013a001a33507b
Group_(mathematics)
Lie groups are of fundamental importance in modern physics: Noether's theorem links continuous symmetries to conserved quantities. Rotation, as well as translations in space and time are basic symmetries of the laws of mechanics. They can, for instance, be used to construct simple models—imposing, say, axial symmetry o...
What is important to Lie groups?
What is important to Lie groups?
[ "What is important to Lie groups?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111136
5a81feb231013a001a33507c
Group_(mathematics)
Lie groups are of fundamental importance in modern physics: Noether's theorem links continuous symmetries to conserved quantities. Rotation, as well as translations in space and time are basic symmetries of the laws of mechanics. They can, for instance, be used to construct simple models—imposing, say, axial symmetry o...
What connects Lie groups with conserved quantities?
What connects Lie groups with conserved quantities?
[ "What connects Lie groups with conserved quantities?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111137
5a81feb231013a001a33507d
Group_(mathematics)
Lie groups are of fundamental importance in modern physics: Noether's theorem links continuous symmetries to conserved quantities. Rotation, as well as translations in space and time are basic symmetries of the laws of mechanics. They can, for instance, be used to construct simple models—imposing, say, axial symmetry o...
What are basic laws of mechanics?
What are basic laws of mechanics?
[ "What are basic laws of mechanics?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111138
5a81feb231013a001a33507e
Group_(mathematics)
Lie groups are of fundamental importance in modern physics: Noether's theorem links continuous symmetries to conserved quantities. Rotation, as well as translations in space and time are basic symmetries of the laws of mechanics. They can, for instance, be used to construct simple models—imposing, say, axial symmetry o...
What measures the time and velocity of two observers?
What measures the time and velocity of two observers?
[ "What measures the time and velocity of two observers?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111139
5a81feb231013a001a33507f
Group_(mathematics)
Lie groups are of fundamental importance in modern physics: Noether's theorem links continuous symmetries to conserved quantities. Rotation, as well as translations in space and time are basic symmetries of the laws of mechanics. They can, for instance, be used to construct simple models—imposing, say, axial symmetry o...
What are the translations in a group of Minkowski space called?
What are the translations in a group of Minkowski space called?
[ "What are the translations in a group of Minkowski space called?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111140
57283f6d2ca10214002da17a
Group_(mathematics)
In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group. For example, if the requirement that every element has an inverse is eliminated, the resulting algebraic structure is called a monoid. The natural numbers N (including 0) under addition form a monoid, as do the non...
What product is created if the requirement that every element has an inverse is eliminated?
What product is created if the requirement that every element has an inverse is eliminated?
[ "What product is created if the requirement that every element has an inverse is eliminated?" ]
{ "text": [ "monoid" ], "answer_start": [ 233 ] }
gem-squad_v2-train-111141
57283f6d2ca10214002da17b
Group_(mathematics)
In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group. For example, if the requirement that every element has an inverse is eliminated, the resulting algebraic structure is called a monoid. The natural numbers N (including 0) under addition form a monoid, as do the non...
What type of numbers under addition form a monoid?
What type of numbers under addition form a monoid?
[ "What type of numbers under addition form a monoid?" ]
{ "text": [ "natural numbers N (including 0)" ], "answer_start": [ 245 ] }
gem-squad_v2-train-111142
57283f6d2ca10214002da17c
Group_(mathematics)
In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group. For example, if the requirement that every element has an inverse is eliminated, the resulting algebraic structure is called a monoid. The natural numbers N (including 0) under addition form a monoid, as do the non...
What method formally adds inverses to elements to any monoid?
What method formally adds inverses to elements to any monoid?
[ "What method formally adds inverses to elements to any monoid?" ]
{ "text": [ "the Grothendieck group" ], "answer_start": [ 541 ] }
gem-squad_v2-train-111143
57283f6d2ca10214002da17d
Group_(mathematics)
In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group. For example, if the requirement that every element has an inverse is eliminated, the resulting algebraic structure is called a monoid. The natural numbers N (including 0) under addition form a monoid, as do the non...
What can be replaced to simplify abstract algebra concepts?
What can be replaced to simplify abstract algebra concepts?
[ "What can be replaced to simplify abstract algebra concepts?" ]
{ "text": [ "the binary operation" ], "answer_start": [ 896 ] }
gem-squad_v2-train-111144
5a81ff7e31013a001a33508d
Group_(mathematics)
In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group. For example, if the requirement that every element has an inverse is eliminated, the resulting algebraic structure is called a monoid. The natural numbers N (including 0) under addition form a monoid, as do the non...
Axioms are defined by relaxing what?
Axioms are defined by relaxing what?
[ "Axioms are defined by relaxing what?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111145
5a81ff7e31013a001a33508e
Group_(mathematics)
In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group. For example, if the requirement that every element has an inverse is eliminated, the resulting algebraic structure is called a monoid. The natural numbers N (including 0) under addition form a monoid, as do the non...
What is the inverse of every element called?
What is the inverse of every element called?
[ "What is the inverse of every element called?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111146
5a81ff7e31013a001a33508f
Group_(mathematics)
In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group. For example, if the requirement that every element has an inverse is eliminated, the resulting algebraic structure is called a monoid. The natural numbers N (including 0) under addition form a monoid, as do the non...
What is derived from (Q \ [0],-)?
What is derived from (Q \ [0],-)?
[ "What is derived from (Q \\ [0],-)?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111147
5a81ff7e31013a001a335090
Group_(mathematics)
In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group. For example, if the requirement that every element has an inverse is eliminated, the resulting algebraic structure is called a monoid. The natural numbers N (including 0) under addition form a monoid, as do the non...
What needs to be defined in Groupoids for a and b?
What needs to be defined in Groupoids for a and b?
[ "What needs to be defined in Groupoids for a and b?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111148
5a81ff7e31013a001a335091
Group_(mathematics)
In abstract algebra, more general structures are defined by relaxing some of the axioms defining a group. For example, if the requirement that every element has an inverse is eliminated, the resulting algebraic structure is called a monoid. The natural numbers N (including 0) under addition form a monoid, as do the non...
What does generalizing an n-ary group give rise to?
What does generalizing an n-ary group give rise to?
[ "What does generalizing an n-ary group give rise to?" ]
{ "text": [], "answer_start": [] }
gem-squad_v2-train-111149
57318c85a5e9cc1400cdc03b
Religion_in_ancient_Rome
The priesthoods of public religion were held by members of the elite classes. There was no principle analogous to separation of church and state in ancient Rome. During the Roman Republic (509–27 BC), the same men who were elected public officials might also serve as augurs and pontiffs. Priests married, raised familie...
The members of what class were priests in ancient Rome?
The members of what class were priests in ancient Rome?
[ "The members of what class were priests in ancient Rome?" ]
{ "text": [ "elite" ], "answer_start": [ 63 ] }
gem-squad_v2-train-111150
57318c85a5e9cc1400cdc03c
Religion_in_ancient_Rome
The priesthoods of public religion were held by members of the elite classes. There was no principle analogous to separation of church and state in ancient Rome. During the Roman Republic (509–27 BC), the same men who were elected public officials might also serve as augurs and pontiffs. Priests married, raised familie...
What kind of political separation did not exist in Rome?
What kind of political separation did not exist in Rome?
[ "What kind of political separation did not exist in Rome? " ]
{ "text": [ "church and state" ], "answer_start": [ 128 ] }
gem-squad_v2-train-111151
57318c85a5e9cc1400cdc03d
Religion_in_ancient_Rome
The priesthoods of public religion were held by members of the elite classes. There was no principle analogous to separation of church and state in ancient Rome. During the Roman Republic (509–27 BC), the same men who were elected public officials might also serve as augurs and pontiffs. Priests married, raised familie...
What was the time span of the Roman Republic?
What was the time span of the Roman Republic?
[ "What was the time span of the Roman Republic?" ]
{ "text": [ "509–27 BC" ], "answer_start": [ 189 ] }
gem-squad_v2-train-111152
57318c85a5e9cc1400cdc03e
Religion_in_ancient_Rome
The priesthoods of public religion were held by members of the elite classes. There was no principle analogous to separation of church and state in ancient Rome. During the Roman Republic (509–27 BC), the same men who were elected public officials might also serve as augurs and pontiffs. Priests married, raised familie...
Which God exemplified just rule for the Romans?
Which God exemplified just rule for the Romans?
[ "Which God exemplified just rule for the Romans?" ]
{ "text": [ "Jupiter" ], "answer_start": [ 822 ] }
gem-squad_v2-train-111153
57318c85a5e9cc1400cdc03f
Religion_in_ancient_Rome
The priesthoods of public religion were held by members of the elite classes. There was no principle analogous to separation of church and state in ancient Rome. During the Roman Republic (509–27 BC), the same men who were elected public officials might also serve as augurs and pontiffs. Priests married, raised familie...
As a result of what war were many new temples built by victorious generals?
As a result of what war were many new temples built by victorious generals?
[ "As a result of what war were many new temples built by victorious generals?" ]
{ "text": [ "Punic Wars" ], "answer_start": [ 874 ] }
gem-squad_v2-train-111154
57318f2c05b4da19006bd2ac
Religion_in_ancient_Rome
Roman religion was thus practical and contractual, based on the principle of do ut des, "I give that you might give." Religion depended on knowledge and the correct practice of prayer, ritual, and sacrifice, not on faith or dogma, although Latin literature preserves learned speculation on the nature of the divine and i...
What characteristics were not inherent in Roman religious practice?
What characteristics were not inherent in Roman religious practice?
[ "What characteristics were not inherent in Roman religious practice?" ]
{ "text": [ "faith or dogma" ], "answer_start": [ 215 ] }
gem-squad_v2-train-111155
57318f2c05b4da19006bd2ad
Religion_in_ancient_Rome
Roman religion was thus practical and contractual, based on the principle of do ut des, "I give that you might give." Religion depended on knowledge and the correct practice of prayer, ritual, and sacrifice, not on faith or dogma, although Latin literature preserves learned speculation on the nature of the divine and i...
What was brought forth by religion in Rome?
What was brought forth by religion in Rome?
[ "What was brought forth by religion in Rome?" ]
{ "text": [ "social order" ], "answer_start": [ 468 ] }
gem-squad_v2-train-111156
57318f2c05b4da19006bd2ae
Religion_in_ancient_Rome
Roman religion was thus practical and contractual, based on the principle of do ut des, "I give that you might give." Religion depended on knowledge and the correct practice of prayer, ritual, and sacrifice, not on faith or dogma, although Latin literature preserves learned speculation on the nature of the divine and i...
What religious feature did each Roman home have?
What religious feature did each Roman home have?
[ "What religious feature did each Roman home have?" ]
{ "text": [ "household shrine" ], "answer_start": [ 554 ] }
gem-squad_v2-train-111157
57318f2c05b4da19006bd2af
Religion_in_ancient_Rome
Roman religion was thus practical and contractual, based on the principle of do ut des, "I give that you might give." Religion depended on knowledge and the correct practice of prayer, ritual, and sacrifice, not on faith or dogma, although Latin literature preserves learned speculation on the nature of the divine and i...
What type of celebrations made up the Roman calendar?
What type of celebrations made up the Roman calendar?
[ "What type of celebrations made up the Roman calendar?" ]
{ "text": [ "religious observances" ], "answer_start": [ 773 ] }
gem-squad_v2-train-111158
57318f2c05b4da19006bd2b0
Religion_in_ancient_Rome
Roman religion was thus practical and contractual, based on the principle of do ut des, "I give that you might give." Religion depended on knowledge and the correct practice of prayer, ritual, and sacrifice, not on faith or dogma, although Latin literature preserves learned speculation on the nature of the divine and i...
What religious group was in charge of Rome's sacred flame?
What religious group was in charge of Rome's sacred flame?
[ "What religious group was in charge of Rome's sacred flame?" ]
{ "text": [ "Vestals" ], "answer_start": [ 1015 ] }
gem-squad_v2-train-111159
5731906a497a88190024903f
Religion_in_ancient_Rome
The Romans are known for the great number of deities they honored, a capacity that earned the mockery of early Christian polemicists. The presence of Greeks on the Italian peninsula from the beginning of the historical period influenced Roman culture, introducing some religious practices that became as fundamental as t...
How deities did the Romans have?
How deities did the Romans have?
[ "How deities did the Romans have?" ]
{ "text": [ "great number" ], "answer_start": [ 29 ] }
gem-squad_v2-train-111160
5731906a497a881900249040
Religion_in_ancient_Rome
The Romans are known for the great number of deities they honored, a capacity that earned the mockery of early Christian polemicists. The presence of Greeks on the Italian peninsula from the beginning of the historical period influenced Roman culture, introducing some religious practices that became as fundamental as t...
What group was an influence to Roman culture?
What group was an influence to Roman culture?
[ "What group was an influence to Roman culture?" ]
{ "text": [ "Greeks" ], "answer_start": [ 150 ] }
gem-squad_v2-train-111161
5731906a497a881900249041
Religion_in_ancient_Rome
The Romans are known for the great number of deities they honored, a capacity that earned the mockery of early Christian polemicists. The presence of Greeks on the Italian peninsula from the beginning of the historical period influenced Roman culture, introducing some religious practices that became as fundamental as t...
What sort of practices did the Greeks offer to Rome's culture?
What sort of practices did the Greeks offer to Rome's culture?
[ "What sort of practices did the Greeks offer to Rome's culture?" ]
{ "text": [ "religious" ], "answer_start": [ 269 ] }
gem-squad_v2-train-111162
5731906a497a881900249042
Religion_in_ancient_Rome
The Romans are known for the great number of deities they honored, a capacity that earned the mockery of early Christian polemicists. The presence of Greeks on the Italian peninsula from the beginning of the historical period influenced Roman culture, introducing some religious practices that became as fundamental as t...
What myths did the Romans adapt to their needs?
What myths did the Romans adapt to their needs?
[ "What myths did the Romans adapt to their needs?" ]
{ "text": [ "Greek" ], "answer_start": [ 457 ] }
gem-squad_v2-train-111163
5731906a497a881900249043
Religion_in_ancient_Rome
The Romans are known for the great number of deities they honored, a capacity that earned the mockery of early Christian polemicists. The presence of Greeks on the Italian peninsula from the beginning of the historical period influenced Roman culture, introducing some religious practices that became as fundamental as t...
What religion influenced augury for the Romans?
What religion influenced augury for the Romans?
[ "What religion influenced augury for the Romans?" ]
{ "text": [ "Etruscan" ], "answer_start": [ 521 ] }
gem-squad_v2-train-111164
57319240a5e9cc1400cdc0d5
Religion_in_ancient_Rome
Imported mystery religions, which offered initiates salvation in the afterlife, were a matter of personal choice for an individual, practiced in addition to carrying on one's family rites and participating in public religion. The mysteries, however, involved exclusive oaths and secrecy, conditions that conservative Rom...
What was the practice of religion to the Romans?
What was the practice of religion to the Romans?
[ "What was the practice of religion to the Romans?" ]
{ "text": [ "personal choice" ], "answer_start": [ 97 ] }
gem-squad_v2-train-111165
57319240a5e9cc1400cdc0d6
Religion_in_ancient_Rome
Imported mystery religions, which offered initiates salvation in the afterlife, were a matter of personal choice for an individual, practiced in addition to carrying on one's family rites and participating in public religion. The mysteries, however, involved exclusive oaths and secrecy, conditions that conservative Rom...
What was the standard practice in Roman religious life?
What was the standard practice in Roman religious life?
[ "What was the standard practice in Roman religious life?" ]
{ "text": [ "public religion" ], "answer_start": [ 209 ] }
gem-squad_v2-train-111166
57319240a5e9cc1400cdc0d7
Religion_in_ancient_Rome
Imported mystery religions, which offered initiates salvation in the afterlife, were a matter of personal choice for an individual, practiced in addition to carrying on one's family rites and participating in public religion. The mysteries, however, involved exclusive oaths and secrecy, conditions that conservative Rom...
What part of Roman religious practice involved secrecy?
What part of Roman religious practice involved secrecy?
[ "What part of Roman religious practice involved secrecy?" ]
{ "text": [ "mysteries" ], "answer_start": [ 230 ] }
gem-squad_v2-train-111167
57319240a5e9cc1400cdc0d8
Religion_in_ancient_Rome
Imported mystery religions, which offered initiates salvation in the afterlife, were a matter of personal choice for an individual, practiced in addition to carrying on one's family rites and participating in public religion. The mysteries, however, involved exclusive oaths and secrecy, conditions that conservative Rom...
What group viewed the mysteries as suspicious or subversive?
What group viewed the mysteries as suspicious or subversive?
[ "What group viewed the mysteries as suspicious or subversive?" ]
{ "text": [ "conservative Romans" ], "answer_start": [ 304 ] }
gem-squad_v2-train-111168
57319240a5e9cc1400cdc0d9
Religion_in_ancient_Rome
Imported mystery religions, which offered initiates salvation in the afterlife, were a matter of personal choice for an individual, practiced in addition to carrying on one's family rites and participating in public religion. The mysteries, however, involved exclusive oaths and secrecy, conditions that conservative Rom...
What did the mysteries seem to threaten that made the Romans occasionally attempt to ban them?
What did the mysteries seem to threaten that made the Romans occasionally attempt to ban them?
[ "What did the mysteries seem to threaten that made the Romans occasionally attempt to ban them?" ]
{ "text": [ "morality and unity" ], "answer_start": [ 538 ] }
gem-squad_v2-train-111169
573193f005b4da19006bd2e4
Religion_in_ancient_Rome
As the Romans extended their dominance throughout the Mediterranean world, their policy in general was to absorb the deities and cults of other peoples rather than try to eradicate them, since they believed that preserving tradition promoted social stability. One way that Rome incorporated diverse peoples was by suppor...
What did the Romans tend to do with local religions and deities in conquered areas?
What did the Romans tend to do with local religions and deities in conquered areas?
[ "What did the Romans tend to do with local religions and deities in conquered areas? " ]
{ "text": [ "absorb" ], "answer_start": [ 106 ] }
gem-squad_v2-train-111170
573193f005b4da19006bd2e5
Religion_in_ancient_Rome
As the Romans extended their dominance throughout the Mediterranean world, their policy in general was to absorb the deities and cults of other peoples rather than try to eradicate them, since they believed that preserving tradition promoted social stability. One way that Rome incorporated diverse peoples was by suppor...
To the Romans what did them think promoted social stability?
To the Romans what did them think promoted social stability?
[ "To the Romans what did them think promoted social stability?" ]
{ "text": [ "preserving tradition" ], "answer_start": [ 212 ] }
gem-squad_v2-train-111171
573193f005b4da19006bd2e6
Religion_in_ancient_Rome
As the Romans extended their dominance throughout the Mediterranean world, their policy in general was to absorb the deities and cults of other peoples rather than try to eradicate them, since they believed that preserving tradition promoted social stability. One way that Rome incorporated diverse peoples was by suppor...
What facet of a foreign people did Rome add to itself to promote order?
What facet of a foreign people did Rome add to itself to promote order?
[ "What facet of a foreign people did Rome add to itself to promote order?" ]
{ "text": [ "religious heritage" ], "answer_start": [ 331 ] }
gem-squad_v2-train-111172
573193f005b4da19006bd2e7
Religion_in_ancient_Rome
As the Romans extended their dominance throughout the Mediterranean world, their policy in general was to absorb the deities and cults of other peoples rather than try to eradicate them, since they believed that preserving tradition promoted social stability. One way that Rome incorporated diverse peoples was by suppor...
To what areas of the Roman empire did the Romans take their deities?
To what areas of the Roman empire did the Romans take their deities?
[ "To what areas of the Roman empire did the Romans take their deities?" ]
{ "text": [ "remote provinces" ], "answer_start": [ 721 ] }
gem-squad_v2-train-111173
573193f005b4da19006bd2e8
Religion_in_ancient_Rome
As the Romans extended their dominance throughout the Mediterranean world, their policy in general was to absorb the deities and cults of other peoples rather than try to eradicate them, since they believed that preserving tradition promoted social stability. One way that Rome incorporated diverse peoples was by suppor...
What facet of religion was not an issue for Roman?
What facet of religion was not an issue for Roman?
[ "What facet of religion was not an issue for Roman?" ]
{ "text": [ "tolerance" ], "answer_start": [ 956 ] }
gem-squad_v2-train-111174
573195dbe6313a140071d0e0
Religion_in_ancient_Rome
In the wake of the Republic's collapse, state religion had adapted to support the new regime of the emperors. Augustus, the first Roman emperor, justified the novelty of one-man rule with a vast program of religious revivalism and reform. Public vows formerly made for the security of the republic now were directed at t...
After the Republic collapsed, what addition was made to the religions of Rome?
After the Republic collapsed, what addition was made to the religions of Rome?
[ "After the Republic collapsed, what addition was made to the religions of Rome?" ]
{ "text": [ "emperors" ], "answer_start": [ 100 ] }
gem-squad_v2-train-111175
573195dbe6313a140071d0e1
Religion_in_ancient_Rome
In the wake of the Republic's collapse, state religion had adapted to support the new regime of the emperors. Augustus, the first Roman emperor, justified the novelty of one-man rule with a vast program of religious revivalism and reform. Public vows formerly made for the security of the republic now were directed at t...
Who was the first Roman emperor?
Who was the first Roman emperor?
[ "Who was the first Roman emperor?" ]
{ "text": [ "Augustus" ], "answer_start": [ 110 ] }
gem-squad_v2-train-111176
573195dbe6313a140071d0e2
Religion_in_ancient_Rome
In the wake of the Republic's collapse, state religion had adapted to support the new regime of the emperors. Augustus, the first Roman emperor, justified the novelty of one-man rule with a vast program of religious revivalism and reform. Public vows formerly made for the security of the republic now were directed at t...
For whose well being were public vows made in the empire?
For whose well being were public vows made in the empire?
[ "For whose well being were public vows made in the empire?" ]
{ "text": [ "emperor" ], "answer_start": [ 340 ] }
gem-squad_v2-train-111177
573195dbe6313a140071d0e3
Religion_in_ancient_Rome
In the wake of the Republic's collapse, state religion had adapted to support the new regime of the emperors. Augustus, the first Roman emperor, justified the novelty of one-man rule with a vast program of religious revivalism and reform. Public vows formerly made for the security of the republic now were directed at t...
What did the Romans use as a means of expanding their rule throughout the empire?
What did the Romans use as a means of expanding their rule throughout the empire?
[ "What did the Romans use as a means of expanding their rule throughout the empire?" ]
{ "text": [ "Imperial cult" ], "answer_start": [ 518 ] }
gem-squad_v2-train-111178
573195dbe6313a140071d0e4
Religion_in_ancient_Rome
In the wake of the Republic's collapse, state religion had adapted to support the new regime of the emperors. Augustus, the first Roman emperor, justified the novelty of one-man rule with a vast program of religious revivalism and reform. Public vows formerly made for the security of the republic now were directed at t...
As what during the time of the Roman empire was rejection of the state religion viewed?
As what during the time of the Roman empire was rejection of the state religion viewed?
[ "As what during the time of the Roman empire was rejection of the state religion viewed?" ]
{ "text": [ "treason" ], "answer_start": [ 741 ] }
gem-squad_v2-train-111179
57319760e99e3014001e6174
Religion_in_ancient_Rome
Rome had a semi-divine ancestor in the Trojan refugee Aeneas, son of Venus, who was said to have established the nucleus of Roman religion when he brought the Palladium, Lares and Penates from Troy to Italy. These objects were believed in historical times to remain in the keeping of the Vestals, Rome's female priesthoo...
What mythical figure did the Romans consider to be semi-divine?
What mythical figure did the Romans consider to be semi-divine?
[ "What mythical figure did the Romans consider to be semi-divine?" ]
{ "text": [ "Aeneas" ], "answer_start": [ 54 ] }
gem-squad_v2-train-111180
57319760e99e3014001e6175
Religion_in_ancient_Rome
Rome had a semi-divine ancestor in the Trojan refugee Aeneas, son of Venus, who was said to have established the nucleus of Roman religion when he brought the Palladium, Lares and Penates from Troy to Italy. These objects were believed in historical times to remain in the keeping of the Vestals, Rome's female priesthoo...
Of what did Aeneas establish the central feature?
Of what did Aeneas establish the central feature?
[ "Of what did Aeneas establish the central feature?" ]
{ "text": [ "Roman religion" ], "answer_start": [ 124 ] }
gem-squad_v2-train-111181
57319760e99e3014001e6176
Religion_in_ancient_Rome
Rome had a semi-divine ancestor in the Trojan refugee Aeneas, son of Venus, who was said to have established the nucleus of Roman religion when he brought the Palladium, Lares and Penates from Troy to Italy. These objects were believed in historical times to remain in the keeping of the Vestals, Rome's female priesthoo...
Who were the keepers of Aeneas's sacred objects?
Who were the keepers of Aeneas's sacred objects?
[ "Who were the keepers of Aeneas's sacred objects?" ]
{ "text": [ "Vestals" ], "answer_start": [ 288 ] }
gem-squad_v2-train-111182
57319760e99e3014001e6177
Religion_in_ancient_Rome
Rome had a semi-divine ancestor in the Trojan refugee Aeneas, son of Venus, who was said to have established the nucleus of Roman religion when he brought the Palladium, Lares and Penates from Troy to Italy. These objects were believed in historical times to remain in the keeping of the Vestals, Rome's female priesthoo...
What ancient festival was celebrated until the 5th century?
What ancient festival was celebrated until the 5th century?
[ "What ancient festival was celebrated until the 5th century?" ]
{ "text": [ "Lupercalia" ], "answer_start": [ 598 ] }
gem-squad_v2-train-111183
57319760e99e3014001e6178
Religion_in_ancient_Rome
Rome had a semi-divine ancestor in the Trojan refugee Aeneas, son of Venus, who was said to have established the nucleus of Roman religion when he brought the Palladium, Lares and Penates from Troy to Italy. These objects were believed in historical times to remain in the keeping of the Vestals, Rome's female priesthoo...
To whom did Aeneas set up an alter in Rome?
To whom did Aeneas set up an alter in Rome?
[ "To whom did Aeneas set up an alter in Rome?" ]
{ "text": [ "Hercules" ], "answer_start": [ 502 ] }
gem-squad_v2-train-111184
57319878e17f3d1400422255
Religion_in_ancient_Rome
The myth of a Trojan founding with Greek influence was reconciled through an elaborate genealogy (the Latin kings of Alba Longa) with the well-known legend of Rome's founding by Romulus and Remus. The most common version of the twins' story displays several aspects of hero myth. Their mother, Rhea Silvia, had been orde...
What mythical characters were involved in the founding of Rome?
What mythical characters were involved in the founding of Rome?
[ "What mythical characters were involved in the founding of Rome?" ]
{ "text": [ "Romulus and Remus" ], "answer_start": [ 178 ] }
gem-squad_v2-train-111185
57319878e17f3d1400422256
Religion_in_ancient_Rome
The myth of a Trojan founding with Greek influence was reconciled through an elaborate genealogy (the Latin kings of Alba Longa) with the well-known legend of Rome's founding by Romulus and Remus. The most common version of the twins' story displays several aspects of hero myth. Their mother, Rhea Silvia, had been orde...
What type of story was the Romulus and Remus tale?
What type of story was the Romulus and Remus tale?
[ "What type of story was the Romulus and Remus tale?" ]
{ "text": [ "hero myth" ], "answer_start": [ 269 ] }
gem-squad_v2-train-111186
57319878e17f3d1400422257
Religion_in_ancient_Rome
The myth of a Trojan founding with Greek influence was reconciled through an elaborate genealogy (the Latin kings of Alba Longa) with the well-known legend of Rome's founding by Romulus and Remus. The most common version of the twins' story displays several aspects of hero myth. Their mother, Rhea Silvia, had been orde...
Who was the mother of Romulus and Remus?
Who was the mother of Romulus and Remus?
[ "Who was the mother of Romulus and Remus?" ]
{ "text": [ "Rhea Silvia" ], "answer_start": [ 294 ] }
gem-squad_v2-train-111187
57319878e17f3d1400422258
Religion_in_ancient_Rome
The myth of a Trojan founding with Greek influence was reconciled through an elaborate genealogy (the Latin kings of Alba Longa) with the well-known legend of Rome's founding by Romulus and Remus. The most common version of the twins' story displays several aspects of hero myth. Their mother, Rhea Silvia, had been orde...
What god was the father of Romulus and Remus?
What god was the father of Romulus and Remus?
[ "What god was the father of Romulus and Remus?" ]
{ "text": [ "Mars" ], "answer_start": [ 534 ] }
gem-squad_v2-train-111188
57319878e17f3d1400422259
Religion_in_ancient_Rome
The myth of a Trojan founding with Greek influence was reconciled through an elaborate genealogy (the Latin kings of Alba Longa) with the well-known legend of Rome's founding by Romulus and Remus. The most common version of the twins' story displays several aspects of hero myth. Their mother, Rhea Silvia, had been orde...
What type of events saved the twins of Roman myth?
What type of events saved the twins of Roman myth?
[ "What type of events saved the twins of Roman myth?" ]
{ "text": [ "miraculous" ], "answer_start": [ 638 ] }
gem-squad_v2-train-111189
573199ecb9d445190005e3fd
Religion_in_ancient_Rome
Romulus was credited with several religious institutions. He founded the Consualia festival, inviting the neighbouring Sabines to participate; the ensuing rape of the Sabine women by Romulus's men further embedded both violence and cultural assimilation in Rome's myth of origins. As a successful general, Romulus is als...
What type of organization did Romulus establish?
What type of organization did Romulus establish?
[ "What type of organization did Romulus establish?" ]
{ "text": [ "religious" ], "answer_start": [ 34 ] }
gem-squad_v2-train-111190
573199ecb9d445190005e3fe
Religion_in_ancient_Rome
Romulus was credited with several religious institutions. He founded the Consualia festival, inviting the neighbouring Sabines to participate; the ensuing rape of the Sabine women by Romulus's men further embedded both violence and cultural assimilation in Rome's myth of origins. As a successful general, Romulus is als...
What religious festival did Romulus found?
What religious festival did Romulus found?
[ "What religious festival did Romulus found?" ]
{ "text": [ "Consualia" ], "answer_start": [ 73 ] }
gem-squad_v2-train-111191
573199ecb9d445190005e3ff
Religion_in_ancient_Rome
Romulus was credited with several religious institutions. He founded the Consualia festival, inviting the neighbouring Sabines to participate; the ensuing rape of the Sabine women by Romulus's men further embedded both violence and cultural assimilation in Rome's myth of origins. As a successful general, Romulus is als...
According to myth, what god's temple did Romulus found?
According to myth, what god's temple did Romulus found?
[ "According to myth, what god's temple did Romulus found?" ]
{ "text": [ "Jupiter" ], "answer_start": [ 370 ] }
gem-squad_v2-train-111192
573199ecb9d445190005e400
Religion_in_ancient_Rome
Romulus was credited with several religious institutions. He founded the Consualia festival, inviting the neighbouring Sabines to participate; the ensuing rape of the Sabine women by Romulus's men further embedded both violence and cultural assimilation in Rome's myth of origins. As a successful general, Romulus is als...
What did Romulus offer to Jupiter in the first Roman Triumph?
What did Romulus offer to Jupiter in the first Roman Triumph?
[ "What did Romulus offer to Jupiter in the first Roman Triumph?" ]
{ "text": [ "spoils taken in war" ], "answer_start": [ 428 ] }
gem-squad_v2-train-111193
573199ecb9d445190005e401
Religion_in_ancient_Rome
Romulus was credited with several religious institutions. He founded the Consualia festival, inviting the neighbouring Sabines to participate; the ensuing rape of the Sabine women by Romulus's men further embedded both violence and cultural assimilation in Rome's myth of origins. As a successful general, Romulus is als...
Instead of death, what happened to Romulus?
Instead of death, what happened to Romulus?
[ "Instead of death, what happened to Romulus?" ]
{ "text": [ "deified" ], "answer_start": [ 564 ] }
gem-squad_v2-train-111194
57319b91e17f3d1400422269
Religion_in_ancient_Rome
Each of Rome's legendary or semi-legendary kings was associated with one or more religious institutions still known to the later Republic. Tullus Hostilius and Ancus Marcius instituted the fetial priests. The first "outsider" Etruscan king, Lucius Tarquinius Priscus, founded a Capitoline temple to the triad Jupiter, Ju...
To what were the first kings of Rome associated?
To what were the first kings of Rome associated?
[ "To what were the first kings of Rome associated?" ]
{ "text": [ "religious institutions" ], "answer_start": [ 81 ] }
gem-squad_v2-train-111195
57319b91e17f3d140042226a
Religion_in_ancient_Rome
Each of Rome's legendary or semi-legendary kings was associated with one or more religious institutions still known to the later Republic. Tullus Hostilius and Ancus Marcius instituted the fetial priests. The first "outsider" Etruscan king, Lucius Tarquinius Priscus, founded a Capitoline temple to the triad Jupiter, Ju...
To what group of deities did Lucius Tarquinius Priscus establish a temple?
To what group of deities did Lucius Tarquinius Priscus establish a temple?
[ "To what group of deities did Lucius Tarquinius Priscus establish a temple?" ]
{ "text": [ "Jupiter, Juno and Minerva" ], "answer_start": [ 309 ] }
gem-squad_v2-train-111196
57319b91e17f3d140042226b
Religion_in_ancient_Rome
Each of Rome's legendary or semi-legendary kings was associated with one or more religious institutions still known to the later Republic. Tullus Hostilius and Ancus Marcius instituted the fetial priests. The first "outsider" Etruscan king, Lucius Tarquinius Priscus, founded a Capitoline temple to the triad Jupiter, Ju...
Where was the temple to the triad gods established?
Where was the temple to the triad gods established?
[ "Where was the temple to the triad gods established?" ]
{ "text": [ "Capitoline" ], "answer_start": [ 278 ] }
gem-squad_v2-train-111197
57319b91e17f3d140042226c
Religion_in_ancient_Rome
Each of Rome's legendary or semi-legendary kings was associated with one or more religious institutions still known to the later Republic. Tullus Hostilius and Ancus Marcius instituted the fetial priests. The first "outsider" Etruscan king, Lucius Tarquinius Priscus, founded a Capitoline temple to the triad Jupiter, Ju...
What organization did Servius Tullius found?
What organization did Servius Tullius found?
[ "What organization did Servius Tullius found?" ]
{ "text": [ "Latin League," ], "answer_start": [ 485 ] }
gem-squad_v2-train-111198
57319b91e17f3d140042226d
Religion_in_ancient_Rome
Each of Rome's legendary or semi-legendary kings was associated with one or more religious institutions still known to the later Republic. Tullus Hostilius and Ancus Marcius instituted the fetial priests. The first "outsider" Etruscan king, Lucius Tarquinius Priscus, founded a Capitoline temple to the triad Jupiter, Ju...
The removal of whom marked the beginning of the Roman Republic?
The removal of whom marked the beginning of the Roman Republic?
[ "The removal of whom marked the beginning of the Roman Republic?" ]
{ "text": [ "Tarquinius Superbus" ], "answer_start": [ 635 ] }
gem-squad_v2-train-111199
5731a18fe17f3d140042228b
Religion_in_ancient_Rome
Rome offers no native creation myth, and little mythography to explain the character of its deities, their mutual relationships or their interactions with the human world, but Roman theology acknowledged that di immortales (immortal gods) ruled all realms of the heavens and earth. There were gods of the upper heavens, ...
What type of myth did Rome not have?
What type of myth did Rome not have?
[ "What type of myth did Rome not have?" ]
{ "text": [ "creation" ], "answer_start": [ 22 ] }